diff --git "a/data/dm_maths/full_data_1/1745_11255.jsonl" "b/data/dm_maths/full_data_1/1745_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1745_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -4*f - 2*k + 10, 2*k - 13 = -3*f - 2*f. Let j(h) = h**2 - h - 2. Let n be j(f). Suppose 0*a = n*a - 28. Solve -a = 2*o - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3593 is divided by 468?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:54 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.245 (b) -0.3 (c) -369.1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244576\/5, -122, 1, 2, 5.\nAnswer: -244576\/5, -122, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**8\/224 - y**6\/20 - y**5\/20 + 3*y**4\/16 + y**3\/2 - y**2. Factor c(g).\nAnswer: 3*(g - 2)*(g - 1)*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 46 - 6 = -0*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - -324?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -417\/2233 + 1\/203. Suppose 0 = -9*i + 108 - 72. What is the second smallest value in -1\/4, i, k, -0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/90 + 43*b**5\/120 + 5*b**4\/6 - 7*b**2. Let h(k) be the second derivative of r(k). What is the tens digit of h(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 j when four letters picked without replacement from {p: 1, j: 7, d: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 16 - 13. Is -44*(t - 81\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 12*f**2 + 16 - 33 + 13*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 10 = 2*k. Suppose 42 = -4*m + 4*y + 178, -k*m + 130 = 5*y. Let g = m - 14. Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11. Let n be 24\/45 + (-1)\/3. Which is greater: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**4 - 5 - n**3 + 2*n**3 + 6 to g*n**2 + j*n**3 + q + l*n**4 + x*n and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-four fifths of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117968660 rounded to the nearest one million?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 447400 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -489 - -731. Is 32 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0)\/(7 + (-478)\/68). Which is greater: i or -2473\/18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3*v = -9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4800*n + 1 = -5*g + 4801*n, -14*g + 4*n + 26 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivr when three letters picked without replacement from {r: 2, i: 9, v: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 11*v - 17*v - 2 to y + q*v and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -434*n + 11. Let q be k(-3). Let s = q + -920. What are the prime factors of s?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**2 + 113*l - 3. What is w(-13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 8*p - 9. Let u = -250 - -257. Determine h(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931869.\nAnswer: 3, 47, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q. Let n(a) = -97*a. What is n(u(w))?\nAnswer: -388*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = -3*v + v, 2*v = 4*p - 22. Solve -3*f - 10 = p*k + 2*f, 2*f = -k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z + 3. Let t be g(0). Suppose t - 15 = -6*s. Solve 4*w = 2*f + 1 + 9, -3*f + s*w - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -268*m - 706. What is the hundreds digit of r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**4 + 1966*t**3 - 128 + 112 - 1967*t**3 - 5*t**2 to the form j*t**2 + b*t**4 + w*t**3 + n*t + d and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 4. Let w be u(7). Let l be (-2 + w)*1*1. Let i(k) = -3*k + 4. Is i(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((143\/11)\/13)\/(((-15)\/(-55))\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 22*a + 8. Let p(o) = -761*o. What is r(p(d))?\nAnswer: -16742*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 1\/3, 0, 38\/3, 267, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50034 is divided by 1139?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 6. Suppose -b + d = -4 + 5, 4*b = d + 8. Suppose b*o + 25 = y, -2*o - 2*y - 38 = 3*o. List the prime factors of a(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -18.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12.9*45\nAnswer: -580.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sashhzagmhma. What is prob of picking 1 h and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186006 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -24. Suppose -2*t + p*a = -20, -2*a = -4*t + t + 29. What is the units digit of (-98)\/(-21) - 6\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p + 0*p**2 + 0*p**3 + 1\/9*p**6 + 2\/5*p**5 + 1\/3*p**4 + 187. Let m(w) = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 122907.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 - -2. Let u be (-21)\/(-56) + 87\/24. Let h be u\/(-14) + (-312)\/(-2366). What is the fourth biggest value in d, 0.4, 1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3941*d = -3952*d + 7926*d - 462 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071239 to 5 dps.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/432*(-6)\/4. Let q = -426 - -504. What is the closest to q in b, -1\/10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 112, -1539, 4\/5, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 5*k**4 - 3*k**4 + (4 - 1 - 4)*(232594*k - 364*k**4 - 232594*k) in the form u + a*k**2 + z*k + j*k**4 + s*k**3 and give j.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 - y**3\/3 + y**2\/2 + 15*y - 3046. Give q(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 40 + 70)*(2*j - 4*j + 4*j + (-4 - 2 + 5)*(-3*j + j + j) - 3*j - j + 6*j + 5 - 2*j - 5).\nAnswer: 219*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22136*a - 28397*a = 256701 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(81))\/(-3*sqrt(18)) + (sqrt(576) + -1*sqrt(576))\/(2*sqrt(300)) + -3.\nAnswer: -3 - sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 360, 377, 394?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1288.8758 to 0 decimal places.\nAnswer: -1289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -830067162 divided by -483159\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-382)\/(-12) - (-5)\/30.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 17*p - 104. Suppose 0 = -o + p, 5*y = 6*y - 3*o - 761. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14818443433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8539.944 hours in days?\nAnswer: 355.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 208, 212, 218, 226, 236, 248?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.43642926 rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.76376mg to tonnes.\nAnswer: 0.00000001876376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549708 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 6) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/3 - -2)\/(3\/(-3015)). Suppose -5*x = -0*x - m. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/15 - (-4)\/6. Let j be c*4\/(-6) - -5. Suppose -3*f + 28 = 4*f. Is f at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 3*y**2\/2 + 2*y - 1. Let n(h) = 3*h + 2. Determine 5*n(f) - 4*v(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**5\/5 + 5*d**3\/6 + 8*d - 1. Let u(b) be the first derivative of x(b). Find the second derivative of u(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - ((-726)\/12 + -4). Let p = 74 - y. Let x(f) = f**2 - 10*f + 3. What is x(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**2 + 4*b + 840 = 0.\nAnswer: -14, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 22*z. Let s(m) be the first derivative of -m**3 - 42. Let o(f) = 5*f**2. Let i(k) = -3*o(k) - 6*s(k). Calculate x(i(t)).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y + 50 - 55 = 84*y - 3*t + 4*t, 4*y + 9 = -5*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 364*z + 2177. Let d be i(-6). Let k(q) = q**3 + 6*q**2 - 4*q + 11. Determine k(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose -3*k + 1093 + 69 = -i, -5*k + i + 1934 = w. What is the common denominator of k\/(-60) - 5\/(-15) and -21\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 11 - (-3 - (16 - -3)) - 25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 12 = 4*p, -3*g + 5*p = 16. Which is the second biggest value? (a) 10.5 (b) -0.03 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**3 + 6*g**2 + 5*g - 2. Let x(w) = 19*w**3 - 13*w**2 - 11*w + 4. Suppose 4*p + 111 - 39 = 0. Let t be 3\/(p\/6) - (7 + -2). Give t*x(l) - 13*z(l).\nAnswer: 3*l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*-3*(2*sqrt(200) + -5 - (sqrt(200) - (sqrt(200) + sqrt(200)*-1)*-1)).\nAnswer: -60*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16179767 * 3\nAnswer: -48539301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 69*a**2 + 420*a + 260. Determine y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 2040?\nAnswer: 148920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(7) + sqrt(847) + 0 + sqrt(7) + -2)*2)**2.\nAnswer: -364*sqrt(7) + 4781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 + (1 - 4 + 5)*(1 - 3 + 1) + 2 + 3 - 4 - 2 + 4 - 3)*(26*t**2 + 158*t**2 - 6*t**2).\nAnswer: -178*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/6 + 2*g**3\/3 - 2*g**2\/3 - 8*g\/3 = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2 - 2. Suppose s = 10*c + 20. Let l be (-3 - c)*-6*9\/6. Solve 2*k + 20 = -4*z, 2*z + 3*k + l + 1 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 + 83*u**4 + 1102*u**3 + 3598*u**2 + 1203*u - 5985 = 0?\nAnswer: -7, -3, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 42. Let b be 3\/15 + (-144)\/(-30). Suppose 0*t - t = 0. Solve -b*x + j = -t*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 1, -4*m - 4*i - 214 - 50 = 0. What is the remainder when 59 is divided by (-2090)\/m - (-12)\/(-78)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 39675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**6\/6 + 9*k**5 + 395*k**4\/6 + 70*k**3 - 1395*k**2\/2 + 60*k - 7. Determine h, given that w(h) = 0.\nAnswer: -31, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2134*c**2 + 107 - 54 - 55 + 2254*c**2 - 4182*c**2.\nAnswer: 206*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 62694.61973 to the nearest integer.\nAnswer: 62695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 12*o + 5*o)*(2*o**2 + 3*o**2 - o**2) + (1 - 1 + 2*o)*(-10*o**2 + 7*o**2 + 21*o**2).\nAnswer: 104*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(250))\/(sqrt(18)\/sqrt(729)*4).\nAnswer: 225*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169681 is divided by 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 + 4\/3*n**3 + 39*n - 1\/3*n**4 - 11\/2*n**2. Find the first derivative of b(c) wrt c.\nAnswer: -8*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2*r + 2\/3*r**3 + 19 - 2*r**2. What are the prime factors of v(-6)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8483531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 150227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2025 - 2013 = 6*d. Solve 25 = d*x - 5*y, -4*x + 3*x + 4*y = -17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 - 10*l - 8. Let a(b) = b**2 + b - 1. Calculate 6*a(o) - r(o).\nAnswer: o**2 + 16*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/720 and 59\/60.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -945\/4 + 3059\/12. Let g = 9748 - 263267\/27. Calculate the common denominator of f and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-205)\/287 - (-57)\/21. Solve -4*o = -4*u, 2*o + x*u + 18 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3940*w - 162. Let p(b) = 5928*b - 243. Let y(o) = -8*c(o) + 5*p(o). What is the derivative of y(h) wrt h?\nAnswer: -1880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 + -198. Let q(w) = 3*w**3 + 2*w**2 + 3*w + 3. Let y be q(-2). Is y <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(538*y + 237399 - 237399)*(-1 + 1 + 1) to j + w*y and give w.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6304 - -10.8011. Let s = 12.04 - y. What is s rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 198*t**2 - 4*t - 109. Let x(j) = -j**2 - 2*j - 1. Let p(l) = m(l) - 2*x(l). Differentiate p(n) with respect to n.\nAnswer: 400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*i**3 - 86*i**3 + 36*i**3)*(3 - 36*i + 36*i - i**2).\nAnswer: -207*i**5 + 621*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 8, 26, 6290?\nAnswer: 6290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011118 rounded to seven dps?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14424870*f**4 + 4*f**3 - 127002931*f**2 wrt f?\nAnswer: 346196880*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2477, 20123, 68275, 162269, 317441?\nAnswer: 549127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231005280.\nAnswer: 2, 3, 5, 11, 67, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/5 + 902*t**2\/5 = 0. What is t?\nAnswer: 0, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 3. Let a = 5 + -2. Suppose 0*y + y - a = 0. Let l(m) = -2*m - 1. Calculate y*f(i) - 7*l(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from ttxtsttyxswt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 11. Let b(s) = s + 2. Let a(j) = -11*b(j) - 2*z(j). Let l(x) be the second derivative of 0*x**2 + 1\/3*x**3 + 0 - 3*x. Give a(l(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:53 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -55913227 times -6\nAnswer: 335479362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*w + 50*w - 42. Let x(a) = -5*a**2 - 5*a - 5. Let y(t) be the second derivative of -t**4\/4 - t**3\/3 - t**2 - t. Calculate w*x(i) - 5*y(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/14)\/(5\/35). Suppose -r*u + l + 2 = -2, -4*l + 11 = u. What is the first derivative of -u*b + 0*b + 1 + 0*b wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.13 (b) -15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0172865 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282768 divided by 35346.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*n - 95, 65 = -n + 4*n + 5*j. Calculate the remainder when 59 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y**2 + 2*y + 8. Suppose -3*f - 19 = -f - 5*i, 0 = f - 4*i + 14. Is 12 a factor of v(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/54 + 1288*p**3\/9 - 414736*p**2 + p + 5328. Factor s(z).\nAnswer: -2*(z - 1932)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**2. Let j(a) = -a - 4. Let m(y) = -2*y - 9. Let w(s) = -9*j(s) + 4*m(s). What is w(r(q))?\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15020 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhhlhhhhhhlhhhhhlhh. Give prob of picking 1 h and 3 l.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25*50900)\/(3\/12). Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b + 1. Let o be ((-5)\/(-10))\/((-1)\/2). Let c be (o - -2)\/(3\/(3 + -6)). Determine z(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*v + 3*v. Suppose 0 = -v*k + k - 1585. Let b = k - -458. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2. Let g(q) = -6*q**2 + 3. Let y(o) = -o**3 - 6*o**2 - 7*o - 7. Let r be y(-5). Let u(p) = 6*p**2 - 2. Let w(z) = r*u(z) + 2*g(z). Give w(l(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2684 and -27\/40.\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 a when four letters picked without replacement from {m: 2, a: 3, y: 2, r: 4, p: 2, q: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 1. Let w be 0 + (-6 - -2) - 0. Let t(q) = -q - 1. Give w*t(r) - g(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 + 5*o + 3. Let r be h(5). Let z(f) = 4*f**2 - 37 - 2*f - f**3 + 0*f**3 + 33. Let a be z(r). Sort a, 2, 1, 5 in decreasing order.\nAnswer: 5, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 2*s + 715. Let l be r(17). Solve -168*p = -149*p - l for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-1 + sqrt(200)*-3.\nAnswer: -33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04497 - -3.45617. Let z = 3.44 - a. Is z at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211940 - 770404.6?\nAnswer: -982344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) - (sqrt(171) + sqrt(171)*-2)*2))\/(4*sqrt(324)*-5).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 20*r + 8. Calculate k(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + 2*v + 1. Let i be u(-1). Let g = 81 + -4. Let o = g - 68. Do o and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 107 - 117)*(52*y - 27*y + 43*y) to v + h*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 405, 1136, 1971, 2910, 3953, 5100?\n\"Answer: 52*c**2 + 575*c - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r**3 - 5 + 7341*r**2 - 7341*r**2)*(-3*r - 3*r + 0*r).\nAnswer: -138*r**4 + 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -20 (b) -1 (c) 11 (d) 1\/6 (e) -0.3 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46051 - 46029.069. Let b = f - 22.1. Round b to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -29. Suppose 3*f - 7*f + l*p = 76, 63 = -3*f + 5*p. List the prime factors of 4*(-2)\/f*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s + 282. Determine z(41).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-44)\/(-8))\/(-11))\/(2\/(-12)). Suppose w - 57 = 5*p + 3, 6 = -a*p. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - z - 7. Let t(o) = -268*o**2 + 2559. Let s(a) = -4*b(a) - t(a). Differentiate s(r) with respect to r.\nAnswer: 552*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 16*p - 22. Let z be s(6). Calculate the greatest common divisor of z and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37 + 12 + g - 35 + g + 1 - 1 + 3 - g - 3 + (-2 - 3 + 3)*(-2*g + 0 + 0) - 3*g - g + 3*g + (-3 + 3 + 6)*(2*g - 2*g + g).\nAnswer: 10*g - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74\/4 - 1\/2. Solve -3*u + v - 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxtqzxepxeqtxz. Give prob of picking 1 z and 1 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 4 - 4*o + 4*o + (-15 - 58*o + 15)*(17 + 15 - 6).\nAnswer: -1507*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p. Let j(i) be the first derivative of -21*i**2\/2 + 21. Determine j(r(h)).\nAnswer: 63*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*w, 5*k + 4*w = 6*w + 7. Let p be ((-1)\/k + 1)\/(-1). Solve -4*s + 10 = 2*b, 0 = -2*b - p*s + 3*s + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 34. Let w(q) = -2*q**2 - 4*q + 6. Let p be w(x). Does 33 divide ((-18)\/p)\/((-2)\/(-264))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 2 + 115 = 0. Suppose 0 = -m*i + 13216795 + 163583205. What is i rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59561080 by 5.\nAnswer: -11912216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Let h(n) = 16*n - 523. Let m be h(33). Solve k - t*k = 2*b + 4, -m*k - 28 = -2*b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*c*d**3*h - c*d*h - 2*c - 2*d**3*h - 5*d**3 + 898*d**2 - 5*h - 1 with respect to h.\nAnswer: -74*c*d**3 - c*d - 2*d**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2298, 4675, 7052, 9429, 11806, 14183?\nAnswer: 16560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (8 - 4) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/56, 0, 2\/5, 1 in increasing order.\nAnswer: -1, -1\/56, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*f = -367*f + 114. Let t(q) = 17*q**2 - 7. Let w(u) = 16*u**2 - 6. Determine f*t(k) - 7*w(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 4*z - 2*z)*(-z**3 - 4 + 4) - 2*z**4 + 0*z**4 + z**4 + (-4*z**4 - 4*z**4 + z**4)*(0 + 4 - 3) as p + n*z**4 + h*z**2 + m*z + s*z**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4942*j**3 + 1412*j**2 + 1412*j. Let l(w) = 3*w**3 - w**2 - w. Calculate -g(u) - 1412*l(u).\nAnswer: 706*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.2, 3\/7, -5, -365?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = -2*r + 16, -4*q - 4 = 4*r. Is 67\/20 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/(w*w*w*w**(-1\/2)))**(2\/3))**31 assuming w is positive.\nAnswer: w**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/16 (b) 1.6 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose r*x = -2*x. Solve 0 = -c - x*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-40 - -35)) + -3 + (0 - 20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/2573802 and -9\/10?\nAnswer: 12869010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 66*s**2 - 26*s - 1710. What is w(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26672*a = -2*r - 26674*a + 10, -5*r + 3*a + 17 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -q - 4 = 2*s - 25. Let g be ((-12)\/(-15))\/(2\/s). Let 4*f**2 + 2*f**3 + 1 - 3*f**3 - 1 - g*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 3. Determine c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 18*a**2 + 8*a - 185. Let q(c) = 17*c - 9. What is the remainder when q(6) is divided by y(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -2.3. Let j = 92.9 - 97.9. What is the biggest value in k, -2, j, -11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 2*q - 14 - 6 - 2.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1502 divided by -118.\nAnswer: 751\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkuuuwwkkkwquwwg. What is prob of sequence kgk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/3, -1\/3, -0.37, -307?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 7*x**2 - 5*x - 4. Let a be p(6). Suppose 140 = 7*z - a*z. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1242062081 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*a**3*o**2 + 6*a**2*o**2 + 12*o**2 wrt a.\nAnswer: -444*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*a - 231, 2*c - 299 = -4*a + 7*c. Let t = a + -73. What is the least common multiple of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 195481*p**2\/3 + 3184434360*p + 3184369200.\nAnswer: (p + 1)*(p + 97740)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-2)\/(-8))\/((-13)\/(-3796)) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 3*x**2 - 39*x - 3. Let w(k) = k**2 + k - 1. What is -p(a) + 3*w(a)?\nAnswer: 2*a**3 + 42*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o + 6. Let j be k(-6). Suppose -4*v + 9*v + j = -4*f, 3*v + 4*f = -30. Let a be 12\/18 + 4\/v. Solve a*s - 25 = 5*s, -4*s - 24 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -936 (b) 0 (c) 3\/5 (d) -3 (e) -2\/11 (f) -8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -49*j + 9. What is the hundreds digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2736) - sqrt(2736))*3 - sqrt(2736))**2.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24672142*-0.1.\nAnswer: -2467214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -20 - (79 - (-9 + 66))) + -77.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose b*t + 3*t = 6. Let m be 44\/6 - t\/(-3). What is m rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/429 and -62\/6747.\nAnswer: 74217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.5 and 2044.\nAnswer: 19418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134309, -268588, -402835, -537050, -671233?\nAnswer: -805384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77066 + 14103128\/183. Find the common denominator of -85\/1464 and y.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12141671, -24283343, -36425015, -48566687, -60708359?\nAnswer: -72850031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 2 + 4 + 5*t**3)*(-3*t - 5*t + 0*t + (0 + 0 + t)*(35 - 93 + 45)).\nAnswer: -105*t**4 - 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57225?\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f**3*k + f**3 + 2238*f**2 + 63*k**2 wrt k?\nAnswer: 9*f**3 + 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493522?\nAnswer: 2, 29, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 - 1912120*g + 1912116 = 0. Calculate g.\nAnswer: 1, 478029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3681356860 - 3681362032.002791. Let q = -5172 - y. Round q to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*j - 57, j + 8*c - 7*c = 16. What is the smallest common multiple of 45 and j?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 72. What is the remainder when 62 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447554.5 - 447554.2739051. Let s = l - 0.226. What is s rounded to six dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 50, 31, -20, -109, -242, -425?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -962.\nAnswer: -962.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005116 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 - 320. Let k = v - -102. Let b = 16 + -14. Solve -k*f = -b - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 - 23. What is the highest common divisor of 30 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.7 and -11.987447969?\nAnswer: 24.687447969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052570158 to 6 decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 22. Which is the closest to 0.1? (a) -1\/3 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-12)*(46 + 42958\/(-940))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 45*r + 134. Calculate x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {p: 10, b: 2, k: 2, n: 1, t: 2, f: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626028.941 rounded to the nearest 100?\nAnswer: -1626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14267 + 14359. Suppose 5*v = 80 - 20. Calculate the remainder when a is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a**4\/5 + 48*a**3\/5 + 502*a**2\/5 - 154*a + 60 = 0. Calculate a.\nAnswer: -3, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478595\/11 - 43576. Let k = -67 - y. Let m = k - 31\/55. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0*p - 3*p + ((-p + 2*p - 3*p)*(0 - 1 + 2) + 0 - p + 0 + 71 - 19*p - 71)*(-1 + 6 - 3).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:18 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375868 is divided by 377?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -499803\nAnswer: 249901.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(133*u - 106*u - 727*u)*(-3 + 4 + 1) - u + 1 - 1 + (3 - 2 - 2)*(-1 - 2*u + 1).\nAnswer: 1401*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 3*n. Suppose 8*l = 156 + 140. Let r(z) = 40 + z - 5*z - l. What is r(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3.8. Let k = 1317 - 1314.7. What is the closest to k in 2\/21, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 281*r + 12444. Determine u(55).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82829, -73263, -63697, -54131?\n\"Answer: 9566*b - 92395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -65, -99, -133?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - a - 2*a + (-1 + 2 + 0)*(3 - 3 + a) - 7 + 3*a + 7.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12470335, 49881340, 112233015, 199525360?\n\"Answer: 12470335*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let w = 5 + y. Let o = w - 4. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x**3 - 9*x + 21*x - 14*x + (2*x - 5*x - x)*(-3*x - 3*x**2 + 3*x) to the form u*x**2 + i*x**3 + t*x + f and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*l**3 + 156*l**3 - 777*l**3 + 158*l**3 + 152*l**3 + 153*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2)*(-1 + 1 - 1)*(-63 + 63 - 204*h)*(9*h**3 + 6*h**3 - 2*h**3) to l*h**2 + b + f*h + d*h**3 + j*h**4 and give j.\nAnswer: 7956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -25. Let k = y + 13. Solve -4*l = -k*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 39 = -27*o - 9*i, 2*o - 2*i = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 5)*(-93 + 176 - 89) - 1 + 5 - 5 + (1 + 4 - 3)*(3 + 0 - 5))*(-4 + x + 4).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -3, -4, -2, 4249 in increasing order.\nAnswer: -4, -3, -2, -1, 8, 4249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18162057, 36324155, 54486253?\n\"Answer: 18162098*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 5.271\nAnswer: 0.73794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1669525, -6678101, -15025729, -26712409, -41738141, -60102925?\nAnswer: -81806761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - (-4 - 2)) + -6 + 1 + -3 + 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/4 - 90*b. Let p(i) = -i**2 - 30. Give p(j(n)).\nAnswer: -9*n**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/19, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277356518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:32 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 68*m - 194 - 526 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109959?\nAnswer: 3, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/15 - 4\/10. Let t = 1 + 5. What is the third derivative of b**2 - t*b**3 + 10*b**3 + c*b**2 wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 286\/37 (b) -104 (c) 4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 - 1705254*o**2\/13 + 363485547936*o\/13 + 363487253192\/13.\nAnswer: 2*(o - 426314)**2*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 203887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**4 - 9*a**2 - 6*a - 9. Let h(l) = -l**4 + l**2 + l + 1. Let f(y) = 18*h(y) + 2*n(y). Find the second derivative of f(w) wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 8*c**2 - c + 4. What is k(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 19*s - 38. Let c be k(12). Suppose 5*t - 4*v = -34, c = -9*t + 6*t - 4*v. What is the nearest to -0.1 in t, -2\/5, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-262)\/(-8) + 7\/28. Let o be 331\/7 - (-2)\/(-7). Suppose -3*u + v + o = 0, 3*u + v - w = u. Calculate the least common multiple of 4 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(77\/8))\/((-920)\/(-22770)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 i when four letters picked without replacement from nmffvfnmnnfnmimn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:36 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**3 - f**2 + 3*f. Let s = -5504 - -5497. Let q(d) = 13*d**3 + 3*d**2 - 10*d. Determine s*y(b) - 2*q(b).\nAnswer: 2*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let l(w) = 3*w**2 - 7*w - 7. Let h(r) = r**2 - 3*r - 3. Let f(u) = -u**2 - 9*u - 4. Let o be f(-6). Let b(n) = o*h(n) - 6*l(n). Give b(k(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -81. Let o(z) = -z**2 + 6*z + 13. Let d be o(6). What is the greatest common factor of d and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqdd when four letters picked without replacement from qzvqvzvdvdlqqvv?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (1 + 2\/(-4))*32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -1 + 15. Let u = o - -11. Let t = -9 + 14. Solve t*d - 1 = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14185830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -40*n**3 + 4. Let p(m) = 41*m**3 - 5. Give -4*p(s) - 5*y(s).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 - 7 = -5*v, -2*k = -v - 5. Let t = 11 + -7. Sort k, t, 1.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -15. Let h = 9 - s. Suppose -i + 6*f + 12 = f, h*f + 21 = -3*i. Let a(v) = -v**3 - 2*v**2 + 5*v + 2. Give a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.89 and 44.\nAnswer: 83.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1 - f + 1. Let q(d) be the second derivative of 3*d**3\/2 - 31*d. Determine q(h(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 343418 <= 343418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*d*o**3*y + 42371*d*o**3 - 5*d*o**2*y + 1058*d*o*y - 2*d*y + d - 3*o**2 + 5*o*y wrt o.\nAnswer: -180*d*y + 254226*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3151 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a. Calculate the least common multiple of 14 and a - 1\/(2\/(-32)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-47229)\/10*140\/(-45). Let t = 14688 - n. Find the common denominator of -53\/12 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 1\/60*m**6 + 1\/3*m**3 - 1\/30*m**5 + 0*m + 0 - 8*m**2 + 1\/24*m**4. Does 6 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 5, 2, -14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + 4 - 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t)\/(t\/t**(2\/25))*(((t**(3\/7)*t*t)\/t*t)\/t)**37 assuming t is positive.\nAnswer: t**(83726\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -741 (c) -4 (d) 0.2 (e) 699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -18. Let m(l) = -5*l**3 + 12*l**2 + 7*l + 7. Let w be m(3). Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251\/2 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/120 + i**4\/3 - 16*i**3\/3 - 12*i**2. Let h(l) be the first derivative of r(l). Calculate h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 22*r + 7. Does 13 divide h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - (-836)\/(-190)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -288 - 1\/3*z**3 + 0*z**2 + 0*z. Let u(b) = 6. Calculate l(x) + u(x).\nAnswer: -x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/2 + 2*y**3\/3 + 4*y**2 - 8*y + 52. Let t(f) = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (609*b**2 + 641*b**2 - 1835*b**2)*(-3*b + 0*b + 5*b)*(-5*b + 0*b + b).\nAnswer: 4680*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1710298 * -1.7\nAnswer: 0.29075066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*w**4 - 2*w**2 + 12*w + 1394.\nAnswer: 40*w**3 - 4*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**3*w**2 + 447*a**3*w + 3*a**2*w**3 - a*w**3 wrt w?\nAnswer: 28*a**3 + 18*a**2*w - 6*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 18*t**2 + 120*t + 178. Determine b(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - 17?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7125)\/(-5700))\/((105\/(-468))\/(-7)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -89\/181 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4 - 2*u**3 - 12*u**2 + 8*u + 32 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 12. Suppose t = 2*y + 4. Solve y*l - 20 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -1. Let r = x - 0.5. What is the second biggest value in -0.1, -5, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1))\/(-1 + 2). Let w(i) = i - 4. Let k be w(g). Let y be 2\/k*2 - 2. Sort -5, y, 4.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcffffcffc. What is prob of picking 1 f and 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/((-48864)\/11198).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*h + 1 + 2, -23 = 5*h + 2*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**39*((q\/(q\/(q*(q*q\/(q\/(q\/(q*q**(2\/47)))))\/q))*q)\/q)\/q*q*q*q assuming q is positive.\nAnswer: q**(1972\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 6 (c) -0.2 (d) 3\/8 (e) 5 (f) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Let a(j) = 0*j**3 - j**3 - 1437*j**2 + 1444*j**2 - 4 - 7*j. Determine a(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7146 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Let z(l) = l - 6. Let j be z(v). Let a be (1 + -1)\/(-4 - (5 - 10)). Sort a, j, -4 in descending order.\nAnswer: a, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20399? (a) -6 (b) 209 (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 a, and 1 o when four letters picked without replacement from {b: 3, o: 2, l: 1, k: 3, y: 1, a: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4000, -7933, -11872, -15799, -19696, -23545?\n\"Answer: 3*w**3 - 21*w**2 - 3891*w - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45920 + -a?\nAnswer: 45913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*2)\/sqrt(4) + 1*sqrt(28)*-6)\/(-2*sqrt(64)*-1).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*v - 202 = 180*v. Solve v*x + r - 14 = 6*x, 3*r = -6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-18 - (-13 - 15)) - (-5 + 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.72 - -0.42. Let j = 0.29 + v. Put -3, 1, j, -0.2 in decreasing order.\nAnswer: 1, j, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26644 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - -10) + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4694.\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Let t = 2.05 - 16.75. Let h = t + 14.6. What is the nearest to h in a, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26166 (base 7) to base 6.\nAnswer: -52113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -3*v + 28, 3*r + 7 = -v. Solve -5*n = 2*x - 13, -v*x = 4*n - 3 - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 38*z**2 - 1098*z - 852. Calculate h(-57).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197171 is divided by 98582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -948684 divided by -1.\nAnswer: 948684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 338*y - 7967. Let d be h(21). Solve d*c + 168 = 64 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/111 (b) 7\/6 (c) -1\/5 (d) 2 (e) 0.3 (f) -25056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 3*g + 4. Suppose -16*n = 14*n - 120. Calculate b(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 4 (c) 107.9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2. Let k be 48\/21 - 4\/14. Let z(m) = -5 + 2*m**k + 6 - 1. Determine z(l(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {c: 1, j: 1, a: 1, t: 1, s: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/2*o**2 - 1\/4*o**4 + 6*o + 10 + 1\/3*o**3. Let j(t) = t - 1. Let m(p) = a(p) + 2*j(p). What is m(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f**2 - 3*f**2 + 9*f - 20*f**2 - 45 wrt f.\nAnswer: 2*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094012836 rounded to 5 decimal places?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*d**2\/7 + 36997312*d\/7 - 2828101436416\/7.\nAnswer: -(11*d - 1681696)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f**2 - 3*f. Let d(r) = -12*r**2 - 4*r. Let w(l) = 3*d(l) - 4*x(l). Let h(c) be the first derivative of 5*c**2 - 223. What is h(w(j))?\nAnswer: 80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.88 - 25.94. Let h = 1 - 0. Which is the nearest to y? (a) -0.3 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/21)*f*(f*f**(-1\/7))\/f*f*(f\/(f**(1\/2)\/f*f))**(-27)*(f**(3\/5)*f**(-3\/5))\/(f\/f**(1\/4))**(-5\/7) assuming f is positive.\nAnswer: f**(-941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -102, -103, -104, -105, -106?\n\"Answer: -q - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004983079 rounded to 7 dps?\nAnswer: 0.0004983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694 - 694 - 1746*y + 868*y + 876*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 130 = 3*g. Suppose 5*m = g + 33. Suppose -4*i - 6 + m = 0. Solve -i*u - 5 = f, 4*u + 5*f + 3 - 20 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*1*-4 - (sqrt(1584) - (sqrt(1584) + -3))*1)**2 + -4.\nAnswer: 288*sqrt(11) + 25349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*a**3 - 86*a**3 - 97*a**3 + 36*a**2 - 36*a**2 + 11*a**3 - 92*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204200 equal to 1204194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66773330?\nAnswer: 2, 5, 13, 513641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*w - 1757. Let y(f) = -w*f - 4*f**2 + 251*f. Let h(t) = -t**2. Calculate h(y(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27523000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 172507*z + 345007. Determine w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 18435014*s\/5 - 7374004\/5.\nAnswer: -2*(s - 1843501)*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 20*r + 14 + 17 + 20.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 12*a + 63. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3244*u**3 - 13*u**2 - 7*u. Let x(y) = -1081*y**3 - 4*y**2 - 2*y. Calculate 2*h(l) - 7*x(l).\nAnswer: 1079*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**3 - 5*z**2 + 1. Let g(k) = 9*k**3 - 26*k**2 + 174*k - 145. Let x(b) = -2*g(b) - 2*y(b). Factor x(v).\nAnswer: -2*(v - 24)*(v - 6)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*79 - (-3 + 2). Let k be 2 + i\/(-45) + (-68)\/(-18). Suppose -1 = k*n - 9. Solve -3*t + 5*t = -8, -n*t = 2*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263396, 263678, 263960, 264242, 264524, 264806?\nAnswer: 265088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*f**2 - 43*f**2 - 52*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.792879 - -0.7973. Round i to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 884, 47, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(0 + 7\/574). Let v = 128 + t. Let w(c) = 6*c**3 - 25*c**2 + c + 1. What is the units digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -244 + 244.05. What is the fourth smallest value in 1, p, -2, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1244 rounded to 2 decimal places?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - -2.52. Which is the nearest to 2\/5? (a) 0.4 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/(c\/c**7))\/c*c))*c\/((c*c**(-14))\/c)*c)\/((c**(7\/4)*c)\/c*c*c**(-2\/29)*c) assuming c is positive.\nAnswer: c**(2241\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.1. Let b = -0.02 + -0.12. Let x = b + 0.04. Sort -3, a, x in ascending order.\nAnswer: -3, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (2 - 1) + -2. Calculate the least common multiple of 4 and y - (-3 + 1) - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 14, 18, 18, 14, 6, -6?\n\"Answer: -2*t**2 + 14*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = 4*n + 4*d, 0 = -5*n + 3*d + 255 + 1487. Let c = n + -17800\/51. Let q = c - 28\/17. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 100, 209, 362?\n\"Answer: 22*d**2 - d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 63*p - 414.\nAnswer: (p - 6)*(p + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 301255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i + 16*i + 13*i + 20*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8959238, 8959240, 8959242, 8959244, 8959246?\n\"Answer: 2*c + 8959236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 68, -2 in increasing order.\nAnswer: -2, -1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 1771, -5 in descending order.\nAnswer: 1771, 54, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(153) + 0 + 5)**2 + (sqrt(153) - (4 + 0 + sqrt(153))) + sqrt(153).\nAnswer: 33*sqrt(17) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqkqqqqqqqkqqqq. Give prob of picking 2 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 11*w**2 - 9*w - 3. Suppose 5*j = -4*u - 1 + 31, 4 = u + 3*j. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1. Let v = -0.1 + z. Let u = -115\/329 + 3\/47. Which is the closest to u? (a) 4 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r - 36 = -75*r + 41. Let z(h) = -8*h + 10. Determine z(r).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 843422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88156 and -0.05308.\nAnswer: -4679.32048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 8*k - 6. Let p be b(-6). Let y = 0 + 43. Let l = y + p. Which is smaller: l or 26?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 4*h**2 - 3*h**2 - 8*h**2 - 4*h**2 as w*h + m*h**2 + j and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 487 + -493. Calculate the least common multiple of 12\/(-2) + (a - 14)\/(-2) and 1808.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:02 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*z = -665*z - 38640 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 23896*g**3 - 3*g**2 + 2*g. Let b be p(2). Suppose 2*w - b = -w. Suppose l = 10280 + w. Round l to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*v - 45 + 356 + 67 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3196, 15632, 49416, 115222, 223724, 385596, 611512, 912146?\n\"Answer: 1779*h**3 - 17*h + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*15\/40*16\/6. Find the first derivative of -4 - 9*n**4 + 5*n**f - 15*n**4 wrt n.\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 17*q**2 - 57*q + 10. Give h(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(165\/(-20)) + (-8)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4656, -4660, -4666, -4674?\nAnswer: -4684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 37. Is g > 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/2 + 81*g**2 + 55609*g\/2 - 27885 = 0.\nAnswer: -169, 1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33779161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.017 (b) -3 (c) 3 (d) -0.3 (e) 1\/3 (f) 2\/25 (g) -503\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 0 + 0 - m - 3 + 3 + (0 - m + 0)*(1 - 3 + 3) + 2*m - m - 3*m + (-1 + 1 + 1)*(13 - 74*m + 37*m + 36*m).\nAnswer: -7*m + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 19. Let p(f) = 237*f. Calculate p(t(a)).\nAnswer: -237*a**2 - 4503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1\/4*n**2 - 10 - 9\/2*n = 0?\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 27875?\nAnswer: 27870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -11.02. Let d = 31.93 - -0.07. Let j = d - 32. What is the nearest to t in j, 3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2. Let d(t) be the third derivative of -5*t**4\/24 + 14*t**2. Calculate d(g(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 559828577 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 752 and 5828.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_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: Are -22 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.489327l?\nAnswer: 1489.327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/109))**49 assuming y is positive.\nAnswer: y**(98\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13348\/11997 + -2\/1333. Let a(c) be the first derivative of 2\/3*c**2 + 2\/15*c**5 + m*c**3 + 0*c + 2 + 2\/3*c**4. Factor a(i).\nAnswer: 2*i*(i + 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-2\/5))))**43\/(w**(-2\/7)*w*w*w**5)*(w**2*w**2)\/(w**(-1)*w)**42 assuming w is positive.\nAnswer: w**(808\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/4))\/v**(-2))\/((v*(v\/v**1)\/v*v*v)\/v**(1\/3)))\/(v**(-7)\/(v*(v**(-1\/3)\/v)\/v))**(1\/29) assuming v is positive.\nAnswer: v**(445\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 9. Let o be x(1). Let y = 2\/6841 + 13544\/472029. Is y >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152757 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280937 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*h - 23 = -2*x, -5 = x - 2*h. Let i = 7 - x. Solve 0 = 4*f + i*g, -4*f - 2*g = -0*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097958296 to 6 dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 860.8997ml?\nAnswer: 0.8608997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -7*a**4 - 7*a**2 - 6. Find the second derivative of k(f) wrt f.\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 less than or equal to -370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 179*b**9\/252 - b**8\/56 - 148*b**5 - 6*b**2 - 7*b - 4. What is the third derivative of k(p) wrt p?\nAnswer: 42960*p**3 - 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 10, 1\/2, 463, 0.2, 36?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-351) - (-8)\/(-13)*(-5)\/(-20).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -513 (base 9) to base 12\nAnswer: -2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9969236.\nAnswer: 2, 1163, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 234795 divided by 11?\nAnswer: 21345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5, z = 4061*p - 4066*p - 75 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {d: 1, o: 7, t: 1, x: 8}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbj when four letters picked without replacement from bbjbbjbjjbbjbb.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 191599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 290840587, 290840588, 290840589, 290840590, 290840591?\n\"Answer: t + 290840586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 30. Let i(n) = 5 + 7*n - 3 + 2 - 3. What is the remainder when c is divided by i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g + g + 92*g.\nAnswer: 152*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 0*m + 0 - 1\/3*m**4 + 1\/15*m**5 + 2\/3*m**3 - 24*m**2. What is n in a(n) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -0. Suppose -2 - o = -3*t. Let a be 2*24 - (t + -1). Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*s)*(4*s + 3 - 3) + (-15 + 43 + 31)*(4 - 4 - 2*s**2) to g*s**2 + a*s + u and give g.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 5*o**2 + 497 - 499. Let a = -15 + 35. Suppose 4*p + p + a = 0. Determine z(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 + -177. Let x = 192 + w. Let u be 94\/18 + 20\/x. Solve 5*o - 2 = 2*y - 11, -4*y - 3*o = -u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 510353 * -4.\nAnswer: -2041412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 - 1. Let j be i(8). Let c = 5268 - 5246. Sort 4, 5, j, c in increasing order.\nAnswer: j, 4, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 6*m - 8. Let o(z) = -z**3 + z. Let v(b) = 2*b**3 - 10*b + 9. Let s(g) = -3*o(g) - v(g). What is 5*s(k) - 6*w(k)?\nAnswer: -k**3 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 310, 984, 2292, 4444?\nAnswer: 7650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*s + 5*b, -33 = -3*s + 3*b - 7*b for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/9)*u)\/((u\/(u*u\/((u\/u**(-1\/4))\/u)*u*u))\/u*u)*u**(-2\/13)*u**(-16)\/u)**47 assuming u is positive.\nAnswer: u**(-267947\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 6 = 5*n - 3*z, -2*n + 2*z + 16 = 0. Suppose -n*w = -3*c + 6, -3*w = 4*c - 2*w - 28. What is the units digit of 3\/c*10\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 17*h - 90 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4799699?\nAnswer: 31, 107, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1368646 divided by -4.\nAnswer: -684323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17*h**2 - 236*h - 514. Let t(y) = -5*y**2. Give r(t(v)).\nAnswer: 425*v**4 + 1180*v**2 - 514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 14*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153648 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 269089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -219*v + 833*v + 413*v as k*v + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h**2 - 2*h**4 - 15*h**2 - 15*h**2 - 3 in the form v*h**3 + w*h + z*h**2 + q + j*h**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 8:43 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4 - 18848*x**3 + 63764*x**2 wrt x.\nAnswer: 24*x - 113088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.87 + -8.87. What is the nearest to i in -3.3, -0.07, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31128, -31124, -31120?\n\"Answer: 4*d - 31132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24898295\/2163 + 11511. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593072 divided by 2936\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 503240?\nAnswer: -50328a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -81469858498473\nAnswer: -81469858498472.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let m be -2 - ((-4 - 2) + p). Suppose 5*z + 6 = -9, 0 = -m*b - 2*z + 9. Solve -b*d = r - 3, 5*r + 3*d - 15 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9970544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 12:47 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 579517033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 9*l**3 - 6*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, i: 7}. What is prob of sequence da?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-38))\/(10695\/(-948290)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from uiuiznruddd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12189?\nAnswer: 3, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 726672182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189172 is divided by 665.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 350 - 311. Suppose 5*v - 95 = -5*t, -5*v = t - y - 76. Let d = 3 + 0. What is the lowest common multiple of d and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33056264 (base 7) to base 13.\nAnswer: 784880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = x - 312. What is the third derivative of -x*z + 192*z - 22*z**2 + 63*z**3 + 185*z wrt z?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16774600.\nAnswer: 2, 5, 83873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {n: 9, m: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -359 + 363. Suppose 2*l + k = 70, -6 = d*k - 7*k. What is the remainder when 44 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13*j + 77. Determine a(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.5. Let o = 6.4 + -0.4. Let a = o - 5.4. What is the smallest value in a, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374300.\nAnswer: 2, 5, 23743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/10)\/d)\/d**10*(d**10*d*d*d)\/d**1 assuming d is positive.\nAnswer: d**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 3 = 8*b, -2*b = i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/((-2)\/8). Suppose q - 20 = -d*q. Suppose -2*o = -2*w + 4 - 2, -4*o = -q*w + 7. Solve 3*b = -w*j - 3, -2*j - 6*b = -b + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-153 + -9)\/(5595\/(-1863) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - (6 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -104 + 122. Solve -l + c + 1 = -3*c, x*l - c = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*z - 62, 5*v - 40 - 36 = 3*z. Suppose 8*d - 4*d - 6 = l, -d + 4 = l. Find the first derivative of -d*h**3 + 6 - v*h**3 - h**3 + 10 wrt h.\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -30*d + 2. Let x(k) = 15*k - 1. What is -11*x(v) - 6*y(v)?\nAnswer: 15*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/(-6)*-12. Let r be ((-29)\/5 + 1)\/(a\/(-160)). Suppose q = -q + r. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m - 194*m + 8820 = -114*m - 112*m for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -58. Let y = u - -34. Suppose -47 = -y*n + 307. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = r + 89. What is the highest common factor of 114 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.2 + 1.2. Let m = -3 - i. Let t = m - 0.8. What is the nearest to 1 in t, -5, 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 = -26*k + 27*k + 2*z, 2*k - 2*z - 980 = 0. Let l = 947 - k. Is l a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u - 2*u)*(-2*u + 2*u + 2*u)*(32*u + 35*u + 22 - 68*u).\nAnswer: 8*u**3 - 176*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dovvzddgzddvpodgp. What is prob of sequence dpg?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 6*s**2 + 5*s - 1. Let y be h(-5). Let j = 136 + y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44200 is divided by 14732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338 - 317.9. Let m = -20 + r. Let v = 45.9 - 50.9. Which is the biggest value? (a) -1\/3 (b) m (c) -2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - ((-125)\/40 - 4) and (-4)\/(-14) + 309\/(-77).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-102)\/(-30) + (-6)\/15. Let s = 0.1 + -0.3. Let o = -1 + 0. Which is the closest to o? (a) s (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q + 9. Give p(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*n + n + 2*u, 5*n - 5 = 3*u. Let s(b) = -110*b - 3. Is s(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 11\/2*k**2 + 0 + 2\/3*k**3 + 10*k. Differentiate w(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5328*-6)\/(((-48)\/(-8))\/48)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2418 = 33*f - 1542. Let b = -125 + f. What is the third biggest value in 3\/5, -1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 7. Suppose -5*l + 12 - 43 = -h, w*h = -3*l + 15. Let t(u) = 7 + 8*u - 2 + 4 - 9*u - 4. Let r(p) = 3*p - 14. What is h*r(n) + 17*t(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let x = 3757 - 3757.5. Put -2\/7, j, 5, x in increasing order.\nAnswer: x, -2\/7, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:34 PM?\nAnswer: 122","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - 8*o - 3. Calculate the remainder when b(7) is divided by 1 - 2*(-9)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(34)\/sqrt(2) - -1*(sqrt(17) + sqrt(17)*-2)**2)*6 + 3.\nAnswer: 6*sqrt(17) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -829, 0, -3, 3, -4 in ascending order.\nAnswer: -829, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/17 (b) 519\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116499.\nAnswer: 3, 1038833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:30 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -53.2. Let b = 52.3 + -57. Let t = 2.9 + b. Which is greater: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, -85, -2\/31, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10519 and 275849?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 577, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 300. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 23*r**2 - 15*r - 61. Give h(-22).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859867 < 6859868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/5 + 11*m**4\/12 - 29*m**2\/2 + 2*m - 51. Find the first derivative of p(s) wrt s.\nAnswer: 12*s**2 + 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + v**2 + 0*v**2 - 2*v**2 + 3*v**2 + 2*v**2 + (-1 + 2 + 1)*(v**2 + 2*v**2 - 2*v**2).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -4\/5, -490, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*c - 12 - 4 = -2, 19 = 5*k - 3*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -106*y - 17. Suppose 3*m = 16*m + 338. Let a = 22 + m. Is i(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 44 + 4*i**2 - 28 + 20 - 3*i**2. List the prime factors of g(-16).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzmmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 702 + -318. Let a = z - 54. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13\/4 (b) -5 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 + k**2 - 4*k - 3. Let b(y) = -4*y**3 + y**2 - 4*y - 2. Let p(u) = -6*b(u) + 5*q(u). Let j be (-4)\/(-6) - (-4)\/3. Calculate p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-12))\/((-10413)\/(-1044) - 10) and 32\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 36. Let f be (114\/(-10) - -3)\/(u\/(-45)). Calculate the greatest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19987350 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: What is the closest to -1\/4 in 1\/75, -18.9, 20, 5?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*g - 664 = -0*l, -2*l - 3*g - 271 = 0. Let a = l + 243. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 9*y**2 - 5*y - 2. Let c = -22 - -30. Let a be i(c). Solve -2*u + 0*u - 4*w = a, -4*u - 17 = -w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 0.7, -208, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 544\/13 - 42. Let r = -484 - -474. Sort j, 1, r.\nAnswer: r, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1635, -1633, -1631, -1629, -1627?\n\"Answer: 2*c - 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 31.65, 1.7, -2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 4*o**3 + o**3)*(1723*o + 557 - 7318*o - 560 - 2183*o) - 2*o**4 - 5*o + 5*o.\nAnswer: -15558*o**4 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 1, o: 5, m: 2, u: 1, t: 4}. Give prob of sequence umo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(j - 4*j + j)*(j + 0*j - 2*j + (5 - 1 - 2)*(4 - 3*j - 4)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-9)\/(-3))*(-12)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1. Let w be (-30)\/20*(-32)\/(-6). Let u(p) = -2*p + 6. Suppose 0 = 2*f + 11*f - 26. Suppose 0 = 12*k - f - 10. Determine k*u(r) + w*b(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6) + (-18)\/(-4). Suppose -4*z + 2 = -4*g - 10, -4*z + 21 = a*g. Suppose -3*p = -g - 11. Solve 0 = p*q - 1 - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -67931, -67949, -67993, -68075, -68207, -68401, -68669?\n\"Answer: -2*h**3 - h**2 - h - 67927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - k = -25, -4*k + 1 = -3*k. Let o(a) = a**3 + 7*a**2 - 6*a + 10. Calculate o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + g**2 + 7*g**2 + (-g + g - 2*g)*(-5*g + 15 - 15 + (0*g + g - 2*g)*(2 + 3 - 3) - 4*g - 2*g + 3*g) to the form r*g**2 + f*g + h and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-8 - 0) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**40)\/j)**(-48)\/(j**(1\/46)\/j**(-2\/57)) assuming j is positive.\nAnswer: j**(5034091\/2622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i)**(12\/5) assuming i is positive.\nAnswer: i**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*v - 11 = -3*r + 267*v + 3, 3*r - 7*v + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (0 + sqrt(700)))*5 + sqrt(700) + sqrt(700) + 5)**2 + 4.\nAnswer: 200*sqrt(7) + 2829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 481980 divided by -8310\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175.65 + -135.65. Which is the closest to -7? (a) -4\/3 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 7 = 6, 4*c + 36 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/((-8)\/36)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11110 (base 2) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8952 and 142536.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1181202 and 2904.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 20. Let s = -6 - o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1399*r*y**2 - 2*r*y + 424*r wrt y.\nAnswer: 2798*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -18090.\nAnswer: -18090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o - 2*q, -3*q - 3 - 6 = -2*o. Let x(h) = 4*h - 1. Let j(n) = 3*n - 1. Let w(p) = -7*j(p) + 5*x(p). Let f(s) = -1. What is o*f(c) + w(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 140 = -13*v - 11*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -75033643 and 850.\nAnswer: -75032793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145399610 to the nearest integer?\nAnswer: 12058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2907 - 5820 + 18*f**3 + 2913.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 25*v**2 + 3*v + 1. Is p(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*x**5 + 13*b**2*x**2 - 3*b**2*x + 5*b*x wrt x?\nAnswer: 40*b**2*x**3 + 26*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:19 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 5}. Give prob of sequence gkkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -157, -316, -475, -634?\n\"Answer: -159*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*d + 635 = 585, 0 = 3*d - 15. Let w = -3 + 9. Let z = w - q. Solve -3*n + 11 = -t, -2*n + 0 - z = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/26 and 89\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239762 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5564471 is divided by 64703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaaai.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5021 is divided by 143.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -524\/85 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2 - 3*v - 9. Let q be (1 - -3) + 9\/3. Let h be g(q). Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -586 - -403. Let x = p - -105. Is x bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 518497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109012?\nAnswer: 2, 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5348268 micrometers in nanometers?\nAnswer: 534.8268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15)\/g*g**14*(g**(1\/10)*g)\/(g**(-7)\/g) assuming g is positive.\nAnswer: g**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 81 (b) 5 (c) -596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2325848 by 8104.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 732339.1nm in meters?\nAnswer: 0.0007323391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29440 and 68608?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 851 - 851 - 177*u.\nAnswer: -177*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2 + (5 - 3 - 1)*(0 + 0 - 1))*(-190*j + 642*j + 264*j).\nAnswer: -2864*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3\/26 (b) -0.3 (c) 21 (d) -5 (e) -25\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 + 3 = 0. Let c be a\/(-2 + (-10)\/(-6)). Suppose 4*s + 4 = j, 4*s - 6*j + 3*j = -12. Solve s = -5*g + c*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -792142, -792146, -792126, -792070, -791966?\nAnswer: -791802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-21)\/(n**(3\/7)*n*n\/(n*n*n**(1\/3)*n)))**(-9\/4) assuming n is positive.\nAnswer: n**(-57\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 681*b - 16. List the prime factors of i(3).\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634829?\nAnswer: 13, 47, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 - 9*t - 15. Let o be h(-6). Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(8\/9)*n**3\/n)**46 assuming n is positive.\nAnswer: n**(1610\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3792005.\nAnswer: 5, 7, 108343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 12053*a + 1 + 12053*a. Let i(y) = -1. Give i(h) - u(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - -1) - (2 + 188\/(-88)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.523626mm in nanometers?\nAnswer: 7523626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9 - 12*r - 43*r**2 + 47*r**2 + 10. What is the tens digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 18*h**2 + 20*h - 33. Give g(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -866 and 22.\nAnswer: -19052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.811 from -115.\nAnswer: -115.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(99) + -5 + sqrt(99) + 0 + 3 + -1)*4)**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - -17. Let q be (m\/(-10))\/(6\/(-8)). Solve -5*c + 10 = -5*d, -4*c = -7*c - d - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7355549*k - 36777738. Give a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667167597 to the power of 1\/3, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285.7984 - -288.2. Let z = -2.4 + x. Round z to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0, -1, 0.08, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 23656387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d. Let t(i) = 639*i. What is -351*o(y) + 6*t(y)?\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 9*p**3 - 3*p**3 + (-7 + 6*p + 7)*(-p**2 - p**2 + p**2).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14120*g*u**4 + 2*g*u**2 + 4238088*g + 31*u**4 wrt u.\nAnswer: 338880*g*u + 744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -4) + 4\/2. Solve s - 3 + m = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465358, 930717, 1396066, 1861399, 2326710?\nAnswer: 2791993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - 1235?\nAnswer: -121d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.57 - -0.609. Let m = -0.039001 + p. Round m to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44319 - -0.447. Round h to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, t: 1, h: 2, o: 5, q: 6}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 275*q**2\/4 - 28947*q\/2 + 137610.\nAnswer: (q - 132)*(q - 10)*(q + 417)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(63)\/(1*sqrt(9)) + (sqrt(252)*-3 - sqrt(252)))**2.\nAnswer: 3699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1 - 2*u)*((2 - 3 + 2)*(-4 + 5 - 4) - 2 + 1 + 2) as v*u + b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t + 2110 = -149*t - 327 - 1579 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:34 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(160)*2))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2092*q**3 - 375 - 5101*q**3 + 375.\nAnswer: -7193*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19313 + -19246. Solve 19*r - g*r + 336 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -x - 14, -3*k - x + 41 - 95 + 20 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(119))\/(2*sqrt(7)*-2).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 14*j**2 - 2*j + 114. Give m(12).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 414, -23, -0.29 in increasing order.\nAnswer: -23, -4, -0.29, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*d = -32, 3*u + 9*d = 11*d + 24. What is the third derivative of -2*y**2 + 3*y**6 + 5*y**2 - 2*y**5 + u*y**5 + 9*y wrt y?\nAnswer: 360*y**3 + 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 85*s - 17. Let n be (20\/(-150))\/(4\/(-18))*-5. Let f(o) = 171*o - 33. Let m(y) = n*f(y) + 7*j(y). What is the first derivative of m(v) wrt v?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213110 (base 4) in base 10?\nAnswer: -2516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 30*j**2 + 10*j + 10. Let k(b) = -4*b**2 - b - 1. Let i be k(-1). Let u be h(i). Suppose 0 = 11*m - 5851 + u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let a be q - 3\/(-45)*-17. Sort 5, a, 2 in ascending order.\nAnswer: a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a. Let i(l) = 7*l**2 - 5*l. Let r(q) = -q**2 + q. Let o(x) = i(x) + 5*r(x). What is o(v(j))?\nAnswer: 882*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjlljl. What is prob of sequence ljj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 1, n: 4, m: 1, s: 1, o: 3}. Give prob of picking 1 n and 3 d.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204 - -265. Suppose -10 - 76 = -2*r. Let p = z - r. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 18 = -0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010001111010010111 (base 2) to base 4.\nAnswer: -11101322113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301022431 + 3?\nAnswer: -301022423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 + 346 - 47*u**3.\nAnswer: -47*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991?\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 + 3*m**4 - 5*m**3)*(0 + 0 + 5)*(3*m + 3*m - 7*m)*(5 - 2 - 4).\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 12628734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*n**2*t*u**3 - 9*n**2 - 5*n*t*u**4 + 16*n*t + 2*u wrt u.\nAnswer: 522*n**2*t*u - 60*n*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 738 - 197. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-224)*-14 - 1*-3. Let y be ((-3)\/1)\/(10\/(-12)). Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -31957, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose -6 = v*t - 6*t. Find the third derivative of 0*p**2 + 82*p**6 - 14*p**t - 97*p**6 wrt p.\nAnswer: -1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12673 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1516350 - -2?\nAnswer: -1516345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 23*l + 5. Let z be p(23). Is 31\/5 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698031, 698027, 698023?\nAnswer: 698019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/25 (b) -2\/5 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10321721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 0.04, -133\/2, 1, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 135*i**2 - 345*i - 9519. What is p(138)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 5, 0.1, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187\/210 + -1\/30. Let a = 23 - 20. What is the closest to 0.1 in a, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 3 + 0 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 4476117 - 4476117.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**7\/315 + 4*g**6\/225 + g**5\/30 + g**4\/45 + 6*g. Factor y(h).\nAnswer: 2*h**2*(h + 1)**2*(h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.862 to 2 decimal places.\nAnswer: -3.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + -b7?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 28 = -5*o + 2, 0 = 4*o + 3*f - 24. Let w be ((-31)\/155)\/((-2)\/50). Solve -w*m + 10 = 5*l, o*l - l - 2*m = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 6 + -1)*10. Suppose 2 + t = 4*p - a, p - 12 = -2*a. Solve -p*c + 13 + 7 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115, -107, -85, -43, 25, 125?\n\"Answer: f**3 + f**2 - 2*f - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 80 = -5*r, -5*r = -r + 16. Let n = 45 - x. Suppose 0*q = 2*q - 4. What is the highest common divisor of q and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 + 284*j**4 - 7330*j**3 + 49216*j**2 + 56832*j = 0.\nAnswer: -1, 0, 16, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 22. What is h in 2 + h**4 + 10*h**2 - h**2 + 5*h + 2*h + 7*h**3 - z*h**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55899636 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let m(q) = q - 1. Let b(k) = 7*k - 6. Let z = 5 + -6. Let p(w) = z*b(w) + 6*m(w). Give a(p(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -61*n**7\/105 + 169*n**4\/6 - 549*n**2. What is the second derivative of v(f) wrt f?\nAnswer: -1464*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 1. Let g(w) = -w**2 + 8*w - 4. Suppose 0 = -2*o + 2 + 12. Let p be g(o). Give a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/z**(-7\/2))\/z)\/(z*z**(-3)))\/(z**3)**(-7\/8) assuming z is positive.\nAnswer: z**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -5*v - 4*c, 0 = -3*v + 49*c - 50*c + 135. Calculate the lowest common multiple of v and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 6, 1, 612 in increasing order.\nAnswer: -2, 1, 6, 9, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1158477741 to four decimal places.\nAnswer: -0.1158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*h + 2. Suppose -4*z - 4*k = 36, k = h*z - 0*k + 23. Let x = z - -1. Which is smaller: -39\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -9. Suppose 4*g - 2*f = -0*g - s, 0 = 3*g - 4*f - 4. Let u = 0.3 + -0.7. Which is the closest to -2\/3? (a) 2 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 631778253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9863.616 hours in weeks?\nAnswer: 58.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 15964607.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-50) - (-2814)\/(-6700))*-42 - -10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -949, 0.2, -2\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2. Let l = -60383\/2 + 30192. Let q(x) be the first derivative of 0*x - l*x**2 + 17. Determine s(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-20)\/(-128))*(-2555)\/511\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(48)\/sqrt(4)))\/(-2*sqrt(300) - sqrt(300))*-2*4*-1.\nAnswer: -8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 13\/9 (b) 2\/15 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.1 - 37.8. Round l to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -173 and -4.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acqqqqcccqccaccqc. What is prob of picking 1 q and 1 a?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 5*o - 9. Suppose w - 2*w - 5*m + 42 = 0, 4*m = 5*w - 268. Suppose 5*q = 3*c + 52, 4*q + 2*c - w = 7*c. Is p(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 47549?\nAnswer: 285294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69150?\nAnswer: 2, 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**6\/6 - 5*m**4 + 10*m**3\/3 + 15*m**2\/2 - 10*m - 343. Factor o(b).\nAnswer: 5*(b - 1)**3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 12\/80865551 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (8 + (7 + -4 - -5) + -25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y + 23 = -187 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/22846 and -17\/6?\nAnswer: 68538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-10)\/u))\/u)**(-2\/33) assuming u is positive.\nAnswer: u**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 5. Calculate r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 - 1 = -91*x + 115. Let r(k) = -k - 1. Give r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-182)\/(-39))\/(6\/117) + -5. What is the highest common divisor of 301 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 8. Let x(o) = -4 - o**2 + 0 - 1 + 6*o. List the prime factors of x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -454904 times -0.4?\nAnswer: 181961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001029 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110110111 - 1?\nAnswer: -1110110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8*(-4)\/(-2). Let d be (-26)\/8*(-2 + 6). Let z(o) = -2*o**2 - 17*o + 4. Let y(q) = -q**2 - 8*q + 2. Let k(p) = d*y(p) + 6*z(p). Give k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 217664625 and 87065850?\nAnswer: 435329250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/(m**(-3)*m))**(-12\/13) assuming m is positive.\nAnswer: m**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4384 is divided by 799?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -392 - -433. Suppose 5*p = -u + 3381. Is p a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 2. Let d(y) = -y - 1. Let h(v) = 3*a(v) - 12*d(v). Give h(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*i - 1 = 0, -2*i + 7 = -4*z + i. Let t be -5*z\/4*28. Suppose a = 6*a - t. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 - 927*s + 1061220 = 0.\nAnswer: -769, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-21) - 6747\/21. Let m = 456 + j. Suppose -4*i - 5 = -o - 1, 3*i - m = -5*o. What is the greatest common factor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01706 - -5.98294. Let g = -12 + 10. Which is the closest to r? (a) 3\/7 (b) 6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2 + (1 - -6). Let b = -9994 - -9994. Sort b, m, 10 in decreasing order.\nAnswer: 10, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431 divided by -159?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110111102 (base 3) to base 10\nAnswer: -9110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, e: 1, f: 1, a: 1}. Give prob of sequence fha.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = 93*z - 4480. What is the greatest common divisor of 2768 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 428969.73999.\nAnswer: 428969.23999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (63\/9 - 4) + 2*2. Suppose -l*o + 52 - 10 = 0. Calculate the greatest common divisor of 174 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 1, -110, -4, -2, -1, -6.\nAnswer: -247, -110, -6, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (23\/16*-2)\/((-14)\/(-22)). Let k = -35\/8 - j. Which is the nearest to 0? (a) -14 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-928)\/(-3) - -1) + (-18)\/(-27). Let t = z + -125. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/4)\/(34296\/(-3808) - -9). Let t(i) = 17*i**3 - 6. Let o(j) = 340*j**3 - 119. Calculate k*t(z) - 6*o(z).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 17. Let i = 148 + -49. Suppose -50*u - 751 = i. Give a(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.03, -10, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 10*x**2 - 9*x + 5. Let g be 2 - 2 - 2\/(-1). Let h be g\/(-10) + 460\/50. What is the remainder when y(h) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -908, -10, -3, 2 in decreasing order.\nAnswer: 3, 2, 1, -3, -10, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34253*x**2 + 35215*x?\nAnswer: 68506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3 - 2)\/(2\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -11474.\nAnswer: -160636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 12*r. Let k be c(12). Suppose -5*s - 4*u + 100 = k, -4*s = -6*s + 2*u + 22. Is s\/12 - 758\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2\/327, 5, -2\/3, 1304, -1, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) -4 (c) -0.2 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - h)*(0*h - 15*h - 3*h) + (0 + 0 - 3*h**2)*(2 + 2 - 1)*(-2 - 1 + 0).\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*g - 214*g = -44*g - 100*g + 23852 for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 83792120?\nAnswer: 83792117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) -1\/6 (c) 21 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*95782090\nAnswer: -478910450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - -12 - -49 - (0 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-1242\nAnswer: 1366.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 10*t + 15. Let j = -62 + t. Let b = -17 - j. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(133) + sqrt(133)*-1 - sqrt(133))*-4)\/(1*(sqrt(7) + sqrt(7)*4))*1.\nAnswer: 2 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1815 - -4?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -4 - -1) + -403*3187. Let p = -295637 + m. Round p to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 - (2 - -50) - 33?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -11*f + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**23)**2*(s\/(s\/((s**(-1\/10)*s)\/s)))**(-2\/21) assuming s is positive.\nAnswer: s**(5041\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -360 - a2?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 3 (b) 1\/503 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, 31, -2.\nAnswer: -2, -1, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*q = 581, -5*t + t - 2*q + 574 = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w**(-5))\/((w**(-3\/4)\/w)\/w*((w*w**(-2\/7))\/w)\/w*w)*((w\/(w*w**(-2\/19)\/w))\/w**(2\/7))\/((w**(-2\/13)\/w)\/(w\/w**(-6))) assuming w is positive.\nAnswer: w**(22733\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000575769 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 243 + -11. Suppose -2*o + n = -94. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111132200 (base 4) to base 6.\nAnswer: -21042304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 46. What is the highest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -18*x. Solve x = -10*p + 5*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-78) - (-1)\/3. Suppose -22 = -y*q - q. Is q < 190\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 9*q**2 - 16*q**2 to the form a*q**2 + u*q + o and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/20 and 3\/3389824.\nAnswer: 16949120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + (0 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u + 1. Let l(f) = 13*f - 1. Let d = -28 - -35. Calculate d*c(p) + 5*l(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -107020 divided by -5351\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9967*v**4 + 11*v**3 + 2*v**2 - 103697?\nAnswer: 39868*v**3 + 33*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.689 rounded to 1 decimal place?\nAnswer: 85.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7815355.\nAnswer: 5, 29, 53899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-23\/2)*k\/k**(1\/2)*(k*k\/(k*k*k*k*k**3)*k)\/k**24 assuming k is positive.\nAnswer: k**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -708506\nAnswer: 4251036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.2, -466\/5, -6\/139?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/99 - 832618\/(-360). Let j = l - 2314. Find the common denominator of 67\/56 and j.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*d**2 + 4\/3 - 1\/3*d**3 + 4\/3*d = 0. What is d?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + -41. Let d = 136 - x. Let t = 6 + 4. What is the remainder when d is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmd when three letters picked without replacement from {w: 3, m: 1, t: 3, x: 1, c: 5, d: 5}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-13384)\/19120)\/((-2)\/140)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -114. Let k be p\/((5 - 4)\/(-4)*-4). Solve 2*s - 3 + 5 = m, s + 1 = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5 (c) -397 (d) -70.53 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -312?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + w - 102 = 5*w, -45 = -d + 5*w. Suppose s - d = -2*s. Let n be (3\/1 - s)*-1. Calculate the greatest common factor of 56 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r + 4 - 4 - 11*r. Let c(a) = 9*a**2. Determine c(f(y)).\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1088) + 3 + (sqrt(34)\/sqrt(98) - sqrt(17)))**2*5.\nAnswer: 1500*sqrt(17)\/7 + 214901\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from reluuleyrlyyy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 40*z + 42*z + 0*z**2 + 8*z**4 + 2*z**3 to the form u*z**3 + k*z**2 + r + i*z**4 + h*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/11, -0.8, -1\/2, -0.3, 23.\nAnswer: -0.8, -1\/2, -0.3, -2\/11, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1. Let k(j) = -4*j**2 + 6*j + 11. Let f(a) = -3*a**2 + 5*a + 10. Let p(t) = -5*f(t) + 4*k(t). What is -p(i) - 5*u(i)?\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*n + 1160 - 3131 - 2439 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1203, -3732, -7609, -12834, -19407, -27328, -36597?\nAnswer: -47214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -424*t**2 - 1. Let z(j) = -9*j + 2. Determine l(z(u)).\nAnswer: -34344*u**2 + 15264*u - 1697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92359117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.73 and -527.\nAnswer: -911.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -687922.9671 - -687888. Let n = a - -35. What is n rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-11 - -10). Let v = -2 + -1. Sort d, 1\/8, v, 2\/3 in decreasing order.\nAnswer: 2\/3, 1\/8, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1607210 and 47\/73055?\nAnswer: 1607210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*q - 19 = 29, 3*g + 5*q + 75 = 0. Let m = 24379\/21 + -1163. What is the common denominator of ((-366)\/(-305))\/((-28)\/g) and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(288) + sqrt(288) + -2 + sqrt(288) + 2 - (sqrt(2904)*-1)\/(sqrt(1200) + sqrt(1200) + -2*sqrt(1200) + sqrt(1200))) + -5.\nAnswer: -4 + 371*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25375 - 23967 = -176*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2\/o)\/o**0*(o\/o**37*o)**11 assuming o is positive.\nAnswer: o**(-383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/26*2\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*d + 67 - 120 + 413*d - 1659*d + 53.\nAnswer: -2208*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/26)\/(100\/650).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 583450 - 2?\nAnswer: 583448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 7*q - 30. Give j(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 - 2*o - 7. Let g be -4 + -4 + 0\/1. What is the remainder when (-9 - -13)*(-30)\/g is divided by c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (100\/16)\/(2\/16). Let i = -144 + 618. Suppose -w = o - 209, 2*w + g = o + i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:57 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109350854 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = 3*i + 4*n, 3*i - 4*n - 38 = 0. Suppose i*d = -16*d + 4980. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*(b**(-13)*b)\/b*b*b*b\/(b*b*b**(1\/4)))\/(b**(-10\/7)*b*b\/((b*b*b**(-2\/13))\/b)*b) assuming b is positive.\nAnswer: b**(-3631\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 7*v + 3. Let c be k(7). Suppose 4*m - c = 5. Suppose 18 + 22 = m*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 725 - 34*q**3 - 3*q**3 + q**2 + 721 - q - 1449 as c*q + d*q**3 + y + f*q**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (378\/(-28) - -14)\/((-2)\/(-52588)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c + 1. Let g(f) = 31*f**3 - 7*f**2 + 23*f - 4. Let v(b) = g(b) + 4*l(b). Find the second derivative of v(p) wrt p.\nAnswer: 186*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 1404.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -y - 4, 51*f - 47*f + 2*y = 32. Let m = -2.96 - 0.04. Let s = 0.06 + 3.94. What is the second smallest value in m, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 594*f**5*q - 27*f**3*q + 5151*f*q wrt f.\nAnswer: 11880*f**3*q - 162*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/125)\/((12\/(-20))\/1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**4 + d**2 + d. Let k(a) = -12*a**4 + 6*a**2 + 9*a. Let o(b) = -15*j(b) + k(b). Factor o(g).\nAnswer: 3*g*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38944?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72) + 4 - -5*sqrt(72)*-2) + -1 + sqrt(72) + -1 + 0)**2*-5.\nAnswer: -23085 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1152405 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -30 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 1591*r**4\/4 - 7*r**3 - 15*r**2 - 1564. Find the third derivative of s(y) wrt y.\nAnswer: 9546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1285547 and -45.9.\nAnswer: -1285592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w + 10. Let d be g(-8). Let l be (-4)\/10 - 132\/d. Sort 6, l, 3 in decreasing order.\nAnswer: 6, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 9. Find the third derivative of 0*f**5 - f**5 - f**s + 5*f**5 + f**2 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2)*t\/(((t*t*((t*t**6*t)\/t)\/t*t)\/t)\/t))\/((t**7\/t)\/(t\/t**(-1\/9)))*(t**1\/t*t)**(2\/41)\/((t\/(t\/t**(1\/4)))\/t)**(-20) assuming t is positive.\nAnswer: t**(-9904\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.07 (b) 3\/7 (c) 2\/25 (d) 1008757\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 36\/15)*-35. Let k = p - 0. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 3*b**2 - b + 1. Let r be c(-3). Let f be ((-5 + -1)*12\/18)\/(-2). Solve r = -2*l - 2*q + f, 2*q = 3*l - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3543737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58487 (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, o: 2, t: 4}. Give prob of picking 1 o and 1 u.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 28 = 2*m, 0 = 3*m - j - j - 4. Let t(p) = p**2 + 2*p - 2. Let k be t(m). What is the greatest common divisor of k and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 3*g**2 - 2744*g + 8223. Give z(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25663, -51299, -76935, -102571, -128207?\nAnswer: -153843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13210 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50933590 to the power of 1\/2, to the nearest integer?\nAnswer: 7137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 21 + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.9 (b) 2 (c) -2\/9 (d) 0.2 (e) 3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4193 - -0.412. Round k to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 divided by -94.\nAnswer: -160\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 51 - 179 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x**3 - x)*(-3 + 2 + 2)*(-13*x + 25 - 25) + 0*x + 0*x - 2*x**4.\nAnswer: -15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/20*(-30)\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -n - 8. Let y(a) = a**3 + 3*a**2 - 2. Let d be y(-2). Solve -x = d*x - n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 15 = -5*i, -2*l = i - 7. Suppose l*k - h - 20 = -k, 3*h + 20 = 5*k. Let a be 1 + 1 + 0 + 0. Solve -x = a*b + 5, x + 12 = -k*b - 3*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.268 - -127.268. Let m = 108349.894 - 108477. Let d = b + m. Round d to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-4)\/12*-6*(-9)\/(-918).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 906119, 1812239, 2718359, 3624479?\n\"Answer: 906120*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 262*o**3 + 329. Let i(y) = -782*y**3 - 987. Let p(z) = 3*i(z) + 8*v(z). What is the derivative of p(c) wrt c?\nAnswer: -750*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 9*w**2 + 5*w - 4. Let b(c) = 3*c**3 - 8*c**2 - 4*c + 3. Let q = 11 - 4. Let n(z) = q*b(z) + 6*x(z). Is n(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/8, 59, -5, -2\/15, 2\/5, 4 in decreasing order.\nAnswer: 59, 4, 2, 2\/5, 3\/8, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63842 and 166592.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 11398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let h(z) = 14. Let r(y) = -28. Let q(m) = -5*h(m) - 3*r(m). Let g(n) = n + 1. Let l(v) = -14*g(v) + q(v). What is l(u(b))?\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/50)\/((-6)\/4))\/(4\/(-8))*-175.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -86, -171, -296, -473, -714, -1031, -1436?\nAnswer: -1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322*d*o*r**2 - 4*d*o*r - 20*o*r wrt r?\nAnswer: -644*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, f: 1, c: 4, d: 3, r: 2, q: 5}. Give prob of sequence rd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 262*t**2. Let b = -915 + 959. Calculate the remainder when p(1) is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 20, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -92 - (2\/(-7))\/(2\/(-14)). Let s = -19 - b. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 + -222. Let n = -21.4 + 17. Let s = -4 - n. Which is the second smallest value? (a) s (b) 2\/17 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*o + 178*o - 510562. Do 10489\/3 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j + (-2 + 4 + 0)*(12*j + 6*j - 4*j))*(24*j**4 - 12*j**2 + 12*j**2 + (-j**3 - j**3 + j**3)*(-j + 2*j + 0*j) - 2*j**4 - 4*j**4 + 4*j**4).\nAnswer: 630*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12. Let i = -16\/35 + 2\/35. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-12)\/(-4))\/1. Suppose 0*v + 2*v - 62 = o. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**5 - 6705070*s**4 + 20115285*s**3 + 40230370*s**2 - 187742260*s + 160922040 = 0?\nAnswer: -1341017, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 13, 2\/91, -95?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -491 by 491.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12593438, -12593439, -12593440?\n\"Answer: -u - 12593437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22995 is divided by 1633.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((7 - 6) + -4 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 141 and -0.03.\nAnswer: -4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*-2)\/4 - -9. Factor 0*z + 8*z**2 + 8*z - 10*z**2 - f.\nAnswer: -2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s + 7. Let m(f) be the second derivative of f**4\/8 + 9*f**2\/2 + 2*f - 57. Let q(y) be the first derivative of m(y). Calculate q(c(w)).\nAnswer: 12*w + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 9*d - 17. Let p(o) = -o**2 + 3*o - 6. Let k(z) = -4*f(z) + 11*p(z). Let m = 295 - 292. Let u be k(m). Solve w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12)*20\/(-15). What is the nearest to n in 0.6, 2, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88663 - 88658. Let x(k) = -k + 5. Let n be x(6). What is the smallest value in n, -66, j?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.024 and -50.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(75) - sqrt(75)*-2) - (5 + sqrt(128)\/sqrt(4)).\nAnswer: -59*sqrt(2)\/15 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64700 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59707?\nAnswer: 59707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k*k**1)**(1\/4)*((k\/k**(-1))**(2\/45))**(-3\/8) assuming k is positive.\nAnswer: k**(-11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55611, -111191, -166771, -222351?\n\"Answer: -55580*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7*a - 12*a - 3 + 120*a**2 + 4*a + 141*a**2 as g*a**2 + k + y*a and give g.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42877740 divided by 127.\nAnswer: -337620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742*f**3 - 34 + 34.\nAnswer: 742*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 320.898 + -1.698. Let r = d + -290. What is r rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let o(c) = -21*c**2 + 13*c - 39. Let l(m) = 13*m**2 - 8*m + 26. Let d(t) = -8*l(t) - 5*o(t). Calculate d(p) + 3*j(p).\nAnswer: p**2 + 2*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27769567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 * -161.48\nAnswer: -43.5996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - 2*i**4 + i + 2*i**3 + 2*i**2 - 5 - 3*i**3 + 4 as z*i + w + o*i**3 + g*i**4 + t*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -749, -750?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-1)\/(-3)). Suppose -3*b - a = -9, 0*b = -5*b - 4*a + 22. Suppose t + 16 = -3*t. Sort b, t, l in decreasing order.\nAnswer: b, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 5)*(-4)\/(-6). Let w = -5 + j. Let q(x) = -3*x**3 + 2*x**2 + 2*x + 2. Let s(v) = 4*v**3 - 3*v**2 - 2*v - 3. What is w*q(l) - 2*s(l)?\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2570 + 2570. Let z(l) = 0*l + 6 + l - 2. What is z(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 367.8477 hours?\nAnswer: 1324251720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 8*t + 45. Does 20 divide 1\/(t\/20)*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 6*u + 3)*(-4*u**2 + 2*u**2 - 2*u**2).\nAnswer: 24*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d + 156. Suppose 0 = -4*y + 3*u + d, y - 2*u + u = 14. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1*5 + sqrt(200) + 1 + 1 - (0 + sqrt(200) + -1 - (sqrt(200) + (-4 + sqrt(200)*-2 - sqrt(200)))))**2.\nAnswer: 140*sqrt(2) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137453*x**2 - 62785*x.\nAnswer: 274906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-27) + 2\/(-9). Let k(r) = -1 + 4*r + 2 - 3*r. Let l(z) = z + 1. Let m(b) = b**2 - 6*b - 6. Let d(x) = 3*l(x) + m(x). Determine g*d(p) - 4*k(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*x = -373*x + 840 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -3\/2*k**4 + 0 + 0*k - 1\/40*k**6 + 4*k**3 + 8*k**2 + 3\/10*k**5. Solve l(o) = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*x - 741, 1204 = 12*k - 7*k + 2*x. Let h = k - 240. Solve f + 2 = v - 3*f, -h*v + f = 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221245 (base 6) to base 16\nAnswer: 481d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 177952, 177988, 178024, 178060?\n\"Answer: 36*w + 177916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3328, -26914, -91034, -215956, -421948, -729278?\nAnswer: -1158214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31124 + -101?\nAnswer: 31023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786689015 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**2 - 18*z - 16281.\nAnswer: -2*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/384*(0 - 75)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(59\/826)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -3.01. Let k = w + 3.2. Let a(x) = -x**3 + 4*x**2 + 5*x + 5. Let f be a(5). What is the closest to k in 0.4, f, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/3 (b) -5 (c) -328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 5*t - 6. Let g(x) be the third derivative of x**5\/20 + x**4\/6 - 5*x**3\/6 + 41*x**2. What is 6*g(n) - 5*s(n)?\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxxymsssyymyysyxo. Give prob of sequence oyx.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 16. Let x be i(14). Suppose 4*m - x*h - 169 = -m, 5*m - h - 167 = 0. Put -2, m, 3 in increasing order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(76) + (-1*sqrt(76) - sqrt(76))*-4 - sqrt(76)*2*3))\/((sqrt(44) - sqrt(132)\/sqrt(48))\/(sqrt(275) + (sqrt(275)*-2 - sqrt(275)))).\nAnswer: 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/45 - 8*a**5\/15 + 37*a**4\/9 - 104*a**3\/9 + 15*a**2 - 3*a + 15. Solve h(r) = 0.\nAnswer: 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {h: 5, s: 1, e: 1, b: 1, g: 4, l: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/(-14) - (-2 - (-80)\/35). Suppose -4*a + c = 3*o - 6, 5*o = 4*a - 12. Solve d = -2*l, -a*d - 3 - 5 = -2*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 equal to 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/2 (b) 0 (c) -586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:36 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13383?\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b713802 + -6?\nAnswer: 3b7137c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.645 - 2.645. Let d be (-2)\/(-8) - (-17)\/(-4). Let b(a) = -a**3 - 3*a**2 + 3*a - 1. Let q be b(d). What is the nearest to l in 0.2, -2\/3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -773810, -773782, -773728, -773642, -773518, -773350, -773132, -772858?\n\"Answer: j**3 + 7*j**2 - 773818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3290*d**2 - 572*d + 470*d - 3262*d**2 in the form l*d**2 + w + n*d and give n.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + 11 + -4 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 95 = 72. Let k(w) = -3*w + 75. Let j be k(g). What is the third derivative of 4*o**2 - 4*o**3 - j*o**3 + 8*o**3 - 7*o**3 wrt o?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 13 = n, 0*z - 16 = 4*z. Solve -6*k + n*k - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/12 + 13*g**3\/6 + 29*g**2\/2 + 2247*g. Calculate c(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/sqrt(10)*-1)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 3 + 5*c - 15 - 2*c.\nAnswer: 7*c - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 15\/(-9))*-21. Let o(g) = g**3 - 5*g**2 - 6*g + 3. Let v be o(6). Solve 20 = -q*b + v*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 - 4*y**2 + 6*y - 8*y to z*y**2 + d*y + k and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, -5, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-7) - 0 - (-14)\/(-7). Solve -4*o - 5*l - h = 0, 4*o + 3*l = -0*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -11, 20, 4, 6 in increasing order.\nAnswer: -11, 1, 4, 6, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 34. Let m = d - -46. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 + 2*c**2 + 2*c - 2. Let s(k) = 6*k**3 + 3*k**2 + 5*k - 5. Give 2*s(y) - 5*t(y).\nAnswer: -3*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (50\/6)\/((-430)\/516)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 69 - 73. Let k be (-1)\/q + 6\/4. Suppose 4*i = 0, 4*c + 3*i = k*i + 716. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + c**3 - c)*(3 + 5 - 2) - 4*c**3 + 4*c**3 + c**3 to k + m*c + s*c**3 + j*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 12*k - 15837. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.336 - -0.664. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14205014749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(-6*(-1 + sqrt(637)) + sqrt(637)).\nAnswer: -210*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86405, -86495, -86585, -86675?\nAnswer: -86765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -900, -815, -726, -627, -512, -375?\n\"Answer: s**3 - 4*s**2 + 90*s - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100465120 to the power of 1\/2, to the nearest integer?\nAnswer: 10023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(63)\/sqrt(9)*-3))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785014059.\nAnswer: 17, 105000827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 3 + (3 - (13 + -5)) + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 4*h - 45. Let s(t) = 95*t + 3224. Let a be s(-34). What is k(a)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**2 - 2*h + h**3 + 2 - 1\/2*h**4 + 1\/10*h**5. Let y(d) be the first derivative of z(d). Determine p so that y(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*s**4 + 89*s - 46*s**4 - 22*s**2 + 84*s**4 wrt s.\nAnswer: -36*s**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 + 8 = 0. Suppose 3*x + 6 = 21. Solve -q*y + x*r + 21 = -9, 5*r + 22 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -2242444?\nAnswer: -21\/560611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*w + 1152 = 0, -3*w = -2*l + 414 + 182. Suppose -2*p - 2*n = -1224, 0 = -p - 2*n + l + 324. Is p a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*a = 501 + 2523 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 1, -6 in ascending order.\nAnswer: -12, -6, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2383*n**2 - 3*n**3 + 3*n**3 - 2*n**3 - 2383*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(432) - (sqrt(432) + -1 + sqrt(432) + -1))**2 + 0.\nAnswer: -2180 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10983851*l**4 + 6056139*l**2 wrt l.\nAnswer: -263612424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/8 - -3)*0. Solve -3*c + 0 - 12 = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 0.059 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -22*s - 6. Let t be b(-6). Suppose 4*p = 12, -3*p = 5*a - t - 128. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -111, 0 in ascending order.\nAnswer: -111, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.97.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 211 + 49 = 0. Is 188 + ((-6)\/w - (-2)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-176)\/(-66)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 9 = -h. Let v(z) = z**3 - 9*z**2 + 4. Let l be 10*1 + (2 - 3). Calculate the remainder when h is divided by v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-11))\/(d**(-5)*d)*(d**(-1\/6))**21 assuming d is positive.\nAnswer: d**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-4 + 2)*1. Suppose a = -3*f - 3*m + 24, -3*f + 2*m = -m. What is the third biggest value in -2\/15, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230302302 + 0?\nAnswer: -230302302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(39)\/((sqrt(240)\/sqrt(8))\/sqrt(10)) + -1).\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*l = 52, -5*y + l = -l + 55. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161840051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2217 - 2245 - (-34 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -222?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-1 - 2))*(18 + (-2555)\/140). Which is the third smallest value? (a) 13 (b) f (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -3.09, -1, -0.04, 54\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 744.56069 and 0.1.\nAnswer: 74.456069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**4 + 4*s**3 - 4*s**2 + 11*s. Let z(p) = p**4 + 9*p**3 - 9*p**2 + 22*p. Let x(m) = 9*b(m) - 4*z(m). What is the second derivative of x(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -8, -5, -1.\nAnswer: -8, -5, -1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/7))**(-45)\/(j**5*j\/(j*j*j*j**(2\/5)*j*j*j*j*j)*j**(3\/4)*j**(-1)) assuming j is positive.\nAnswer: j**(5771\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 + -9.79. Let f = -7.84 + 17.54. Let u = h + f. Which is the second smallest value? (a) -5 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/5 + 1682*l**3\/5 + 444053*l**2\/5 + 1310344*l\/5 - 351216 = 0?\nAnswer: -1355, -324, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516629, -516636, -516643?\nAnswer: -516650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.001? (a) -33 (b) -152 (c) -3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1639 + -1637. Let u be 2\/(-44)*2*1. Which is the closest to u? (a) x (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -1389?\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 30. Determine m(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 15. Determine w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, m: 3, t: 1, v: 2, h: 3}. What is prob of picking 1 w and 3 m?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x + 1\/4*x**5 + 17\/16*x**4 - 3 + 4\/3*x**3 + 1\/2*x**2. Factor s(a).\nAnswer: a*(a + 1)*(a + 2)*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w + 15477449 - 22560800 = 32075710. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 52 = 22*s. Let u = s + 1. Solve -2*t = 3*t - 20, 0 = 3*x - 3*t + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 10 = 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4 + 5 - 2 - 22*k + 15*k - 12*k. Determine c(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3\/2 (b) 1 (c) 1\/2 (d) -25650 (e) -2\/17 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x + 726 + 878 = 13 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -21*r + 730. Let o be d(32). Solve 0 = 15*a + 2 + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 0 + -5 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3\/7))\/o**(-4))\/((o**(-5\/3)\/o)\/o**(-2\/5)))\/((o**1)**2\/(o**(-5)\/(o*o\/(o\/(o*o\/(o\/(o*o**(-6\/5)\/o*o)))*o)*o))) assuming o is positive.\nAnswer: o**(-206\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73657, -72093, -69485, -65839, -61161, -55457, -48733?\nAnswer: -40995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 96 = -266. Solve -4*f + 2 = -2*q, -q - f + t = 3*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45472, 45493, 45514, 45535, 45556, 45577?\n\"Answer: 21*p + 45451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q**2 + 0*q**2 + 0*q**2)*(-3 - 2*q + 3) + 31*q**3 + 7*q**3 - 16*q**3 - 2*q + 2*q + 2*q**3)*(-2 + 2 - 2*q).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab180 + -32?\nAnswer: ab14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449911717?\nAnswer: 7, 29, 89, 257, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, 1 h, and 1 o when four letters picked without replacement from jbvohkjob.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144849 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: Simplify ((w**(-7\/2))**(-4\/9))**(-22) assuming w is positive.\nAnswer: w**(-308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 60. Suppose 0 = 4*k + 92 + 52. Let s = k + t. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25565, -3, 4.\nAnswer: -3, 4, 25565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*q - 108 - 200 + 74 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186119 is divided by 46507?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*o - 252. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:34 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 + 0*q**2)*((-1 - 6 + 4)*(16*q + 4 - 4) + (0*q + 0*q - q)*(1 + 5 - 1) - 16*q + 0*q - q).\nAnswer: 70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12)\/((-4)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42)*-33)\/(4\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 + 2*o. Let g(y) = 6*y**2 - 2*y. Let v(l) = -3*g(l) - 2*u(l). Find j, given that v(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n - 191 - 124 = 9*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -149*t**6\/24 - 305*t**3\/3 + 477*t**2. Differentiate p(a) with respect to a.\nAnswer: -2235*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16614938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y - 7. What is f(8)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnnnnnnnnnnnvnn.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1390 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 269*x + 656. What is the remainder when l(68) is divided by 319?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 bigger than 580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -22*m + 153. Let v be f(7). Let w be (12\/(-20))\/(-2 - v). Let t = 0.7 - 3.7. Which is the third biggest value? (a) -0.8 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5, -2*c + 18*n - 387 = 21*n. Let y = 492 + c. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f**2. Let n(v) = 15*v**2 - 2. What is n(g(o))?\nAnswer: 1815*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - q. Let u(m) = 3*m**2 + 5*m - 32. Let g(o) = o**3 - o**2 + 4. Let a be g(0). Calculate the smallest common multiple of u(a) and b(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -488*j + 1440. Give r(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 39*g - 96. What is x(35)?\nAnswer: 1269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/30677724 and 145\/46016586?\nAnswer: 92033172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 730092 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 771917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 - 248. Is 120\/x*2054\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - 13 - -25) + 33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(16)\/sqrt(2)))\/sqrt(3) + sqrt(2) + sqrt(24)\/(sqrt(48)\/sqrt(4)) + 5*sqrt(8).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1123*c*j**3*k - 31678*c*j**3 + 837*c*k + 2*c + 47149*k - 2 wrt j?\nAnswer: 3369*c*j**2*k - 95034*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 1 - (48 + -61 - (-20 + 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/15 + n**4\/3 - 160*n**3\/3 - 646*n**2. Factor w(m).\nAnswer: 4*(m - 8)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c + 183 = -314 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0194546 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) 0.2 (c) 1 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 661274386 to the nearest 100000.\nAnswer: 661300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(36\/(-6) - 9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5) - 3)\/((-8)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*h + 341867 = 0, 4*h + 159157 = -3*u - 45968. Let x = u + 43203. Let n = x - -49168. What is n rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80232 + 125465. Suppose 3*x = -3*b - 118806, -x + 4*b + 5641 - g = 0. Round x to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17975 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/34*(-168)\/546*13\/(-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*d - 8 = 0, 4*d = -4 + 20. Let h = s + -5. Let b be (2 + 2)\/((-4)\/(-2)). Let c(r) = -r**2 - r + 1. Let i(f) = 1. Calculate b*i(j) + h*c(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -11*z + 8*z. Let g(o) be the first derivative of -4*o**2 + z*o - 5*o**2 + 11 + 8*o**2. What is g(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 + m. Let o(n) = -n - 17. Let v be o(-19). Let f be 2 + -6 + (10\/v - 0). Give z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3461 + 680*t + 3461)*(11*t**4 + 14 - 14).\nAnswer: 7480*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5 = -4*f. Suppose 2*s = -3*s, 5*v + 1605 = 4*s. Let i be v\/(-4) - f\/4. What is the highest common divisor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4316 - 539497\/125. Let t = a + 104\/875. Sort t, -1\/4, -4, -6\/7.\nAnswer: -4, -6\/7, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*a - 0*a. Suppose 2*x - 6*x + 5*m + 32 = 0, -5*x = 2*m - 7. Let z = a - x. Solve -g = -1 + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {h: 1, i: 3, d: 3, e: 5, s: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 74*p**2 + 6095*p\/2 - 8463.\nAnswer: -(p - 31)*(p - 3)*(p + 182)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -135.0000208. What is m rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d574 (base 16) in base 5?\nAnswer: 3222034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*y - 578, 4*h + 0*y = -3*y + 575. Suppose 174 - 37 = -u. Let g = h - u. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000961163144 to six dps.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/4)*g)**(-2\/85))**37 assuming g is positive.\nAnswer: g**(-407\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let w be m + (-3 - (1 + -5)). Solve 4*n - w*p - 7 + 23 = 0, -2*n - 4*p + 14 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 - 15\/(-100). Let x = 28.1 + -29.3. Let z = x + 0.7. What is the third biggest value in -4, r, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 5. Calculate w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*c + 2*w - 9, -4*c + 4*w = 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfl when three letters picked without replacement from fdfdfdddffdfddlddfd?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147\/5 + 29. What is the second biggest value in z, 1.7, 3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 3*i + i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -371981\/26 - -186088\/13. Factor -o*p - 2*p**2 + 25\/2.\nAnswer: -(p + 5)*(4*p - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26141 - 85) + 14\/(-4)*-2.\nAnswer: 67, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - (-2 + (-3 - -3)))\/1. Let w = s + 8. Suppose 3*y + 3*d - 93 = w, 2*y - 47 = 2*d + d. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072558 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1627655724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*p - 686 = -405 + 2089 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t*w**2 + t*w - 19*w**2 - 79*w wrt w?\nAnswer: 4*t - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4851 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44986 divided by -83?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 676512 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:05 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = g, 27*i + 152 = 32*i + 4*g. Sort -12, -0.1, i in decreasing order.\nAnswer: i, -0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/48671809 or 0?\nAnswer: -2\/48671809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/167? (a) -2 (b) 0 (c) -1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 3. Let i be x(-5). Let y be (6\/(4 - 1))\/i. Solve y = -2*m - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z + 3*z + 0*z + 9*z - z + 404.\nAnswer: -6*z + 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 136732 (base 11) to base 7\nAnswer: 1550306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*t - 3742 = 0, -3*a + 3*t - 4604 = -857. Let m = -868 - a. Suppose -m = 4*x - 8*x. Round x to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 71, 24, -41, -124, -225, -344?\n\"Answer: -9*u**2 - 2*u + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -8. Let u = a + -17.4. Let l = -15 - -14. What is the second biggest value in -0.02, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9760541m in micrometers?\nAnswer: 976054.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (50\/(-100))\/(2\/(-36)). Suppose -3214714 - 2353586 = -p*m. Round m to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20017 is divided by 6366.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*q - 4 = 0, 4*q + 20 = -0*n - 4*n. Let y(g) = -g**2. Let m be y(-2). Sort n, -1, m in ascending order.\nAnswer: m, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 1. Let j(y) = 9*y**2 + y + 6. Determine j(u) + 3*w(u).\nAnswer: 12*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 50 + 40 = 2*p, 10*p - 2*z = -14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b - 8?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-193)\/2509)\/((-1)\/2). Is f less than -16\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/60 - (-1923)\/(-90) and -29\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310870200 rounded to the nearest 1000000?\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 - 8*y + 18. Let u be i(17). Let f = 2551 - u. Suppose 0 = -4*p + 5*t + f, 5*p - 6*p - 3*t + 289 = 0. What are the prime factors of p?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3, -5*m - 27 = -m + 5*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 241, 486, 757, 1054?\n\"Answer: 13*a**2 + 206*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1076, -2, 4 in descending order.\nAnswer: 4, -2, -1076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 15. Let c = f + 3.3. Put c, 2, 0.4 in descending order.\nAnswer: 2, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 58.65198\nAnswer: -58.65198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48ec48 + -2?\nAnswer: 48ec46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k - 4*k)*(0 + 6 - 4) - 8*k + 3*k + 2*k.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 50736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42786287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t**2 + 14*t - 24. Let p(c) = 7*c**2 - 6*c + 11. What is 2*o(w) + 5*p(w)?\nAnswer: 5*w**2 - 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 168. Let s(w) = -2*w**2. Give z(s(l)).\nAnswer: 14*l**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*b**5 - 169*b**5 + 2*b + 11*b**2 + 3*b**6 + 405*b**2 wrt b?\nAnswer: 360*b**3 - 8100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -6\/7 (c) 994631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d. Let b(v) = 10*v - 9*v - 4*v + v. Give t(b(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (3\/(-3) - -3). Suppose 4 = o*n - 11. Find the second derivative of -4*u - u**n + 2*u**3 + 2*u wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 15. Let p = 0.1 - 0.6. Let r be (37\/18 + -2)\/(1\/(-3)). Sort r, p, j in ascending order.\nAnswer: j, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5620057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3349*s**3 - 2182*s?\nAnswer: -20094*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -142. What is the remainder when 139 is divided by i\/(-3) - 12\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8)*-1 + (-105)\/(-140). Let j be 5\/(5\/(-4)) + w. Let c be 0 - (0 + -42 - j). Are 40 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 4, p: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -40. Suppose 3*m = -5*v + c, -4*m + 7 = -0*m + v. Solve -5*n = 6*d - d - 5, -5*d = 3*n - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112921717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 23*n**2 + 2*n. Let g(d) = -8*d**2 - d. Let q be (-22)\/99 + (-22)\/(-18). Let b be q\/(-2*(-1)\/(-8)). Let y(o) = b*m(o) - 11*g(o). What is y(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 31. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 4. Let s be d(-5). Suppose 3*u - 5*r = 27, -r = -u - 5*r + s. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 22 = 3*r, 4*r + 8*t + 5088 - 5024 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-110)*(-10)\/102.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t**3 + 13*t**2 - 9*t + 9. Let h(i) = 3*i**3 + 3*i**2 - 2*i + 2. Suppose -3*k - 90 = 2*k. Determine k*h(a) + 4*j(a).\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 + 428 = 7*n. Let a = 161 - 158. Solve 0 = -a*h + n + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 - 7*o**2 + 7. Let g(f) = 5*f**3 - 6*f**2 + 8. Calculate 6*g(h) - 7*i(h).\nAnswer: 2*h**3 + 13*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*m - k + 25 = 0, -3*m - 5*k = -40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418325756?\nAnswer: 2, 47, 67, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1320 and 704.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 247c + -1?\nAnswer: 247b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**23)**(-32) assuming i is positive.\nAnswer: i**(-736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-33)\/(-2))\/(-11) - 316\/(-239) and -29\/12.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -54935*x**3 - 385*x**2 - 55. Let i(q) = -3052*q**3 - 21*q**2 - 3. Determine -110*i(k) + 6*o(k).\nAnswer: 6110*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*r = -15, u - 3*u - 17 = 5*r. Let n(f) = -f**3 - 5*f**2 + 6*f + 4. List the prime factors of n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 3. Let h(i) = 8*i**2. Determine c(h(z)).\nAnswer: -32*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 19 - 14 = 0. Let y = d - -24. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 5. Let p(r) = 8*r - 4. Suppose 2*x - 5*g = 12, -3*x + 4*g + 17 - 13 = 0. Determine x*n(a) + 5*p(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -10. List the prime factors of p\/((-357)\/358 - (3 + -4)).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44780 and 4?\nAnswer: 44780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (1 - (20 - -12 - 52)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v - 11. Is h(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 + -295 - (-3 + -6 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60 * -0.2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 - 6 = 5*j. Let w = 52 + j. Let s = 53 + w. Solve -u + s = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3245952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*y**2 - 9*y - y + 12*y**2 + (0 + 0 - 2*y)*(-2*y + 3*y - 2*y) + (3 - 3 + 2*y**2)*(4 + 1 - 4).\nAnswer: 5*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 107*d - 48*d = 122166. What are the prime factors of d?\nAnswer: 2, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2710 and 73\/1546326.\nAnswer: 7731630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181, -314, -405, -454, -461, -426, -349?\n\"Answer: 21*h**2 - 196*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - 4*l - 4, 11 = 2*m - 5*l. Let b(i) = 2 - 2 + 2 + 2*i**2 - 3*i - 4*i**2 + i**3. Let f be b(m). Put f, 4, -3 in descending order.\nAnswer: 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -75, -249, -585, -1137, -1959?\nAnswer: -3105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 3. Let s be z(2). Suppose s*d = 3*d + 16. What is the common denominator of -3 - (-2 + (-62)\/d) and 37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 462 = -34*n + 7*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 404.9259 to 1 decimal place.\nAnswer: 404.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 324\/2205276559 - -758892773777054\/1547541798895455. Let m = 28\/4253 + h. Calculate the common denominator of m and 59\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-17 - 15) + -3 - 17?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168834*k**5*t**2 + 29*k**2*t**2 - 7*k**2 - 2*k + 1 wrt k.\nAnswer: -10130040*k**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/60 + k**5\/20 - k**4\/24 - k**3\/3 - 53*k**2. What is h(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -0.8. Let n be (-22)\/(-6) + (-4)\/6. Which is the nearest to n? (a) g (b) -2\/17 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 5. Suppose 2*s - 4*s = 3*k - 28, -3*s - 2*k = -32. Calculate the remainder when s is divided by x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 81 = 65*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-37))\/(o\/o**(-3\/11)) assuming o is positive.\nAnswer: o**(-410\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2 - 12923. Let t(q) = -q**2 + 17. What is a(t(p))?\nAnswer: -7*p**4 + 238*p**2 - 14946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 - (-13)\/4. Suppose 2*u - 6 = -h*n - 1, 3*n = -5*u + 8. What is the tens digit of 1 + (-2)\/u - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69727 at most -69727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**2 - 3 + 0*v - 1\/3*v**3. Determine f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -795198147*p - 839026798 wrt p.\nAnswer: -795198147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 7*l = 12*j - 40, 14 = -3*j - 2*l for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 719275 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-30)\/(-6)*(-2)\/(-20)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*r**3 - 225*r**3 - 482*r**3 - 1081*r**3.\nAnswer: -1687*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 + 5*f. Let r(s) = 4*s**2 - 6*s. Let q(l) = -2*d(l) - 3*r(l). Find b such that q(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -849 + 854. Let p(y) = 11*y**2 + 10. Let b(j) = 2*j**2 + 2. Let z(g) = k*b(g) - p(g). Let f(a) = 4*a - 5*a + 3*a - 51. Give f(z(h)).\nAnswer: -2*h**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.69, 1, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148070 and 645320?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -2\/5 (c) 2\/13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, w: 6, q: 1, g: 2, k: 4}. Give prob of picking 3 c and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -139. Let o(h) be the first derivative of y*h**2 + 0*h + 3 - 2\/3*h**3. What is the second derivative of o(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 0*o**2 - 2*o**2. Let k(x) = 438*x - 145*x - 148*x - 145*x + 39*x**2. Calculate k(s(h)).\nAnswer: 351*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1444*i**3 + 10*i**2 - 6*i - 699. Let k(v) = -1446*v**3 - 12*v**2 + 7*v + 698. Let n(y) = 5*k(y) + 6*t(y). Find the second derivative of n(m) wrt m.\nAnswer: 8604*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1804886, 3609773, 5414660, 7219547?\n\"Answer: 1804887*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19791 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.99999986. Round n to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twhwtwtdjtdh. Give prob of sequence htd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence giq when three letters picked without replacement from ifmifmfiifmqiigig?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1121, -1206, -1341, -1520, -1737, -1986?\n\"Answer: l**3 - 31*l**2 + l - 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5260250129, -5260250128, -5260250127, -5260250126?\nAnswer: -5260250125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 13. Let c be b(-4). Suppose -4*f + 20 = 0, -3 = -c*u + 2*f + 110. Let s = -23 + u. Calculate the smallest common multiple of 10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = g + 3 - 1, -3*g + 5*o = -26. Let f be 1 - (-1 - (g + 0)). Suppose -4*a + f*h + h = -83, -5*h = -25. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.2 * 233.\nAnswer: -5172.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1177886 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/8)\/((-3185)\/18200).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1279614893 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-5))\/3)\/(7\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65604958.\nAnswer: 2, 32802479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 16*z + 6. Let x be a(16). Let w(u) = u + 6. What is the smallest common multiple of x - (-240)\/(-42) - 75\/(-7) and w(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -29217*i. Let r(f) = 1585*f**2. Give g(r(d)).\nAnswer: -46308945*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061863202 rounded to four dps?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 19*y**2 + 8*y + 25. Let o be b(10). Solve -5*k + 20 = o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 14. Suppose 0 = 5*d - 11 - 4. Let t(u) = 7*u + 4 + 1 + 12*u + 3*u - 24*u. Give d*b(f) - 8*t(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893651 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13567263 (base 8) to base 14\nAnswer: 5a0c95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - r**2 - 17256*r**5 + 17012*r**5 - 2*r**5 + r**4 - r**4 + (0*r**2 - 3*r**2 + r**2)*(0*r**3 + r**3 + 0*r**3) + 180 + 13*r**5 - 180.\nAnswer: -235*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 - v + 4. Let a(l) = -2*l**3 - 11*l**2 + l - 8. Let c(b) = -2*a(b) - 5*f(b). Determine c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 43*m - 42*m. Suppose -34 = -m*o - 4. Solve 2*c - o*b = 6, 6*c - 2*c - 2*b = 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = -1625. Let x = -967\/3 + h. Let -98\/3*o**2 - 56\/3*o - x = 0. Calculate o.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6268 - 1.96601305?\nAnswer: -6269.96601305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 64*p**2 + 125*p + 128. What is c(66)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*v + 1 = 2*v, -k = 3*v - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + -1 + 1 + -1. Suppose 3*o = -0*o + 6. Suppose o*k - k = 16. What is the greatest common factor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-3*x - 2*x + 4*x) + 2 + 2*x - 2)*(-7*x**4 - 5*x**4 - 4*x**4) - 4*x**5 - 3*x + 3*x.\nAnswer: -68*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t**2 + 4*t. Let c be o(-3). Let b = c - 18. Suppose -i = -n + 2*i + 6, -n + 4 = -i. What is the highest common factor of b and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7749*w - k = 7752*w - 5, 3*k = w - 15. Let y(r) be the first derivative of 3*r**2 - 10 + 4*r + 2\/3*r**w. Solve y(p) = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 85.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2031?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 96 - 1596\/(-38)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 17*s - 25. Is i(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0717 + 2\nAnswer: 1.9283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**4 - f**4 - f**4)*(-1 - 3 + 2 + (-6 + 1 + 3)*(1 - 5 + 1)) as l*f + g*f**3 + c*f**2 + h*f**4 + y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*v + 1708, 0 = -2*v + 5 - 15. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**3 - 152*z + 121*z - 9*z**3 - 16*z**3 wrt z.\nAnswer: -138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from ekt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x**(-1\/2)\/x))\/x))**(2\/39) assuming x is positive.\nAnswer: x**(-1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 1, k: 2, s: 1, l: 1, w: 1}. Give prob of sequence kwpl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(((s**(-1\/11)*s)\/s)\/s)*s*s**(-2\/3)*s*s*s)\/(s*s**2*s*s*s)**6 assuming s is positive.\nAnswer: s**(-976\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 2. Let h be p(3). Let w = 35 + -40. Let d be 2\/(2 + -1 + -2). What is the second smallest value in d, h, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 5*s - 3, -4*s = -5*x + 27. Suppose 3*q = 7*q, -5*j - 536620 = -x*q. Let f = j - -176324. What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u - 2. Calculate the remainder when 37 is divided by d(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o - 18. Let s(w) = -w - 1. Let u(l) = f(l) + 5*s(l). Let j be u(-8). Let c be (-3)\/24 + j\/8. Calculate the greatest common factor of 16 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**3 + a**3 + 2*a**3 + 3*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -28, -32, -18, 26, 112, 252?\n\"Answer: 2*n**3 - 9*n**2 + 3*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 375566409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12991703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 123 = -4*j, 20*c - 18*c - 122 = -4*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418940600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-18))\/(10\/(-48)) - 2. Let v = -0.006 - -1.006. What is the nearest to j in -0.1, 0.5, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 26*z - 39. Let u be c(-11). Let o(q) = q - 14. Give o(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*v - 1 + 3 = -2*k + v, 0 = -4979*k + 5*v - 29854 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/7))\/x)\/x**(-2)*(x*x**(2\/19))\/(x\/(x**(-2\/3)\/x)) assuming x is positive.\nAnswer: x**(289\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + (-5 - -21) - (0 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 8:13 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y + 8. Suppose 4*u + 2*a - 24 = 0, -4*a = y*u + a - 24. What are the prime factors of 5*(u\/(-15) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.94 + -2.94. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 76440 = 17*r. Round r to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1912848 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1732003.371 seconds to weeks.\nAnswer: 2.8637621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -740976 divided by 46311.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100010 (base 2) in base 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -0.09. Let f = -0.2 - -0.3. Let k = -2.02 + 0.02. Which is the closest to f? (a) -0.4 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/83248 and 61\/580844.\nAnswer: 25557136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -2238, -5176, -9456, -15174?\nAnswer: -22426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 + -392. Let q = 102 - x. Let z = 0.5 - 0.2. Which is the second biggest value? (a) q (b) z (c) -2\/227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*(h\/((h\/h**11*h)\/h))\/h)\/h*h*h*h)\/h*h**0)**(14\/3) assuming h is positive.\nAnswer: h**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29\/(-377))\/(6\/(-234)). Solve 15*d - s*d + 48 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**5\/130 + 73*f**4\/78 - 943*f**3\/39 - 15129*f**2\/13 - 1169*f - 3. Factor u(c).\nAnswer: -2*(c - 41)**2*(c + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 785 - 20572 = 0. Let c = 4519 - u. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-16 + 19 + -2 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -12*m**2 + 0 - 1\/150*m**6 + 0*m - 1\/525*m**7 + 1\/150*m**5 + 1\/30*m**4 + 0*m**3. Factor b(u).\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2804 - 9*o - 17*o + 68*o - 19*o - 25*o to h*o + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 3 (b) 1 (c) 5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/15)\/((110\/(-31225))\/11).\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6594.276 litres to millilitres.\nAnswer: 6594276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-59 - -3) + 9 + -3 + -19 + 26?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 - 60*y**2 + 178*y + 698. Give s(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20308*p**3 - 8512?\nAnswer: 60924*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*o**3 - 9*o**2 + 24*o**3 + 16*o**3 wrt o.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18 + 21 - 1 - 21*j + j**2. Let s be l(19). Suppose s*o + 0*o = 3*o. Solve 3*c + 9 = o, -5 - 4 = -2*b + 5*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 23994*k + 1936951. Determine z(81).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*x - 4)*(-5 + 5 - 4*x**2) - 207*x**3 - 200*x**3 + 405*x**3 to the form p*x + q*x**2 + i*x**3 + o and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -48. Suppose -p*c + 2842 = 10*c. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t - t + 2*t)*(-8*t + 3*t + 3*t) - 5*t**2 - t**2 - t**2)*(-1 - t + 1).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 + 814453*c**3\/4 - 165833015075*c**2\/4 - 165833829529*c\/4.\nAnswer: -c*(c - 407227)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 24. Let u be (128\/4320)\/(n\/(-3)). Let m(r) = r**2 + 4*r - 5. Let q be m(-5). Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 4*m**2 + 13*m - 13. Let v be z(6). Let j(c) = -1. Let o(t) = -t**2 - 7*t - 7. Let a(r) = 2*j(r) - o(r). What is a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 71*(7\/7)\/(2 - 1). Let f = 108 - a. Calculate the greatest common factor of f and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 6\/21. Let y be (138\/322)\/(2 - 13\/7). Suppose 10*k - y*k - 483000 = j. What is k rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 6*x + 8. Let y be a(7). Let o be (9430\/164 + -50)\/((-30)\/(-16)). Do y and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1103758\/71 or -15546?\nAnswer: -1103758\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670 divided by 21?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*c = 3*j + 26, 4*j + 60 = -4*c. Let p = j + 12. List the prime factors of (-340)\/8*p + -3.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135803 and 172929.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 139\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 - 2*v - 3. Let d be u(-3). Let t be -2 + (-3 - (d + -3)). Solve -t*l = -5*h - 0*l + 11, -2*h - l + 7 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 296.9 and 81322.\nAnswer: 81618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70338032 divided by -1.\nAnswer: 70338032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15148 is divided by 14891?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15*i**2 + 1 + 32*i**2 - 2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - 69. What is f rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -26. Suppose -2 = -y + 2. What is the least common multiple of a and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2319 - 2271. Let f = 291086.20046 - 291038.2. Let k = f - s. Round k to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 151, 359, 661, 1063, 1571, 2191, 2929?\n\"Answer: q**3 + 38*q**2 - q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00336394079 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m + 1. Let s = -3 + 2. Let p be b(s). Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = r + 198 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4545 + 5*g**2 + 25*g**3 - 3*g**2 + 295*g**3 + 4548 to l*g**2 + c*g + n*g**3 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800664278?\nAnswer: 2, 400332139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/7)*v*v))**(-24) assuming v is positive.\nAnswer: v**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -75. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18702, -18804, -18968, -19188, -19458, -19772?\nAnswer: -20124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -43, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6921 (base 11) to base 3\nAnswer: 110110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1058129168861842 + 9947060704223456383223\/9400611. Let y = 2\/200013 + w. Let m = y + 293\/1034. Calculate the common denominator of m and -31\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(3\/10)*((y\/((y*y**(-27)*y)\/y))\/y*y)\/y)\/(y**9*y*y**(1\/14)))**(4\/11) assuming y is positive.\nAnswer: y**(232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2243 - c?\nAnswer: -224f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4413 or 1?\nAnswer: 2\/4413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*v + 2. Let f be v + -1 + (-114)\/(-36). What is the biggest value in 9, 3, f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 10. Factor -2*r**2 - 2*r**2 - 2 + 6*r**u.\nAnswer: 2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48418667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q + q. What is the tens digit of (5\/q)\/((-2)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/15)*h\/h**6 assuming h is positive.\nAnswer: h**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-572)\/12 - 0)\/(1\/(-27)). Suppose z = 4*z - w. Suppose 0 = -4*k - 45 + z. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 10. Suppose c*x - 2*x = 25. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459055147 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.59 and 32.303264.\nAnswer: 35.893264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3013 - 2222320?\nAnswer: -2230333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*o + 5*p, 3*p + 1 = 2*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, 0.5, 88, -3, -12\/13, -1?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 18, -28, 12 in ascending order.\nAnswer: -28, -5, 2, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**3 + 8 - 75 - 25.\nAnswer: -49*s**3 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76059864501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/3, -1\/19, 65, -3, 244?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggvkkevv. Give prob of sequence vkvk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**3\/6 + 5*v**2\/2 + 3*v. Calculate f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, f: 2, u: 1, a: 1, e: 3}. Give prob of sequence eua.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -67?\nAnswer: -67.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*y - 26*z + 21*z, 0 = y + 9*z + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(60)\/sqrt(6)) + -3 + ((sqrt(35)\/sqrt(5) - sqrt(7))*-1 - sqrt(343)*-1).\nAnswer: -3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3309061 decades to years.\nAnswer: 3.309061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6*m - 30 = 0, -m - 37 + 32 = 3*j. Put j, -9, -137, -2, 4 in descending order.\nAnswer: 4, j, -2, -9, -137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/150, 2, 0.06, -0.01 in descending order.\nAnswer: 2, 0.06, 1\/150, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -67*c + 8. Let w(x) = 405*x - 50. Give 25*f(b) + 4*w(b).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 - 2*b + 3. Let u(y) be the second derivative of -y**5\/5 + y**3\/2 - 2*y**2 - 15*y. Calculate 7*l(i) + 5*u(i).\nAnswer: i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 0, 15*n + 5 = 16*n + i. Which is the closest to 2\/7? (a) n (b) 2\/7 (c) -0.2 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 1, m: 2, n: 2}. Give prob of sequence nmn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:06 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 + 6*f**2\/7 + 37*f\/7 - 90\/7.\nAnswer: -(f - 9)*(f - 2)*(f + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -68, 0.1, 3\/5, -4, 2\/7, 0.117?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -39*u**2 - 38*u**2 + 84*u**2. Let v(x) = 2*x - 3. Let g(f) = 5*f - 7. Let h(m) = 3*g(m) - 7*v(m). What is r(h(i))?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 26 - 25 - 23 - 6)*(-6*h**2 - 4*h**2 - 3*h**2).\nAnswer: 1170*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1281 + -833. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 0*r + 3*r - 7. Let a(d) = -128*d - 880. What is the lowest common multiple of a(-7) and m(5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k - 15*k + 17 + 15 + 32*k.\nAnswer: -7*k + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 540603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66363 divided by 1.\nAnswer: -66363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.3, 12\/25?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1175, 468.\nAnswer: -1175, 2, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353839619.\nAnswer: 7, 1549, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 363 - 361. Suppose 9*j = -i + 65. Let r = -1 - 2. Sort 4, 1, r, j in decreasing order.\nAnswer: j, 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 14. Let k be m(-7). Suppose -h = -k*h. Solve h = 3*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -3399, 23?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4*(n*n\/(n\/((n\/(n**(-2\/3)\/n))\/n))*n)\/n*(n**(4\/7)*n)\/n**(-1\/4) assuming n is positive.\nAnswer: n**(713\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357886731.\nAnswer: 3, 67, 827, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 265*i - 9. Let x(n) = -1794*n + 62. Let h(w) = 27*s(w) + 4*x(w). Let v(d) = -32*d + 8. What is -8*h(y) + 5*v(y)?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 10*l + 1. Let v be a(-9). Suppose -6*n - v = -n. What are the prime factors of 3 - (-83 - 3) - 2\/n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10645.\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 515583 to the power of 1\/2, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4 + 4*l**3\/3 + 552*l. Let v(z) = 5*z. Calculate v(q(a)).\nAnswer: 60*a**2 + 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11090634 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 + 13*l + 12. Let s be 6 + ((-6)\/(-3) - 1). What is the tens digit of i(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c - 4. Let l be f(-4). What is the smallest value in l, -2\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:28 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:10 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from neoneeon.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b + 11. Let a be s(-7). Calculate the least common multiple of -1*(-4 + a + 9) - -10 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 2*d**2 + 6*d + 5. Let l(k) = -k**3 + 2*k + 2. Let x(u) = -3*l(u) + p(u). Let i(a) = -a**3 - 2*a**2. Calculate 3*i(q) - 2*x(q).\nAnswer: -q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 23*g**2 + 85*g - 2. What is the units digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 39 + 34 + -26 - 84?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 133, 275, 487, 793, 1217, 1783, 2515?\nAnswer: 3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2286*m**2 - 9*m. Let t(k) = 2*k. Give t(d(i)).\nAnswer: -4572*i**2 - 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose 0 = 2*n - 6, u = 2*o + 3*o - n - 27. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32379003 by 3.\nAnswer: -10793001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -14 + (27 + -20 + 10 - 17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100102 (base 3) in base 16?\nAnswer: fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -5 (c) 0.027 (d) -1\/87 (e) 15.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-534)\/89*-16*(-18)\/11664\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.8 times 4?\nAnswer: 587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.4337l in millilitres?\nAnswer: 459433.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -6. Suppose -3*u + 103 = 5*v, 0 = -c*u + 8*u + 5*v - 139. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**2. Let r(q) = 284*q**2 + q. Give r(m(o)).\nAnswer: 63900*o**4 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 4*z - 7\/2*z**2 + 2. Is b(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26361 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.23 + -3.23. Suppose -n - 30 = -7*n. Which is the third smallest value? (a) h (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*r + 10, 5*r - 25 = 4*m + m. Let g(w) = m*w - 18*w - 2*w. Let o(j) = -4*j. Calculate o(g(k)).\nAnswer: 80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*d - 4*w, -10 = -5*d + 7*w - 3*w. Let c be d\/(-4)*-6 - -153. Find the third derivative of -107*i**2 - 73*i**2 + 6*i**4 + c*i**2 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.047*3.\nAnswer: 0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -230*i**4 - 38*i**2 + 257*i**4 - 22*i**2 + 21*i**3 + 12*i.\nAnswer: 3*i*(i - 1)*(i + 2)*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1500\/1061 (c) 0.4 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -19.84. Let s = -0.21 - g. Is s equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1489 in 63\/8, -1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153542 and -39.3.\nAnswer: 6034200.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*r - 2*o, -4*r + o = -2*o + 132. Let c(z) = z**3 - 7*z**2 - 25*z + 7. Let h be c(9). Calculate the common denominator of -99\/2 and 42\/h*(-308)\/r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*o = -16, -2*f = -0*o - 3*o - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -4. Let m(y) = 4*y**3 - 6*y**3 + y**3. Let n(u) = 26*u**2 - 1761*u - 475. Let o be n(68). Let l(b) = -b**3 + 2*b + 3. What is o*l(r) + w*m(r)?\nAnswer: r**3 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 2*i + 2*i + 30*i**2.\nAnswer: 30*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5259 + -2864. Let i = b - 1658. What are the prime factors of i?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.0643949 months?\nAnswer: 0.000088699575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - p + 2 + (0 - 1 + 0)*(4*p + p - 3*p) + (2 - 2 - 1)*(-3*p + 4*p - 3*p) + 2*p + p + 0*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2489*h**3 - 2507*h**3 - 2209*h**3 + 7199*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/2 (b) 2.55 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 2553?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 + 15*i + 18. Let x be y(-8). Let b = x + -21. What is the second derivative of -u**5 + 5*u**b + 206*u - 225*u wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5791297974 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(2\/45)*i)\/(i\/(i*i**23)))\/(i**(-1\/21)\/(i**30\/i)) assuming i is positive.\nAnswer: i**(17326\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 14053102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -v - v + 4, 5*m - 20 = 4*v. Let b(o) be the second derivative of -1\/2*o**2 - 1\/3*o**4 - 6*o + v*o**3 + 0. Calculate b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302245 (base 8) in base 12?\nAnswer: -155345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -601, 1, -23, 82?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2 + 7*y + 2. Let j be x(-7). Suppose 5*l - 27 = -4*z, 4*z + j*l = -z + 21. Suppose z*k = 31 - 1. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 3*h - 8. Let p(j) = -5*j**2 - 3*j - 9. Let b(o) = 6*m(o) - 5*p(o). Calculate b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(-5\/2))\/((w\/((w\/(w*w**(1\/10)*w))\/w*w))\/w*w\/(w*w*w**(2\/5)\/w)) assuming w is positive.\nAnswer: w**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/24 + 74*a**2. Let s(o) = -8*o + 6. Let j be s(-3). Let r = j + -36. Let b(x) = -3*x. Calculate r*c(n) - b(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/(-3)*2. Calculate the remainder when 18 is divided by 3 + o + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 20*r = p + 943, p + 235 = r. What is the remainder when r is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -3*d**2 - 6*d + 0*d**3 - 21 - 7\/4*d**4. Let m(w) = 6*w**3 + 5*w + 5. Let r = -17 - -11. What is r*m(z) - 5*j(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3114 - 13026 = -538*s. Suppose 3*f + 6 - 15 = 0. Suppose -4*m + 2 = -z, f*z + 2*z + 4*m = 14. What is the smallest common multiple of z and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/944354 and 15\/128048.\nAnswer: 7554832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397 is divided by 70?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6248 and 87\/4544.\nAnswer: 49984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-17)*k)\/k**9)**(-9\/13) assuming k is positive.\nAnswer: k**(225\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:30 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g*g)**13)**39 assuming g is positive.\nAnswer: g**676","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5958 = -2*g, 0 = -19*c + 18*c - 2*g + 2970. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1)*18\/2. Calculate the common denominator of 5\/7 and (-4)\/18 - (-172)\/c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-7)\/((-21)\/9). Solve -b*q = -0*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + -53?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -145, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1938 and 1518202.\nAnswer: 86537514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -7, -10, -1\/9, -66?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c**3 + 204*c**2 - 30*c - 24. Give m(11).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/48642797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -112 (b) 0 (c) 0.2 (d) 0.4 (e) -2 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwwtwwjwwwjwtjwt. Give prob of picking 1 j and 1 w.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 3. Let s(h) = 19*h**2 + 19. Determine -6*s(r) + 39*x(r).\nAnswer: 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666928?\nAnswer: 2, 31, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a - 6*a**4 - 21 + 40 + a - 21 + a**3 wrt a.\nAnswer: -72*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 3647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 2 + (2 + 1 - 4)*(5 + 0 - 4))*(5*z - 5*z + 5*z) to the form f + v*z and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3868, 8971, 14074, 19177, 24280, 29383?\nAnswer: 34486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36791 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22870499 - 14584499. What is i rounded to the nearest 100000?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l**2*w**2 - 575*l**2 - 5422296*l*w**3 + 31710*l + 2 wrt w?\nAnswer: 8*l**2*w - 16266888*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/465*(-9)\/6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 4*p**3\/3 - 4*p**2 + 4*p + 4. Let b be w(6). Let f = 153 - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 385*y**3 + 7*y.\nAnswer: -385*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 5, 54, -0.9.\nAnswer: -5, -0.9, 5, 10, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8992 and 3296.\nAnswer: 926176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 14*z + 166. Calculate the remainder when z is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137594, 137595, 137596?\nAnswer: 137597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -83, -100, -107, -98, -67, -8?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -3\/200*y**5 + 0*y**3 + 0 + 0*y + 1\/120*y**4 + 2*y**2. Factor l(j).\nAnswer: -j*(9*j - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 divided by -367?\nAnswer: 718\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 20.6, -0.1, -1\/6, 5, 0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10365 = -562*o + 559*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 - 18*a**3 - 537*a**2 + 3852*a - 5460 = 0. Calculate a.\nAnswer: -14, 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + f**2 + 78*f - 250. Let y(n) = n**2 + 2*n - 4. Calculate the smallest common multiple of y(-6) and i(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -757075101\nAnswer: -757075101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 178\/(-89)*(-7)\/((-7)\/36)*(-42)\/(-63)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 35*j**2 - 52*j - 6. Give r(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/213, 2\/525, 1\/7, 132.\nAnswer: 2\/525, 1\/213, 1\/7, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1594669659.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*f = 249*f - 556*f - 462 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/((-27)\/(-15)). What is the closest to -0.1 in d, -3, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-140))\/(37\/(-3330)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2337)\/(-2337))\/((-78)\/(-480)*4).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b*b*b**(-9\/4))*b))\/(b\/(b**(1\/39)\/b)))\/(((b*b\/((b*b\/(b*b\/(b*(b**(-9)\/b)\/b)))\/b))\/b)\/(b\/(b\/(b*b**(-11)*b)))))**7 assuming b is positive.\nAnswer: b**(-25361\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 12. Give f(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -520, -661, -802, -943, -1084?\n\"Answer: -141*l - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134430 (base 6) in base 16?\nAnswer: 25452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 3\/2 (b) -2\/763 (c) 2458 (d) 0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f**3 + 18*f**3 + 23 + 3*f**3 wrt f.\nAnswer: 78*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:00 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + (sqrt(200) + -2 + -3)*-3 + -3)**2 + 4).\nAnswer: -12360 + 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -262, 5 in decreasing order.\nAnswer: 5, -3, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 - 0.8. Let m = -8765\/3 + 2922. Put -2\/19, 0, s, m in decreasing order.\nAnswer: s, m, 0, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -5, 89, -4\/9 in decreasing order.\nAnswer: 89, 0, -0.4, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 765*j + 27163. Determine l(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 347619345, 347619344, 347619343, 347619342, 347619341, 347619340?\n\"Answer: -x + 347619346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8946052 is divided by 4473025.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * -119.\nAnswer: -13209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggddddgdd. What is prob of sequence dddd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0 + u**2 - 1\/60*u**5 + 0*u + 7\/6*u**3 + 1\/8*u**4. Give c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbnbn. Give prob of sequence bnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270278787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 27 = 4*x, r = -9*x + 4*x + 9. Let i(w) = -w + 32. Let c be i(18). Suppose -8*o - 48 = -c*o. Calculate the least common multiple of o and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 909 + -943 - (0 - -1 - 15).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-39)\/(-21) - (-442)\/91. Suppose 3*k = 8*k - z*f - 90, -5*f = 25. Let p = -270 + 413. Calculate the highest common factor of k and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**2 + 4*r - 9625. What is f(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179431 and 4347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -z - 15, 5*z + 29 = 3*s - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*a + 41759 = 205715 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q = 4*i, -5*q = 2*i - 15. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 175*b + 271*b - 186*b + b**2 to h*b**2 + s*b + p and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - 1 - (34 - 19)) + 8 - 4) + 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 0 - (100 + -104)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -36?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**3 + 2*j**2 + 58*j + 3. Let a(n) = -5*n**3 - n**2 - 29*n - 2. Calculate 5*a(c) + 3*z(c).\nAnswer: 2*c**3 + c**2 + 29*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q - 2. Let i be y(-6). Let r = 115 + i. What is the highest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 + 101.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 21*x**2 - 103*x - 22. Let j be q(-4). What is the greatest common divisor of j and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67431, 134838, 202245?\n\"Answer: 67407*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) -0.06 (d) 0.3 (e) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 - 7*q + 5*q + 2*q.\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 + 47328*n\/13 + 279992448\/13.\nAnswer: 2*(n + 11832)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.354949 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-24)*(-171)\/(-133)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l - 21 = -d, 3*d = -5*l + 52. Suppose -c = -3*k + 928, 2*k - 5*c - 606 = 82. What is the highest common factor of d and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:45 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11\/3*f**2 - 4\/3*f**5 + 11\/3*f - 7\/3*f**3 - 2\/3 + 13\/3*f**4 = 0. Calculate f.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1\/3, 59\/4, -0.138?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19838098 and 555.96.\nAnswer: 19838653.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8028519139?\nAnswer: 8028519139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 506, 13\/6, 4\/7, -0.1, 0, -2\/13?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -54\nAnswer: -41\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2976 - -1.7024. Let u be 25\/15*(-2)\/5. Which is the nearest to t? (a) 8 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.04 - -24. Which is the third smallest value? (a) s (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 245, 205?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2284 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2308 + -2315.1. What is the closest to u in -8, 4, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.4 (b) 0.08 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2627000 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-273) + 4090\/14. Let u = 734 + m. Is 57 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 3. What is the smallest common multiple of l and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/27 (b) -1\/14 (c) 1\/78 (d) -4 (e) -0.2 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -6. Suppose -19 = -4*j - 3*b, -f*b - 6 - 1 = -3*j. Suppose 0 = -3*g + 10 - j. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 1926*q - 196504.\nAnswer: -2*(q + 116)*(q + 847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 5 - 16*z + 65 - 51 - 9 + 3*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 p when four letters picked without replacement from {p: 4, b: 3, z: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 5280*s. Let u(d) = -74*d + 1. Give u(m(t)).\nAnswer: -74*t**2 - 390720*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 60 + 10*s**2 - 43 + 5*s - 43 + 148.\nAnswer: 10*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**7\/630 - 19*f**6\/90 + 87*f**5\/10 + 841*f**4\/18 - 268279*f**3\/18 - 143*f**2 - 4. Factor j(z).\nAnswer: (z - 29)**3*(z + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*l - 5603 - 4*l**5 + 255*l**2 + 5327 + 3*l**3 + 105*l**2 + 197*l**3 - 84*l**4 = 0. What is l?\nAnswer: -23, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 350*j + 6125.\nAnswer: 5*(j - 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (302*-2)\/((-1)\/4246). Let t = d + -8864584. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178772*c = 180160*c - 19445 - 55507 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leqffqsneneqnqn. What is prob of sequence ls?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose 5*p - 33 = f*p. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 203 = -3*y, -4 + 1 = y. Suppose 5*o - 28 - b = 0. What is the highest common factor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 537 = 5*t - z, -2*t + 5*z + 230 = 0. What is the highest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -16*k**3\/3 + 2*k. List the prime factors of v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*s**2 + 40*s**2 - 7*s - s - 53*s**2 - 14*s**2 as y + z*s**2 + v*s and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**30*s\/(s\/((s\/s**(-20))\/s)*s)*s**(4\/9)*s*(s\/(s\/((s**(2\/7)*s)\/s)))\/s assuming s is positive.\nAnswer: s**(3133\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6)\/(102\/24). Let h = -6 + 5.6. What is the nearest to -0.2 in -0.2, h, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 552\/54 - 6\/27. Suppose 27 = s*f - 9*f. What is the remainder when f is divided by 4 - 0 - (-1 + -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53963 - -53983.0614. Let q = u + -20. What is q rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*z + 9 = -8, -11 = -3*h - 2*z. Let a(x) = 62*x**3 - x + 1. What is the units digit of a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 35*c**3 - 3*c**2 + 3*c - 2. Suppose 0 = -5*m - 10, 7*q + 2*m + 10 = 10*q. Calculate the remainder when i(q) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, 117\/10, 2, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (194\/1455)\/(19\/(-190))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (8 - (14 - 0 - (-147 + 152)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*y - 354, 0 = t - 3*y + 14 + 50. Let q = 154 + t. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*530340.\nAnswer: 530340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16.768618 - -8\nAnswer: 24.768618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l + 35*l + 8*l - 3*l**2 + 7*l**2 - 3*l**2 - 70*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2595\/4942 or 2?\nAnswer: 2595\/4942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 + 1)) + -40 + 38?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 76827*l + 76824.\nAnswer: 3*(l + 1)*(l + 25608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 264329057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 396784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3607\/15 - 37747\/90. Let n = x + 179. What is the common denominator of n and 25\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-671)\/366)\/(186\/1116).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f**2 - 5*f. Let z(s) = -15462*s**2 + 15358*s**2 - 5*s - 34*s. Calculate -39*n(q) + 5*z(q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743446588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 + 3*p**3 + 0*p**3 + 4*p**3 - 3*p**3 + (0*p + p - 3*p)*(-4 + 4 - p**2))*(10*p**2 - p**2 - 29*p**2).\nAnswer: -120*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-6)*36\/(-150)*65 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 63 = 0. Suppose -m = -3*h - 3*i + 24, -3*h = -2*i - 30. Solve -5*g + h = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4\/2 + 96*t**3 + 840*t**2 + 1728*t = 0.\nAnswer: -4, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31000 + -1?\nAnswer: -31001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 + 12 = 0. Let i be (-4 + b)*(-2)\/(-20). Let f(r) = r - 1. Let d be f(4). Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18 + 57 - 3*h - 78.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -1996 (c) -520.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 259.7572 days?\nAnswer: 22443022080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5260507 divided by 5260507.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**2 - 3*x - 3. Let w(l) = -l**3 - l**2 + l + 1. Let n = 3 + -2. Let r(d) = n*s(d) + 3*w(d). What is the third derivative of r(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 6*o + 33, -2*o - 676*p + 672*p + 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/5 (b) 5 (c) 4\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -10. Let v(p) = -3*p - 1. Let i(t) = 9*t + 4. Let d(r) = 2*i(r) + 7*v(r). Is 7 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -24. What is the highest common factor of w and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/4744709?\nAnswer: -14\/4744709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -870 less than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18707.\nAnswer: 2\/18707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + o - 78, 4*s - 4*o - 46 = 2. Suppose 0 = -0*i + 3*i - s. Find the second derivative of m - 3*m**5 - m**5 + 3*m**i wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 650 - -16785. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*h - 5*b, -92 = -8*h + 4*h + 2*b. Suppose -3*x - 19 = 8. Let z = h + x. Calculate the greatest common divisor of 143 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/4, -2\/9, -1\/9, -1\/98, 11\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.29, -4, 0?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 3*x + 1. Let c be (-2)\/6 + 57\/9. Let y be -2 + c*2\/2. Is a(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajq when three letters picked without replacement from {q: 2, l: 7, v: 1, j: 1, a: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 + 4*w + 2. What is the remainder when (36 - 22)*(-1)\/(-2) is divided by j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 7*q - 6. Let p be r(-6). Let v be (-5 - p)*(-6)\/10. What is the second derivative of -v*k + 0*k**5 + 2*k**5 + k wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddwd when four letters picked without replacement from qwdddqdddqwwddqddd?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19*-5*26\/1235?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 22 = -r + 34, 0 = -3*r - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 229*x = -271 - 323. Factor -2*q**x + 0*q + 0 + 2\/3*q**2 + 2*q**4 - 2\/3*q**5.\nAnswer: -2*q**2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 - 5*o**3 + 3*o**3 + 23*o**2 + 5*o**3 + 9*o**3 - 104 in the form d*o + i*o**3 + v*o**2 + k and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 411, -1904\/15?\nAnswer: -1904\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1284 + -3114. Let i be 1\/6 - l\/36. Suppose -3*a + i = -27. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-6))\/((-154)\/231).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gem when three letters picked without replacement from {m: 1, h: 1, e: 2, g: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r. Let j(n) = -2*n + 1088 + n + 1086 - 2174. Give -24*j(p) - 3*s(p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4269 (b) 1\/2 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 305 + -1523\/5. Which is the closest to v? (a) 1\/7 (b) 0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 83 - 32 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4030, -16109, -36244, -64435, -100682, -144985, -197344?\n\"Answer: -4028*o**2 + 5*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252124 divided by 418?\nAnswer: 126062\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8235689 is divided by 457538.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 533*x + 1. Let g(i) = 711*i + 1. Let b(c) = -8*g(c) + 11*w(c). Let p(l) = 2*l**2. Calculate p(b(y)).\nAnswer: 61250*y**2 + 2100*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -39407310 to the nearest 10000.\nAnswer: -39410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**6\/165 - y**5\/5 - 38*y**4\/33 - 24*y**3\/11 + 29*y + 78. Factor t(p).\nAnswer: -2*p*(p + 2)**2*(p + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62136933.\nAnswer: 3, 107, 193573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 23*v**2 - 5*v + 5. What is the smallest common multiple of (-90)\/(-6*9*5\/135) and j(2)?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 2. Let k be (-380)\/(-90) - (-2)\/(-9). Suppose -w - k = 18. Let a(c) = -6*c - 11. Calculate w*u(i) - 4*a(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + s = m + 4, -4*m - 14 = s. Let o be (-14)\/m + (-2)\/3. Suppose 2*y = 2*u - 28, -3*u - o*y = -0*u - 21. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 8 - 8)*(-51 - 7 + 13)*(13*s + 12*s - 5*s).\nAnswer: 900*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000902072 to 7 dps.\nAnswer: -0.0000902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 5*n - 2*n)*((3 - 1 + 0)*(1 + 2 + 0) + 1 + 1 + 2).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -6*z + 39. Let t = z - 38. What are the prime factors of (-690)\/t*(22\/10 + -1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 less than -18483?\nAnswer: -18482.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131729 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -121403 and -16876.\nAnswer: -138279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/21)\/(366\/549).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2190.11266227 and -182?\nAnswer: 2008.11266227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*x = 0, -8*s - x = -3*s - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1876*w - 94 wrt w?\nAnswer: 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 - 6*k**3 + 6*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = -3*h, -5*v = -7*v - 3*h + 12. Solve v = 4*s + q + 9, 2*s - 24 = 7*s - 3*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 7*k = 8*k - 21 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 13*y + 14. Let w be v(-4). Does 10 divide (-86)\/7*(3 - w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348479623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2349, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 6) in base 13?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/4 - 1051*n**4\/4 - 6337*n**3\/4 - 5285*n**2\/4 = 0 for n.\nAnswer: -5, -1, 0, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -92 (c) -0.3 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1043, 1880, 2717?\n\"Answer: 837*z + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -7. Let r = 20.11 + k. Let h = r + -2.11. Which is the second smallest value? (a) 0.4 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 = -t, -2*c = t + 3*t - 12. Suppose 5*i - 41 = 4*f, -3*i + c + 11 = -2*f. Let w = i - -15. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:19 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 4*x + 2*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + (-2*sqrt(1900))**2)*3 + ((sqrt(76)*-2*-4)\/sqrt(4)*3)**2).\nAnswer: -67470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {i: 1, r: 3, s: 1, u: 1, w: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Let d be j\/5*(-173 - 7). Suppose y = -m + 6*y + 23, -d = -2*m - 3*y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/20)\/((-3)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -h + 10, o - 1 = -5*h. Let y be 3 + -2 + (-1)\/1. Suppose -3 = -c - 0. Solve -2*g + c*g + h = y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103412468 less than -3345?\nAnswer: 103409123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456830706 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(6)\/sqrt(2)*2.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4221750698 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-12))\/((-10)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*q + 155 - 155)*((-2 + 0 + 3)*(6 - 1 - 3) + (-2 + 3 + 0)*(-2 - 4 + 5) + (-2 - 2 + 3)*(-5 + 4 + 2) + 1 - 4 + 4).\nAnswer: -51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 3*v**2. Let z be (-4 + 2)*15\/(-6). Let m = 125 + -116. Let h(g) = -g**2 - 3*g**2 - 4*g**3 + m*g**2 + g**2. Calculate z*r(s) - 3*h(s).\nAnswer: 2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, y: 3}. Give prob of picking 3 f.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -206\/265 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4576 and 96.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1708288 and -21\/367015.\nAnswer: 93955840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 527682?\nAnswer: 527682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 - -6)*(-15)\/(-20))\/((-7)\/28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + 3*l**4 - l**4)*(4 - 5 + 4) + 4*l**4 + 3*l**4 - 4*l**4 + (-1 - l + 1)*(11*l**3 - 7*l**3 - 5*l**3).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5098, -357, -9428, -22097, -38346, -58157, -81512?\nAnswer: -108393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Suppose m = 2*m - 4. Let g = m - b. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 5*a. Suppose j - 3*m + 5 = -a*j, -m + 7 = j. Suppose -j = -3*f + 11. Solve 8*s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1778 = -2*t, 0 = -3*t + 2*h + 3*h + 2667. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 37 + 23. Suppose -j - 3*o - 7 = 0, 3*j = -l*o + 2*o - 21. Let a(i) = -i - 6. Calculate a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmukyvmm. What is prob of picking 1 u and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14512, 29879, 46104, 63187?\nAnswer: 81128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from arrrraarrrrr?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1179662 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d*d**(1\/8))\/(d**(-1\/7)\/d**(2\/11))*((d**(-1))**12)**21 assuming d is positive.\nAnswer: d**(-158035\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*o - 2*a, -3*o - 3*a = -5*o + 4. Let x(t) = t**3 + 5*t**2 - 63*t + 30. Let c be x(-11). Sort 0, o, c, 3 in descending order.\nAnswer: 3, 0, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.182 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6967 by 3.\nAnswer: -6967\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 36*d - 33. What are the prime factors of v(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21 + 147 + (1 - -1). Suppose 37 = 2*g + 5*p - 48, 3*g - p = b. Is g less than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p + 34. Let u be n(10). Solve -3*o + 4 = -u*o + 2*l, 0 = l - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 385*l**2 + 2*l + 4. Let k be c(3). Let g(w) = 383*w - 26. Let h be g(-6). Let v = h + k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-65))\/(6\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 4. Let i be ((-1)\/2 - -1)*-36. Let g be 117\/(-6)*(-4)\/(-6). Let x = g - i. Determine o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1120 - -1115. Which is the fifth smallest value? (a) w (b) -18 (c) -1 (d) 0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 361, 725, 1089?\n\"Answer: 364*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1729*q - 1527*q + 488*q)*(-q + 2*q - 2*q) in the form j*q + u*q**2 + h and give u.\nAnswer: 2768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 - ((-27 - -19) + 16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (310\/1116)\/(((-247)\/260)\/19).\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 12) in base 8?\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1321, 5 in descending order.\nAnswer: 1321, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 181980 + 142660. Round s to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -23. Let i = 5 + o. Let h be i\/(-12) - (-5)\/4. Sort -0.1, 0.3, h in decreasing order.\nAnswer: 0.3, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:29 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 3*w + 2. Let k be b(2). Suppose -g - 8 = -k*y + 14, 2*g - 16 = -2*y. Calculate the remainder when y is divided by (-1)\/2*8*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3895 or 71726?\nAnswer: 71726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s**2 - 7*s - 1. Let y(b) = -15*b**2 - 5*b. Let t(a) = 5*o(a) - 8*y(a). Let h(v) = -2*v**2 - 3*v + 3. What is -5*h(p) - 3*t(p)?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*n = 322*n - 348. Solve -2*i - 57 = -p - 54, -p - i - n = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6881.23 + -6881. Sort -0.2, -4\/5, p, -2 in ascending order.\nAnswer: -2, -4\/5, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 1. Let j be m(3). Let l(r) = r**3 - 7*r**2 - 7*r - 3. Let s be l(j). Is -2 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230*-96148\nAnswer: -22114040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -62*a**2 - a - 18. Let l be j(10). Let v = l - -62203\/10. Calculate the common denominator of 86\/(-44) + 0\/1 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - v**3 + 2*v**3 + (v**2 + 3*v - 3*v)*(4*v - 4*v + 3*v) + (2*v - 3 + 3)*(-v**2 + v - v) + 2*v**3 - 4*v**3 + 3*v**3 + 12 - 12 + 9*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -16.007.\nAnswer: -15.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 70093?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {c: 5, d: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + -1)*-3.\nAnswer: -36*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158\/14 - (6 - (-640)\/(-112))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(-1)*-1. Put 0.5, y, 0.01, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, y, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sndsznzzdnsd. What is prob of sequence sddd?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183*((-10)\/3 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 167*b**2 + 3*b - 21. Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1210, -4868, -10948, -19438, -30326, -43600, -59248, -77258?\n\"Answer: 2*a**3 - 1223*a**2 - 3*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17 = -7. Suppose 8*l + 10 = -y*l. Let h be ((-2)\/(-4)*0)\/l - 0. Solve h = 5*r + 3*u - 29, 0 = -3*u - 2*u + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) 22828 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 127*r**2 + 188*r - 17. What is the units digit of p(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 44. Let h = l + 24. Which is the smallest value? (a) h (b) -4\/3 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 25060752.\nAnswer: -1\/25060752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**7)\/(l*l**(-1\/7)\/l))\/(((l**(-14)\/l)\/l)\/l*l**(3\/8)*l) assuming l is positive.\nAnswer: l**(547\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 - 3 + 3112*h - 5*h**2 - 3067*h = 0. What is h?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11479 = -90*w - 14089 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 89, 50, 11, -28, -67?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-182)\/(-39))\/((-42)\/(-35)*10\/(-3))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11194, -45270, -102072, -181606, -283878?\n\"Answer: -f**3 - 11357*f**2 + 2*f + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w**2*w)\/w)\/w**(-9)*(w**0\/w)**14)**(-24\/11))**(-46) assuming w is positive.\nAnswer: w**(-1104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 13) to base 11.\nAnswer: -1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7964*u + 7760*u + 23664 = 0 for u.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46\/81 - -1738\/5913. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/810 - 2\/27.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 2*f + 18, -4*f = 3*l + 3. Let h be (52\/(-6))\/(l - 2880004\/960000). What is h rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32095750 divided by 137750?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.6 = 48772963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 127934 in ascending order.\nAnswer: 2, 4, 127934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p**2*z**3 + 17*p**2*z**2 - 66445*p**2*z + p**2 - 90*p*z**3 - z + 1 wrt z?\nAnswer: 60*p**2*z + 34*p**2 - 540*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 107732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2691 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from sqssssssssssjjsjscc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 5*g + 8. Let t be h(6). Let r(q) = 1 + t - q + 0. What is r(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 4*t**4 - 5*t**4 + (182 + 117 - 78)*(8*t**4 + 71 - 71) + 7*t**4 + 0*t**4 + t**4.\nAnswer: 1774*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 469, 959, 1775, 2917, 4385?\n\"Answer: 163*i**2 + i + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033521565 to five decimal places.\nAnswer: 0.03352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -21*x**3. Let g(s) = 230*s**3. Determine 2*g(n) + 23*z(n).\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6 + 5*v - 12 + 2 + 0*v + v**2. Let b(o) = 8*o - 37. Let w(u) = 2*u - 9. Let k(g) = 2*b(g) - 9*w(g). Let n be k(6). Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38751*p**2*z**2 + 20*p**2*z + 146*p*z wrt z.\nAnswer: 77502*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193848, 387706, 581564, 775422?\nAnswer: 969280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 - 156*u**3 - 2300*u**2 + 5052*u - 2600 = 0. What is u?\nAnswer: -13, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 356246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5610)\/765*3\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ackcakcakckccacac.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 958 and 968.\nAnswer: 463672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15 and 13686136554?\nAnswer: 13686136539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*f + 3*a + 6, -a - 3 = -f. Suppose f = -5*j - 13 - 7, 2*j + 18 = -5*i. Is -18\/7 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (-60354)\/147 - 8\/14.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.96066cm in micrometers?\nAnswer: 379606.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k - 3*k**3 - 531 + 274 + 3*k**3 + 262 - k**3. Give x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -375774915.16793 - -375269512.97. Let u = v + 505442. Let w = u + -39.8. Round w to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 29 + 4*d**3 + 67 - 3*d**3 as k + t*d**3 + u*d**2 + m*d and give k.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*x + 18, -4*j - x = -4*x + 24. Let r(g) = -3*g + 10. Let k be r(j). Let n = -26 + k. Calculate the least common multiple of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020120221 (base 3) in base 8?\nAnswer: 126212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 3. Let f be o(-5). Let c(r) = -6*r - 5. Let x be c(f). Suppose -i + 12 = g - 0*g, 0 = -3*g - 2*i + x. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1029*k**5 + 473372781*k**4 + 405747594*k**3 + 115927836*k**2 + 11040744*k.\nAnswer: 3*k*(k + 460031)*(7*k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 0.07, 44 in descending order.\nAnswer: 44, 0.3, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -12*n**3\/7 + 46012*n**2\/7 + 138144*n\/7 = 0.\nAnswer: -3, 0, 11512\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**3\/3 - 5. Let l(s) = -2*s**2. Give l(g(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4809*o**3 + 9533*o**3 + 4*o - 6*o**2 + 6*o**2 - 4*o - 4727*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 + 11*f**3\/3 - f**2 + 29*f - 71. Is z(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 111*l + 3. Let f(n) = 9*n**2 - 222*n - 7. What is 6*f(b) + 14*g(b)?\nAnswer: -2*b**2 + 222*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 4. Let m(a) = -12 - 250*a**2 + 123*a**2 + 130*a**2 + 2*a. Let w(c) = 4*m(c) - 11*z(c). Solve w(k) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-16 + 11 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*t = -s + 50, -2*t - 10 = 0. Suppose z + s = 6*z. Solve 0 = -x + z - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1498492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 1\/6*c**3 - 2*c - 1 + 1\/20*c**5 + 0*c**2 - 1\/4*c**4. Let z(g) be the first derivative of n(g). Determine z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.2, 14, -0.3, -0.5, -4, -1.1, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b**3 + 1\/24*b**4 + 15*b**2 + 0 + 0*b. Let i(q) = -2*q**2 - 39. Give r(i(n)).\nAnswer: -2*n**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314412?\nAnswer: 2, 11, 29873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, 385, 1823, 4627, 9253, 16157?\nAnswer: 25795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r - 9. Let l be s(12). Let h = 86 - l. What is the remainder when 18 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80020531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.08904 + 3.086. What is s rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879500 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**2 + 8. Let x(n) = -2*n**2 + 632922. Determine x(c(l)).\nAnswer: -242*l**4 + 352*l**2 + 632794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514908759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393139.9 kilograms to micrograms.\nAnswer: 393139900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 g when four letters picked without replacement from {j: 3, y: 2, g: 1, z: 3, w: 9}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h)\/h*h**(15\/4)*h\/(h*h**(-5))*h\/(h*h*h**(-28))*h assuming h is positive.\nAnswer: h**(119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(16\/(-100))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-965 - -69))\/(2\/12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 105958?\nAnswer: 3072782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195589 - 1195589 - 1920*b**2.\nAnswer: -1920*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.11 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - s - 86 = -97, 3*o + 14 = -0*o - 30*s - 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 164242 to the nearest 1000.\nAnswer: 164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -19 - ((12 - 5 - 14) + -11).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2653*l = -2649*l - 156. Calculate the highest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84804.45ml?\nAnswer: 84.80445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -186.9. Which is the smallest value? (a) 0.31 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 251669 - 251599 = 0. Solve 3\/5*l**c + 33\/5*l + 18 = 0 for l.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091*o = -488*o - 538*o - 455 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 - 210*y**2 + 28572*y + 57960 = 0.\nAnswer: -138, -2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-23 - -28) - (0 + 4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10001011010?\nAnswer: -10001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470\/(1430\/22) + -90?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 0*w + 112 = 0. Suppose -q + 6*f - 3*f = 11, 0 = 2*q - f + 2. Calculate the remainder when q\/4 - 1484\/(-16) is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(t - 3 + 3) + 2*t + 8 - 50 - 3.\nAnswer: 3*t - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 5. Let o be p(7). Let r = 51 - o. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18342794 divided by -6\nAnswer: 9171397\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 26*j + 8. Let w be m(6). Suppose 165*q + 102612 = 492*q - 85086. Calculate the greatest common factor of q and w.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12 + 0 + 12*b - b + 10*b**4. Let o(y) = -y**4 - y + 1. Let v(g) = 2*f(g) + 22*o(g). Differentiate v(q) with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 23. Let f(r) = 3*r + 23. Suppose -12 = a + 2*a. Let w(g) = a*o(g) - 3*f(g). Does 12 divide w(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -26.8, -0.08, 2\/5227?\nAnswer: 2\/5227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206969, 414120, 621271, 828422, 1035573, 1242724?\nAnswer: 1449875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 1. Let y(r) = r + 6. Let s be y(8). Let x = s + t. Calculate the highest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkykykyyyyyky.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35665 is divided by 169.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31628799649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) - sqrt(190)*1))\/((sqrt(20)\/sqrt(2) + sqrt(10))*-6)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(3\/4))*g\/(g*g**(3\/4)*g)*(g**(2\/3))**(-29\/4)*g**(4\/3)*g**(4\/3)*((g*g\/(g*g*(g\/g**4*g)\/g*g))\/g)\/((g*g**(-4)\/g)\/g) assuming g is positive.\nAnswer: g**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:42 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37497457597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {y: 2, u: 1, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -10.1.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/(sqrt(32)\/(1*sqrt(8))))\/(-2*(sqrt(18)*6 + sqrt(2))))**2.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-5*r + 2*r - r) + 1 - 5*r - 1 + (1 - 3 + 4)*(-r - 2 + 2) + 6*r - 2*r - 2*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 46*g**2 - 21*g + 95. Let m be l(15). Solve -2*o = -4*c - m*o + 11, -c + 4*o = 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 3. Let t be k(-3). Let s be (-3 - (1 - 2)) + 2. Let d be 39\/12 - (-2)\/(-8). Solve -d*z = -s*z + t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1396*j - 64208. Determine v(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 97544 + 97187 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10002 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**3*u*w + s**3*u + 2*s**3*w + 3*s**3 + s**2*u*w - 2*s**2*u + 138*u*w + 2*u wrt s.\nAnswer: 12*u*w + 6*u + 12*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 104*k + 25. Suppose -7*w - 1 = -22. Let i = w + 3. Is m(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 6. Let i = 232 - 72. Calculate the highest common divisor of i and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-99)\/(-6)*22\/3. Let a = -84 + d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(5) + 0)*5.\nAnswer: 5 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.88 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 4*t - t**3 - 6*t**3 + 3*t**3.\nAnswer: -4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4 - 573*g**3 + 7341*g**2 + 16413*g + 8496 = 0.\nAnswer: -1, 16, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*m - 97*m - 1 = -3*a, -a + 6*m = -70 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256184.\nAnswer: 2, 31, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*l + 27*l + 621*l - 265*l + 603*l in the form j*l + y and give j.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12 - 2\/(32\/(-4636)). Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.86011 rounded to the nearest integer?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249601?\nAnswer: 37, 33773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 386 and 120656266?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y**3 + 3*y - 11. What is the thousands digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 8:35 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3773*s + 3772*s + 10, -2*d = -3*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 187 in descending order.\nAnswer: 187, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 2*m**2 - 2*m + 1. Let d be q(1). Let g be (-2)\/1 + 7 + -10. List the prime factors of ((-28)\/g)\/(d\/(-10)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17463161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120218375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 91582.455 to the nearest one hundred.\nAnswer: 91600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1. Let w(c) = 3*c - 3. Calculate -9*r(y) - 3*w(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = -136*n - 791 - 415 - 1888 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 443 + 443.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(1\/2). Let u(n) = -n + 8. Let y be u(0). Let x be (v + -2)*y\/(-6). Sort x, -2\/7, -1 in ascending order.\nAnswer: -1, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(23\/(-230))\/((-12)\/(-20)). Suppose 0 - 1\/4*l + r*l**3 + 1\/4*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2841, -1, -51, -2.\nAnswer: -51, -2, -1, 2841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 11*f - 6*m = -13*f - 20, -f + 7 = 2*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -3.98. Let l = -27.13 - -26.83. What is the closest to -1 in l, q, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7043 (b) 0.5 (c) -4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -354928, -354688, -354448, -354208?\n\"Answer: 240*d - 355168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f + 15*f + 216 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2077\/9387 + 1\/1043. Let d be 0 - (-2)\/8 - 126\/(-648). Solve -b*v**2 + d - 2\/9*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/7, 22\/5, -0.2 in decreasing order.\nAnswer: 22\/5, 0, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 = 880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 29. Let k be o(7). Let l(u) = -u**3 - 14*u**2 - 17*u - 17. Let q be l(k). Differentiate 9*p + 13 - 8*p - q with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.086 + -0.149. Let y = 38.937 - g. Let s = 38.5 - y. What is the third biggest value in 1\/11, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*4\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1648 (base 9) to base 5\nAnswer: 20014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from pckckpkpckpkkcppp?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:36 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + w - 4, 301354*w = 2*s + 301351*w + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 454*w**2 - 8 + 1306*w**2 - 2.\nAnswer: 852*w**2 + 2*w - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o = 40*o. Let d(k) = -5*k + o + 2*k - 1 - 7. Calculate d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6835, -14119, -21401, -28681, -35959, -43235?\n\"Answer: d**2 - 7287*d + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 8*m**2 + m - 8. Let z be f(7). Suppose z = -3*g + 135. Suppose -24*q + g*q = 295. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let a = -364.26 + -26.64. Let z = a + 391. Put -1.1, w, 0.4, z in descending order.\nAnswer: w, 0.4, z, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**3 + 28*l - 28*l + (5 - 2 - 4)*(3*l**3 + 2*l**3 - 4*l**3).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 104, -5, -4, 2.\nAnswer: -5, -4, -3, 2, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44090?\nAnswer: 2, 5, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2128 + -4257\/2. Which is the nearest to -11? (a) h (b) 1\/4 (c) -1.9 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003543 rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -33*t**3 - 7671324*t**2 - 445836428949*t - 1053752338158 = 0?\nAnswer: -116231, -26\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-7*((-6)\/(-10))\/(81\/(-18))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 4\/3, 2, -0.2, 5\/559, -0.04?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31181982 and 301425826.\nAnswer: 904277478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 + 29*w - 3. Calculate g(-7).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 113d39 - -1?\nAnswer: 113d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 592549*c. Let z(h) = -2*h. Determine n(z(j)).\nAnswer: -1185098*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 5*j - 60, 4*t = -3*j + 20. Let q = -53645 + 53654. Solve t = q*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11)*((-148)\/(-2738))\/(2\/37).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 71289569521\/(-479) - (0 + 1 + 0). Round j to the nearest 1000000.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-1*6 + 1\/(-1). Suppose 9 = p*y - 1. Suppose 2*v - 848 = -2*v - 4*s, 3*v - 635 = -y*s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**4 - 2*y**3 + 3*y + 38 - y**2 + 2*y**2 - 39 to g*y + d*y**2 + i*y**4 + m + j*y**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24165 and 77149.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 126.565 and 8.\nAnswer: 134.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 3*k + 0*k + (3*k + 3*k - 5*k)*(-6 + 4 + 1) - 3*k + 3*k - k + 3*k + 2*k - k - 2*k - 3*k + 4*k - 3*k + 2*k - 9 + 7.\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 15*y - 10. Let c be r(14). Suppose a + c*m - 10 = -2*a, -5*m + 20 = 0. Sort -4, -5, a.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-26 - (-6 + 14 - 15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 + 2*w - 93. Let r be t(0). Let h = r + 447. List the prime factors of h.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38.92851692211 + -7\nAnswer: 31.92851692211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15744299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 700*n + 24500.\nAnswer: 5*(n + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8318 - 3409. Is 86 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46.7 + -46.2. Which is the smallest value? (a) 7 (b) -0.5 (c) -0.25 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 10 - 9 + 6*n - n**2 + n**2 to the form s + w*n**3 + t*n**2 + l*n and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19221974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p + 6 + 7 - 9 + p**2. Suppose 3*u = 5*g + 55, 3*g = 5*g - 4*u + 36. Is 10 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 4*x - 162. What is x rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -6*-4*sqrt(1331) - (sqrt(1331) - (-4 + (sqrt(1331) - (sqrt(1331) + 3)))))**2*3 + -1.\nAnswer: -11088*sqrt(11) + 2300114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 3*j = -32, 0 = -3*u - 4*j + 25. Solve -3 = -4*a + u*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86.1552 + -92.16. Let n = -5.1 - 0.9. Let m = n - w. What is m rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 + 12810 - 12810 + 2*q**2 + 103*q to the form n*q**2 + u + d*q**3 + k*q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476313.\nAnswer: 3, 158771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) - 2118\/(-14). Suppose -3*a - 2*i + f = 0, -4*a - i + 336 = 128. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 15. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**26*i*i**(2\/51) assuming i is positive.\nAnswer: i**(-1222\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 4. Let f be x(0). Suppose f*u = 21 + 19. Suppose -8*o = -3*o + 5*o - 7*o. Solve 0 = -2*a - o*a + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*z + 34. Calculate the common denominator of 1*(-2)\/(-12)*(-89)\/z and 0 + 2\/(-10) + (-716)\/120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/20*(20 + -19))\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 130 = 40*a. Let o = -7 + 97. Let p = a + o. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + -1. Let l = 15 - 8.2. Let t = -7.1 + l. What is the third smallest value in t, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 5\/2*j**2 + 38*j - 1\/2*j**3 + 7\/12*j**4 + 0. What is the units digit of o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3036249 - -1.4.\nAnswer: 3036250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -227 - 3?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from {l: 11, f: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1200\/(-125))\/((-2)\/(-5)). Let u be t\/(-3) - -18 - 2*2. Which is smaller: 13 or u?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.242 and -0.04.\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*p**3*u**2 + 3*p*u**2 - 517*u**2 with respect to p.\nAnswer: -45*p**2*u**2 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 1. Suppose 3*u - 5*z + 4 = -y, 3*z = -u + 15. Suppose -5*w + 5*j + 30 = 0, u*j - 12 = -2*w - 2*j. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose -3*u + 4*a + 0*a = -30, -f*a + 9 = 3*u. Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = 14*b - 321. Let d(v) be the first derivative of 8 + 9\/2*v**2 - b*v - 1\/3*v**3. Calculate d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1456854 micrograms in nanograms?\nAnswer: 145.6854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53740 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/6? (a) 4 (b) 33 (c) -0.08 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6 - 2. Suppose v - y*u = 16, u - 1 = -5. Suppose v = i - 1 - 2. Solve 2 = -s - i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-5)\/(-3) - (0 - 5). Let a be 7 + (-3)\/9 + (-3)\/(-9). Solve d*x = a*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -1 - 10 - -3. Solve 5*h = -4*g - 4 + 37, s = -g - h + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1856784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373625 is divided by 506?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**7\/1155 + 17*z**6\/33 - 14279*z**5\/165 - 4845*z**4\/11 - 9747*z**3\/11 + 151*z**2. Solve t(g) = 0 for g.\nAnswer: -1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2\/5 + 12*x\/5 - 16\/5 = 0. What is x?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -14 (b) -8 (c) 93 (d) -1\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 49. Let k be p(-11). Solve u + k = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -571 * 0.05.\nAnswer: -28.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 829*f - 2993 = -832*f, 4*c - 2*f = 5930. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 23.9. Let q = n - 0.05. Let m = 0.85 - q. Which is the smallest value? (a) -3\/4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 5*s - 1. Let v be x(4). Suppose -v*a = a. Suppose -4*n + 9*n - 75 = a. Solve 5*g + 5*q + n = 0, -2*g + 29 = -0*g - 5*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {s: 4, v: 1, l: 1, d: 2, a: 1, p: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.98032543 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**3 + 7*p**2\/2 + 2*p - 12. Let s(j) = -2*j + 8. Let k be s(6). Let g = k + 3. Let d(n) = n + 1. Give g*t(v) + 5*d(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 328, 330, 332?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(4 + 1 + sqrt(475) + sqrt(475)) + 4 + sqrt(475)*2*2)**2.\nAnswer: 3800*sqrt(19) + 95722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-12)*44*3*13. Let y = 85 + k. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22993711?\nAnswer: 13, 1768747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 3\/5, 3\/35, -0.2, 0.5?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 6. Give k(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34190 + 68974. What is the greatest common factor of y and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2160 and 143310?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:07 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*r - 2*r**2 + r**2 - 6)*(0*r + 2*r - r)*(r - 2*r - 5*r) in the form i*r**2 + u*r + g*r**4 + p + w*r**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -260, -4, -1, 4, 53 in increasing order.\nAnswer: -260, -4, -1, 4, 27, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3179, -31, -2.\nAnswer: -3179, -31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55, 77, 113, 169, 251?\n\"Answer: s**3 + s**2 + 12*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.3. Let p = d + -0.3. Let c = p + 0.4. Round c to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71148 and 462.\nAnswer: 71148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -d + 13, -3 = 3*d - 0. Let k = u + 57. Calculate the remainder when k is divided by (-234)\/(-45)*(-10)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(sqrt(891) + 1))**2 + (sqrt(55)\/sqrt(20) + sqrt(11) + sqrt(99)*-1)**2.\nAnswer: 648*sqrt(11) + 128543\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g**3 + 6*g**2 + 7*g - 3 - 2*g**3 + 7*g**3 + 7*g**3. Let y be s(-4). Solve -8 = -3*w + y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = -3*c - 2*p, -2*c + 2*p = -6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 7 - (-21 - 7) - -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 4*w - 3. Let y(q) = 11*q**2 + 8*q - 7. Let h(r) = -13*b(r) + 6*y(r). Calculate the remainder when h(-4) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10608071444 - 4.\nAnswer: -3.89391928556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/42*(-9)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 463.8829nm?\nAnswer: 0.0000000004638829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7884 * 0.2\nAnswer: 1576.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**2\/7 + 2379*x\/7 + 35010\/7 = 0.\nAnswer: -778, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - a**4 + 4*a**4 + (-3*a**2 - a**2 + 2*a**2)*(77*a**2 - 155*a**2 - 204*a**2).\nAnswer: 565*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*q - 2673086 = -2685072 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 157 = 4*v, 0 = -4*l - l + v + 277. Let q be ((-34)\/10 - 0) + 22\/l. Which is the smallest value? (a) 1\/3 (b) 0 (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1730*r**3 - 10*r**2 - 8*r + 25. Is t(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/4 - 15*s**4\/2 - 5*s**3\/2 + 135*s**2 - 349*s\/4 - 435\/2 = 0.\nAnswer: -29, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 130. Let c = w - 56.84. Let l = 3 + c. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/7)\/(((-6)\/(-9))\/((-140)\/(-15)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11592 and 890008.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/((9 + -14)\/((-80)\/(-32))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.78764 centimeters to millimeters.\nAnswer: 597.8764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/35 - (-6276)\/14. Let p = -199 + a. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9476460 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, p: 2, h: 2}. What is prob of sequence dp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112663*v - 296794.\nAnswer: -112663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.29, 2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5\/8 - 3*d**4 + 201*d**3\/8 + 399*d**2\/4 - 756*d + 972 = 0?\nAnswer: -9, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351809 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + 41. Let c = a + -491\/4. Let g be 7 - 3*4\/6. Sort g, c, -4 in descending order.\nAnswer: g, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 74*g + 2. Let x be q(37). Sort 4, -5, -10, x in ascending order.\nAnswer: -10, -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -3 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3*q, 2*z - 4*q + q = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 5*z**4\/12 + 22*z. Let s(v) = -2*v - 5. Let i(n) = n + 2. Let x(o) = -10*i(o) - 4*s(o). Give x(d(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 5938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/24 + 2*w**3 + 27*w**2. What is the smallest common multiple of h(0) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -3.047 (c) 2 (d) 0 (e) 6\/11 (f) -0.4 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 7*l**4\/12 + l**3\/6 + l**2. Let j be b(1). Suppose j = -3*h, -h = -2*z - 2*h + 115. 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: Solve 0 = 3317*h - 38171 - 77924 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -260*u - 1420. List the prime factors of i(-27).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m + 4. Let d be -4 + (-12)\/8*-6. Suppose 2*w = 3*p + d, -2*w - 4*p - 2 - 28 = 0. Calculate the remainder when t(w) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -175*t + 3. Let j(o) = 4*o - 6. Calculate c(j(v)).\nAnswer: -700*v + 1053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -p. Solve p = -0*i - i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157 - 1158 - 8*h**3 + h**3.\nAnswer: -7*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*-1*8. Suppose 2*u + w - 33 = v, -v - 77 = -5*u. What is the least common multiple of u and (-63)\/(-35)*(-10)\/(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 219 + 69. Let q be ((-150)\/120)\/((-2)\/u). What is the highest common factor of 228 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 - 6)*(c**2 - c**2 + 2*c**2).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 390, 605, 822, 1041, 1262?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 676*i**4 - 23*i**2 - 2*i - 2 + 669*i**4 to v*i**4 + t*i**3 + z*i + w*i**2 + m and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 4 + -15)\/(36 - 38). Let i be 2\/(-9)*1\/1. Let k = 1 - 2. Which is the nearest to k? (a) i (b) h (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 24*t**2 + 35*t - 10. Let h be z(17). Is h\/((-3 - -3) + 0 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1184703*f**3 - f**4 + 862*f + 3*f**4 + 1184704*f**3 to the form c*f**3 + x + d*f**4 + z*f**2 + q*f and give q.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let s(g) = g - 2. Let w(r) = 4*r - 29. Let b(f) = -5*s(f) + w(f). What is v(b(p))?\nAnswer: 2*p**2 + 76*p + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1455 = -175. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -12.99999998. Round f to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29716279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 10408*s + 6770404.\nAnswer: 4*(s - 1301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*y - 15, -z + 15 = -4*z - 4*y. Let s = -3 - z. Solve 0 = 2*r + 2*a, 0*r - s*a + 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 366\/204007 or -1?\nAnswer: 366\/204007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 3*k + 3*k)*(-2751442 + 2751442 + 11024*k) to the form c + j*k + y*k**2 and give y.\nAnswer: -22048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 6 - 118 + (-3 + 1 - 1)*(-7 + 4 + 13))*(-3*t - 2*t + 3*t)*(3*t - 3*t - 2*t**2) to the form a + d*t**3 + v*t**2 + p*t and give d.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.85 to one dp.\nAnswer: -29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - f - 198316 - 2720823 = 0, 0 = -4*y - 2*f + 5838258. Suppose -925433 - y = -15*x. Round x to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 169200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + (8 - (-1 - -5)). Let r be 5\/(3\/d*-2). Which is greater: r or -16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325*-35.5016.\nAnswer: 11538.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/(50\/(-360)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-2)*6*1. Let v = -6 - c. Calculate the remainder when 61 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13933 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 494051029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360*w**6 + 252*w**2 wrt w.\nAnswer: 43200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-7 - -4) - 169\/(-11)) + -6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-80)*-32)\/((27\/(-90))\/3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735) + 3*sqrt(735) - sqrt(735) - sqrt(735)) + sqrt(735))\/(3*sqrt(3)*2) - ((sqrt(5) + 1 + sqrt(180) + sqrt(320) + sqrt(320) + 0)**2 + -4).\nAnswer: -2642 - 85*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449915223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhti when four letters picked without replacement from htijmiihhjhitjmjh.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3\/5, 117272, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -38\/5*m + 2\/5*m**2 - 8 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e274d - 0?\nAnswer: -1e274d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -143, -239, -361, -515, -707, -943, -1229?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*j**2 + 64*j**2 + 33 + 2*j**3)*(1 - 1 - 1).\nAnswer: -2*j**3 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 29*d**2 - 18*d - 6. What is the hundreds digit of b(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*j + 12, 4*s + 4*j = 25 - 9. Let g be 247\/(-3) + (-2)\/(-6). Is s\/(-2) - (3 + g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = q - 9, 0 = -a - 4*q + 8. Let u be (-3 + 5\/2)*a. Suppose 21 = 5*g - 2*l, -g + 5*l - u = 3. Solve b + 16 = g*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - 51 - (1 - -38)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/40163 and 31\/7.\nAnswer: 281141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.596913t?\nAnswer: 7596.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 28 - 8*1)\/(6\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -35\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-8\/13))**37 assuming s is positive.\nAnswer: s**(777\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 8. Let s(f) = 3*f - f**3 - 8*f**2 - 2*f**2 - f - f + 9. Suppose -6 - 4 = m. Let h be s(m). Let q(n) = 1. Determine h*d(w) - 6*q(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhchhchhccvhhvccch. Give prob of sequence cvc.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 76 + 81 - 52)*(0 + 0 + c).\nAnswer: 2*c**2 + 105*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317\/780 + -1\/156. Let t = 70.3 + -7.5. Let k = -63 + t. Which is the third smallest value? (a) k (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 6 + -5661*2\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 745824 - 126789073\/170. Let p = t - 252\/17. What is the common denominator of p and 37\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/4845*11\/((-341)\/930)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-1 + 6) - (12 - 6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*j - 1019 - 1503 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 41*c - 36*c = -60, -57 + 61 = c for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00080037615 to 7 dps.\nAnswer: 0.0008004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/10 + (-21)\/15. What is the common denominator of 71\/30 and (-4 - (-1183)\/42)*q\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - 4. Let g = 30.72 + q. Let y = g + -0.12. Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109 take away 8947.095?\nAnswer: -10056.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 207198852 a multiple of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1359?\nAnswer: 6795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 614 - 614. Let f be -3 + 198\/(-10) + 0. Let n = -571\/25 - f. What is the second biggest value in n, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + w**4 + 0*w**4)*(0 - 5 + 3) - 13975*w**2 - w**4 + 38*w**3 + 13975*w**2 + w**4 + 2*w**4 - 2*w**4.\nAnswer: -2*w**4 + 38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(135) - sqrt(135) - (sqrt(1215) + -1*sqrt(1215) + sqrt(1215)))\/(-5*sqrt(800)\/sqrt(10)))**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 443*p + 45. Is o(41) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*p + p + 2, -2*p = 3*f. Solve f*a = 3*n - n + 4, -3*n - 3*a = -18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from {r: 4, t: 7, o: 7}?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1*(-216)\/(-108))\/62.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 32 + 62)*(2*y - 1 + 1) + 4*y + 0*y - 2*y.\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 15*f**2 + 15*f - 14. Let n = 11645 - 11629. What is u(n)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -32, -5, 20 in increasing order.\nAnswer: -32, -5, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638 + 719 + 652 + 11*d - 7*d - 2009 + 11*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 2*c - 7365 - 26361. Does 61 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Let d = 2 + z. What is the nearest to 0.2 in 3, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.05 times 0.04?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m. Suppose -5*f + 30 = -15*f. Let d(h) = 4*h. Calculate f*z(v) + 4*d(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75733 or 75732?\nAnswer: 75733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211588873 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(45) - (sqrt(135)*-2 + sqrt(135))\/sqrt(3)).\nAnswer: -4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((0 - -12) + 7)) + -5 + -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/37777 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-8) - (-687)\/(-1832).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 268*v - 18. Let y be q(3). Suppose -n + 4*l + y = 0, 5*n + 4*l - 5945 = -1895. What are the prime factors of n?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7197*j**3 + 7164*j**3 - 21561*j**3 + 7198*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6*z - 4*g - 14, 5 = -g. Suppose -4*m = -z*m - 56. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5876 + 5873. Suppose -3*x - x = 20. Sort 0, p, x, 3.\nAnswer: x, p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 293704.\nAnswer: -7\/293704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5\/3 - 1535*m**4 + 4810*m**3\/3 + 61660*m**2 + 535240*m\/3 + 147520 = 0.\nAnswer: -922, -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/7 + (-1045)\/(-35). What is the second derivative of 7 + 3 - 10 - 16*y**3 - v*y wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1344?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**2 - 70*r**3 - 12*r**2 - 94*r**2.\nAnswer: -70*r**3 - 138*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1 - 1 + 0 + 3*u**2 - 1 - u - 2. Let r(v) = -v**3 + 6*v**2 + v - 4. Let h be r(6). What is the remainder when 19 is divided by d(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71683, -143358, -215027, -286690?\nAnswer: -358347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20623586209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 3*t**2 - 4*t**2 - 3*t + 4*t. Let j be z(2). Calculate the highest common factor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -5*g + 18. Let r(m) = -m**3 - 5*m**2 + 7*m. What is r(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28950374.08 rounded to the nearest one thousand?\nAnswer: -28950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5739717 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -2\/9 (c) 0.3 (d) -2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*v - 25599 = 0, -102496 = -4*t + 852*v - 847*v. What are the prime factors of t?\nAnswer: 11, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 3. Let o = 7 - 6. Let s(i) = -i + 1. Let y(l) = -l**2 - 12*l + 19. Let d be y(-13). Suppose -d*n = -3*n - 9. Give n*s(w) + o*m(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 15216691.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 + 122 + 0 + (6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-364)\/(-39) + -10)*2\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -7\/18*h**4 - 8\/27*h**3 + 4\/9*h**5 + 1\/9*h**2 + 0*h - 33. Find i such that p(i) = 0.\nAnswer: -1\/2, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 9*q + 7. Let m be j(10). Let x = m + 6. Let z = 1 + -1. Which is the closest to -0.1? (a) 0.5 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -b. Let d = b - 0. Let s(n) = -6*n**3 + 6*n - 6*n + 1. Calculate s(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -58*k**3 - k - 1. Let d be n(-1). Let y = d - 41. Calculate the remainder when 49 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 14. Let b be l(-12). Suppose c + 7 = -3*s + 6*s, 0 = -b*c - 5*s + 19. Solve -2*h + 12 = h, c*u - 10 = -5*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-276)\/4140)\/((-13)\/(-10))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = -423 - 3049. Let a = -44 - h. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 2*f)*((4 - 6 + 1)*(4 - 1 - 1) - 3 + 10 + 0).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z**2 - 2 + 0*z**4 + 0*z**3 - 3\/5*z**5 + z. Find the first derivative of h(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 279 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 9 - 32 = 3*j, 2*j + 17 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 31 + 13. Suppose y = 4*v - y - 46, 0 = -j*v + y + 41. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, i: 3}. What is prob of picking 2 a?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {u: 1, r: 1, p: 4, a: 9}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 - 148. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7693*l**2 - 14913*l**2 + 7225*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 1. Let w(m) = -9*m + 3. Let x(j) = -4*w(j) - 7*z(j). Let o be x(4). Let s = 15 + -16. What is the closest to s in 2\/21, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-235850)\/(-320756))\/(2\/68)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*c - 7*c + 92 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 244.000763. What is l rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4855239*u**4 + 11166*u**2 - 218 wrt u.\nAnswer: -116525736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**3*o**2 - 7*g**3 - 13*g**2*o**2 - 5*g*o - 12*o**2 wrt g?\nAnswer: 30*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 18*n - 15*n. Suppose 0 = -b - 2*o + 24, b + 5*o + 9 = 48. Suppose 5*h - 7 - 14 = -w, w + b = 2*h. Is w >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -31*j**2 - 19. Let b(l) = 1. Let s(d) = -5*b(d) + f(d). What is the first derivative of s(t) wrt t?\nAnswer: -62*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/6756527 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 + d + 6. Let x be k(-5). Let s be (-7)\/(x*(-2)\/10). Let c(g) = g**3 - 45*g**2 + 49*g - 186. Let n be c(44). Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 10*l - 9. Let c = 9 + 18. Suppose 3 + c = -5*n. What is the units digit of i(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 660. Suppose -4*t = t - o. Suppose 46*w + 20 = 51*w. What is the highest common divisor of w and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*m**2 + 488*m**2 + 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**3 + 91415176 + 91415178 - 182830356.\nAnswer: -24*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + 198. Suppose 13 = o + 3*s, 0 = 4*o + 3*s + 2*s - c. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -179*s + 1603. Calculate the smallest common multiple of b(7) and 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71580 rounded to the nearest one thousand?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxrxxrrrrrrrrfrrx. What is prob of sequence rxxx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = 30*g - 30. Suppose 6 = -g*w, 2*i + w = 73 + 101. Calculate the remainder when i is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744570569.\nAnswer: 47, 823, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from gzzgzggggzgggggggggg.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 142766520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93702, 165043, 236384?\n\"Answer: 71341*x + 22361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/55)\/((-19)\/(2470\/39))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s**3 + 3*s**3 + (-2*s - s**2 + 2*s)*(0 - 2*s + 0) + 2*s**3 + 0*s**3 + 0*s**3)*(10*s**2 + 0*s**2 + 0*s**2).\nAnswer: 50*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 11. Let w be z(4). Let r be -1 + w + -1 + 35. Let l = r - -161. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373803 is divided by 7671.\nAnswer: 5595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2546017 and -0.4.\nAnswer: 1018406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7763?\nAnswer: 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d7c0 (base 14) to base 15.\nAnswer: 1761d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/6 + (8 - 32\/(-6)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -373, -2, 143, -2\/13, 3\/7, 0 in descending order.\nAnswer: 143, 3\/7, 0, -2\/13, -2, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 1340362206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 100542?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 48*a**2 - 987*a + 35816. Calculate s(54).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -26 (b) -18.3 (c) -1.7 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177695 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5969, 12072, 18175, 24278, 30381?\nAnswer: 36484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 866911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*l + 138, 2*w - 97 = 16*l - 19*l. Find the second derivative of -2*k + 19 - 21*k**2 + 2 + 34*k**2 + w wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 15)*(-14*q**3 - 9*q**3 + 11*q**3) as p*q**2 + v*q**3 + m + c*q and give v.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336561.\nAnswer: 3, 43, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 - o**2 + 330.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, z: 1, j: 3, f: 1}. What is prob of picking 1 e and 2 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*d + 71*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 + 2*w - 11. Let z(u) = 3*u**2 + u - 6. Let i be (-3 - (-1 + -1))*6. Let m(r) = i*y(r) + 11*z(r). Find the second derivative of m(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573\/1485 + (-7840)\/21560.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7\/21 - 5\/((-75)\/1435) and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1.236\nAnswer: -4.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 85, -5, 2, 5, 77 in ascending order.\nAnswer: -5, -2, 1, 2, 5, 77, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 24. Let f be o(7). Suppose 5 = -f*q + 23. Suppose -119 = -q*k + 25. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:05 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 1. Let u(n) = -13*n - 2. Let i(w) = 6*r(w) + u(w). Determine i(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*n + 3*n - 14*n)*(0 + 4 + 0 + 3 + 0 - 2 + 3 + 3 - 5 + (-3 + 5 + 0)*(-4 + 4 - 1) - 3 - 2 + 7 + 3 - 1 - 1) to c*n + b and give c.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 73.9999628. Round i to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -42. Suppose -n = -3*h - 2*f + 19, -f + 5 = 0. Let l = -3 + h. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4663, 5, 0, -4, -1 in descending order.\nAnswer: 4663, 5, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4947907?\nAnswer: 2027, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2850 + -1299?\nAnswer: -4149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*k - 215*k = 219*k + 38*k + 52*k. Suppose 16\/3*b**2 + 16\/3*b**3 + 0 - 4\/3*b**5 + k*b - 4\/3*b**4 = 0. What is b?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e9 + 389cdd?\nAnswer: 389bf4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1088\/20)\/(-4)*5. Let o = r + 202\/3. Let u = 0.6 - 0.7. What is the nearest to -1\/3 in -0.07, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + (-44)\/(-6))\/((-1)\/3). Let y(m) be the second derivative of -3*m**3\/2 - 12*m**2 - m. What is the remainder when y(g) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 1. Let v(s) = -2*s**3 + 7*s**2 + 2*s - 5. Suppose -9*g = -17*g + 40. Determine g*c(n) + v(n).\nAnswer: -2*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14101 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(80) - (5*(1 + sqrt(80)) + sqrt(80)) - (-3*(sqrt(80) + 1*sqrt(80)) + sqrt(80) - sqrt(80)))**2.\nAnswer: -40*sqrt(5) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.22 and 22.518?\nAnswer: 21.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1600, 3201, 4802, 6403, 8004?\n\"Answer: 1601*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 3*w**2 - 9*w + 7. Let n be u(6). Let f = -284000\/13 + 22001. Let s = f + n. Which is the third biggest value? (a) -3\/4 (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 0 - 9 - 8*d to i*d + o and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186359358.\nAnswer: 2, 3, 31059893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 - 122?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 8486*v - 102130. Give k(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 6001 divided by 353\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -275482134.3 rounded to the nearest ten thousand?\nAnswer: -275480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318419.\nAnswer: 318419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242241 + 10?\nAnswer: -242231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = -9*q. Let z = q - -6. Let n(d) = 2*d + 5. Let i(b) = b + 2. Determine z*n(v) - 10*i(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109737 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p + 3*t = -2*p + 3, 4*p = -2*t + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(1\/5)\/v)*v))\/((v*v\/(v\/v**2))\/v*v))\/(v**(-3\/10)*(v**7\/v)\/v) assuming v is positive.\nAnswer: v**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**2*y - 60*g**2 - g - 211*y + 25 wrt g?\nAnswer: 12*g*y - 120*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*q - 11*q + 15*q + (q + 2*q - 2*q)*(0 + 0 + 2)*(1 - 2 + 2).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-9\/5)*(((a\/(a*a**(-2\/7)*a*a))\/a)\/a)**(4\/11) assuming a is positive.\nAnswer: a**(-104\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.4. Let h be ((-1716)\/220 - (-27)\/3)*(-2)\/(-4). Which is the nearest to q? (a) h (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*a + 1, 5*o - 4*a - 26 - 14 = 0. Suppose -5*j + 1 = -o. Suppose -j - 2 = -s. Put s, -0.3, -5 in decreasing order.\nAnswer: s, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3055 - 4453 = 124*f - 2176 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 267384958 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 9, o: 10}. Give prob of picking 3 c.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5888 (base 14) in base 12?\nAnswer: -8b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.5 (c) 0.19 (d) 2\/225 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.1201 + -0.14\nAnswer: 1.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, a: 1, l: 6, q: 7}. What is prob of sequence lql?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4159 + -3.4159. What is the nearest to p in 5, -15, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.32 - -1.3. Put -2\/7, b, 1 in ascending order.\nAnswer: -2\/7, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286546047 to the power of 1\/2, to the nearest integer?\nAnswer: 16928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -357062.791 plus 0.0025?\nAnswer: -357062.7885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1948 - -1950. Let s(i) be the second derivative of v*i**2 + 3\/4*i**4 + 0 - 1\/30*i**6 + 1\/20*i**5 + 11\/6*i**3 + 26*i. Factor s(p).\nAnswer: -(p - 4)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*d**2*i**3*m**2 + 11710*d**2*i**2*m + 601*d*i**3*m**2 - 2*d*i**2*m - 75*i**3*m wrt m.\nAnswer: -56*d**2*i**3 + 1202*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -234236.9?\nAnswer: -234236.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 4*l. Let b be 1 - 1\/((-2)\/4). Let w be s(b). What is the third derivative of 2*r**2 + 0*r**6 + r**w - r**2 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 76*w + 662. Let u be o(-66). Solve 2*j - 6 = 2*d, u*j + 12 = 6*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107892 is divided by 847?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n*n*n**(-2)*n*n))\/(n**0)**9*n**(-1\/2)*n\/n**(-7)*n*(n*n**1)**46 assuming n is positive.\nAnswer: n**(1375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - 103. Sort 0, r, -4, 1.\nAnswer: -4, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734114871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 9379134?\nAnswer: 515852370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s + 1. Let f be w(1). Let x = 38 - f. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 434 and 806.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 + 880*f**3 - 40440*f**2 + 151360*f - 147920 = 0.\nAnswer: 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4775640 divided by -140460.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*z**2 + 3)*(2 - 7 + 0) + 3*z**2 - z**2 - z**2 - 3*z + 3*z - 3*z**2 + z**2 + 20*z - 4*z**2 - 18*z.\nAnswer: 5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106335424.\nAnswer: 2, 13, 127807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001 (base 2) to base 4.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*l**3*m + 91*d**2*m*x - 35510*d**2*x + 185*d*l**3*x + d*l*m*x + d*l + 2*l**3*m*x + 141*l**2*m*x - 12*m wrt d?\nAnswer: -6*l**3*m + 182*m*x - 71020*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(98700\/(-6783)) - (-1)\/(-25)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/50 (b) -1\/170991 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 - 637*a - 192 with respect to a.\nAnswer: -6*a**2 - 637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*i**3 - 6*i - 224*i**3 + 0*i.\nAnswer: -i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(-3)\/(30\/(-12) + -2). Let b(d) = -2*d**2 - 7*d - 2. Let k(z) = -5*z**2 - 20*z - 6. What is c*k(m) - 17*b(m)?\nAnswer: 4*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 12528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-7 - (-3)\/1). Suppose 3*i - m - 580 = a, 188 = i - m - 8. Calculate the highest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (1*(sqrt(108) + 0 + sqrt(108) - sqrt(108)))**2)*3.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-752)\/(-1410))\/(2\/60*-6)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -271452*b**5*y**3 - b**4*y - 3*b**2*y**2 - 3*b**2*y + b*y**3 + 18*b*y + 40*y**3 wrt b?\nAnswer: -16287120*b**2*y**3 - 24*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -495 + 495. Let p(u) = -9*u - 1. Let v be p(-5). Suppose -v = -2*j - 4*m, w = 4*j + 5*m - m - 92. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 5)*(-3)\/2. Let z = -5 - -3. What is the third smallest value in 5, h, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 855999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 865 = -0*l. Calculate the remainder when l is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(3520) + (sqrt(3520) - (3*sqrt(3520) + sqrt(3520)))))\/(sqrt(320) + (sqrt(320) + sqrt(320)*1 - sqrt(320)) - -4*sqrt(80)).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*o + 182, 110 = s + o + 25. What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 36540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-92)\/28 - (-2)\/(-7). Let d be (g - 7)\/(1 - 12\/10). Solve -10 = -5*f, 5*k - 23 + d = -4*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 + -8 + 21 - 7)) + (32 - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*v = 10, -5*g - 4*v + 2*v = -24. Let h = 11 + g. Suppose 5*n - h = 0, 5*n = 2*w - w + 20. Sort -4, -3, -1, w in descending order.\nAnswer: -1, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.3 + 12.1. What is the second biggest value in 2, -1\/3, k, -15\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(8) + sqrt(8) + sqrt(392) + 4).\nAnswer: -18*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 33 - 29 = 0, 2*g + 12 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141232*v**4 + 1199385 with respect to v.\nAnswer: -564928*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 2*c - 1. Let s(k) = 4836*k**3 - 21*k**2 - 15*k - 7. Give 14*f(v) - 2*s(v).\nAnswer: -9672*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4, t = 2*v - 2*t + 12. Is 417 + 4\/2 - v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -51.2. Let v = 15.2 - 19. Let l = n + v. Sort -5, 0, l in descending order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, -105, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10343 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 8*u**3\/3 + 5*u**2\/2 + 10. Find the second derivative of g(c) wrt c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - (sqrt(1872) + ((sqrt(1872) + 2)*-3 - sqrt(1872)))**2.\nAnswer: -16884 - 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.7, 0.4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3460834 to 1 dp.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -673*i**3 + 2*i - 2 + 3 + 675*i**3 as o*i**3 + r*i + p + u*i**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*y - 3 - 4*y + y to r*y + a and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 400 = -342*i + 344*i, -2*g = -i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 37*z + z**3 + 33 - 37*z. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2925 + 2390 - 2881)*(-3*k - 3*k + 4*k).\nAnswer: 6832*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 2, -5*b + 50 = 5*k. Let d(t) = t**3 + 7*t**2 + 5*t + 4. Let w be d(-4). What is the highest common factor of w and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1 + 6 + u + 0*u. Let w(q) = q - 10. Let a be w(6). Calculate k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-261)\/(-6) - (-533 - -533) and -17\/15513?\nAnswer: 31026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 4 - 1 + 3 + 0 + 4*w + 0 + (2*w - 2*w + 2*w)*(1 - 2 + 0).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccksgqqgaaaa. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4616, 2 in ascending order.\nAnswer: -4616, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 0 - 3) + -3. Let j be 8*(u\/8 - -3). Suppose 2*o + 2*p = j, o - 17 + 2 = -2*p. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 455\/6 + -76. What is the third biggest value in 0.3, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6685659 less than -2530.925?\nAnswer: -2531.5935659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237120 is divided by 29219?\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005284 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 5412?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1542*o + 1542*o - 1 + 4*o**3. Let k be 1*(1 + 0 + 0). What is the units digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.8, -7, 95, -2\/5, 2\/17, 1.33 in decreasing order.\nAnswer: 95, 1.33, 2\/17, -2\/5, -2.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2988 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -215. Suppose 56 = 5*n + 2*b, 4*n - d = -3*b + 2*b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19307 - -48970. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 249*p**2\/4 - 1574*p - 25179.\nAnswer: -(p - 218)*(p - 42)*(p + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*(-3)\/156)\/3. Let f(w) = w + 13. Let i be f(-9). Suppose -i*l = 4*h + 12, -3*h + 2*h = 3. Is l greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.109 + 0.259. Put m, -0.5, 3, -1\/8 in ascending order.\nAnswer: -0.5, -1\/8, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 27*x + 22*x to the form p + t*x and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b + b**4 + (1 - 1 - 2*b)*(2*b**3 + 1 - 1) + 30*b - 13*b**4 - 30*b.\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -527 - -552. Find the first derivative of 65*y - 20*y + 211 + a*y wrt y.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18873 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-2*sqrt(11) + 1)) + (sqrt(121) - (-3*sqrt(121) - sqrt(121)))\/sqrt(11))**2.\nAnswer: -16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 430582161 by 5.\nAnswer: 430582161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 2.41 (c) -0.5 (d) 625 (e) 5 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + v = -12, -2*h = -0*h + 3*v - 6. What is the second derivative of -h*i**4 - 5*i**4 - 9*i + 0*i**4 - 4*i**4 wrt i?\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*z + 15, 4*z + 24 = 5*y - y. Put -7, 5, z in ascending order.\nAnswer: -7, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7465 - -7493. Solve -u*x + 74 = -66 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - 3*f. Let w be 3\/9*3 + (-8)\/2. Let r = w - -43. Let g(j) be the second derivative of -65*j**4\/12 + 20*j**3\/3 - 7*j. Give r*v(x) + 3*g(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-425)\/15)\/5 - 51\/153.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 57?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 6518.\nAnswer: -1\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*m + 29 = 0, 3*r + 127 = 3*m + 145 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -834*o + 834*o + 59*o**2 + (0*o**2 + 2*o**2 - o**2)*(0 - 3 + 1) as t*o**2 + j + k*o and give t.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s - 29 = -y - 28*s, -3*s - 314 = -24*y + 5*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (391*b**2 + 399*b**2 - 3*b**3 - 23 - 793*b**2)*((-4 + 4 + b)*(1 + 1 - 3) + 31*b - 3*b + 8*b) as g*b**4 + s*b + p*b**2 + v + x*b**3 and give x.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*(-1 + (-70)\/(-25)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*w - 72*w + 2414 = 8126 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -125 (b) -1\/8 (c) 1\/5 (d) 11\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c381 (base 14) in base 4?\nAnswer: -2023200331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 2*o. Let x = 15 - 14. Let g(n) = n**2. Give x*d(c) + 4*g(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 27*v - 50. Let a be h(-11). Solve 3*f = 6*f - a*x + 4, 5*x = f - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18 - s + 3*s - 4*s. Let f = -85 + 74. Let m be p(f). Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-39) + (22015\/65)\/(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44913\/5567 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 25*w + 71. Give y(13).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/25 - -9\/100. Let z = 0.0023 - 0.0723. What is the second biggest value in d, z, -2\/13, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*7\/(-35) + (-35 - 1). Let g = p - -60. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5501 + -3833. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*g + 3*g + 78*g**4 - 1591 - 1759 + 176*g**4 - 3307 wrt g?\nAnswer: 1016*g**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(4\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d45a3 (base 14) in base 8?\nAnswer: -14153163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + w - 46 = 0, 5*d - 14 = -w + 43. Suppose 4 = -2*g - 2*g, 2*f - d = 3*g. Solve -f*r - 5*n + 3 = 0, 10 = 5*r - 5*n - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19354324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33248 and 9738547?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2184)\/1568 - (2\/7)\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 - 4*g. Give q(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79219\/50 + 1584. Let u = v + -3\/25. What is the smallest value in -2\/9, -2\/5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89997 is divided by 240.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 303 + -297. Let r be 510\/20*m\/(-9). Is r at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (252 - 252 - 63*p**2)*(-p - 2*p + 4*p).\nAnswer: -63*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 55, -3\/8, 0.4, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.16 less than 1?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*s - 3)*(0 + 4 - 6) + 3 + 2*s - 3 - 3 + 3 + s + 0*s - 3*s + 10*s + s + 3 - 4 - 2*s.\nAnswer: 13*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 20475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-6*i + 0*i + 3*i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000134485 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:55 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a - 2*a**3 + 8*a - a + 9*a wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6346, -12729, -19116, -25501, -31878, -38241?\n\"Answer: y**3 - 8*y**2 - 6366*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(68)) + 0)**2 + sqrt(17) + 3 + sqrt(272).\nAnswer: 20 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1772*m - 140 = -1786*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476350, -476349, -476348, -476347?\nAnswer: -476346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5458435 is divided by 1937?\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 2*k + 3. Let g(t) = t + 2. Suppose n = -3*j - 6, 5*n - 29 = 5*j + 1. Let u(r) = j*g(r) + 2*b(r). Find the second derivative of u(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+735\nAnswer: 735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48257\/1668 - 363648287\/16680. Let i = -21770 - t. Calculate the common denominator of i and ((-202)\/(-72))\/(-1)*-3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 - -448?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.663921 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 16, 71, 170, 325, 548?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 17)*1\/3. Suppose 0 = -3*b + w - 44, 0 = p*b - 8*w + 3*w + 44. Let l be b\/12*(-2 - 1). Solve 5*y = -4*q - 0*y + 45, -5*q + 5 = -l*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3920 divided by -98?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*i + 72*i + 315. What is the least common multiple of 14 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*h - 3266, -3*q + 4040 + 863 = -4*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 + (33 - 26)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2487 + -6?\nAnswer: -248d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/68*164\/(-48). Let k = h - 6\/17. Let m = 0.7 - 0.4. Which is the biggest value? (a) 0 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*a*h**6 - 286*a*h**2 - a*h + a + 45565*h**6 + 2*h**2 - 3*h wrt h.\nAnswer: 5520*a*h**3 + 5467800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4, 2*m + 4*u + 4 = 5*m. Suppose 0*s + s + 1 = m. List the prime factors of 2 - (s + 3) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10920, 21865, 32868, 43959, 55168, 66525, 78060?\nAnswer: 89803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from elleeelelelel.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -166, -171, -176?\n\"Answer: -5*w - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)\/(l**(4\/3)\/l)*(l**2\/l)\/l**(-10))**(-20) assuming l is positive.\nAnswer: l**(-632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 7*m. Let f = 10 + -24. Suppose 22*d = 17*d - 20. Let u(r) = r**2 + 2*r. Calculate d*k(w) + f*u(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, p: 1, q: 4, r: 1}. What is prob of sequence rc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10413\/37 - -3502061\/12432. Calculate the common denominator of b and -9\/64.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1541237 and 340?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2\/13*r**5 + 0 + 10\/13*r**2 + 6\/13*r**4 + 18\/13*r**3 + 0*r = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + 1. Suppose 0 = -3*d + 5*d - 50. Let s = 24 - d. Let i(f) = -7*f**2 + 5*f - 1. Let h(w) = s*i(w) - m(w). What is h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r - 87 = 247 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013558 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose -7*q + 58 = -82. Suppose 3*h + 6 = m + f*m, 0 = 4*m - q. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**3 - 2 + 0*t - 4*t + 13*t**3 - 2*t**4 + 6*t as f*t**4 + v*t**3 + o*t**2 + b + r*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6230000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w - 2*g, 15 = w - g - g. Solve 2*r = r + 2*z + w, -8 = 5*r + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6683 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -1\/15*n**5 + 0 - 1\/24*n**4 + 2*n**2 + 0*n - 1\/6*n**3. Give m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/6)*b\/((((b**16\/b*b*b*b)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - (2 - 9) - (-7 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 157.0055. Round m to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5547775 divided by -1109555?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 - 2*r**2)*(76*r**2 + 80*r**2 - 37*r**2)*(0*r + r - 2*r).\nAnswer: 238*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqha when four letters picked without replacement from hahalahqqhlh.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/125)\/((-1)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 42*q**2. Let u(p) = 14*p - 27*p**2 + 18*p**2 - 14*p + 45*p**2. Give d(u(m)).\nAnswer: 54432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66314, 66313, 66312?\n\"Answer: -y + 66315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/91 and 56\/67301715.\nAnswer: 471112005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:54 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 at most -2626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 34. Let y(k) = k - 11. Determine y(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a0 (base 12) to base 16\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 3216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -21*r + 182 + 40. Suppose 3*b - 89 = -0*t - t, 276 = 4*t - 4*b. Calculate the greatest common factor of r and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13673.7 weeks?\nAnswer: 8269853760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 - 150*h\/7.\nAnswer: -2*h*(h + 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) - (sqrt(280)*2)\/sqrt(8)))\/sqrt(5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 71*i**2 + 35*i - 2. Let b be x(35). Suppose -3*z - 17 = -14. Sort 13, z, b in ascending order.\nAnswer: b, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.8 - 60. What is the closest to 2 in x, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 1) + (-3 - (33 - 16)) + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 - 18*r - 80. Give u(-6).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/8 + l**3\/6 + 7*l**2. Let g(a) = -7*a + 3. Calculate 2*g(z) - 5*q(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 94 - 54 = 0. Sort 0, 7, v.\nAnswer: v, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14041 - 103?\nAnswer: -14144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96653129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498 divided by -480?\nAnswer: -1249\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9 + 10)*2*49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4329 = -3867*g - 39142 - 18401 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubzuzbbuzubuq. What is prob of sequence uuu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*o + 2. Let c be 14\/(-3) + 10\/15. Suppose -4*w - 2*k = 6, -w - 4 = -2*k + 5. Put w, o, c in decreasing order.\nAnswer: o, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088204303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -6, -2\/9, 0.336, -0.107?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, y: 2, z: 1, e: 1, s: 1, m: 5}. What is prob of picking 1 z and 2 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -62978 - 0.4\nAnswer: -62978.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 37*d**2 - 3*d + 148. Give z(37).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*187180709.\nAnswer: -935903545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 361. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 458089, 458108, 458127, 458146, 458165, 458184?\n\"Answer: 19*m + 458070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 + 5*y - 3. Let v(q) = 3*q**3 - 4*q + 2. Let j(m) = 4*m + 5. Let z be j(-2). Calculate z*v(o) - 2*i(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 5*q - 3. Let o be (12\/(-36))\/(2\/(-18)). What is b(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10383?\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 402 - 192 - 207 - 3*j. Suppose 10 = -4*y - a, y + 5*a = 2*y + 13. Let p be g(y). Is 12 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 4*j**2 + 5*j - 1. Let x be w(5). Let t(l) = l**2 + 4*l - 8. Let c be t(-6). Let d be 0\/(-1) + c\/(-9). Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3983 rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -90470955243 and -187.5?\nAnswer: 90470955055.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 8) in base 9?\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 799093.1 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*i + 2*i + 35 = 0, -3*m - 5*i = -61. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2342868\/421 + 5565. Let v = a - -2559\/4631. Is 2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7500 and 73104?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 1469*p**4\/4 - 1076*p**3\/3 + 1200. Find the third derivative of z(l) wrt l.\nAnswer: 8814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16787244 divided by 1398937?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -315 less than or equal to -312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/4 - 2*r. Let u be d(-1). Let t(l) be the third derivative of -l**4\/24 + l**2. Determine t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8872563, -8872558, -8872553, -8872548?\n\"Answer: 5*o - 8872568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x - 1, 5*x - 75 = -4*y. Suppose 89 - 121 = -4*z. Calculate the greatest common divisor of y and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*y + 3*j, 388*y + 16 = 391*y - 4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, 4, -3.8 in descending order.\nAnswer: 4, 2, -2\/3, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x, 5*v - 271 = 5*x + 154. Suppose 0 = -3*u + v + 26. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/108 and 17\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 14) to base 9\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208213\/3 - -69407. Determine o so that 0*o - f*o**3 + 2\/3*o**4 + 2*o**2 + 0 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q)**(-8)\/((q*q**(-15)\/q)\/(q*q**(-27))) assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v - 40*v + 2 = 2*g, 0 = 2*v + 2*g - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/3 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 l when four letters picked without replacement from {c: 2, y: 4, l: 3}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 23 = 83. Suppose d*f = 32 - 20. Solve 6*p - 9 = f*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -40175\/769?\nAnswer: -40175\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r**2 - 1. Suppose 0 = -v - 3 + 4. Let b(m) = 5*m**3 + 3*m - 6. Let j(p) = v*b(p) - 4*n(p). Determine j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1\/3*u**3 - 2*u + 0*u**2 + 0. Let b(w) = -7*w. Let t(l) = -20*l. Let s(a) = -11*b(a) + 4*t(a). Calculate r(s(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/127281 and -64\/26999?\nAnswer: 890967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 9 + 9)*(0 - 2 + 3 + (-3 + 3 + 1)*(-2 + 0 - 1) + (-2 + 2 + 2)*(2 + 0 - 3)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 8) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 69*w**2 - 5*w - 5. Suppose 0 = 9*n - 966 - 1134 + 768. Let j(g) = 2035*g**2 - 148*g - 148. Calculate n*v(q) - 5*j(q).\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = 44. Suppose i*j - 4*j = -n + 22, 4 = -4*n + 3*j. Suppose 54 = 4*s - n. What is the greatest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1260 divided by 30\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 4 = -11*r, -p + 14 = -3*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267*b**3*d**3 + 135*b**2*d - b*d**3 wrt b?\nAnswer: -1602*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.66, -0.5, -3\/2, 11 in increasing order.\nAnswer: -8.66, -3\/2, -0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7992.7 rounded to the nearest 100?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p**(-16))\/p)\/((p*p*p*p**21)\/p))\/(p**(-11)\/p**(-13)) assuming p is positive.\nAnswer: p**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-140)\/(-56) - 6\/2. What is the second smallest value in t, -506, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779454606?\nAnswer: 2, 5657, 157279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 11264\nAnswer: -45056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11912491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0, 1488\/5, -1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-284)\/994?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39914314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -13. Let g be z\/(-8) + (-9)\/6. Let h(c) = c - 5. Let v(x) = 1. What is g*h(n) - 2*v(n)?\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -339907.9?\nAnswer: 169953.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*10*4\/8. Suppose -42 = -2*t + 4*t. Is 17 a factor of (t\/(-12))\/(n\/(-380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2614 is divided by 154?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a**3*f - 2*a**3 + 49353*a**2 - 768*f**2 wrt f?\nAnswer: -8*a**3 - 1536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9287197 is divided by 662?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 2. Let d be i(-3). Let r = d + -1. Suppose m - 4*t + t + 20 = r, 2*m + 4*t = 10. Put 2, m, 4 in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421277124 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68143869 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Let i = -2.6 - -2.7. What is the nearest to -1 in -1, a, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - 72?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1970)\/(-15))\/(299\/(-390) - 2\/(-20)). Sort -1, 1, t in descending order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.09\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245384 and 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 20 = 3*i, -10*l = i - 11*l - 10. Suppose -10*p + 5*p + 5*b = -7870, i*p = 2*b + 7870. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4352, 155, 3, 4 in ascending order.\nAnswer: 3, 4, 155, 4352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7812596, -7812595, -7812594, -7812593, -7812592, -7812591?\nAnswer: -7812590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/9 - 7000*j**2\/9 - 21028*j\/9 - 14024\/9.\nAnswer: 4*(j - 1753)*(j + 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*m + 38*m + 1752. Suppose m = -q + 3*q. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -692, -1108, -1524?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226 + -229. What is the nearest to -1\/4 in f, 1\/6, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 - 5. Let t = -3.96 + -0.04. Put t, -3\/4, n in decreasing order.\nAnswer: n, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538589 is divided by 7594.\nAnswer: 7009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423525*d**2 - 84705*d**2 - 84710*d**2 - 84706*d**2 - 84714*d**2 - 84692*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/9*216\/1608. Is j > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 4*i + i**2 + 4 + 5. Let w be q(8). Let z = 31 - w. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - -0.02. What is the nearest to 2\/7 in -4, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 862 and -393 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*t + 6, -6*x + 2*x = 2*t - 8. Let p = 7 + x. Let l = 37 - p. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let t(z) = -219780 + 219780 + 1155*z. Determine t(q(m)).\nAnswer: -2310*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54642 is divided by 3309?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 51*a**4\/4 - a**3\/2 - 31*a. Let w be d(2). Find the common denominator of -69\/28 and ((-3)\/(-6))\/((-6)\/w).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Suppose 4*t + 12 = z*t. Let w = t - 14. Which is the nearest to 0.1? (a) 0 (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(75)*-1)\/sqrt(5))\/(sqrt(30)\/((sqrt(96)\/sqrt(2))\/sqrt(8))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1969496 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16307713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 95, 4*h - 22 - 54 = -o. Let b = -4 + h. Suppose 2*x + 0*x + 2*i = 20, 0 = 4*i - 20. What is the greatest common divisor of x and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 31. Let q be c(-23). Let p = 149 + q. Let w = 18 - 7. What is the smallest common multiple of w and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.25 or -1\/114149?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Solve 0 = -h*g + t + 29, -2*g - 2*t = 3*t + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32925 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 6*t**2 + 17*t**2 + t**2 to the form r*t**2 + f + d*t and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2, 28.\nAnswer: -2, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2145 - 11?\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/313 or 0?\nAnswer: 1\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/1977 (b) -6\/61 (c) 5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 94*g + 22 = 97*g, 24*o - 21*o = 2*g - 31 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -693758\/189 - -22025\/6. Let z = g - -2\/189. Suppose 6*m - 2*m = -n - 18, -4*m = -3*n + 26. Sort -1, z, n in ascending order.\nAnswer: -1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**2 - 8*j - 13*j**2 - 25*j**3 - 2*j + 18*j**4 + 26*j**3 + 0*j to g*j**2 + m + l*j + b*j**4 + w*j**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:21 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -24\/7 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 176. Suppose -2*y + 30 = f. Let b = y + -38940. What is b rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 15765403 + 15765403.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2751 != -1473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-20) - -1) + 3\/4. Is 3 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 4*r + 10. Give v(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(-2*(sqrt(343) + 3*sqrt(343)) + -2*(sqrt(252) + -4)))**2 + -2.\nAnswer: -54400*sqrt(7) + 1621598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - i = -3*n, 4*i - 2*n = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(3*n - n + 0*n)*(-3 - 3 + 4)*(4 - 2 + 0).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/8 + 31953*r\/8.\nAnswer: -3*r*(r - 10651)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-66)*-121 - (-112)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 11}. What is prob of sequence ci?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-10)\/10*2\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, 1, 73, 181, 331, 529, 781, 1093?\n\"Answer: z**3 + 9*z**2 + 8*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3098\/7 - -1465355\/3311. Let s = y - 13847\/3311. Find the common denominator of 65\/8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-728)\/(-13))\/28)\/((-6)\/45).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15244.739238 to the nearest 100.\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 15 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3176734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*n + 4*n = 7, 0 = -w + 2*n + 13. Solve 4*d = -a, w*d = 2*a - 0*a - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (416\/(-78))\/(4\/(-42)). What is the greatest common divisor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let i = 3 - 3.1. Let p = 6.3 + -6. Which is the nearest to i? (a) p (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110a16 (base 13) in base 11?\nAnswer: -254778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58905970 to the nearest integer?\nAnswer: 7675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Suppose w = -4*q - 6, -w + 2*w = v*q + 1. Let g(j) = -30*j + 1. Does 16 divide g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(272) + 1 + sqrt(119)\/sqrt(112)*-2.\nAnswer: -33*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 21 = u - 4*x, -2*u = 4*x - 34. Solve 0 = 33*n + 189 + u for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -274.292 to the nearest integer.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*h + 224, -4*h + 131 = 5*f - 111. Let p = f - -58. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 0*i - 15\/2*i**2 - 3. Let g be w(-1). Solve -4*v - g = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -12 - -4 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8073*66.\nAnswer: 532818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -548*w + 15358. What is d(28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -489 - -494. Put y, -3\/5, -117 in descending order.\nAnswer: y, -3\/5, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 3611*m**2 - 435750*m.\nAnswer: -m*(m + 125)*(m + 3486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(j\/(j\/(j**(-1\/4)\/j)))*j**(3\/2)\/(j\/j**(-7)*j))**(-6\/17) assuming j is positive.\nAnswer: j**(351\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 58. Suppose 0 = j*n + 286 + 86. Let x = 43 - n. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8749140.\nAnswer: 2, 3, 5, 145819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3)*((-4)\/12 - 0). Solve a + 2*v = -a, i = -a - 5*v + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 4802765*q**2 + 4802795*q**2 - 3.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-582242)\/(-220) + (-2)\/(-5). Let v = 2646 - c. What is the common denominator of v and 33\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -33225230?\nAnswer: 33225223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o - 3*o + 31*o - 3)*(0*o + 5*o - 3*o)*((-1 + 1 + 1)*(0 - 1 - 1) + 2 - 2 + 1 + 0 - 7 + 4 - 3 + 7 - 2).\nAnswer: -52*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = -3*a + 118, 3*k + 197 = 5*a. What is the remainder when a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27825 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-21 + 8 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627992024?\nAnswer: 2, 3, 7141963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (2 + (6 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b. Let t(c) = -1. Let w(n) = -k(n) - 6*t(n). Let a = 22 + -28. Calculate w(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-4 - (-44)\/12). Let j be 108\/96*2\/(-3). Sort -3, j, k.\nAnswer: -3, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2347240 by -83830.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.0124 + -24. What is o rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766892.\nAnswer: 2, 7, 61, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48085.\nAnswer: 5, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 40c783?\nAnswer: -40c784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 + 3*u. Let x(y) = -11 - 17 + 39 - 11 + 7*y**2 + 2*y. What is 6*w(o) - 5*x(o)?\nAnswer: o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**2\/2 - 9*o + 1417. Let v(i) = -4*i + 28. Give 7*t(y) + 2*v(y).\nAnswer: -y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/5 - 12*q**4\/5 + 64*q**3\/5 + 1182*q**2\/5 + 3537*q\/5 + 486 = 0.\nAnswer: -9, -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370374 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(19)))**2 + 0.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-12) + 2062\/(-12))\/((-64)\/128). Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 1967 - 2021 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.519 and 11.7.\nAnswer: 6.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111111000011101 (base 2) to base 10.\nAnswer: -97821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {f: 1, r: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7234 - 57953\/8. What is the common denominator of (13 - 550\/40) + (-9981)\/936 - -11 and b?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let l(v) = -3319*v**2 + 2*v. Determine l(z(k)).\nAnswer: -3319*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:47 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613758 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193 (base 13) to base 2.\nAnswer: -100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 17*a + 33. Let s be r(11). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17875 and 1822535?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25672 divided by -8\nAnswer: -3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 5*y**2 + 3*y. Let t be z(-4). Let i be (-28)\/(-24) - t\/6. Which is the nearest to 0? (a) 3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1439.485 litres to millilitres.\nAnswer: 1439485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 11022560.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872180491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3672.93 + 3652. Let h = 21 + d. What is the fourth biggest value in h, 2, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(-3)*k**(-2\/21)\/(k\/(k*k*k**(-9))))\/((k**2*k*k)**(-41)*(k\/(k**(-9)*k*k))\/k*k*k*k**6) assuming k is positive.\nAnswer: k**(2980\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-9) + 2\/9. Suppose 2*f = -p*f + 8. Suppose 0 = -3*c + n - 107995, -f*c = -n - 4*n + 71975. What is c rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*a + 11 - 3, 2*a = -h. Let y be 6 - h\/((-6)\/(-3)). Suppose -3*g + 2*j = 5*j, 2*j = -y. What is the least common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450595*n**2 + 450453*n**2 - 901054*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -3715 - -3715.1. Let d = -0.23 + 0.2. Let z = d + -3.97. Which is the nearest to y? (a) -0.06 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmxp when four letters picked without replacement from fmmxxxpxxpfkfxxxxxxx.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.1, -1\/6, -257743?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 20 = 0, 1 = -5*c - 3*t - 26 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)**49)**(1\/5))**(22\/5) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21954 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/5006694 and 127\/18596292.\nAnswer: 130174044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -4 (c) 98 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*t + 463309 + 1067347. What are the prime factors of t?\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiiioikikko. What is prob of sequence kiii?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + t**3 - 844816*t**2 + 844811*t**2 - 4 + t. Calculate r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3168, -2961, -2756, -2553?\n\"Answer: -a**2 + 210*a - 3377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (-157 - -184).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65706?\nAnswer: 2, 3, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001423 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, -37, -463, -887, -1309, -1729, -2147?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13009972, -13009968, -13009962, -13009954?\n\"Answer: m**2 + m - 13009974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 12*f**2 - 8\/3*f**3 + 0*f + 0 - 1\/6*f**4. Let z be y(-5). Solve 4*d + 3*a + 8 = 0, -d - z*a = 3 + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 27. Let u = o - -91. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*r**4 - 261*r**3*s + 862*s wrt r.\nAnswer: -12*r**3 - 783*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/3 - (1 - 0). Are -10 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -234. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a + 393. Let b be u(-51). Let m be (-187)\/(-1845) - (-5 + 184\/b). Is -2\/7 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*f + 18, -5*o + 15 = 3*f - 1. Let j(q) = 7 + 4*q - 5*q + f*q. Let t be j(-3). Solve 6*i - t*i = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 25*t + 8. Calculate the smallest common multiple of 17 and t.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 6, j: 10}. What is prob of sequence mw?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + -3. Let k = u + 14. Let h be (k + -3)*6\/16. Which is the third smallest value? (a) -4 (b) 2\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(375\/(-100) - -12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1463 + 554 + 394*d**4 + 200*d**4 with respect to d.\nAnswer: 2376*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.5 - 17. Let y = -5938\/35 + 1182\/7. Sort -0.2, r, -15, y in decreasing order.\nAnswer: r, -0.2, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6644 or 6646?\nAnswer: 6646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**4\/c))**18)**(-4\/3)\/(((((c\/((c*c**(1\/2)*c*c*c)\/c*c))\/c)\/c)\/c)**(-4\/7)*((c\/(c\/c**(1\/2)))\/c)**(-5)) assuming c is positive.\nAnswer: c**(249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 854 and 9028.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 15. Let b(h) = -w + h - 2*h + 0. What is the units digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(((-2)\/24)\/(-1)). Suppose 2*j - 3*j + 4*z = -q, -2*j + 2*z = -36. Calculate the lowest common multiple of j and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/71 - -67\/3266. Let j = 34\/23 - v. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1242 - -0.0342. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/120 and 94\/75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 - (-6 + 7 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(154)\/sqrt(7) + sqrt(22)) + sqrt(22))\/(3*sqrt(11)*3).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 14 - 329. Calculate the highest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1047*l**2 + 476*l - 396*l**3 + 460*l - 936*l wrt l?\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, 737, 15 in ascending order.\nAnswer: -5, -3, 3, 15, 737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4834*t + 169192. Give a(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -16) + (145 - (-30 - -155)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.254 + 1.954. What is the second smallest value in -2\/3, d, 3\/5, -2.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4292*w**3 - 2096*w**2 - 2 wrt w?\nAnswer: -25752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 24*a - 2. Let k(s) = 3*s - 3*s - 8*s - 1 + s**2. Let y(p) = 6*c(p) - 17*k(p). Let o be (-5)\/(2*3\/(-24)*4). Calculate y(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -4 (b) -3 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 5. Let d be t(-4). Suppose -2*h + 2*y - 12 = 0, -h - y - 2*y + 14 = 0. Let p be (2 - 2)\/h*d. Are -2\/63 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s**4 - 132320*s**3 - 619500 with respect to s.\nAnswer: -20*s**3 - 396960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 9*r**3 - 938*r**2\/3 + 2220*r - 9800\/3.\nAnswer: (r - 10)**2*(r - 2)*(r + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66659.99 years to millennia.\nAnswer: 66.65999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25820, -25791, -25762, -25733, -25704, -25675?\n\"Answer: 29*m - 25849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*m = 539*m + 294 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.027 + 0.127. Which is the nearest to -0.1? (a) -1 (b) i (c) 6\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/33948520 and -1\/6789704.\nAnswer: 33948520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13d + 5ac97?\nAnswer: 5add5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -1022100?\nAnswer: -1022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4703 (base 11) to base 7.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/2*16\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*m = 23, 47*i + 3*m = 50*i - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b76 (base 12) to base 5.\nAnswer: 131010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:06 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(2\/9))\/y)**(-3\/13))**(-3\/14)*((y*y**(-3))**49)**12 assuming y is positive.\nAnswer: y**(-107017\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*q**2*u - q**2 - 208*q*u - 4*q - 10*u + 1399 wrt q.\nAnswer: -10*q*u - 2*q - 208*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5*(sqrt(117) - sqrt(117)*-2)*-2 - (1 + -1 + 0 + sqrt(117)))**2 + 3).\nAnswer: -337320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8*f = 3*f + 160, -3*z - 120 = 3*f. Let u = -24 - z. Suppose u = 2*o - 0*o. Solve -3*p - 2*j = 8, 5*p = j - o*j - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -16. Let o be -2 + 0 + 54\/v. Suppose -5*w = 3*f + 21 - 7, -5*f - o*w = 6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*x**3 - 265*x**3 - x**2 + 134*x**3 - 151*x to the form m + t*x**2 + v*x + i*x**3 and give v.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 3. Let y be f(5). Let n = y + 11. Suppose 0 = n*v + 2*v - 1255. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -228, -1893, -6412, -15213, -29724, -51373, -81588?\n\"Answer: -238*z**3 + z**2 - 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/5757 and 47\/145844?\nAnswer: 437532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -48547410 divided by -9709482\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 2090?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h - 448. Calculate k(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.69, 2\/17, 0.1, -1?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:45 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26046473759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**2 - 13*i**2 - 6*i**2 - 29*i**2 to l + b*i**2 + c*i and give b.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 - 13*y - 13. Calculate d(-10).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 46425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 972.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5, 271 = 4*y - p - 64. Suppose -12*m + y + 59 = 0. What is the greatest common divisor of m and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 106, 3?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 - -0.3874.\nAnswer: -135.6126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326 and 33216466?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12566 - 12512. What is the lowest common multiple of y and 168?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2349 and 43322607.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = -18*y - 56 - 135. Let l be (-1 - 3) + (-1 - 0). Sort l, y, 3, 3\/5.\nAnswer: y, l, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 55, 69, 77, 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*l + 468. Let z = l + 245. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 15. Suppose 0 = -o - 10 + k. Factor 1\/4*q**5 + 0*q**4 + 0 - 1\/4*q**3 + 0*q + 0*q**o.\nAnswer: q**3*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/((-4)\/(-492)) - -2. Let o = z - -98. What is the smallest common multiple of 4 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 63. What is the remainder when f is divided by 6 + 3 + 4\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-9 - 1) + -116 + 71.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 35937297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 + 13*n**3 + 2*n**4 - n**4 + 19 + 14*n**4 - 19 - 3*n**4 - 3*n**4 + 5*n**4 + (1 - 1 + n)*(0*n**3 - 5*n**3 + 4*n**3) + 0*n**4 - 4*n**4 + 2*n**4.\nAnswer: 11*n**4 + 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 0.5. Let w = f + 0.69853. Round w to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - -2) + -1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*a + 14*a + 713 - 173 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 4. Let g be ((-16)\/28)\/(2\/7). Let w(d) = 4 - 23 + 9 - 6 + 11 + 9*d. Determine g*w(t) + 3*c(t).\nAnswer: 6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7618339 or 76183387\/10?\nAnswer: 76183387\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1 + -2)**2 + 3.\nAnswer: -2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 920260723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(200))\/(sqrt(36)\/sqrt(36)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 7*n**2 - 6*n + 4. What is the smallest common multiple of (-2 - -1)\/((-5)\/110) and f(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 26 + 2*y**3 - 32.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2162543*u + 2162480*u + 63 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -28*s + 16*s + 11*s**3 - 2 - 2*s**2 + 9*s. Let h be y(-1). What is the units digit of 1 + 494\/6 - (-4)\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468373 - i**2 + 234162 + 234211.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 10) to base 4.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -310 - -84. Let r = 321 + p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**8\/20160 - d**7\/560 + 11*d**6\/720 - 13*d**5\/15 - 3*d**2 + 6. Let v(a) be the third derivative of s(a). Give v(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 15. Let v(l) = 4*l**2 + 4*l. Let q be v(m). Calculate the greatest common factor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 48*j + 2442. What is b(-51)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 732*z + 3. Let i(o) = 1471*o + 5. What is 5*d(u) - 3*i(u)?\nAnswer: -753*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 20946539364 and 0.003.\nAnswer: 20946539364.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38572987.\nAnswer: 29, 1330103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {y: 7, s: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 1097*d**6\/30 - d**5\/10 - 2*d**3 - 26*d**2 - 6428*d. Find the second derivative of u(c) wrt c.\nAnswer: 13164*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.5. Let a = 5 + -33. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485556 is divided by 40279?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 36*l - 2. Let r(p) = -24*p + 1. Let c(n) = -5*j(n) - 8*r(n). Suppose -2*g + 222 = -0*g. What is the remainder when g is divided by c(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -4 + 0\/1. Let j be 1\/i*0 - 3. Let p be ((-125)\/j)\/(2\/(-39360)). Round p to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110010101 - -101?\nAnswer: 1000110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (48104\/(-8590))\/(0 - (-3)\/(-15))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 28. What is the third smallest value in 4, 3, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulii. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15*-87\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 731, 1044, 1861, 3434, 6015, 9856, 15209?\n\"Answer: 42*t**3 + 19*t + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.121 - -0.121. Let z = -73.1 - j. Let t = -7.83 + z. What is the smallest value in -2\/9, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2750*f**5 - 2*f**3 + 76*f**2 - f + 19?\nAnswer: 165000*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 17\/4, -17, -1\/5?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 + 13*c - 3649 - 9*c - 4*c - c in the form z + q*c and give z.\nAnswer: -3555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 26*p + 18 = 0. What is the third derivative of -23*d**2 - d**2 + 3963*d**p - 3905*d**3 - 12*d**2 wrt d?\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2522 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320141234 + 20?\nAnswer: -320141214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.39603 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*r - 519 - 230 = 0, -2261 = -3*k - r. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:13 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 3, 4, -3 in decreasing order.\nAnswer: 34, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l - 99. Let y(f) = 5*f**2 + 601. Calculate x(y(c)).\nAnswer: -35*c**2 - 4306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -685*c. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 4, z: 3, l: 4, b: 1, n: 6}. Give prob of sequence nb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + m**3 - 7*m**2 + 2 + 6 - 7*m. Let f be (-2)\/4*(3 + -19). List the prime factors of c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -4 + (3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let g = 7.4 - x. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, f: 1}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000798 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20880364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11*(-4)\/(-20) - -2. Which is the closest to -1\/11? (a) 1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbbbtiw. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 2*v**2 + 5*v)*(-26 + 11 - 16).\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**5 + 52182*z**4 - 228006900*z**3 + 9512511816*z**2 - 122056744320*z + 496801641600 = 0.\nAnswer: 10, 22, 8676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let x be ((-1)\/(-8) + (-4338)\/38160)*(0 - 1). Are x and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*l - 43 = 0, 164 = -3*p + 7209904*l - 7209894*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + 2) - ((-16 - -7) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015418554 to 4 dps.\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 940\/63 + -106\/7. Let g = -5.05 - -0.05. Let x = g - -3. What is the nearest to j in x, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 0, 3 in decreasing order.\nAnswer: 60, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*c - 12 = 0, c = 19*m + 21*m - 36*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 24 - 6*j**2 - 23 + j**3 + 2*j. Determine c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - 4 - (-82 + 37))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 1939 = -31. Let s = t + -97. Let j(x) = -2*x + 4. Let l be j(-7). What is the greatest common factor of s and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-10))\/((-15)\/50). Suppose -5*p = 2 - b. Let a be -2 + 4\/p - (-3 + -2). Solve 0 = 3*t - 12, -4*o = o - a*t - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -5a2?\nAnswer: -59f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266778?\nAnswer: 2, 3, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -751447355?\nAnswer: -751447352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d7d - -afac?\nAnswer: a22f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -30*r**2 + 410*r - 830. Give g(16).\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-20)*s*s**(2\/27)*s*s assuming s is positive.\nAnswer: s**(650\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -5. Let q = 2980 + -2977. What is the second smallest value in -5, 2\/7, c, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/4 + 248\/(-31).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*n**2*t**3 + 80*n**2 - 5201696*n*t**5 - 1682716*t wrt t.\nAnswer: 84*n**2*t - 104033920*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-234)*3*-6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89785077?\nAnswer: 3, 23, 1301233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 11. Is w not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 31.9999977. Round f to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22708996 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011101100110 (base 2) in base 7?\nAnswer: -56230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**2 - 550\/3 + 40*a.\nAnswer: -2*(a - 55)*(a - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -3 (c) -2\/21 (d) -0.11230787\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 536203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021922 rounded to the nearest 10000?\nAnswer: -2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2476796 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2493914026?\nAnswer: 2, 16411, 75983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -7, 15 in descending order.\nAnswer: 15, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 151, 313, 489, 685, 907, 1161, 1453, 1789?\n\"Answer: r**3 + r**2 + 152*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, 31, 170, 433, 862?\n\"Answer: 7*o**3 - o**2 + 11*o - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (15 + -97 - -77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16821695729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 191.6373 centuries?\nAnswer: 19163.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2944341 and 5.\nAnswer: 14721705","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30459 and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 25 = -4*t, -41 = 3*t + 2*t + 2*h. Let l(d) = 17*d - 6*d**2 - 6*d + 3 - 5*d - d**3. Let j be l(t). Solve 2*u - 2*z + 2 = -j, 5*z = -2*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dskdkddk. What is prob of sequence sk?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*j + 8, 2*j = -2*d - 3*d + 14. Let p = 255 - 254.7. What is the nearest to -1\/5 in p, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/8 + 390\/(-520).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 + 7*w**2 + 4*w**2 - 2*w**2 + 11*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17733295.88 rounded to the nearest one hundred thousand?\nAnswer: -17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16254 is divided by 61.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1039600 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:23 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 7*g - 7. Let i be (-34)\/8*(-2 + -6). Let o = -3266 - -3269. Suppose 3*q + i = -5*a, -3*a - 21 = -o*q + 5*q. What is m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9589, 11383, 13177?\nAnswer: 14971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(sqrt(1700) + (sqrt(1700)*2*2 - sqrt(1700) - sqrt(1700))) - (2 + 3*(sqrt(1700) - (sqrt(1700) + 2))))**2*2.\nAnswer: 14400*sqrt(17) + 4590192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9*c**3 + 26*c**3 - 12 + 63*c**2 + 7 + 9*c**3.\nAnswer: 26*c**3 + 63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56773984637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17832 and 296457?\nAnswer: 2371656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -926\nAnswer: -370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 7*n**3 + 3*n**3)*(13 - 5 + 0 - n) - 390*n**2 + 31*n**4 + 390*n**2.\nAnswer: 34*n**4 - 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = -1. Let w be -6*(-2)\/4*k. What is the remainder when -2*w\/((-18)\/(-51)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*n + 147, 3*i - 144 + 48 = -n. Calculate the lowest common multiple of i and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5351, 131 in descending order.\nAnswer: 5351, 131, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10376.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20391 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*x - 40, -3*y + 37 = 4*x - 7. Suppose 19*a = 16*a. Let c be 0 - -1 - -3 - 0. Solve -c*m = -a*m + y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(2\/9). Find the first derivative of z + u**4 + 4*u**4 + 3 + 2 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.74 + -29. Let o = r + 0.16. Let k = 10 + -15. Which is the nearest to o? (a) k (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-42))\/(((-5)\/(-1))\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 2 + 2)*(-1 + 2*b**2 + 1) + 0*b**2 + 0*b**2 + 2*b**5 + (0*b + 4*b - 3*b)*(-1 + 1 + 2)*(-180*b**4 + 371*b**2 - 371*b**2).\nAnswer: -362*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229972 or 229983?\nAnswer: 229983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(-10 + 4). Let p(q) = 7*q**3 - 3*q**2 - 7*q - 3. Let v(i) = 8*i**3 - 4*i**2 - 8*i - 4. Let k(r) = g*v(r) + 4*p(r). Let k(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 3*x**4 + 9*x**3 + 23*x**2 - 24*x - 36.\nAnswer: -(x - 2)**2*(x + 1)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -22?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 16*r + r + 11*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 220\/88*(-8)\/10 - -14094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66.16 + 99.16. What is the nearest to 0 in f, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 4:59 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/35 + 19\/35. Which is the biggest value? (a) z (b) -4 (c) -1\/3 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181\/267 - -1\/89. Sort q, 5, -0.3 in ascending order.\nAnswer: q, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -8. Let a be l + (-2)\/(-1) - -2. Solve -4*x + 2 - 6 = a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1625*j**2\/3 + 5416*j - 20\/3.\nAnswer: (j + 10)*(1625*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 7*w - 8. Let k be o(-9). Suppose -t + 3*s - 2*s + 8 = 0, -5*t = -s - 28. Does 9 divide t\/k*22 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 5*h + 19. Let n be o(-7). Suppose 0*i - 3*i + 27 = 0. Let x be ((-15)\/i)\/(2\/(-6)). Does n = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - (2 + -10 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 550*d - 8983. Calculate r(258).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -106 and -843.\nAnswer: -949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -79.066 + 81838228\nAnswer: 81838148.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:25 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101 + 10?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/((-9)\/(-180)). Find the common denominator of 75\/16 and ((-2)\/s)\/(4\/(-86)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3843860.\nAnswer: 2, 5, 192193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279048049*u**6 - 9*u**2 - 277*u - 67791 wrt u.\nAnswer: 33485765880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/7 - 28716*u\/7 - 886352\/7.\nAnswer: -4*(u + 31)*(u + 7148)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*k**2 + 0 + k**2 + 0 + (-5*k + 0*k + 3*k)*(-2*k - 1 + 1) - 5*k**2 - 2*k + 2*k)*(3 - 2 + 1) as o + s*k + a*k**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+5.761\nAnswer: 5.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78.16 - -78. Is g not equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1185\/(-1580) + 135\/120.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -1\/2*y**3 + 1 + 5\/24*y**4 - 1\/60*y**5 + 76*y**2 + 0*y. Calculate x(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151095 and 35637?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 + 27*x**2 - 2.\nAnswer: 27*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -4*j**3\/3 - 57*j**2\/2 + 83*j + 2. Calculate the remainder when 115 is divided by w(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/13 - 40*j + 2550\/13 = 0. Calculate j.\nAnswer: 5, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 3*c**2 + 0*c**2 + c**2 - 1 + 1 + (0 + 1 + 0)*(c**2 + 4*c**2 - 3*c**2) + 5*c**2 + 0*c**2 - 3*c**2)*(-3*c**2 + 4*c**2 + 2*c**2).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 213.89 - 209.89. Let t = 1 + -0.8. Which is the closest to t? (a) 0.03 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*j = 87*j - 42*j - 38204 + 12074 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 + 99 + -120 - 71?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12 = -4*g, -2*b - 4*g - 4 = -10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35027145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 654061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5972, 12700, 19428?\nAnswer: 26156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -89.9. Let f = d - -1.9. Let g = -7.4 + f. Sort g, -3\/2, 0.1 in descending order.\nAnswer: g, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37724 - 37724 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4 - 4 + 6 - 2 - 3. Let r be 20\/(-2) + (1 - 3). Let d(n) = -3*n**3 + 12. Calculate r*h(z) + d(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 + -6 + (-694 - -688)?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:01 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -89 in decreasing order.\nAnswer: -1, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32470 and 50.\nAnswer: 162350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -214*w. Let s(n) = 8*n**2. Determine h(s(x)).\nAnswer: -1712*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - y - 3)*(-7*y**2 + 69 - 69).\nAnswer: 7*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -42554?\nAnswer: -42555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q**3 + 8*q**2 - 5. Let y(v) = -v**3 + v**2 - 1. Let t(f) = a(f) - 4*y(f). Let z(s) = s**3 - s**2. Calculate t(j) + 6*z(j).\nAnswer: j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*z + 19. Let p = 74 - z. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 358 = -358. Solve b = -7*x + 8*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3533 is divided by 574.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let d(h) = -t + 1 - 18*h + 19*h. Let n(l) = -3*l. Determine n(d(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102, 146, 190, 234, 278, 322?\n\"Answer: 44*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1314 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x**2 + 43*x**2 + 35*x**2 + 69*x - 115*x**2 - 5*x.\nAnswer: -2*x**2 + 64*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 - 8*x + 4. Let r = 2 + -8. Let b be g(r). Let w = b - 9. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 4*s**3 - 3*s**3 + 155*s**2.\nAnswer: s**3 + 149*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 7589 = 2*l - 35*j, -4*j = 5*l - 19088. What are the prime factors of l?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6492.2, 5, -1, -0.3, 3?\nAnswer: -6492.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2353 (base 10) in base 6?\nAnswer: -14521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, h: 1, n: 13}. What is prob of sequence nwnh?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:48 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 45064 to the nearest one hundred.\nAnswer: 45100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 9172*b**2 + 258377*b + 195. Determine u(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -32.2. Let n = f - 9.3. Suppose 0 = 3*v - v - 2. Put n, v, 0 in descending order.\nAnswer: v, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 = -6*x + 328*b - 323*b, 2*x = -3*x + 2*x + 2*b + 143 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011345635 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.141\nAnswer: -0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8*s**2 - 11*s - 6*s**2 + 0 + 15*s + 17*s to the form j + x*s + v*s**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y**3 - y**2 + 8*y - 2. Let j be p(-4). Let x = j + -622. Is 36 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455050 divided by 3.\nAnswer: -455050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 915820 divided by -183164?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 - 5 = 0. Let v be 3*1 + -4 + h. Let l = v + 2. What is the lowest common multiple of 9 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5239*p**4 - 17574.\nAnswer: 20956*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13006432 (base 8) in base 10?\nAnswer: 2886938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 3*z**8\/14 - z**4\/12 + 3*z. What is the third derivative of b(f) wrt f?\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**3 - 19*w**2 + 30*w - 28. Let u(m) = 3*m**3 - 9*m**2 + 15*m - 13. Let g(l) = -2*s(l) + 5*u(l). What is g(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22854117\/64 + 715337297\/1856. Let h = n + -28325. What is the common denominator of 77\/10 and h?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 51 - 7*a - 25 + 2*a - 27. Calculate m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 2*i**3 - i**3 + (-6*i + 3*i + i)*(-3*i - i - 4*i)*(-4*i + i + i) to d*i + f*i**3 + k*i**2 + n and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 286822 = -442234. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*s**5 - 57*s**5 - 62*s**5 + 1 + 2*s**5 - 1 + (-3*s + 3*s - 2*s)*(1 - 1 + 2*s**4).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3718, 7726, 11902, 16330, 21094?\n\"Answer: 14*u**3 + 3910*u - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10011100101011100011101110?\nAnswer: -10011100101011100011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**3 + 72*b**3 + 0*b**3 - 1 + 15*b**3.\nAnswer: 97*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1821314 - 2*i + 1821314 + 7*i**2.\nAnswer: 7*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 12*c**3 - 17)*(0 + 1 - 3).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z**2 + 8*z**2 - 2*z**2)*(0 - 2 + 0).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, 2\/3, 1, -5 in decreasing order.\nAnswer: 310, 1, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/22896 and -29\/1908?\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382665 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2644 + 222*c + 205*c - 2644 - 631*c + 209*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172559353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 + 0 = 0. Suppose -13*r + 12*r - 6 = 0. Let u be ((-3)\/r)\/(2\/4). Sort -4, u, t in increasing order.\nAnswer: -4, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 831*j + 5779. What is z(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 2 + sqrt(352)\/sqrt(99) + sqrt(384)\/(sqrt(12)*1*-4 - sqrt(12)) + -4)**2.\nAnswer: 128\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 4*k**3 + 40 + 5*k**2 - 2*k - 107 to the form r*k**2 + s*k**3 + f + m*k and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.3. Let j = 1839 + -1984.1. Let x = j + 145. Put x, q, 2\/13 in ascending order.\nAnswer: x, q, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -55616?\nAnswer: -55616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00230579 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -43*i - 7569. Let z be k(-176). Let m(s) = -2*s**2 + 2*s - 5. Let d(n) = -n. Calculate z*d(w) - m(w).\nAnswer: 2*w**2 - w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5996745.\nAnswer: 3, 5, 133261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a*a)**(-17\/2)*a**3*a*a\/(((a*a**(1\/2))\/a*a)\/a))\/((a**(2\/5))**(-2\/7)*a**0\/a*a**1\/a*a) assuming a is positive.\nAnswer: a**(459\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/81)\/(((-8)\/10)\/(342\/(-285)))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (89\/(-3026))\/((-6)\/(-48)*-2)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3111, -6225, -9339, -12453?\nAnswer: -15567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 4. What is the derivative of 2*o**t - o**2 - 4*o**2 - 2 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -386833585\/25644 + 60339\/4. What is the common denominator of 73\/12 and v?\nAnswer: 25644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357557837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 9.8, -41.3, 0?\nAnswer: -41.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 4162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 954 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.4 + -8.6. Let k = 1763 - 1763.1. Let h(i) = -2*i + 5. Let s be h(5). What is the biggest value in k, s, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 100.631.\nAnswer: -805.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 12. Let w be t(-8). Let f = -8 - w. Suppose -h + 435 = -f*h. Round h to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127093 = 2*r + 3*t + 418036, -5*t = r + 145482. Is (-3)\/(-30) + r\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443670?\nAnswer: 2, 5, 31, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -7.2 (c) -11 (d) -7.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10219\/1638 + 11\/234. Calculate the common denominator of g and (-2)\/9*66\/(-24)*3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g + 53*g - 23*g + 14 - 14.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545451\/4 - 1 - 550\/(-440) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 14*v - 3. What is b(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/17)*((z\/(((z\/((z\/z**(-2\/21))\/z))\/z*z)\/z*z))\/z)\/z*(z**(2\/9))**(-35))\/(z*z**(-2)*z**3)**(2\/15) assuming z is positive.\nAnswer: z**(-52648\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.098 + 0.098. Which is the nearest to 0.3? (a) 0.7 (b) 1 (c) x (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -593*x**2 + 1. Let w(r) = -12520*r**2 + 6265*r**2 + 6259*r**2. Determine h(w(p)).\nAnswer: -9488*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + (16 + -13 - 24) + 22?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-7*l + 3*l - 24*l).\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s + 2. Let o(j) = 9*j**2. Determine o(y(x)).\nAnswer: 576*x**2 - 288*x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 242224?\nAnswer: 242220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.734 from -87.8844.\nAnswer: -88.6184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 64660*d**2 + 2843588*d - 31274144.\nAnswer: (d - 64616)*(d - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.4 + 28. Which is the closest to 0? (a) -1\/4 (b) t (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140040355 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 155, 71, -51, -223?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 7. Let d = 5 - 2. Let y be j(d). Find the third derivative of -4*g**5 + g**5 + g**2 - 3*g**2 + y*g**2 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1562 - 0.4.\nAnswer: -1562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 + -161. Let l(v) = -v**3 - 6*v**2 + 17*v + 36. List the prime factors of l(i).\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12272155 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Let h = l - 1. Suppose -3*r + 4*g - 6 = 0, 4*r - h = 2*g - 12. Let o(d) = -d**2 + 4*d + 3. What is o(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -41202*v - 246633. Give g(-6).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m**3 + 11*m + 37. Let r(j) = -9*j**3 + 6*j + 19. Calculate -6*a(l) + 11*r(l).\nAnswer: 3*l**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 0*v + v)*(-4035 + 330 + v - 1438) as m*v**2 + g + w*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r + 3. Let c(i) = 69*i + 15. Give 4*c(w) - 21*p(w).\nAnswer: -18*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 101*j**2 - 690*j + 349. Determine s(7).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*p - 49 = 0, 10*z - 16 - 22 = 5*p + 67 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 799*h + 810. Let c be y(-1). What is u in 53\/2*u + c - 3\/2*u**3 + 14*u**2 = 0?\nAnswer: -1, -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15015\/6006*((-76)\/10)\/(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966286941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18359 is divided by 13161?\nAnswer: 5198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12302211 - -210?\nAnswer: -12302001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3759 or 0?\nAnswer: 3759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c**2 + 9*c + 5 - 2*c**2 + c**2 + 0*c**2. Let t be u(9). Solve 0 = 2*f - 1 + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664 divided by -4?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from nnnnnnnntnnnnnnnnnnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22.3, -1, -6, -2, 5 in decreasing order.\nAnswer: 22.3, 5, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1055 - 51?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 32*o**2 - 66*o + 49. What are the prime factors of y(-33)?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8652, -8636, -8596, -8520, -8396, -8212, -7956, -7616?\n\"Answer: 2*t**3 + 2*t - 8656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01905 - 0.28095. Let n = -1.92 + 2.1. Which is the third biggest value? (a) n (b) -0.2 (c) 0 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16140*j**2 - 3711 wrt j.\nAnswer: -32280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 10*h + 5. Let u be i(9). Let n be u\/(-6) - (-16)\/3. Let x(k) = 2*k**2 - 8*k - 1. Is x(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30600 and -32\/119?\nAnswer: 214200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0 + 0)*(-2069*s + 82*s**2 + 3 + 2075*s - 15*s**2).\nAnswer: 201*s**4 + 18*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 421 - 684. Suppose -3*c = -4*t - w, 0 = 3*c - t + 4*t - 99. Calculate the smallest common multiple of 4 and c.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 5 + 1 - (-2 + (-72 - -78))) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - (-9 - (1 + -2))) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/2 + -4 + 4. Which is smaller: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44268*x**3 - 88647*x**3 + 44204*x**3.\nAnswer: -175*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3307 * 0.2.\nAnswer: -661.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29241, -29111, -28967, -28803, -28613?\n\"Answer: y**3 + y**2 + 120*y - 29363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -34286 equal to -34286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/6 (b) 24 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*h + 6 - 1, 0 = 3*h - 6. Let p = -4 - d. List the prime factors of ((-4)\/6)\/(p\/(-9)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 23*c - 50. Let p be b(-2). Suppose m + 4*x - 4 = p, -m - x + 1 = -5*m. Factor -1\/5*l - 1\/10*l**2 + m.\nAnswer: -l*(l + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/9 - 2*a**3\/3 + 8*a**2\/9.\nAnswer: -2*a**2*(a - 1)*(a + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 41*o**2 - 21*o + 575. Is q(-76) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**4 - 1018078*h**3 + 123*h + 3561?\nAnswer: 108*h**2 - 6108468*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 2, n: 1, k: 1, e: 1, b: 1}. What is prob of picking 1 e, 1 k, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9575, -19161, -28759, -38375, -48015, -57685?\n\"Answer: -w**3 - 9579*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v**2 + 36*v. Let m(t) = t. Calculate -72*m(i) + 2*x(i).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32905945327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020285 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 j when four letters picked without replacement from voqjqtojjjojyyovto?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 7490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33729 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 760 * 0.7.\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v = -44*v - 228602. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.3 and 2574.\nAnswer: 13642.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58468 + 58200.67. Let t = y + 256.363. Let r = t + 11. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*w**3 - 16*w**2 + 2*w wrt w.\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12454, -25399, -38344, -51289, -64234, -77179?\nAnswer: -90124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 169 = -38*s + 34*s, -2*s + 116 = 2*u. Calculate the smallest common multiple of s and 288.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.180359\nAnswer: -0.0180359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0700462 rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633 - 629 + 4*u**2 + 1896 + 2*u**2 - 634 - 8*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - a)*(3*a + 9*a - 21*a)*(-4*a + 5*a - 2*a).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/14)\/(-13*(-17)\/(-1547)). Let o(s) = s. Let l be o(2). Sort 0, 5, l, a in ascending order.\nAnswer: a, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) 0.7 (d) -10 (e) -0.009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -521404239737 - -28?\nAnswer: -521404239709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t - 1. Let k be r(1). Suppose -3*h + 6*y - 8*y + 5599 = k, 0 = -5*h + y + 9336. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 - q**4\/12 + 5*q**3\/6 - 88*q**2. Suppose 24*p = 23*p - 4. Determine l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*i + 88*i + 11*i as c + l*i and give l.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {j: 3, v: 2, n: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 365*q**3 + 4 - 9 - 13.\nAnswer: -365*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 23 + -9 - (7 - (116 - -7)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120384 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 33*s**3 + 6*s**2 + 8*s - 1. Give i(-2).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -37\/287687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*s - 324*s - 106*s + 17315200. What are the prime factors of s?\nAnswer: 2, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a - 2789?\nAnswer: -27c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.079743 litres in millilitres?\nAnswer: 1079.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/(-21)*(-5292)\/504.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 51039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2460*s - 4290. What is the hundreds digit of w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136368?\nAnswer: 2, 71023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152535523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 295390 * 0.07\nAnswer: 20677.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1702071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**2 + 4*d + 14. Calculate b(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*k**3*o*r**2 + 5*k**2*o**2*r + 2*k*o**2*r + 25*k*o**2 - 8*o*r**2 wrt k.\nAnswer: -120*k*o*r**2 + 10*o**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(4*q + 0*q - q).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 76*z - 772. Give c(-13).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208489 is divided by 208326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-24 - (-19 + 25)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1108331821*c*h**3 + 951025*h**3 + 42*h**2 + 3 wrt c.\nAnswer: 1108331821*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-35)\/(-56) - (-2856)\/448)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -9. Let b = -8 - l. What is the smallest value in 5, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173.0000294 - -173. Round f to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111*c**2 - 100572*c + 302715.\nAnswer: -3*(c - 3)*(37*c + 33635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*a**3 - 518 + 518 + (-6*a + 3*a + a)*(a**2 - 3*a**2 + 3*a**2) - a**2 - 2*a**3 + a**2 + 3*a**3 - 2*a**3 + a**3.\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let a = -2.9 + b. What is the third biggest value in 0.3, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/((w**(-14)*w)\/w)*(w\/(w\/((w**(-2\/7)\/w)\/w)))\/(w*w**13*w*w) assuming w is positive.\nAnswer: w**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1643, 1617, 1589, 1553, 1503, 1433, 1337, 1209?\n\"Answer: -t**3 + 5*t**2 - 34*t + 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -740 + 744. Put 2, 6, l in increasing order.\nAnswer: 2, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 6*v + 8. Suppose -6*n = -4*n - 24. Let b = n - 1. Calculate the remainder when u(b) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.17 + 71.2. Let j = g - 0.03. Which is the nearest to -6? (a) 1 (b) j (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 34488589?\nAnswer: -5\/34488589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.211205, -1\/5, -3?\nAnswer: 0.211205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1116*g - 6*g**2 + 5*g**2 + 168*g in the form b*g + a + l*g**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 30 - 6*l - 5 - 1.\nAnswer: -3*(l - 2)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/649 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 819157719 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oco when three letters picked without replacement from ononoccooccconnogo.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347549?\nAnswer: 3, 7, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2983643 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 1175*t**2 + 67235*t + 212415.\nAnswer: 5*(t - 119)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 24*u - 17*u + 2 + 0. Let x(s) be the second derivative of -2*s**3\/3 - s**2\/2 - 23*s. Calculate -3*o(n) - 5*x(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuhvhhhhvuh. Give prob of picking 3 h.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18*m + 3192 = 0. Let h = -154 - m. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flbssflflsbsblssl. What is prob of sequence llfs?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91267 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*q*u**3 + q*u**2 - 290*q*u - 2*u**3 - 2*u wrt u?\nAnswer: -660*q*u + 2*q - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 12) to base 15\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 392\/31 (b) -1\/14 (c) -3\/5 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from ykktfykkyykxxkyky?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*u + 3*t, 5*u = -3*t + 4*t - 123. Let i be 740\/u - 9\/(-15). Let a = i + 88. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 19377912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(7 + -1) + (-6)\/36. Let r(h) be the second derivative of -1\/4*h**5 + 0*h**2 + z*h**4 - 5*h + 0 - 1\/2*h**3. Find the second derivative of r(q) wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l - 5*l. Let m = l + 19. Solve -m = t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqkkkkkkkkkqkqqkqk. Give prob of sequence kqkk.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 1959*i - 454031. Calculate d(-603).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17520306.992300299 - 17520307. Let l = 0.0077 + o. Round l to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 4, r: 3}. What is prob of picking 1 m and 1 r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1527, 0, -4, 35, -1 in descending order.\nAnswer: 35, 0, -1, -4, -1527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5054 and -139\/4188.\nAnswer: 10583076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(36\/(84 + 2436)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejejeljj. Give prob of picking 2 j and 2 e.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8974463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 491*w - 490*w = 8, 2*q + 20 = w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22374?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 43*p**3 - 47*p**2 + 56*p - 10. What is h(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/2 - 2975*u\/2 + 8907 = 0?\nAnswer: 6, 2969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*q = -17, 19 = -u - 23*q + 27*q. Sort 4, 11, -60, u in decreasing order.\nAnswer: 11, 4, u, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 + 212. Let t(s) = s**2 - 35*s + 51. Let z be t(p). Put z, 5, 3 in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.733 (b) -0.3 (c) -53 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 149114 + 3*b - 4*b - 150025 + 2*b in the form j*b + i and give i.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 4, -1, -3.\nAnswer: -3, -1, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/120 - g**5\/20 + g**4\/24 + g**3\/3 - 24*g**2. Let x be (-4)\/(-10)*(5 - 0). Let i be p(x). Solve i = 2*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16954 divided by 7078.\nAnswer: -8477\/3539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1958838, -3917698, -5876558, -7835418, -9794278?\nAnswer: -11753138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 205?\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 4. Let u be z(-3). Let y be -2 + u + (-159)\/(-51). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2484 = 5*b - 8409. Let l = -814 + b. Suppose l + 256 = 3*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uequ when four letters picked without replacement from fufqxeu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*i - 9. Suppose 4*a + i*u = 207, -3*a + u + u = -184. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/6601 and 91\/15719810.\nAnswer: 110038670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -688*q - 208. Let z(n) = 10*n + 3. Give 6*f(m) + 416*z(m).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523103971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, s: 7, b: 4}. What is prob of sequence jss?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37874 or -37873?\nAnswer: -37874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llsa when four letters picked without replacement from aalmwsml?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 6. Suppose -u*n + 7*n = 42. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -35*b**6\/6 - 1349*b**5\/60 + 491*b**2 + 2*b. What is the third derivative of l(s) wrt s?\nAnswer: -4200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -w + 15. Let j(t) = t**3 + 11*t**2 + 10*t + 4. Let r be j(w). Solve 3 = -r*g + 7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66411*r + 66275*r = 2040 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2346 - 4?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -30634482.\nAnswer: 1\/10211494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = 4*v, 2 = 2*r + r + 5*v. Let i(y) = r - 5 - 5*y + 1. Let u(c) = -2*c + 4*c - 11 + 11. What is i(u(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256716586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435871043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 525 - -35. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 1\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 - 3*x - 1. Let q(u) = 3*u**3 - 2*u - 2. Let z(w) = -2*c(w) + 3*q(w). Suppose -2*i = -0*i. Calculate z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81240.\nAnswer: 2, 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzavczvc. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4476764 + 4?\nAnswer: -4476760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 - 7*t - 7. Let p(b) = 6*b + 0 + 7*b**3 + 0 + 6. Let d be 0 + 2 - (2 - 3). Suppose -k = -0*k - u - 3, d*k - 15 = u. Give k*l(z) + 7*p(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 4*n + 4. Let z be l(-1). Solve -h + o = z*h + 11, 3*o + 15 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4106658 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1983165080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1164, -4, -2 in descending order.\nAnswer: 3, -2, -4, -1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 0 - (-31 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -7*a + 3*a. Let j = a + 17. Let c = -17 - j. Solve 5*p - 3*p - 2 = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-30)\/220) + 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1481.081\nAnswer: 444.3243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/67352 and 95\/936.\nAnswer: 7880184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-6)\/(-16)) - (104 - 100). What is the derivative of -157 + 5*u**c - 150*u**4 - 59*u**4 wrt u?\nAnswer: -816*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181279 + 0.057.\nAnswer: -181278.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05131 - 1.05131. Which is the closest to f? (a) 2\/21 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 4, d: 2, w: 3}. What is prob of sequence rr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1960*k**3 - 4095*k**2 - 2700*k - 540.\nAnswer: -5*(7*k + 6)**2*(8*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpp when four letters picked without replacement from {q: 8, l: 3, s: 1, f: 3, p: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2205) + sqrt(2205)*-3 + sqrt(2205)) - sqrt(2205) - sqrt(2205))\/((sqrt(9) + sqrt(45)\/sqrt(5)*6)*4).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124 + -2551835?\nAnswer: -2552060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 5*l**2 - 7*l**2 + l + 14*l**2 - 20 + l as a*l**2 + y + d*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14623 - -4?\nAnswer: -14617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72\/(-48) - 86\/(-4) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 - -0.5. Let j = -0.41 + w. Which is the second smallest value? (a) -1 (b) 1\/4 (c) 0 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397623 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66675 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - 8\/20. Let q(m) = m**3 - 6*m**2 + 7*m - 5. Let f be q(5). Solve f = k - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -63. Let w be ((160\/(-15))\/8)\/(8\/(-108)). Suppose w*o = 12*o + 1740. Calculate the highest common factor of s and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15)\/((-32)\/80)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 90*b - 95*b. Let o(z) = z**2 - 5*z - 4. Let g be o(b). Suppose 0 = 4*h + g*a - 22, -3*h - 4 = -h - 4*a. Solve -5 - h = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:17 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*x**2 + 22*x + 298 wrt x?\nAnswer: 8*x + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.3. Let b be 8\/30*6\/(-4). What is the nearest to p in -2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4120.01 + -4097. Let p = 22.97502 - a. What is p rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 - -83. Let q(u) = -u**3 - 18*u**2 - 15*u - 3. Is q(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 17 = 34 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -165, -566, -1345, -2628, -4541, -7210?\n\"Answer: -21*d**3 - 2*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19115 (base 16) in base 12?\nAnswer: 4b505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-19\/3)\/f)*f*f**(3\/8) assuming f is positive.\nAnswer: f**(233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8.7. Let d be (-210)\/(-520) + 2\/(-13). Which is the biggest value? (a) i (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76812.45g to kilograms.\nAnswer: 76.81245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-18)\/(-6)*-5. Let j(x) = -2*x - 7. Let u be j(-5). Solve 0 = 2*q - m - d, u*q - 3*m = q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.03187.\nAnswer: -0.03187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**2)*i\/(i\/(i\/i**(-9))*i*i))**(-1\/22)\/(i\/(i*(i*i*i**(2\/5))\/i*i)*i\/i**(-6)*(i*i\/(i\/(i*i**(-1\/5)*i)))\/i**(1\/5)) assuming i is positive.\nAnswer: i**(-421\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**4\/g))**(1\/9))**(-5\/8))**17 assuming g is positive.\nAnswer: g**(85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 16 = 1. Is n at least as big as 2\/469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (11 + -12 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/29, -5, 9, 54.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1157?\nAnswer: 4\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64276590?\nAnswer: 2, 3, 5, 7, 307, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(4))**2 - sqrt(7))*5 + -2 + 5 + -4 + (sqrt(343) - (sqrt(343)*2 + -3 - sqrt(343))).\nAnswer: -5*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 385 + 181*g - 119 wrt g.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38963 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298214 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/13)*h)**18 assuming h is positive.\nAnswer: h**(252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:03 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 946520*j**6*w - 106*j**3*w**2 - 861192645*j**2*w**2 wrt j.\nAnswer: 113582400*j**3*w - 636*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 58*f. Let j be 824\/24 - -3 - (-1)\/(-3). Let g(w) = -44*w - j*w + 79*w. Give b(g(h)).\nAnswer: 4*h**2 + 116*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 2*j**2 + 5*j - 2. Let p(u) = -u**2 + 96. Let w be p(10). Calculate d(w).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2879*l + 70 + 70 = 2949*l. Let h = -5 - -9. Solve -3*k = -o + 11, 24 = h*o - 0*o - l*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 3}. What is prob of sequence qee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:56 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 76. Suppose 0 = 132*s - 74*s + 2552. Let g = s + i. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/32 and -5\/32028?\nAnswer: 256224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 + 2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a**3 + 4 - 5*a + a**3 + a + 0. Let g be v(2). Suppose 2*o - 966 - g = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)*(i**8*i)\/i assuming i is positive.\nAnswer: i**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*z + 258*z = 4*b, 7*z + 27 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*i + 9*i**2 + 303 + 2*i**2 - 9*i**2 + i**2 - 306*i.\nAnswer: 3*i**2 + 2*i + 303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((-3)\/(-15)) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4603849?\nAnswer: 41, 112289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100001 - -110?\nAnswer: 110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/8 - 2484935\/(-24392)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 227*x - 235. Solve x*q + 13 = 4*n, -10*q + 1 = -11*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367338.\nAnswer: 2, 3, 61223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = c, 2*m = m + 4*c + 15. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v + 1. Determine a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 5}. Give prob of picking 2 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -44 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850632?\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 3. Is 20 a factor of (19 + q)\/(-2 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 32 - 4*y + 2*y)*(2 - 4 + 3) as n*y + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*h**2*q*s - 3*h**2*s + 13*h**2 - 252*h*s**2 - 174*q*s**2 - 2 with respect to q.\nAnswer: 138*h**2*s - 174*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:44 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/3 + 15\/45. Suppose 3*d = -24 - o. Let p(z) = -z**2 - 10*z - 9. Let j be p(d). Solve 4*b = -3*g + 1, -5*g + 2*b + 3*b - 10 = j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -5*a - 198. Put -3, 3, a, 0, 21 in ascending order.\nAnswer: a, -3, 0, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5146771719?\nAnswer: 3, 1715590573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 12*b**3 + 115*b**2 + 906*b + 1440.\nAnswer: -(b - 10)*(b + 3)**2*(b + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84421, 84426, 84433, 84442, 84453, 84466?\nAnswer: 84481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22418 * -1\nAnswer: 22418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 3*m - 28. What is v(0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 48 + 8. Suppose y*f - 4*f = 88. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47819.1 * 0.337\nAnswer: 16115.0367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -927641*g**4 + 350*g**2 + 2*g - 579.\nAnswer: -22263384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.06179 kilometers in nanometers?\nAnswer: 39061790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1285)\/(-20))\/(1\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q - 2*q - 2*q)*(19 + 3 - 6)*(6*q + 14*q - q) - 3*q**2 + 0*q**2 + q**2 to s + c*q + y*q**2 and give y.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7685 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/50 and -51\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.1 (b) -2\/19 (c) -15\/7 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.616119 to three dps.\nAnswer: -158.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**3 + 164025*y**2 - 10188465*y + 10024435 = 0?\nAnswer: -32867, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018543 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*p - 18, -3*p + 13 = 5*w + 35. Let v = 1.85 + 0.15. Which is the nearest to p? (a) -0.3 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 26) + (-11 - -52)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:48 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60, 86, 98, 90, 56, -10, -114, -262?\n\"Answer: -r**3 - r**2 + 36*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {c: 2, x: 4, p: 2, s: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.1559.\nAnswer: 3.4677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)*(28\/2)\/1. Is (-4)\/t - (-4110)\/70 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30722.0000026306 - 30722. What is d rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1600 - -2801. Let u = k - 6024\/5. Let a(w) = w**2 - 12*w + 30. Let t be a(5). Are t and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 97 and -1.92.\nAnswer: 95.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flulpfhpflflhppp. What is prob of picking 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1 + -5 + 1 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/3)\/n)\/n)\/(n*(n\/n**(1\/5))\/n*n))**(-6\/5)*(n*n\/(n\/(n**4\/n))*n)\/(n*n**(2\/3))*n**(2\/9)\/n*n\/(n*n*n**(4\/3)\/n*n)*n assuming n is positive.\nAnswer: n**(1211\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 2 - 2*b - 9 + 4 to q + f*b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -9, 5 in decreasing order.\nAnswer: 5, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12122 + -21?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a factor of 263622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-3))\/((-40)\/60). Suppose r*p = -p + 45. Determine q so that 2 + p*q**3 - 10*q + q**2 + 4*q**2 + q - 7*q**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 20 = 5*z, 0 = -5*b - 2*z - 0*z - 15. Suppose 6*o + 15 = 11*o. Suppose 3*v = -v - 2*u + 14, -16 = -5*v - 4*u. Put v, b, o in increasing order.\nAnswer: b, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -25 + 29 + -3 + -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 1529. Let t(i) = -12*i**2 + 8. What is b(t(p))?\nAnswer: -432*p**4 + 576*p**2 - 1721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198633.\nAnswer: 3, 73, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-5 - -2) + -3. Suppose -s + k*y = y + 1, -3*y = 2*s. Let j(n) = n**3 + 3*n**2 - 2*n - 4. Let r be j(s). Solve 5*h - r*h = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + 1476\/45. Let a = 41 - g. What is the smallest common multiple of 2 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 613435?\nAnswer: -613431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6) + -4 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 = z - 3, -4*z + 4*h + 36 = 0. Suppose 16 = 2*m - 3*y, 6*y + 48 = 4*m + z*y. Calculate the highest common divisor of m and 364.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 75*c**2 + 2479*c + 12376. Calculate h(-5).\nAnswer: 1856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/76 and -21\/232?\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/22)\/((2\/24)\/(75\/150)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40869 in -1, -21, 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -47. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154, -152, -140, -112, -62, 16, 128?\n\"Answer: k**3 - k**2 - 2*k - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:40 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 12 (c) -3 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 249 - 1649 = 0. Suppose 0 = -58*z + 52*z + 6048. Let h = y + z. What is the highest common factor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 44*y**2 - 104*y.\nAnswer: 4*y*(y - 2)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 6. Let r(k) = 3*k**2 - k + 6. Let h(q) = 4*l(q) + 3*r(q). What is the units digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57103649 to the power of 1\/2, to the nearest integer?\nAnswer: 7557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.59 >= -4\/499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*p + r, -21 = 2*p + 15*r - 18*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 10 + (-18 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6453627 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 136*f**2 - 1834*f + 1700.\nAnswer: -2*(f - 50)*(f - 17)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*t + 98. What is the remainder when 391 is divided by (-56)\/(-18)*(312\/t - 15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21875446 is divided by 48397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 1041, 1583, 2125?\nAnswer: 2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - j + 4*j + 3 in the form h*j + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36520 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27790532 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhehsjjehoowjoojeo. Give prob of picking 2 e, 1 j, and 1 h.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - (-13)\/(39\/324)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -413? (a) 0 (b) 1 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*n + 24 = 0, -26*j - 3*n - 97 = -273 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*o + 13, o - 3 = a - 0. Let n be (-15 - -15)*o\/(-2). Solve n = 8*m - 4*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -511 + 1074. Solve 559*o - 4 = u*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Let n = -110 + 78. Let u = -30 - n. What is the smallest value in c, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1\/((-3)\/(482 - -1)))*2839\/8517.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-35))**(3\/5)*m**24\/(m**11\/m))**(-17) assuming m is positive.\nAnswer: m**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7) + (-131)\/7 + (-2512834)\/(-175314)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 - 2044*j**3\/3 + 326306*j**2\/3 + 36079784*j.\nAnswer: 2*j*(j - 589)**2*(j + 156)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*d + 132, -4*j + d + 105 = 2*d. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.012149076361 less than 19?\nAnswer: 42.012149076361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4 + 1. Suppose 0 = -f*s + 2 + 13. Suppose -r = -s*r. Solve w - 3*i + i - 1 = r, 16 = 4*w - 2*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 1, d: 3, n: 1, r: 2, m: 1}. What is prob of sequence ds?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 119, 144?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 20*a**2 + 516*a + 3422. What is z(-7)?\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:40 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-258)\/(-215) + (-66)\/5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 65, 29, -414, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3 + 2*s**2 - 16283*s + 525921?\nAnswer: 3*s**2 + 4*s - 16283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-21)*5*6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14425626 (base 9) in base 13?\nAnswer: 1639cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 698270 and 1386.\nAnswer: 483901110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*t + 1998, -j = -5*t - 536 - 493. List the prime factors of j.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2 + -2)\/((-9)\/(-36)). Suppose 2 = x*r - r. Suppose 5 - r = 3*w. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(-4 + (((sqrt(180) - 2*sqrt(180))*-3)**2 - sqrt(180)) + 2)*5.\nAnswer: -540*sqrt(5) + 145620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 7*c**4\/2 + 7*c + 41. Differentiate d(m) wrt m.\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3413*s - 662200. What is l(-194)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36212395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -1002*o + 1006*o. Sort -3, o, -2 in decreasing order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**3 + 3*f**2 + 2*f + 2. Let z = -40 - -38. What is the tens digit of g(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 28 = 40*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*s**3 + 35\/4*s + 11\/4*s**2 + 25\/4.\nAnswer: (s + 1)*(s + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1523390, 1523388, 1523386?\nAnswer: 1523384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 11 = h, -3*z + 3*h = -3. Let c be z\/4*(-25)\/15*-2. Solve 4*x = 21 - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20*u - 13. Let r(h) = 7*h + 4. Let k(t) = 4*m(t) + 11*r(t). Calculate the smallest common multiple of 2 and k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.71 - -230.19. Round a to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 41.8. Let r = -3.206 - p. Let h = 0.00611 + r. What is h rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + -1 - (10 - 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 7:17 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 13*v - 79 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 6500721*i\/4 + 84511401.\nAnswer: -3*(i - 52)*(i + 2166959)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 - f - 2. Let g be c(-2). Let n(u) = -u**3 + 13*u**2 - 12*u + 9. Let s be n(g). What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -1081, -1636, -2191, -2746, -3301?\nAnswer: -3856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9348 and -0.1?\nAnswer: 934.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*y + 19 - 5, 4*y + 6 = -5*m. Suppose -m*i + 26 = -24. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttftzafatit. Give prob of sequence ia.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 7*a - 30. Solve -a = -5*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 8.266?\nAnswer: 0.8266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by 32852.\nAnswer: 32\/8213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-63)\/(-154)))\/(7*(-32)\/336)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-156 + 45)) + -53?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-7\/10))*r*(r\/((r\/((r*r*r**(-1\/3))\/r))\/r)*r*r)\/r*(r\/(r*r**(-7)))**(-24) assuming r is positive.\nAnswer: r**(-4909\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -10. Suppose -4*s + 3*j = -s + 15, -3*j + 15 = 0. Suppose -4*g - y - 15 = s. Put 10, 2, g in decreasing order.\nAnswer: 10, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (19 + (-8 - -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 75*v**2 + 35*v - 83. Determine a(-38).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + (8 - -1) - (5 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 80.94. What is the nearest to v in 5, -2\/17, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3109 = 226*y - 58*y + 757 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819 divided by 1?\nAnswer: 2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 16, 9, 0, -11?\n\"Answer: -c**2 - 2*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 74005*w**5 + 1860005*w**4 + 9654575*w**3 - 25518005*w**2 + 14262240*w - 332820 = 0.\nAnswer: -258\/19, 1\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2432 - 22?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727 (base 13) to base 2.\nAnswer: 10011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/7 (b) 6 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) 793 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.1039 (c) 3 (d) -2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 40 + 40 + 105*t**2 - 114*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18604.48338 milliseconds to weeks.\nAnswer: 0.00003076138125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456899 is divided by 1228423?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 12. Suppose -5*y - 33 = 2*h, -7*h + 5*y - l = -3*h. Let p be 3*(-5 - -2)\/h. Solve -3*g - i + p = 5, 0 = 5*i - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16*1\/1*((-75)\/(-30) - 3). Solve -5*a = -9*a - 2*u + q, -a - 3 = -2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.1, 36.9.\nAnswer: -1\/7, -0.1, 36.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 314 = -260. Find the first derivative of -o*h - 18*h - 10 - 148*h - 35 wrt h.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/10 + 8*u**3\/15 - u**2 + 4*u\/5 - 17. Factor h(r).\nAnswer: -2*(r - 2)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68.6 + -12.6. Let x = 0.688 + -56.888. Let z = n + x. Which is the second biggest value? (a) 1 (b) 0 (c) 6\/11 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9*p - 160. Solve -2*x - 4*g + p = x, -37 = -3*x - 5*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 92 = -25*m. Solve m*c + 4 = 0, -2*y - 3*c - 9 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)\/(d\/(d*d\/d**(3\/7)*d)*d)*((d\/(d*d**(-1)))\/d)**44 assuming d is positive.\nAnswer: d**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvvwwwrvr. Give prob of sequence wry.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edkxekgid. Give prob of sequence eik.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -24 - 21*q + 46*q - 29*q. Let b be n(9). What is the tens digit of (15\/b - (-1050)\/8) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*1*sqrt(144) - sqrt(144)) + sqrt(144))\/(sqrt(192)*-2 + sqrt(12)).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 12)*(8 - 8 + 7*z) + 2 - 2 - z + (4 + 1 - 4)*(1 - z - 1))*(-3*z + 4 - 4 + (1 + 2*z - 1)*(-3 + 1 + 1) + 3*z - 5*z + 4*z).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*y - 198*y + 398*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*12\/(-30))\/(9\/((-810)\/12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1109*s + 32 wrt s?\nAnswer: 1109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110100 (base 2) to base 5.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 7*l**8\/7200 - l**7\/450 + l**6\/450 + l**5\/30 + l**2. Let i(j) be the third derivative of v(j). Factor i(k).\nAnswer: 2*(7*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 = 3117\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4753735000.\nAnswer: 2, 5, 7, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6*r + 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -11*s + 2*b - 4, -3*b = 3*s - 6. Suppose s = -4*q + 3*q + 346. List the prime factors of q.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13830 is divided by 988?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -39 (b) 7\/8 (c) -4 (d) 86 (e) 0.4 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-4))\/(1 - 2). Let i be a\/(-2) + 1\/2. Suppose -4 = -5*b - 3*h, 3*b - 2*h + i = 11. Put b, -1, 5 in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/(x\/(x*x**4*x)))\/(x\/((x*x**10)\/x))**(18\/13))**(1\/83) assuming x is positive.\nAnswer: x**(305\/1079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/10)\/((-727467)\/(-181866) + -4). Let j be (-10)\/(z\/(-75775) - -6)*6. Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x**2 - 8 + 8. Let t(p) = 5*p**2 - 8*p - 16. Let c(i) = -3*i**2 + 5*i + 10. Let v(k) = -8*c(k) - 5*t(k). Determine o(v(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 2773. Let k(d) = -4*d. Give r(k(i)).\nAnswer: 8*i - 2773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262912 and 425984.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 649 - 33 = 0. Which is smaller: -1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + 11)*-2*(22724\/7575 + -3). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 6. Let j(c) be the first derivative of c**2\/2 - 11*c + 1. Let l be j(9). Let i = -5 - l. What is u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 285 (b) 56174 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299 - 293. Solve -5 = y*w - 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - y - 6. Let p be u(-2). Solve -4*l - 19 = l - c, -p*l = 3*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 817416*k. Let y(o) = 3*o**2. Determine h(y(t)).\nAnswer: 2452248*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*(-4)\/(-18))\/(-2). Suppose x - 62 = -65. Let g = -0.3 - 0.2. Put s, x, g in descending order.\nAnswer: g, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 87*o + 6. Let y(u) = -u - 2. Give a(b) + 2*y(b).\nAnswer: 85*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((5\/(-10))\/(2\/(-4))). Suppose 7*l + 204 - 876 = d. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21709012 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 10) to base 13.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q. Let h(a) = 1681*a. Calculate h(x(s)).\nAnswer: 21853*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*p - 2*p = 9, -22 = 2*q - 5*p. Let t be 2 + (-3)\/7 + q. Find l, given that -2\/7*l + 0 - 2\/7*l**3 + t*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/12973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3789, -1\/8, 2 in descending order.\nAnswer: 3789, 2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470.13 - 3.13. Let h = a + -432.9. What is h rounded to zero dps?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i**2 - 1. Let n = -11 - -22. Calculate the remainder when p(4) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1\/8 (b) 5 (c) -5 (d) -1\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 9120?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 6*y**2 + 4*y**2)*(112*y + 92*y + 78*y).\nAnswer: -564*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*j + 93 = 5, 5*j - 196 = -2*s. What is the remainder when (-564)\/(-9)*567\/s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 4*d**3 - 2*d**3 - 2*d + (-2*d - 2*d + 3*d)*(0*d**2 + 0*d**2 - d**2) - 2*d**3 + 4*d - 9*d + 2*d**2 + 6*d.\nAnswer: 3*d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*1317\/(-27)*3?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 666 and 999.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37248 divided by 1\nAnswer: 37248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.001 - -0.03. Let g = 141.03 - 141. Let b = g - o. What is b rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:03 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22214 (base 6) to base 7\nAnswer: 12025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 7, 15, 23?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, -0.6, -5 in descending order.\nAnswer: -0.6, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**7*t*t*t**6*t)\/(t*t**(-2\/3)*t\/t**(-4)))**(-26))**(5\/7) assuming t is positive.\nAnswer: t**(-650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 l when three letters picked without replacement from {h: 7, l: 4, d: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 3) to base 10.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436012817 is divided by 473?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1431 = -1297. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1\/8, 0.2, 2, -1\/566, -1, 3 in decreasing order.\nAnswer: 10, 3, 2, 0.2, 1\/8, -1\/566, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*k + 2*j + 19, -4*j = -3*k - 23. Let b(s) = s**3 + 14*s**2 + 13*s + 16. Is 8 a factor of b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 12. Is 9 a factor of b\/(-45) + (-320)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from {s: 4, d: 4, q: 8, u: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -808\/63 - -89\/7. Let f be (((-30)\/(-4))\/(-5))\/(-3). Sort t, 1, f in descending order.\nAnswer: 1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a565 (base 15) to base 5\nAnswer: -2104340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(-10) - 3\/15. Suppose -20 = -3*h + h. What is the greatest common divisor of h and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*c**3*p*x**3 + c**3*p + 2483*c*p*x**3 + 2*c*p - 3*c*x**3 - 2*c*x - 5*p*x**2 - 62747*x**2 wrt x?\nAnswer: -228*c**3*p + 14898*c*p - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 64 = 15*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/206 and ((-45795)\/3010)\/(1 - -86).\nAnswer: 41818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47051 - 2*c**3 - 47050 + 3*c**3 - 527*c + 12*c**2 + 0*c + 0*c - c**3 + (-4*c + 4*c - c**2)*(-4 + 4 + 2*c) as j*c**2 + a*c + i + v*c**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 - 2*f**2 + 4*f**2)*(-25 + 4 + 9) to the form h + b*f**2 + w*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.5 + 18.5. Which is the closest to -5\/6? (a) f (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -50894*x + 50854*x + 175 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -z + 6, 34 = 4*z + 5*g + 9. Differentiate z*q**4 - 4*q**4 + 10 + 10*q**4 with respect to q.\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:59 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 + 545*y**2 - 5*y - 545 = 0 for y.\nAnswer: -109, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**3 + 191*v**4 - 8 - 94*v**4 - 92*v**4 + v + 52*v**3 + 9 as f + i*v**2 + y*v + m*v**3 + c*v**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2858, 2857, 2856, 2855, 2854, 2853?\nAnswer: 2852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s. Suppose 5*c = n - 7 - 9, s = 3*n + 3*c - 84. Suppose 4*p + 54 = 2*l, -4*l + 13 = 4*p - 83. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 712*u - 718*u + 4*c + 2, -100*u + c = -99 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1400106 by 6.\nAnswer: 233351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d (base 15) to base 11.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, -3, -2\/17, 18, -2, 0, 1\/2 in ascending order.\nAnswer: -3, -2, -2\/17, 0, 1\/2, 18, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 45*x - 46*x + 10, y + 8 = -x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 376655 + 376677 = -2*q, 3*q + 3 = -l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022001 (base 3) to base 2.\nAnswer: -11010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/480 and 53\/2080.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from yzbeyeyhezzhozb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5093786 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -205, -318, -447, -598, -777, -990?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - c**4 + 0*c**2 + (-3*c**2 + 1 - 1)*(-c**2 + 0*c**2 + 3*c**2) + (-c + c + c**3)*(-c - 2*c + 2*c) + (c**2 - 2*c**2 + 3*c**2)*(-c**2 + c - c).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -21*o + 375. What is the remainder when 83 is divided by r(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/10*o**5 - 7\/12*o**4 + 0 + 0*o + 5*o**2 + 10\/3*o**3. Let h(q) = -2*q**2 - 5*q + 7. What is -17*h(d) + 6*j(d)?\nAnswer: -2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 6. Which is the nearest to 0? (a) 1\/5 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86922117 - 0.5\nAnswer: 86922116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 2*l - 132. Let r be (l - (-6 - -1)) + -2. What is the greatest common factor of 6 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 - 158*i**2 - 9472*i + 755688 = 0. Calculate i.\nAnswer: -69, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - -8)*(-7)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 27. Let o(i) = -i**3 - 48*i**2 - 2*i - 101. Let d be o(-48). Let g(b) = 4*b + 26. Calculate d*u(z) + 6*g(z).\nAnswer: -z + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 22*z**2 - 1 - 20*z**2 - 3*z + 3*z**3. Let h(d) = -7*d**3 - 4*d**2 + 5*d + 1. Determine 2*h(q) + 5*v(q).\nAnswer: q**3 + 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18706469, -37412938, -56119407, -74825876, -93532345, -112238814?\n\"Answer: -18706469*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456.78 take away -4.6?\nAnswer: 5461.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 98513568*y\/11 - 1213115385011328\/11.\nAnswer: -2*(y + 24628392)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13831277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 2*o**2 + 2. Suppose -3*x = 6 - 0. Determine t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*(sqrt(352) - sqrt(22)) - -2*sqrt(2200))*-5)\/((sqrt(2) - sqrt(12)\/sqrt(96)) + sqrt(288)).\nAnswer: -520*sqrt(11)\/51 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3451 + 3591.7. Let y = m - 148. Let l = y - -3.3. What is the smallest value in l, 2, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2547 divided by -16.\nAnswer: 2547\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5170 = 108*o - 58*o + 60*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6 + 2*n**2 + 2*n**2 + 0*n**3. Suppose -2*q - 4 = 2*l, -3*l - q = -l - 1. Let v be z(l). Solve 0 = v*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1*(-13)\/(-13))\/((-1663)\/(-78161))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(5 - 26\/4). What is the biggest value in -0.3, m, 3\/5, 0.5, -5\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*i + 104*i - 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwwu when four letters picked without replacement from uwzuzwzzuu.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/3 - 1 - (-6 - -1). Solve -20 = 6*r - g*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899065.\nAnswer: 5, 179813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n + 2*h + 77 = 3*h, -270*n + 4*h + 18 = -269*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*i = -33, 169*i + 5 = 174*i for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*9\/(-15)*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.52 + -478\nAnswer: -477.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 5*g - g + (1 + 1 - 3)*(2*g + 2*g - 2*g) - 3*g + 5*g - 4*g + 6*g - 3*g + 8*g - 3 - 2*g + 3.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/3 and 62\/96045?\nAnswer: 96045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(200) - 1*sqrt(200)) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 6964 in descending order.\nAnswer: 6964, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-8) + 6\/16. What is the fourth biggest value in 0.2, -1\/14, r, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 9. Let j(c) = c - 1. Let h(s) = 4*j(s) - r(s). What are the prime factors of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 18. Let i be j(17). Suppose 9 + i = 5*f. Factor 0 + 2\/11*m**3 + 4\/11*m**f + 2\/11*m.\nAnswer: 2*m*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d**2 - 2*d**2)*(-113*d + 268*d - 415*d).\nAnswer: 780*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.1, -16\/7, 4?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:35 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 - p**2 - 5*p - 3. Let n(v) = 14*v**3 - 3*v**2 - 14*v - 8. Let c = 31174 + -31177. What is c*n(g) + 8*x(g)?\nAnswer: -2*g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 2, z: 2, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -6*f. Let n(r) be the second derivative of 0*r**2 - r + 0 + 1\/12*r**4 + 0*r**f. Factor n(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*1.157757\nAnswer: -0.21997383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92\/63 + 8\/63. What is the closest to 7 in -0.07, -2, -3, k?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let b(k) = k**2 + 8*k + 10. Suppose -4*m + 4*c - 44 = 0, 2*c - 10 = -4*m - 30. Let h be b(m). Sort h, 1, y in increasing order.\nAnswer: y, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Let y(p) = 12*p + 8. Let m(k) = -k + 7. Let x be m(3). Suppose 2*r - x = -0*r. Let o = -12 + r. Determine o*t(w) + y(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5*m**3\/6 - 21*m**2\/2 + m - 17. Determine b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1961*g - 1970*g - 36 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 25*j**6 + 4*j**2 + 5*j + 5. Let n(s) = -s**6 + s + 1. Let p(q) = -k(q) + 5*n(q). What is the third derivative of p(b) wrt b?\nAnswer: -3600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1545 and 108.\nAnswer: 55620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*p + 121*p - 30*p - 31*p + 296 - 30*p in the form w + f*p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64872296, -64872286, -64872274, -64872260, -64872244?\n\"Answer: g**2 + 7*g - 64872304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865*a + 17 = 848*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let j(i) = -10*i**2 + 14*i - 14. Let w = -2 - -16. Let h(o) = -2*o**2 + 3*o - 3. Let d(b) = t*j(b) + w*h(b). Let p(k) = -k**2. What is p(d(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14644, -14626, -14594, -14548, -14488?\nAnswer: -14414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2784 = 5*y + 4*z, 2*y = 4*y - 4*z - 1108. List the prime factors of y.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**6\/v))\/(v*v\/v**(-1\/3))*v\/(v*v\/(v**(-2\/9)*v)*v*v)*v**10*v*v)**11)**(3\/29) assuming v is positive.\nAnswer: v**(341\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3025.74 + -54.\nAnswer: -3079.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258822*k**6 - 3*k**5 - 348075*k**2 + 2*k - 1?\nAnswer: 31058640*k**3 - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 10*c + 9. Let d be n(9). Let w be 6\/d - (-3 - 4820\/(-6)). What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zzzzzzqqzzq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 288002428.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1133132 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 1. Let s(q) = -4 - 6 - 3*q - 28*q + 1. Let z(y) = -4*c(y) + s(y). List the prime factors of z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -785778572 + 6.8\nAnswer: -785778565.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 7*d**2 - 11*d + 2. Determine q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:06 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7\/6, 1, -5, -19470.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(637))**2*2 + (sqrt(39)\/(sqrt(3)*1)*2)**2.\nAnswer: 20436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32955 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 y when four letters picked without replacement from {y: 13, z: 5}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 73*u**2 + 652*u + 14820.\nAnswer: (u - 57)*(u - 26)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60967709 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 832.7217km?\nAnswer: 832721700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*v + 624*v - 2222*v - 1190*v.\nAnswer: -2487*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.312 - -4.742. Round i to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 33, 50, 67?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = -347 + 299. Let x(h) = h**2 - 6. What is x(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 105. Suppose h + 131 = -2*b, -5*b + h - 133 = -l*b. Let g = -64 - b. Solve -g*x + 6*x = -2*v - 30, -15 = -x + 4*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5387 is divided by 443?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24428, 48892, 73380, 97892, 122428, 146988?\n\"Answer: 12*i**2 + 24428*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 480 - 480 - 2*m. Suppose 2*q - 3*q = -4*i + 17, 2*i + 4*q = 22. Let n = i + -9. Give u(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555822900 rounded to the nearest 100000?\nAnswer: -555800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185763 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*v - 256*v - 90*v + (0 + 2 - 4)*(2*v + 0*v - 4*v) - 1 + 1 + 2*v to the form i*v + n and give i.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 + 162. Let v(r) = 2*r + 0*r**3 + 3 - r**3 - 5*r**2 - 5*r. Determine v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.372 from 0.58.\nAnswer: -1.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z = -214*z + 1628 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 80406.\nAnswer: 80406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 9. Let h be z(5). Suppose -h*f = 342 + 386. Let a = 277 + f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 61*v - 317. Determine g(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/270 + 5*c**4\/108 - 22*c**3\/9 + 180*c**2. Find u, given that j(u) = 0.\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84081323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120.42 + -3.58. Let t = v - -124. What is the third smallest value in 2, t, 10, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188 - 8*w**3 - 107 - 72 - 8*w**2 + w**2 to the form f*w**2 + d*w + r*w**3 + p and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*k + 311848 = 311923 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5657, -4620, -3269, -1448, 999, 4228, 8395?\n\"Answer: 26*o**3 + o**2 + 852*o - 6536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -74. Let o be (6\/r)\/(2*7\/(-840)). Suppose -o = -3*f - 2*i, -3*f + 4*i + i + 111 = 0. What is the highest common divisor of f and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1260*z - 76*z**2 + 1260*z)*(9 - 4 + 6)*(-3*z + z + 3*z).\nAnswer: -836*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6066 is divided by 103.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*4 + 6\/3. Suppose -4*v = 2 - p. Let b be 107\/6 + 4\/24. What is the highest common factor of b and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250 = 497*k - 9187 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 10*n + 19. Let f be r(-11). Let k = 361 + -172. Suppose 5*h + k = f*h. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -30) + (0 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4189476 or -4189490?\nAnswer: -4189476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 904 + -818. What is the remainder when a is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25197 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o**3 - 8*o**2 - 13*o - 7. What is i(-3)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 - (-3 + 1))\/(7\/((-132160)\/(-12)))?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/293564?\nAnswer: 3\/293564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 16*v**2 + 5*v - 13. Let g be (-4 - (-260)\/(-22)) + 4\/(-22). Let l be j(g). Let y = 97 + l. Solve -y*a + 18 = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66.3 - -421.7. Let b = h + -487. What is the closest to b in -1\/9, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, y: 1, h: 4, g: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 - 9*c**2 + 9*c + 51. Let s(f) = 3*f**3 - 9*f**2 + 8*f + 42. Determine 5*n(k) - 6*s(k).\nAnswer: 2*k**3 + 9*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -20 + -11 + (7 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6 - 4 + y + 1 - 2. Suppose -4*u - 2 = -3*u. Calculate x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(5 + 2\/(-2)). Suppose j = d - 635 - 189. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*r - 4 = -4*r, -3*u - r = 21. Suppose x + 10 = -0*x - 5*j, -8 = 4*j. Let o = x - u. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-26)*(-1200)\/((-528)\/(-22)))\/(2\/10).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -11 - 17) + 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(380)\/(sqrt(30)\/sqrt(3)) + (sqrt(228) - sqrt(228)*-1)\/sqrt(6))\/(sqrt(2) - -2*sqrt(2)*5 - sqrt(2) - -2*sqrt(8)).\nAnswer: 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u**3 + 23*u**2 + 87*u + 275. Calculate v(-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:20 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let l = 8 - 10. Let k(i) = -15*i**2 - 33*i. Let y(a) = a**2 + 2*a. Let s(t) = l*k(t) - 33*y(t). Give c(s(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.25 times 0.2?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -3*i**7\/14 - 4*i**6\/5 - 3*i**5\/20 + 2*i**4 + 2*i**3 - 11*i. Let w(r) = 0. What is r?\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 0, n - 5*q + 0 = 4. Suppose 5*a - w - 5650 = 0, n*a - w - 2260 = 2*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -8\/9, -120\/7, -979?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215699.\nAnswer: 3, 311, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1885\/2 - -908. Let g be (-362)\/(-10) + (-7)\/35. Calculate the common denominator of n and (g\/(-78))\/(-3) - (-2538)\/(-104).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -41. Suppose -11*m + y*m = -182. Suppose 0 = -5*c - 67 + m. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 1.6. Let j = h + -1.7. Which is the closest to 1\/2? (a) -3\/4 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2647*i - 9072 + 9072 in the form b*i + o and give b.\nAnswer: -2647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -838*w**3 + 163234*w - 1.\nAnswer: -5028*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y**2)*(-3*y**2 - 3*y**2 + 4*y**2) - 4*y + 4*y + y**4 - 2*y + y**4 + 2*y + 3*y**4 - 3*y**4 - 3*y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:56 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k + 0*k**6 + 5\/84*k**8 - 1\/60*k**5 + 0*k**4 + 0*k**7 + 0*k**3 - 17*k**2 + 0. What is the third derivative of c(i) wrt i?\nAnswer: 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 22*p - 12. Let b be o(6). Solve 5*s + 2*w + 8 + 0 = 0, b = 4*s + 5*w + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 3*j + 565. Let x be 2\/(-5) - 302\/(-5). Let w = j + x. Let v(m) = -3*m. Determine v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 115048*h**3 - 2205853632*h**2 + 14093932912128*h + 56411032670208.\nAnswer: -2*(h - 19176)**3*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9851\/4 - 2445. Calculate the common denominator of -83\/16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose 3*m = -m. Find the first derivative of 3 + c**3 + k*c**3 + m*c**3 wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - c - 7, s + c = -127 + 135 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v**3 - 5*v**2 - v - 5. Let x(r) = -19*r**3 + 6*r**2 + r + 6. Let k(p) = -5*q(p) - 4*x(p). What is k(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5083 - 662 = -410*j - 4189 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - a. Let h(d) = -4*d**3 - 126*d**2 - 131*d. Let x(t) = h(t) - 3*m(t). Factor x(z).\nAnswer: -4*z*(z + 1)*(z + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 834\/12 - (-3)\/6. Let b = -28 + t. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Let f be 4\/6 + 3\/(-9). Let q = 3178.9 - 3174.9. What is the nearest to f in q, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2 - v. Let h be i(-2). Let p = h + 4. Let g = -1.3 - -0.3. What is the closest to g in -2, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64810479?\nAnswer: 3, 21603493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 4*p - 58. Let i be x(6). Let w = 2 + 4. Find the first derivative of -v + w + i + 0*v wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.59 - -1.41. Put r, -11, -2 in increasing order.\nAnswer: -11, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(-32) + 0 - -3. Let m = j - 11\/8. Let q(h) = 2*h**2 - 5*h - 3. Let t be q(3). Sort t, m, -2\/7.\nAnswer: -2\/7, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**3 + 2*y**5 - 7*y**3 + (4*y**5 - 2*y**5 + 0*y**5)*(65 + 150 + 25).\nAnswer: 482*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-14 - 13) - 31 - 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 77. Let d = 61 - g. Solve -11 = -3*n + d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -3 + 0 + 11 - 19) + -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:14 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -3\/11, 3 in decreasing order.\nAnswer: 13, 3, 2, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3543222 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 203*l + 13*l = -214130. What is the lowest common multiple of 184 and l?\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*p**3*q**2 + 2*p**3*q - 7*p**3 - 8*p**2 - 2*q**2 wrt q?\nAnswer: 8*p**3*q + 2*p**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. What is the units digit of 7 + (1 + -2)*j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**(1\/29))**(-11) assuming t is positive.\nAnswer: t**(44\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i**2)*(-383*i + 2 + 383*i + 19*i**2).\nAnswer: -38*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 140 = -2*v + 143 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*z - 82*z + 115*z + (4 - 2 - 1)*(-z - 4 + 4) + 0*z + z + z.\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1992 + 1997. Suppose 4*g - 61 = 27. Solve b*u - g = -7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2 - 282*n - 19881 = 0.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let i = d - 4. Let c(s) = -s + 2. Let b be c(3). Put i, b, 0.3 in ascending order.\nAnswer: i, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2072509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*f + 18, z + 2*f = -26 + 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v - 103*v - 50*v - 32*v in the form l*v + f and give l.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Let h(g) = 1. Let v(t) = -t - 4. Let k(b) = -2*h(b) - v(b). Let d be k(6). Put u, d, -1 in increasing order.\nAnswer: u, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220034\/9 + 24448. Which is the fourth smallest value? (a) 0.3 (b) y (c) -1\/4 (d) -73 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -115742589.\nAnswer: 1\/115742589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 6*c**2 - 4*c + 6. Let a(u) = u**2 - 3*u - 10. What is the remainder when w(4) is divided by a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309 divided by 309\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/7, -5, -125.2 in decreasing order.\nAnswer: 2\/7, -0.3, -5, -125.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - -23?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 4*g + 2*g - 3 + 3 + g - 3*g + g + (-1 + 0 + 3)*(0*g + g - 3*g))*(-2 + 2 - g**2).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -722359.508349 + 722358. Let j = -0.008394 - r. Let y = 1.5 - j. What is y rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.4, -0.3, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from sbgjigs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16908 divided by -8.\nAnswer: -4227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 6*a**2 + 4*a + 15. Suppose 4*x = -16, 7*y + 4*x + 46 = 2*y. Let h be z(y). Find the common denominator of ((-68)\/h - (3 - -1)) + 4 and 56\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 + 95 + (-63 - -181)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -0.6 (c) -0.4 (d) 2 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-30)*(-9)\/(-18)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -21. Let y be (o\/(-3) - 1)\/(20\/(-240)). Calculate the highest common divisor of 36 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -79. Suppose -8 = 5*c - 7*c. What is the greatest common divisor of c and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/525, 0.1, 5?\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 396132?\nAnswer: 37632540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-9))*t**36*t*t*t*(t\/(t*(t\/t**(-3\/20))\/t))\/(t*t**11*t) assuming t is positive.\nAnswer: t**(697\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, and 1 e when three letters picked without replacement from {q: 3, u: 1, t: 1, e: 1, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27)*((-15)\/(-80))\/((-54)\/108)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -23432 at least -23432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfrcvfs. What is prob of sequence vrcs?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*y**2 - 4*y**2 - 680*y**2 + 130*y**2 - 1481*y**2.\nAnswer: -2445*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(4050) + 2 + ((1*sqrt(160))\/sqrt(8))\/(3*(sqrt(40) - sqrt(10))).\nAnswer: 4 + 136*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = 3*f. Let z be (6\/f)\/((-2)\/(-8)*-2). Solve u - 20 = -z*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l + l)*(-138*l**2 + 220*l**2 - 1 + 111*l - 92*l)*(-l + 2*l + l) as m + h*l**4 + p*l + d*l**2 + a*l**3 and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*o + 5*o. Suppose 20 = -5*j, 2*h - 52 = -2*h - 5*j. Is o\/6*5028\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69\/44 + 20\/11. Let n(a) = a**3 + 5*a**2 + a - 3. Let t be n(-5). Let r be (-4)\/10*(-4)\/t. What is the nearest to b in 3, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuf when three letters picked without replacement from ftfuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2344 - -3?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10692151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*n + 180960 = -4273*n + 303*n - 778*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 1484. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6876896261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -579*t**2 - 97379*t wrt t?\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1)\/(40 + -43). Suppose -3*b - 16*b + 56867 = w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 8:17 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*c + 1250, 0 = -2*b - 0*b + 3*c + 2507. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, k: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 14\/(-4)) + 7\/14. Solve 0 = 3*n + 10 - v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9434294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 2, j: 2, n: 1, c: 2, x: 5}. What is prob of sequence zxj?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:55 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26b6a8 (base 13) to base 16\nAnswer: -e5507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13465407 to the nearest integer?\nAnswer: 3670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, -2, -2\/5, -4, -5, -2326?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let t(u) = 57*u**2 + u + 1. What is -t(f) - x(f)?\nAnswer: -57*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 876 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:21 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -49. Suppose 0*x = 4*x - a. Calculate the remainder when 41 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjp when three letters picked without replacement from {n: 1, p: 2, b: 2, j: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 15*g - 5*g - 170 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 19*y**2 - 826475*y. Let a(k) = -3*k**2. Calculate z(a(c)).\nAnswer: 171*c**4 + 2479425*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 f, and 1 v when four letters picked without replacement from vvffzaaz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*j = 8*j - 3994, -5*t - 5*j = -19990. What are the prime factors of t?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-8))\/(11\/(-33)). Put 0.3, 2, l in decreasing order.\nAnswer: 2, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 63*f**2 + 193*f + 34. Determine d(-28).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70962454?\nAnswer: 2, 17, 19, 109849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(864)\/sqrt(9)))\/(sqrt(99)*-1 + sqrt(44)\/sqrt(16)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(200)*-1 + -3)*1)**2 - (-4 + 2*sqrt(200) + (sqrt(200) - (2 + (-2*sqrt(200))**2)))).\nAnswer: -5075 - 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/(-16))\/(438\/584))\/((4\/(-3))\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/265491852 and -55\/9.\nAnswer: 796475556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6024*u + 5284*u + 2940*u + (0 - 6 + 5)*(4*u - 4*u - 2*u) - u + u + u)*(2 - 2 + 2) in the form s + y*u and give y.\nAnswer: 4406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1924\/8613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*t - 12. Let v(q) = -2*q + 26. Let w be v(8). What is the highest common divisor of w and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*m - 2*m = -12, 3*m = 9. Let u = 0.6 + 1.4. What is the third biggest value in 1, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 4*b)*(b + 4*b - 4*b)*(-4 + 6 - 4).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) -2\/5 (c) 5.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 21*r + 319. Let g be a(10). Solve -g*d = -17*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-12 - -21)) + (-4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 29 = 4*h. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 5 - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -3642?\nAnswer: 14568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -109. Which is the closest to x? (a) -0.5 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717 - 383 = -b + 353 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40184033.\nAnswer: 263, 152791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -37. What is the smallest value in -4\/5, y, 0.5, 3\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let l(w) = w - 1. Suppose -4*v + 15 = -v. Let z be l(v). Let c(t) = t - z*t + t. Give f(c(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11072 + 11076. Solve -6*v + 4 = 4*r - 9*v, r - f*v = 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 - -1.4. Let j = -7.1 - 0.9. Let n = b + j. What is n rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:23 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*m + 18. Calculate the remainder when ((-117)\/(-15))\/((-1)\/(-5)) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 444?\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15529 by -3.\nAnswer: 15529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1011000011111011100 (base 2) to base 4\nAnswer: -1120133130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3330 divided by 666.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*g + 45*g - 33 = -56*g. What is the closest to -3\/5 in g, -0.3, 0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/8 - 3\/40. What is the smallest value in 0, 32, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/4 - (-5)\/(-5). What is the remainder when 49 is divided by 1290\/75 + x\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -598*c**2 - 8*c + 15. Let a(z) = 299*z**2 + 4*z - 9. Give -5*a(j) - 3*y(j).\nAnswer: 299*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67619.8 - -61809. Round a to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -743 - -1698. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89754000 to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozovvvo. What is prob of sequence ooo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 46981?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, 3 in increasing order.\nAnswer: 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3 - 4 + 3)*(-4*g**5 - 3*g**5 + 4*g**5) + (-2*g**5 - 2*g**5 + 5*g**5)*(-3 + 0 + 1) - 2*g**5 + 0 + 0 + 38*g**2 - 32*g**5 - 38*g**2.\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u*u\/u**(-7))**(-2) assuming u is positive.\nAnswer: u**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 8 - 4*o**3 + 2*o**3)*(-o**2 + 3*o**2 + 0*o**2).\nAnswer: -4*o**5 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*q - 124, -2*k + 10*q = 11*q + 223. Let j(s) = 2*s**2 - 7*s + 1. Let b be j(-5). Let p = b + k. Which is smaller: p or -27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 4 + 0*h - 2\/21*h**3 + 1\/7*h**2. Factor z(v).\nAnswer: -2*v*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023084876 rounded to six dps?\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/7, -1\/4, -6, 0.5, 1662 in increasing order.\nAnswer: -6, -2\/7, -1\/4, 0.1, 0.5, 1662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 1. Calculate n(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1\/2, 204\/7, -10348?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 - 12. Let f = -104.945 - 16.055. Let j = u - f. What is the closest to -0.1 in -4, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6540996001 + w**2 - 6540996001.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(-5 - -4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1589112, 1589115, 1589128, 1589157, 1589208, 1589287?\nAnswer: 1589400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = 19. Let h(v) = 2*v + 0*v - 6 - 3*v + 0*v. Give h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16075 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 5051131?\nAnswer: 5051133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 367046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 464, 1509, 3578, 7013, 12156, 19349, 28934?\nAnswer: 41253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 18662 = 3*c - 2*c - 18670, 4*c + 2*f - 28 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3 and 13\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 222 - 210 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 123. Calculate the remainder when 24 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 35*t - 63. Let r(d) = -7*d + 13. Give -11*r(k) - 2*u(k).\nAnswer: 7*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 107?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7746 by -2129.\nAnswer: -7746\/2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*h + 1 = 0, -h - 2*h = -b - 5. Let u be -4 + 4\/b - -21. Let x = 28 - u. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 3*s**2 + 75874 + 4*s**2.\nAnswer: s**2 + 75874","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 38*j + 745. Let s be o(-20). Let p(u) = u**2 + 18*u + 38. What is p(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + ((-920)\/(-18))\/(-5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*a - 2 + 2 - 2 + 3 - 503*a as q*a + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/32)\/j**(1\/9)*(j\/j**(-8\/3)*j)**(-1) assuming j is positive.\nAnswer: j**(-1385\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s + 2 = 2 - 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1344 (base 6) to base 9\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 0, 4, -239 in decreasing order.\nAnswer: 4, 0, -5, -8, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n**4 + (-36 + 36 - 9*n**2)*((-3*n - 2*n + 2*n)*(-n - n + 5*n)*(0 - 1 + 0) + 3*n**2 - 4*n**2 - 2*n**2).\nAnswer: -52*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-28698)\/(-10))\/(28\/(-1610)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 143. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.63 + 55.6324397. What is z rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from bsznk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1224553150 + -1?\nAnswer: 1224553145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/54 + (-474)\/(-135)*(-35)\/(-42). Let o(i) = i**2 + i. Let s(t) = 7*t**2 + t + 3. Let c(l) = -6*o(l) + s(l). What is c(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.03566 * -5.\nAnswer: -5.1783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a - a**2 - 3*a**2)*(-6*a + 2*a - 7*a) + (4*a - 7*a - 3*a)*(-2*a**2 + 2*a**2 + 2*a**2).\nAnswer: 32*a**3 + 44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79711 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495, 992, 1491, 1992?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6408.3384 milliseconds to hours.\nAnswer: 0.001780094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15713, 31430, 47147, 62864, 78581, 94298?\n\"Answer: 15717*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 - 16 = 15*r + 7 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -333, -331, -329, -327, -325, -323?\n\"Answer: 2*k - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00175 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o. Let s(f) be the second derivative of 0*f**2 - 1\/6*f**3 + 0 - 41*f. Let b be -2*1\/(-2)*-4. What is b*s(w) - d(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2899\/3868 - -1\/1934. What is the biggest value in -5, 2, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*n*o**2 + 12*k*o**2 + k*o + n**3 - 67*n*o - o - 6 wrt n?\nAnswer: k*o**2 + 3*n**2 - 67*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8449 - -101447\/12. What is the common denominator of x and -23\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -13*g**6\/60 + 4*g**3\/3 - g**2. Find the first derivative of x(s) wrt s.\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/47)*w**(-14)*w\/(w*w**13)*w*w\/w**4)**6 assuming w is positive.\nAnswer: w**(-7902\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5409 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-5)\/3 - (18 + (85595\/153)\/(-19)))\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2630.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 3153, 6006, 8859, 11712, 14565?\nAnswer: 17418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 4 (b) 0.65 (c) -2\/9 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**8\/168 + k**7\/420 - k**6\/20 + k**5\/24 + k**4\/24 - 118*k**2. What is n in t(n) = 0?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 36*w**2 + 6*w - 3. List the prime factors of b(-2).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2. Let x(t) be the first derivative of -1\/8*t**4 + 2 - 9\/2*t**2 + 0*t**3 + 0*t. Let s(z) be the second derivative of x(z). Determine k(s(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 420 + -419. Let p be (k\/(-2) + 3)*132\/30. Let q be ((-66)\/5)\/((-6)\/15). Calculate the greatest common factor of q and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2. Let k(t) be the third derivative of 0*t - 5*t**2 + 0*t**3 + 1\/12*t**4 + 0. Give k(a(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from ewyeewgge?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27035 - -5?\nAnswer: 2703a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -91602.9311 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2148 + -2262?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) 407.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 5*z**3 + 3*z**3 + 3*z**3 + 3*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 385551578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -x - 18, 2*y - 15 + 11 = 3*x. Is -3 + 3 - (-19893 - y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/52*(-12)\/(-45)*-2)\/(39\/715)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-153)\/2)\/((12\/16)\/(-1)). Let z = o - 100. Put 4, z, 3, 1 in increasing order.\nAnswer: 1, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*m - 7, -4*q = -q + 3. Let t be m\/(-14) - (-145)\/7. Is (-12)\/(-28) - (-726)\/t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b + 5. Let d(m) = 15*m**2 - 141*m + 69. Determine -d(c) + 15*g(c).\nAnswer: -15*c**2 + 36*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2722477200 to the nearest 1000000.\nAnswer: -2722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/16)*m**(-47))\/(m*m\/(m*m\/(m**(11\/3)*m))*m\/(m*m**(-2\/33))) assuming m is positive.\nAnswer: m**(-9137\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let q be (-18)\/(-28) - r\/(-2). Which is the biggest value? (a) 0 (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.34, -1\/3, -2\/255, 14, -0.26?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, t: 2}. Give prob of picking 1 t and 3 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47675943 divided by -17\nAnswer: 47675943\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 64 = 3*s - 6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + sqrt(22)*1)\/sqrt(2))**2 - (sqrt(11)*1 + -2).\nAnswer: -sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 0 = j*o - 3*o + 77. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b2 (base 15) in base 9?\nAnswer: -5425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 3)*(-1)\/3. Suppose -2*h - 2*z + 50 = -7*z, -h = -z - 28. Suppose o + t*o = h. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 993*r + 8416 = 1785*r - 266*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101359765.\nAnswer: 5, 13, 79, 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16152415\/4 + 240788327\/60. Let z = -24969 - a. Find the common denominator of z and -37\/57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 32. Let l be v(5). Solve -4*b + d = -6, l*d = -0*b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 + 35*u**4 - 75*u**3 + 45*u**2.\nAnswer: -5*u**2*(u - 3)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-28)*(-14)\/4. Let o(y) = 4 + 4*y + y**2 + 0*y**2 + 0*y**2. Let a be o(-3). Solve f + a = 5*m, 14 = 5*f - 2*f + r*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*g**4*k**2 - g**4*k + 2*g**2 + 9*g*k**2 + 6*g*k wrt g.\nAnswer: -264*g**2*k**2 - 12*g**2*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16641024 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 258407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -329455050.75 and -551.\nAnswer: -329455601.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1142, -2030, -3534, -5672, -8462, -11922, -16070?\nAnswer: -20924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*s - 0 - 16, -s + 1 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8608\/3 or -2870?\nAnswer: -8608\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.11 + 0.11. Let z(m) = -m + 12. Let w be z(9). Let g be w + 0 - (-18)\/(-5). Put f, g, 1\/7 in increasing order.\nAnswer: f, g, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28885 - 26315 = 1104*g for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 - -330. What is the lowest common multiple of 2 and n?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -497? (a) -13 (b) -0.281 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (8400\/(-1100))\/(4\/(-22)) and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883306085 to the power of 1\/2, to the nearest integer?\nAnswer: 29720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - -1. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.19812 and 2.7?\nAnswer: -3.234924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.224678, -1\/7, 4, -10\/9?\nAnswer: 0.224678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -2. Let x be (-446)\/(-7) + 2\/7. Suppose 5*i - x = i. What is the least common multiple of c and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45193437?\nAnswer: 3, 1673831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 1116*b**2 + 2*b - 1114*b**2. Let k(q) be the third derivative of 7*q**4\/24 - q**2. Determine s(k(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86*f**3*h*i - f**3*i + 130*f**2*i**3 - 4*f**2*i - 23*f - 40006*h*i**3 + 5*i**3 wrt h.\nAnswer: 86*f**3*i - 40006*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 53, 19, -3, 3, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3549716 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.34 - -2.497. Let c = -0.15324 + u. Round c to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y - 2)*(-1 - 1 + 1)*(-6*y**3 - 444*y + 439*y + 67*y**3).\nAnswer: -61*y**4 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 26*y**5 - 4*y**3 - 4*y**2 + 2*y + 13. Let x(a) = a**3 + a**2 - 1. Let b(w) = -u(w) - 4*x(w). Find the second derivative of b(g) wrt g.\nAnswer: -520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -402 greater than or equal to -215971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {i: 2, g: 4, z: 3, v: 8}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**(2\/57)*n*n)*n)))\/(n*n**(2\/7))*(n*n**(-2\/7))\/(n*n\/n**(4\/3)) assuming n is positive.\nAnswer: n**(-508\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4536, -9013, -13504, -18015, -22552, -27121?\n\"Answer: -d**3 - d**2 - 4467*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {n: 4, o: 2, t: 8}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 11*o + 6. Let i be a(-6). Let v = 17 - i. Suppose 0 = -3*k - v*b + 5, -3*b + 5*b = -4. Solve -8 = k*s + 3*h, 8 = -3*s - 5*h - 0*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 484 and 938718?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 11:56 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d. Let f be a(-8). Let m be f\/6*(0 + 4). Suppose -m = -4*v + 5*k, 5*v - 2*v - 12 = 2*k. Let n(c) = -c**2 + 4. What is n(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 6. Let i be 20\/35*g\/8. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3334*s + 4636*s - 12081*s.\nAnswer: -10779*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215566 divided by -2.\nAnswer: 107783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171244.8132 rounded to the nearest 100?\nAnswer: 171200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/10)\/(6\/8). Let m(g) = 17*g - 8. Let v(t) = -18*t + 8. Let z(h) = w*m(h) + 3*v(h). Let b(l) = -7*l + 3. Determine 8*b(d) - 3*z(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(720) - (2 + (sqrt(20)\/sqrt(4) - sqrt(5))).\nAnswer: -2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = 18. Suppose 3*h + 1 - a = 0. Solve 2*m - 3*m - h = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 2510*c**4 + 2904295*c**3 + 503711360*c**2 - 2049776900*c + 2061434000 = 0. Calculate c.\nAnswer: -305, 2, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (126\/10 - (-6)\/15). Suppose -19*i = -q*i - 4. Suppose 7*w - 5*w - 174 = 3*x, -i*w + 188 = 4*x. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 683031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131547517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -215*k + 12253 - 13543 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3103223 + 12303?\nAnswer: 3122132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -52. Suppose 4*s - b*s = 2460000. Round s to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k + 3*u = -3, 0 = -3*k + 5*u + 5. Let h = 272 + -2179\/8. Which is greater: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*t - 12, -n = -2*t + 2*n + 2. Let p(d) be the second derivative of -14*d - 1\/6*d**3 + 0*d**2 + 0. Let l(x) = 4*x + 2. Determine t*p(k) - l(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -545\nAnswer: -38.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = l. Let k be (72\/30)\/((-8)\/l). What is the tens digit of (141\/k)\/((-1)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 369, 807, 1409, 2169?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 1185566\nAnswer: 9\/592783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 5*m - 3. Let n = 2 + 2. Let h be j(n). What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-155)\/(-3) - (-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 76576285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*(sqrt(432) + 0) - ((1 + sqrt(432) - sqrt(432)) + -3)) + -4 + sqrt(192)*2 + -4 + (sqrt(21) + sqrt(21)*-2)\/sqrt(7))**2.\nAnswer: -54*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 6 = -82. Suppose -21 + 11 = -5*f. Suppose f*n + 2*j - 62 - 54 = 0, -228 = -4*n - 3*j. Calculate the remainder when n is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103 by 110.\nAnswer: 103\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 1667?\nAnswer: -1667.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*n**5 - 61*n - 1 wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2562, 2465, 2370, 2277?\n\"Answer: w**2 - 100*w + 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t + 24. Let i(g) = 29*g**2. Give n(i(c)).\nAnswer: -261*c**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 66340*t - 199065.\nAnswer: 5*(t - 3)*(t + 13271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + -7. What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5491119 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -21*s**3 + 20*s**2 - 20*s. Let h(m) = -7*m**3 + 7*m**2 - 7*m. Let x(z) = -171*z - 2206. Let i be x(-13). What is i*h(t) - 6*c(t)?\nAnswer: 7*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5.4. Suppose 5*a + 5*p + 83 = p, 3*p = -2*a - 36. Let y(n) = -n**3 - 15*n**2 + 2. Let s be y(a). What is the nearest to -4 in x, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 59.06. Which is the second biggest value? (a) -4 (b) -3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**4 + 3*l**4 - 5*l + 4*l**3 - 6*l**4 + l**2 in the form m + f*l + t*l**4 + v*l**2 + a*l**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13162372 to the nearest integer?\nAnswer: 3628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19414, -38835, -58260, -77689, -97122, -116559, -136000?\n\"Answer: -2*n**2 - 19415*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17\/5 (b) 2 (c) 3\/8 (d) 13 (e) -0.02 (f) -12 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1567 divide 232040413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/3 + 128*u**4\/3 + 1052*u**3 - 128*u**2\/3 - 3154*u\/3 = 0. Calculate u.\nAnswer: -19, -1, 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 - o**5\/15 + o**4\/3 + o**3 + 97*o**2. Suppose -2*h - 23 = -3*a, -23 + 6 = 2*h - a. Is b(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - b - 7. Calculate d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -2\/11 (c) -470 (d) -27 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 2*i**3 - 34*i**2 + 2*i**2.\nAnswer: 2*i**3 - 31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -712904728 or -712904729?\nAnswer: -712904729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 3*o - 2*t - 169, 0 = -o - 2*t + 163. Suppose 3*v = 2*v + o. Is (v\/10)\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + m - 21. Let b(v) be the first derivative of 1\/2*v**2 - 3 + 0*v + 1\/3*v**m. What is the second derivative of b(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272 - -281) + (1 - 19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q + 26*q - 7*q**3 - 46*q + (2*q**2 + 0 + 0)*(3 - q - 3) in the form w*q**3 + f*q**2 + h + g*q and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 846 (c) -13\/4 (d) 5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + q - 3*q + (3 + 1 - 6)*(0*q - q + 2*q) - 2*q + 0 + 0 + (-2 - 2 + 6)*(4 - 5 + 3)*(3 - 2*q - 3).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 4. Suppose 74*s + 251 = 843. What is g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(0 + 8\/20). What is the biggest value in -0.3, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -51 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121539148?\nAnswer: 2, 239, 127133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 554142235?\nAnswer: 554142235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.03 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -49, 3, 27.99, 5?\nAnswer: 27.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7872, 15686, 23498, 31308, 39116?\n\"Answer: -w**2 + 7817*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 329346 and 8208?\nAnswer: 2634768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 9. Let s(l) = 4*l - 4. Let t = 18 - 8. Let v be t\/(-4)*(18 - 16). What is v*s(p) - 2*h(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11233311, 11233315, 11233321, 11233329, 11233339, 11233351?\n\"Answer: v**2 + v + 11233309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (122\/5 - 1)*5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -832, -903, -1010, -1153?\n\"Answer: -18*p**2 - 17*p - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11950 by 5.\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) 0.6 (c) -5 (d) 0.1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0 + 8\/3*p**3 + 15*p - 10*p**2 + 1\/3*p**4. Factor a(n).\nAnswer: 4*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -561 + 563. Let t(f) = 2*f + 28*f + a*f + 43*f - 18*f. Let n(c) = -4*c. What is t(n(v))?\nAnswer: -228*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4031 - -3*(-110)\/30.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-32 + (-29 - -84) - 90)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5012 and 13769.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3927*y**2 - 982*y**2 - 1006*y**2 - 975*y**2 - 1004*y**2.\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - 1*sqrt(20))\/sqrt(10) + sqrt(2) + sqrt(20)\/(sqrt(10)*2))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2156) + sqrt(2156)*-3)\/(sqrt(4) + (sqrt(4) - sqrt(28)\/sqrt(7))*5 + sqrt(4)) + 4).\nAnswer: -12 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(1116\/(-16)))\/(6\/(-9)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 2, l: 4}. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.4 (c) -3\/10 (d) 258\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.145 + 0.115. Put h, -0.5, 1\/4, 4 in ascending order.\nAnswer: -0.5, h, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14786*c*i**2 - 16282*i**2 wrt c.\nAnswer: 14786*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkkkkkkk. Give prob of sequence kkkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -455a45 (base 11) in base 8?\nAnswer: -2610513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + -605?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0836951 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0706? (a) -5 (b) -2 (c) 0.129 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 121. Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmarloor. What is prob of sequence oal?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -459 + c?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:45 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 387571793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.0337908?\nAnswer: 0.00675816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 279 = l, 2*c = 5*c + 2*l - 270. Suppose -88*k - 24 = -c*k. Solve -n = -x + 4 + 2, 0 = -5*x - 4*n - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 116289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 65*z + 265. What is the tens digit of i(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3735.6 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/60*(60 + 3)\/3. Let c = 86 - m. What is the highest common factor of c and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -6)\/(2\/(-248)). Let c = g - 78. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2*a**3\/27 + 2*a**2\/9 - 9. Factor x(q).\nAnswer: 2*q*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 - 3*f - 1. Let s(r) = 1 + 15*r + 17*r - 31*r + r**2. Let c(o) = -2*b(o) - 6*s(o). Find the first derivative of c(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 292863242.9.\nAnswer: 292863238.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let k(x) = 1 + 4*x**2 - 3*x + x**3 - x**2 - 2*x - j. What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-2 + -1 + -24 + 13 + 14)) + -63.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -4*t + 5*t, 4*f + 5 = -t. Let i = 0.03 + 4.97. Which is the third smallest value? (a) t (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rttr when four letters picked without replacement from ttrttttttlttrl?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 2 r when four letters picked without replacement from oooorroppoo.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1651 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12945247741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.109, 4, -6 in descending order.\nAnswer: 10, 4, -0.109, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(475) - (sqrt(19) + ((2*sqrt(95) - sqrt(95))\/sqrt(5))**2)) + -5.\nAnswer: -24 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807677 is divided by 329.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -49, -5, 3, 5 in descending order.\nAnswer: 5, 3, 0, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 s when three letters picked without replacement from stwttwwmetewwwm.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -26*i - 6. Let y be r(-3). Suppose y = 5*n - n. What is the least common multiple of n and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -536\/1429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2535\/143 - 18) + -2 + 34\/44?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x + 15. Let a be k(-8). Let w = a + 47. What is the hundreds digit of 114*(1 + w + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 54544*g + 272750. Give o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 18 = -k, -8*w = -4*w + 3*k + 11. Let a(h) = h + 30. Let b be a(w). Solve b = -5*l - 5*y, -l + 0*l - 1 = -y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 612061 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 - 270*f**2 + 41*f**2.\nAnswer: -214*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 22) + (-39 - -70).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11544 and 85803.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*x = 29*x - 50*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65406448*a + 41567087 wrt a.\nAnswer: 65406448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 68\/49, 2\/5, -4?\nAnswer: 68\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.263 rounded to zero dps?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhj when three letters picked without replacement from hhhhjhjhhjhhhjhjjjh?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1385600 to the nearest 10000.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 81.\nAnswer: -46\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/18*(-18)\/12.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - -1 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 13*p + 3. Let q be v(13). Solve 4*s + 10 = -y, -2*y - q*s = s + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355364\/11 + -32306. Which is the third smallest value? (a) 0.06 (b) 3\/2 (c) i (d) 0.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -47. Let g = 36 + l. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/((-1)\/8*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.03 - -18. Let p = 0.23 + s. Suppose 10 = 2*z - z - h, -2*z + 5*h = -35. Which is the closest to 0? (a) -0.4 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6165553 (base 7) to base 6.\nAnswer: 23501441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j - 1111 - 17*j - 26*j.\nAnswer: 2*j - 1111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 29 + 22*j + 55 to v + q*j and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 1257523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -7)\/(-1 - -2). Let q(p) = -3*p + 2. Let t(u) = 26*u - 4. Let a(r) = -8*q(r) - t(r). Calculate a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 220. Let c(z) = -z. Determine c(x(i)).\nAnswer: -2*i + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-50)\/30)*-3. Let x(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**3\/6 - 3*z**2\/2 + z. Let a be x(-5). Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + (-34)\/8. Let r(p) = 11*p**3 - 25*p**2 + 3*p + 15. Let q(g) = -5*g**3 + 12*g**2 - g - 7. Let z(d) = 13*q(d) + 6*r(d). Does 10 divide z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 51. What is the remainder when t is divided by (-20839)\/(-6412)*(-16)\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p = -16*p - 4128. Suppose 0 = -2*d - 5*l + 69, -5*d - 5*l = -d - 113. Calculate the remainder when p is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -777, -1145, -1511, -1875, -2237?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525 and 35?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36284 divided by 1?\nAnswer: 36284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = -5*v - 1775, -5*h + 1795 = -5*v. Let m = -42 - v. Let f = 491 - m. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:37 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17328118, -17328116, -17328114, -17328112, -17328110?\nAnswer: -17328108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i - 10. Let s(j) = -j**3 + 4*j**2 - 2*j. Let b be s(3). Let g be m(b). Let u be (-4)\/10 - (-1 + g\/(-25)). Is 3\/10 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 7 = 6*n. Let v(t) = -t**3 + 6*t**2 + 6*t - 6. Give v(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowoowowfwoowowfoo. What is prob of sequence fof?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.2232335 rounded to 2 decimal places?\nAnswer: 585.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/q**(-1\/4))\/((q\/q**(-2\/43))\/q))\/(q**(3\/2)\/q*q**(-3\/8)*q))**(12\/11) assuming q is positive.\nAnswer: q**(195\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2526*z**6 + 19890*z**3 - 9*z**2 - 3458001 wrt z?\nAnswer: -303120*z**3 + 119340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2)\/r**(-4))\/(r**(-4)*r**(-6))*(r\/(r*(r\/r**(1\/3))\/r))**36\/(r*(r*r**(1\/5)\/r)\/r*r*r*r**5) assuming r is positive.\nAnswer: r**(203\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 16. Let h be c(0). Suppose 7 + 2 = 9*o. Let m = o + h. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7212 and -38.\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28351446763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 7:58 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 197 - 10 + 2*u**2 + 103 + 173 to the form s*u + x + b*u**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 530728656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-60) + 28\/(-10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*s + 1559 = 1633, 0 = -10*d + 4*s - 196 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Let l = 10 + -5. Suppose l*q + 3*i = 17, -j*q = -5*q - 2*i + 2. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900*p**2 - 9*p + 3*p + 8*p + 850*p**2.\nAnswer: -50*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -9 + 4 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*v + 18. Suppose 7*h = -v*h + 12951. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -111*l + 38. Let a(u) = -23*u - 1. Calculate 6*a(b) - m(b).\nAnswer: -27*b - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-124)\/(-16))\/(2\/8). Let v = 10 - a. Let c = v + 32. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002107 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 6*o + 4. Let q be b(-6). Suppose q*z = 9*z. Solve -t + z = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 12. Suppose -r = 5*s - 146. Suppose 2*o - 5*g - s = 0, -o + 5*g = 4*o - 60. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.134682ml?\nAnswer: 0.009134682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 20. Determine u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 26636*x**4\/3 + 26632*x**3\/3 - 4*x**2\/3 = 0.\nAnswer: -1, 0, 1\/6659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = -5*k. Suppose k = 14*q - 182 - 154. What is the remainder when (8\/20)\/(2\/590) is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94446, 188912, 283374, 377826, 472262, 566676?\nAnswer: 661062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z - 2*z + 7*z**2 - 3*z**3 - z**3. Suppose -2*j - 5*q = -43, -2*q - 6 = -4*q. Let m(k) = 0 + 2*k**2 - k**3 + 0 + k. Calculate j*m(f) - 4*s(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -27*j. Let w(i) = i - 2. Let q(x) = 4*x - 7. Let h(d) = 2*q(d) - 7*w(d). Calculate h(s(r)).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4819.\nAnswer: 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc6a728 + -2?\nAnswer: -bc6a72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h - 65*h + 31630 = 0. Suppose -112*n = -110*n - h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = m, -101 = -6*m + m - o. What is the greatest common divisor of 160 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*n**3 + 10484*n**2 - 11144*n + 768.\nAnswer: -4*(n - 96)*(n - 1)*(27*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 1, t: 2, g: 2, m: 1, h: 1}. What is prob of sequence ta?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 + -292. Let b(m) = m**3 - 3*m**2 + 4*m. Determine b(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01347 - 0.31453. Do r and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6720*c**2\/23 - 4831678*c\/23 - 1438\/23 = 0. What is c?\nAnswer: -1\/3360, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 0, -j + 55 + 10 = 5*i. Solve 0 = 4*c - i, 3*c - 22 + 1 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 18 = 3*x. Suppose a = i - x, 2*i + 3*a + 0 = 2. Let v be (-3)\/(-12) + 1\/i. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10404, 20809, 31214, 41619, 52024, 62429?\n\"Answer: 10405*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 15 - 250*a**4 + 6*a**5 + 249*a**4 + (2*a**4 - 2*a**3 + 2*a**3)*(-a + a + a).\nAnswer: 6*a**5 - a**4 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(13\/(-26)*10\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35373938 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.51 (b) 20 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/5 - 16347*n\/5 + 701072\/5 = 0.\nAnswer: 43, 16304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*11\/(33*-28).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/20 + 5*v**4\/12 - v**3\/2 - 5*v**2\/2 - 11*v + 2. Calculate r(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 0.12, -0.4.\nAnswer: -3, -0.4, 0.12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18986.8 * -25\nAnswer: 474670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.81247 centuries in years?\nAnswer: 681.247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahhhrhrrhfa. What is prob of picking 1 r and 1 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5566*q + 233. List the prime factors of m(-1).\nAnswer: 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t - 84*t**2 + 8*t**3 + 108*t**2 + 166*t**2 - 4*t**3.\nAnswer: 4*t**3 + 190*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20385.0328 + -20410. Let l = 0.1272 + f. What is l rounded to 0 decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*l = -66, -2*n + 64 = -l - 2*l. Calculate the highest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -12. What is the lowest common multiple of 3 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -7 - (23 - -21) - (1 + 2 + -1)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 6294?\nAnswer: 69234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 4231*g**2 + 271286*g.\nAnswer: g*(g + 1343)*(3*g + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) -2534 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 - 225*s + 3420 = 0. Calculate s.\nAnswer: -57, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3176*m - 3178*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -116*a - 131. Let s(h) = -234*h - 193 - 81 + 12. Let b(w) = -5*d(w) + 2*s(w). Find the first derivative of b(g) wrt g.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167670 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:35 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.488 times -0.11?\nAnswer: 0.05368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -8*g - 2*i - 19, -i = -5*g + 59. Let n(l) = -l**3 + 10*l**2 + 10*l + 9. Determine n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 n when four letters picked without replacement from {b: 9, n: 7}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n**3 - 16*n**2 - 5*n - 4. Let t(m) = 17*m**3 + 15*m**2 + 7*m + 5. Determine 6*s(h) + 5*t(h).\nAnswer: h**3 - 21*h**2 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.472 + -7.472. Let w = -8 - -1. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -0.5 (b) -234 (c) -4 (d) 5 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(5*m + m - 3*m) + 2320*m + 303*m + 5734*m + 3754*m.\nAnswer: 12105*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -52 (b) 0.2 (c) 8 (d) 0.3 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000239546 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14c70 (base 16) in base 5?\nAnswer: 10210404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350936?\nAnswer: 2, 7, 41981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 - -20?\nAnswer: 20.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540 divided by -385.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240 - -285.2. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -1540, -3310, -5758, -8866, -12616, -16990?\nAnswer: -21970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/4 - 4*r**3\/3 - 41*r. Let c(d) = -d**2. Calculate v(c(j)).\nAnswer: -3*j**4 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4184*n + 932. Let k be r(-57). What is k rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449049?\nAnswer: 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -24*i + 45. Suppose 15*z - 20*z = -3*n + 5, z = -n - 9. Is 15 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-2)\/12). Suppose r + j = -4*l - 6, l + 9 = -r. Let h(o) = 16*o**2 - 15*o**2 + 82*o - 73*o + 1. What is h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.55333 and 0.5.\nAnswer: 2.05333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -41*w + 16. Suppose 0 = z - 0*z - 33. Let y(n) = 8*n - 3. Let c(s) = z*y(s) + 6*l(s). Is c(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16 = 2*c, 4 = -4*c - 2*v - v. Let s = -28 - -40. Suppose -2*f + q + 6 = 0, -c*q + s = f + f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q - 3. Let z(g) = -77480*g. Calculate z(h(m)).\nAnswer: -1394640*m + 232440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/6 + 0)\/((-8)\/(-12)). Let v(g) = 5 - a*g + 9*g**2 + 0 + 15*g**2. What is the smallest common multiple of 14 and v(1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111243*f + 0 - 2*f**2 + 5*f**3 - 3*f**3 - 1 + 115484*f.\nAnswer: 2*f**3 - 2*f**2 + 226727*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p + 21. What is the remainder when 19 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.14, -52, -5, 0.01?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 4, e: 2}. Give prob of picking 2 h and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4332*u + 3507*u + 6496*u.\nAnswer: 5671*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(6\/(-9))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8032696 and 29118523.\nAnswer: 232948184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29283114*o**3 - 322727*o**2 + 774?\nAnswer: -175698684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6425137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.223223 to three decimal places.\nAnswer: 0.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/224 and 5*-2 + (-21)\/34104*-16122?\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/14 (b) 0.07 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363.9*0.04.\nAnswer: -14.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -7190, 0 in decreasing order.\nAnswer: 0, -10, -7190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 - -10) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-45) + 20\/90)\/(-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 3830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/38 (b) 0 (c) -2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*y - 62*y - 34*y.\nAnswer: -202*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 231*i**5\/4 + 1411*i**3\/6 - 513*i. What is the second derivative of k(b) wrt b?\nAnswer: 6930*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*u + v + 12, -5*u - 2*v = -14. Suppose -2*i - 4*k = i - 8, 0 = u*i + 2*k - 2. Let w be i*(2 - 9\/6). Let f(d) = 2*d**2 + 2*d - 1. Give f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -0.01?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -7. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d - 40*d + 30*d - 98. Let y(x) = 4*x**2 + 11*x - 7. Let u(o) = 3*o**2 + 7*o - 5. Determine d*u(v) - 5*y(v).\nAnswer: v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/8*(-324)\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843 - 19001*o**3 + 1685 - 842 - 221711*o**3.\nAnswer: -240712*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 5}. Give prob of sequence aaa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 3. Let x be p(-7). Let d be x\/(-8) - (-21)\/2. Suppose -y - 34 = -q + 36, 2*y = 0. Calculate the highest common factor of d and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 182\/39*(-101)\/(-1414). Factor 0*b**2 + 0*b - 4\/3*b**4 - b**3 - x*b**5 + 0.\nAnswer: -b**3*(b + 1)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Which is the biggest value? (a) 2877\/739 (b) -0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*c - 5412, 7549 = 4*n - 3*c + 2132. List the prime factors of n.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9156 and 194340678.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153907379953\/85659 - -1796745. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 40. List the prime factors of (-2)\/5 - c\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**3\/3 - 3*s**2 + 24*s. Let h be k(-11). Let b(f) = 7*f + 11*f - 2 - h*f. Give b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 4*n**2 + 46*n + 39. Let t be r(6). Calculate the greatest common divisor of 41 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435.05 rounded to 0 dps?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 66*v**3 - 17*v**2 - 5*v + 17. Let z(a) = 22*a**3 - 6*a**2 - 2*a + 6. Let y(o) = -6*d(o) + 17*z(o). Find the second derivative of y(s) wrt s.\nAnswer: -132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 36*c + 101. Let k be o(-38). Let l = k + -174. Solve j - 5 = -l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 53 = -f + 52, 5*k = 5*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33828 = 5*v + 33418. Solve 29*q = -12*q - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 146*i**2 - 36*i + 96. What is the hundreds digit of f(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b13c4 (base 14) in base 13?\nAnswer: 279976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by -115?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -269*s + 273*s + p - 67470, 2*p - 33744 = -2*s. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*y + 6*y - f, 0 = y - 4*f - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2890802 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:36 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -10537, -0.01433.\nAnswer: -10537, -0.5, -0.01433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5\/80 + c**4\/16 + c**3\/4 - c**2 + 227*c + 138. Let v(p) be the first derivative of s(p). Factor v(f).\nAnswer: -(f - 4)*(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-3))\/(-10))\/((-2)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699\/116 + 8803\/1740. Calculate the common denominator of 1*-1 + (-86)\/30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45111 - -31?\nAnswer: -45050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 145?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622086009*5.\nAnswer: -3110430045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/5 - 414*w**4\/5 + 1527*w**3 - 31284*w**2\/5 + 46524*w\/5 - 22464\/5 = 0 for w.\nAnswer: 1, 2, 16, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3566, 8579, 15046, 22961, 32318, 43111?\nAnswer: 55334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 102120121221101 (base 3) to base 11\nAnswer: 35231a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 642480*u - 2569952 = 0. What is u?\nAnswer: -4, 321244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141253 by -8309.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 6. Determine m(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 41. Suppose 2*v - w = 1. Suppose 3*y + s = 2032, -2*y + v*s + 1350 = 3*s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 179*l**3 + 5*l**2 - 38*l + 115. What is the hundreds digit of d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.1 (b) -10 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281877 * -6.\nAnswer: 1691262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 46. Suppose 3*v + 5*w = v + 73, -3*v + 152 = -w. Let h be (-2)\/(14\/v)*-1. What is the highest common divisor of u and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2294 and 4958?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 6)*(-2 - 4 + 4)*(2*u**3 - 2*u**3 + 2*u**3).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 + 226. Sort d, 1\/5, 0.1, -0.3 in descending order.\nAnswer: d, 1\/5, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 7) to base 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 959*u - 3769.\nAnswer: 959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/30*-2*36\/32.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)*40\/(-8). Suppose 4*m - m + 3*s = 45, 0 = -3*m + 3*s + 75. Let f = -16 + m. Solve -4*k + 1 = 3*u, 21 = f*k - 5*k - v*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/7 + 281*k**2\/7 - 95688*k\/7 + 828144 = 0. What is k?\nAnswer: -497, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 4*b + 45 = 0. Differentiate -11 - 5*r + b*r**2 + 27 - 23 wrt r.\nAnswer: 6*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**4 - 6*w**3 - 6*w**2 - 2. Let p be (-3 - -6)\/3*5. Let n(l) = -7*l**4 + 5*l**3 + 5*l**2 + 1. Let a(o) = p*d(o) + 6*n(o). Differentiate a(h) wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13018, -24640, -36262, -47884, -59506, -71128?\nAnswer: -82750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5336028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.198 + -0.072. Let u = j - -0.074. Which is the nearest to u? (a) 1\/8 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 + 3.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4260, 8522, 12784?\nAnswer: 17046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371990, 1487974, 3347946, 5951906, 9299854, 13391790?\nAnswer: 18227714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05998 - 18094917.74?\nAnswer: -18094918.79998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103178359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14*s**3 - 32*s**2 - 29*s + 10. Let z(b) = 5*b**3 + 11*b**2 + 10*b - 3. Let r(y) = 6*h(y) + 17*z(y). Let u = 3 - 3. Let o = u + 6. What is r(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 6. Let n be l(-5). Suppose -v - 9 = -n*v. Solve z**2 + 2*z**3 + 1 - 6*z + 5*z**2 + 1 - 4*z**v = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011010 - 100111?\nAnswer: 1110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/18*(-10)\/(13 - 3)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(208) + sqrt(208) + sqrt(208)*-2))\/sqrt(8))\/(1*(sqrt(6)\/sqrt(3)*1 + sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Let w(z) = -2*z - d + 5. Let p(o) be the third derivative of -o**5\/15 - 304*o**2. Calculate p(w(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 46*y + 45*y + 4750, 4*k - 4746 = y. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 56*o + 144. Which is greater: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) 2 (d) -1.5 (e) -3.059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12630.948993 + 12631. Let v = 0.051 - a. What is v rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 5*h**2 + 6*h. Let j be u(-6). Solve y + j*y = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (180 + 5 + 82)*(0*y**2 + y**2 + 2*y + y**2 + (4*y - y + 3*y)*(-5*y + 4*y - y)) to the form r + t*y**2 + c*y and give t.\nAnswer: -2670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 10*v + 28. Determine g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 - 0.13. Let f be (-1952)\/(-10)*1\/(-2). Let u = -97 - f. Which is the closest to 1? (a) u (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k + 15*k = -8*k + 26640. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7550981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvvvrvvvrrvivrvvrr. Give prob of picking 1 i and 1 v.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j + 510. Let s be r(-34). Is 14\/285 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hwwhwwwhhhwh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 6*p - 2. Let j be x(7). Let l(g) = g + 4. Let i be l(-5). Which is the second smallest value? (a) i (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -19. Let w = j + -10. Let r = w + -0.6. Put -1, r, 0 in descending order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 + 70300*r - 247104500 = 0.\nAnswer: 7030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15.9, -4, 111, 0.5 in descending order.\nAnswer: 111, 1, 0.5, -4, -15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 35286348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.842 + 0.642. Which is the closest to -2\/13? (a) -2\/9 (b) x (c) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55759310729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + (-5)\/((110\/(-12))\/11) - -89911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1238.505 - -1236. Let g = 0.495 - c. What is the nearest to 0 in g, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-270)\/21)\/((-12)\/56). Suppose 0 = -6*v + v + t. Calculate the remainder when 35 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176) - 2*sqrt(1176))\/(sqrt(64)\/(sqrt(16)\/sqrt(2))).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 7\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(63\/(-30) - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 15 - 1. Let o be (6\/y)\/(5\/10). Which is the second smallest value? (a) -1 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (78\/(-8463))\/(2\/(-45)). Let a = i + -29401\/2604. What is the common denominator of a and -71\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1018, 2050, 3096, 4162, 5254, 6378, 7540, 8746?\nAnswer: 10002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7343559312?\nAnswer: 2, 3, 37, 4134887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2. Let l = -20 + 23. Let b(v) = v**3 + 4*v**2 + 4*v + 2. Let m be b(-2). Let t(k) = 1 - l + m + 4*k. What is q(t(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/3 (b) 0.3 (c) 6140 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 179*x - 1505. Calculate k(8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-54)\/9*5\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*x + 42436 = -d, -53046 = 5*d - 3*x. Let g = 44608 + d. Suppose z + 3*z - g = 0. What is z rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -h, 3*s + 2 = -10. Solve -h = -4*z, 2*z - 1 = q - 0*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 2*r**2 + 13. Let n be x(0). Let d = -12 + n. Solve -9 + d = -4*q + 2*f, 0 = 4*q - 4*f - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o. Let q(u) = -1 + 182*u + 5 - 4 + 107*u. Calculate q(n(z)).\nAnswer: -867*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 22. Let l(o) = 2*o + 474551. Give r(l(d)).\nAnswer: -6*d - 1423675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -3*l - 4*o, 4*o - 104 = -2*l - 190 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21613770 to the nearest ten thousand.\nAnswer: 21610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-42)\/(56\/(-8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1090\/(-3270))\/(4\/(-1452))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(1\/3). Let l be i - (1 - 62\/22). Let r = -248 + 247.6. Which is the biggest value? (a) r (b) -3\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 1432*y + y**2 + 1432*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/3 - (-10)\/(0 + -10))*(-84)\/(-28).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49249115*b**2 - 11674899*b wrt b.\nAnswer: -98498230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*m = -262*m + 1188 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154931 is divided by 1303?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 9*t. Let m(y) = -y - 1. Let k be m(-4). Let w be 3\/(k\/12*-2). Does 20 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 3*w - h*w = 1. Let d(p) = 30*p**2 - p. Is 24 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.982 - -0.018. Let g = -2992208953\/1268 - -2359786. Let s = g - 3\/317. Are s and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 30. Let p = -46.9999981 - n. Round p to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 40\/(-12)*18. Is t < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/13 (b) -3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.60303*0.1.\nAnswer: -0.160303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92 + b**4 + 92)*(-358 + 671 + 182) to the form n*b**3 + k + f*b + a*b**4 + x*b**2 and give a.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 - 495 = -59*s + 51 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 14 = 4*l, -76*w = -79*w - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - 30\/45*-21. Solve k - 4*v = -3*k - 40, 5*v = b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9026 and 35\/249.\nAnswer: 2247474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -4, -3, -5, 5, -8, 7983 in decreasing order.\nAnswer: 7983, 5, -3, -4, -5, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1585327 + -593276. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849.7742 millennia to months.\nAnswer: 10197290.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/200 + 37*w**5\/100 - 39*w**4\/8 + 279*w**3\/10 + 1014*w**2. Let q(z) = 0. Calculate z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:41 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d228 (base 16) in base 8?\nAnswer: -551050","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 184. Suppose -j*k = -152*k + 38. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 16. Let j(i) be the second derivative of 0*i**2 + 9 - 3*i - 1\/6*i**3. Give c(j(f)).\nAnswer: 4*f + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2, -3, -12, 13 in decreasing order.\nAnswer: 27, 13, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - -3*sqrt(209)*4) + sqrt(209) + 2*sqrt(209)*6)\/((sqrt(704) + sqrt(704)*3)*-2*3).\nAnswer: -13*sqrt(19)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764 = -4*w + n + 742, w + 4*n - 385 = 0. What are the prime factors of w?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 58*x**3 - 520*x**2 + 15*x - 5. Let k(m) = 29*m**3 - 260*m**2 + 9*m - 3. Let c(t) = -5*k(t) + 3*r(t). Find the third derivative of c(i) wrt i.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31295 and -0.1?\nAnswer: -0.031295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.494 greater than or equal to -483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*j - 4*d, -4*j - 3*d + 26 = 5. Let g be (-26)\/117 + 218\/j. Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 6. Suppose 3*d = -3*m + 7*d + 16, 4*m - 2*d = 8. Let f = 0 - m. What is the units digit of h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/5*d**3 + 63\/10 + 9\/5*d + 1\/10*d**4 - 32\/5*d**2 = 0. What is d?\nAnswer: -3, -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15734 and 11?\nAnswer: -173074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by -4833.\nAnswer: -239\/4833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27244 - 27238. Let q(w) = w**3 - 6*w**2 - 4*w + 29. Calculate q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*z - z + z + 7 + 2*z wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*d**3*l*m - 205*d**3*l - d**3*m - 4*d**2*l + 13*d*l*m**2 wrt m.\nAnswer: -19*d**3*l - d**3 + 26*d*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 19. Let q be g(4). Suppose q = m + 23. Let b be (0 + 0)*(-9)\/m. Is -1\/64 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*w - 3 = 0, 0*a = -5*a + 5*w + 35. Is 9 a factor of (27\/a)\/(4\/(-576)*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 19, j: 1}. What is prob of picking 3 a?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 40. Put -0.5, u, -0.06 in increasing order.\nAnswer: -0.5, -0.06, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3209\/26687?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 20. What is the remainder when t(6) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1253655*d*t - t - 9130 with respect to d.\nAnswer: -1253655*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.046456? (a) 0.1 (b) 2 (c) -5\/6 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -242.4?\nAnswer: 1454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1270 - -1264. What is the nearest to 2\/3 in -16, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -19. Suppose 96 = -0*b + z*b. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**4\/2 - 2*o**3\/3 - 4*o + 1. Let f(j) = j**2. Let y(s) = -2*f(s) - x(s). Find the first derivative of y(u) wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543269326?\nAnswer: 2, 10607, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24*(5 + -8) - (-2)\/2. Let w = 76 + s. Suppose 4*n - 2*z = -z + 8129, -5*z - 10180 = -w*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*x - 1356*x - 566*x - 520*x.\nAnswer: -2591*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 30\/7 + 2\/7*w**2 - 32\/7*w = 0?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/7 - 78*s**4\/7 + 904*s**3\/7 + 17238*s**2\/7 + 62455*s\/7 + 6600 = 0. What is s?\nAnswer: -5, -1, 33, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 47*v - 254. Determine q(33).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 - -0.17. What is the closest to 1 in 4\/5, 2, y?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317*-19\nAnswer: 6023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 4c60?\nAnswer: 4c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*l + 7, 14*l - 9 = 3*u + 18*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 - 24*r - 162. Let j be w(-7). Which is smaller: j or 1723?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 0*s**3 + s**3)*(s - s + s**2) + 29*s**5 + 45*s**5 - 60*s**5 + (-3 + 1 + 1)*(3 - 3 + s**5) + (s**5 + 3*s**5 - 3*s**5)*(1 + 1 - 3).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 342 = -3*f, 3*f + 2*a - 342 = -2*a. Suppose 5*k - 115 = -4*i + f, 3*i + k - 169 = 0. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -2*x**3\/3 + 1. Let n(p) = -5*p**2 - 22*p + 8*p + 14*p. Give c(n(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*r + 3 + 24, 4*v - 35 = 5*r. Let j be 3 + (r - -6) + -3. Suppose 0 = j*g + 71 + 223. What is g rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -11*h**5\/120 + 5*h**4\/24 - h**3\/2 + 4*h**2. Let v(w) be the first derivative of g(w). Is v(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let p(s) = s**2 + 10576*s - 2. What is p(h(m))?\nAnswer: m**2 + 10576*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.1117.\nAnswer: 0.4468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**5 + 15*o**4 - 5*o**3 - 520*o**2 - 960*o - 429. Factor g(f).\nAnswer: -5*(f - 8)**2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 15) to base 4\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4cb (base 15) in base 5?\nAnswer: -13331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 495.7568ng?\nAnswer: 0.0000000004957568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48162500 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + i = 39 - 14, -3*q = -3*i + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*q + 31, 0 = -3*q - 41*n + 43*n - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 + 8*f - 5. Let o be t(5). Suppose 0 = n + 3 - o. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*q - 2, 4 - 22 = -4*z + 5*q. Let y be (-5)\/10*z + 2. Let f(m) = m - 7. Let o be f(7). Is y <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/120 + t**5\/6 + 7*t**4\/8 + 29*t**3\/6 - 23*t**2. Let f be h(12). Let z(a) = a + 6. What is z(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let v(d) = d**3 + 3*d**2 - 4*d + 2. Let j be v(-4). Let f(r) = -4 + 4 - r**j. Determine s(f(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105.32 - -1261.32. What is the closest to y in -0.1, -0.5, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r**2 - 4*r - 1. Let g be y(-3). Suppose -x - g*x + 366 = 0. What is the remainder when x is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 23184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 8:16 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681271 = -13217*o - 2399481 for o.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13*a**3 - 53*a**2 + 113*a - 64. Let u(d) = 6*d**3 - 26*d**2 + 56*d - 32. Let w = -275 - -284. Let c(j) = w*u(j) - 4*i(j). Factor c(q).\nAnswer: 2*(q - 8)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3*x - 2*x)*(-13 - 10 - 9) to g*x + w and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.89 + -0.11. Let x = 3 + o. Let d = 3 - x. Which is the second biggest value? (a) d (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66*(16\/264)\/(50\/550)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 567, 4533, 15307, 36291, 70887, 122497?\n\"Answer: 567*z**3 + 2*z**2 - 9*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 8, j: 11}. Give prob of sequence xo.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 + (-24)\/(-4) + -11 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/60 - 14\/105)\/1. Let w(a) be the first derivative of -a**4\/4 - a**3\/3 - a**2\/2 + 14*a - 30. Determine w(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o + 74. Let q be m(-7). What is the highest common divisor of 105 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*z + 5*p + 26135 = 0, 4*z + 5*p + 20905 = 0. What are the prime factors of (3\/6)\/((-5)\/z)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvaanasabbnnbnbvbcb. What is prob of picking 1 a and 1 b?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5))**2 + 4 + (sqrt(20) - sqrt(320))**2.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*g + 5796. Suppose -35*v = 11*v - g. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -547 in -0.5, -0.15, 2, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i + 1 - 38*i + 104*i.\nAnswer: 23*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792051.3 nanoseconds to hours.\nAnswer: 0.00000022001425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 - 118*l**2 - 471*l + 1373. What is t(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.3. Suppose -3*h + 6 = 2*t - 1, 5*h - t = 3. Let k be (h\/(-1))\/((-7)\/(-14)). Which is the third biggest value? (a) k (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**4 - 133983*g**2 - 4677*g - 697.\nAnswer: 144*g**2 - 267966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y + 15. Let d(f) = 4*f - 8. Let z(r) = 5*d(r) + 3*t(r). Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 0*d - 3*j = -3, -2*j + 2 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-1 - 2 + 5)*(1 + 4 - 3)*((-40*a - 30*a - 2*a)*(-2 - 1 + 1) + a - a + 2*a) in the form i + b*a and give b.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) - 153\/(-18). Solve 5*w + 8 = i - a, 16 = -3*i - w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -731 + 820. Suppose -t = d - 6*d + 95, -3*t + 57 = 4*d. Calculate the remainder when u is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 21*y**2 - 18*y - 3. Let u be z(20). Suppose -u + 39 = -2*w. Are -2\/145 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:26 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/25*(-25)\/(-10). What is the units digit of 55 + 2\/b + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.768705ns to hours.\nAnswer: 0.0000000000110468625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (-1 + sqrt(80))**2 + 3 - 1*(-3 + (sqrt(20))**2 + sqrt(5))) + -1.\nAnswer: -5*sqrt(5) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l. What are the prime factors of h(3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 2. Let r be q(3). Suppose -146 = -w - 2*w - u, -r*w + 4*u + 184 = 0. Calculate the greatest common factor of w and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 13) in base 9?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) -0.3 (c) 26 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*h**2*n**4 - 4930*h**2 + 2*h*n + 440*n**6 + 4*n**2 + 2 wrt n.\nAnswer: -3744*h**2*n + 52800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 641*d**4\/4 - 732*d - 412. Differentiate j(v) with respect to v.\nAnswer: 1923*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t + 7. Let f(j) = -j + 1. Let a(d) = -6*f(d) + u(d). Let y(i) = 2*i + 3. Calculate -4*a(c) + y(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 366 - 370. Let k = -36.5 - -8.9. Let i = 28 + k. Which is the nearest to 0? (a) r (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331023 (base 5) in base 15?\nAnswer: 3593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) + -5 + (-4892)\/20. Let p = r - -173. Let f = p + 91. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22\/5 + -26\/15. Suppose -4*j + 23 = -3*u, -2*u = -7*u - 5. Let o = 12\/221 + 824\/1105. What is the fourth smallest value in -0.5, k, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 - 2 + m + 12*m - 9 wrt m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-20)*(196460\/(-47))\/(-38)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/8, -2\/217573, 1\/3, 10\/7, 4\/7?\nAnswer: -2\/217573","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*c + 4, -4*h = -3*h + 3*c - 6. Let v be (-8)\/30 + 2\/h. Let d(a) = -a**3 - 8*a**2 + 1. Let b be d(-8). What is the nearest to b in 2, -4, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 682 - -170. What are the prime factors of v?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39895 != 39896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482*w**3 + 720*w**3 + 2 + 724*w**3.\nAnswer: -38*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = 2*q - 316, v - 2 = 0. Suppose 2*j - g - 406 = q, -574 = -2*j - 3*g. List the prime factors of j.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i + 3. Suppose -3*n = 4 + 44. Let g(u) = u**2 + 16*u + 2. Let c be g(n). Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7241402, -7241399, -7241396, -7241393?\n\"Answer: 3*l - 7241405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/24 + 7*c**3\/6 - 195*c**2 + 1. Calculate z(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*20\/(-925)*(-1)\/5?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.89 times 9133?\nAnswer: -400847.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-18)\/(-7))\/((-42)\/(-13426))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2. Let c(n) = -36 + 9 + 8*n**2 + 14 + 13. Determine c(j(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*a - 14 = 0, 5*c - a = 3*a + 11. What are the prime factors of 7\/(c - -2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = -3*p + 23, 3*p = -4*i + 19. Is p not equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k + 12. What is the remainder when k\/(-42) - 254\/(-7) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 146 and -0.26.\nAnswer: -37.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421870465 - 0.4?\nAnswer: 2421870464.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -10*o - 104. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 20*w - 24*w - 5*j, 5*w - 3*j + 99 = 0. What is the common denominator of w and -2\/131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0364 less than 5?\nAnswer: 5.0364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2310 and -4?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 5, h: 1, p: 7, z: 1, y: 1}. Give prob of sequence zn.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 + -289. Let u = -1 - -1. Solve -2*f - 6 = u, 4 - x = -w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/5*(-11)\/572*-65\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:42 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 35*p**2 + 215*p + 80. Let t(h) = 18*h**2 + 106*h + 40. Let o(c) = 6*r(c) - 11*t(c). Suppose o(w) = 0. What is w?\nAnswer: -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/7 + 37\/42. Let j be -10*-2*(-1)\/(-1). Let d be 5\/4 - 5\/j. What is the second biggest value in d, y, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276746461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y + 1925. Let q be f(83). What is the highest common divisor of q and 5648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 >= 0.1554421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3864760, -3864759, -3864758, -3864757?\nAnswer: -3864756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13712 (base 8) in base 13?\nAnswer: 2a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4334 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 158772.9 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29104 and 116416?\nAnswer: 116416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 1\/2, 3, -0.03, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let r = -149 + 144. Put 5, r, i in descending order.\nAnswer: 5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Let g = -76 - -76.2. What is the closest to -1 in 3, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4102\/9 + -456. What is the biggest value in t, -1\/3, -10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1345?\nAnswer: -3\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*n - 674*n + 19*n**2 - 19*n**2 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 5*n + 5. Let w be p(-5). Suppose -3*s + w*s - 6 = 0. Suppose 0*l + 2*l - 3*y - 5 = 0, -l = -2*y - s. What is the closest to l in 0.2, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 157\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-5 + sqrt(245))*-2 - sqrt(245))**2*4 - ((-5*sqrt(405) - sqrt(5)) + sqrt(5) - ((sqrt(5) - sqrt(20)\/sqrt(4)) + 3))**2.\nAnswer: -270*sqrt(5) + 37886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 5*p**3 + 3*p**2 + 5*p + 1.\nAnswer: -(p - 1)*(p + 1)**2*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 167*k + 7. Is b(1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-17) + (-114)\/(-969) - -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 135*q**3 + 108*q. Let k(o) = 135*o**3 + 107*o. Let s(v) = -6*k(v) + 5*y(v). What is the second derivative of s(h) wrt h?\nAnswer: -810*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 25 = -19*z + 23. Suppose 6*h = h. Suppose -x + 208 = -5*s, 3*x + h*x + z*s = 624. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*m - 68 = 0, 4*f + 5*m - 295 = -f. Calculate the remainder when f is divided by 322\/2*(-27 - 8550\/(-315)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0528359 rounded to 3 dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 30 = 15*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295764 and 91043?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -7. Solve -3*s + 2 - h = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-3588)\/(-52)))\/(1*3*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 5*q + 7114 - 7011. Calculate u(-37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxmtxxmmtttt. Give prob of sequence tmt.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4133 + 16886. Is y a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2 - 1344865*r + 672430.\nAnswer: 5*(r - 134486)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81569298 to the nearest integer?\nAnswer: 9032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k**3 - 51*k**3 + 103*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 6977 in increasing order.\nAnswer: 5, 10, 6977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/36? (a) -2 (b) -2\/5 (c) 3\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22165 divided by 99?\nAnswer: -2015\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2498593054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by (77*129\/473)\/(1 + (-8)\/10).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, -5, 0, 1.\nAnswer: -5, 0, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3*(-261)\/(-58).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -43, -111, -235, -433, -723?\n\"Answer: -3*g**3 - g**2 - 6*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306\/11 - -28. What is the closest to 2\/3 in k, -2, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62822480 divided by -9520.\nAnswer: -6599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/25770 and 36\/1129585.\nAnswer: 6777510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-462) + (-21)\/((-11466)\/78)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**7\/6 + w**4\/24 - 11*w**3\/2 + w**2 + 43*w. Find the second derivative of y(v) wrt v.\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - -5) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 6*z - 7. Let l be f(-6). Let k be l\/3 + (-14)\/21. Let w(o) = -o**2 + o + 4. Calculate w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 36 = -x, 5*x + 50 - 69 - 11 + 0 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 9 + 1 = -4*b, 5*j - 25 = -5*b. Differentiate 10*m - 1 - 10*m + 4*m**j + 0*m**2 wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2514 divided by -3\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038744 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 8. Suppose -x*v + 36 = 2. Let w(q) = q**3 - q**2 + q + 9. What is the remainder when v is divided by w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -55*2*(-2 - -3). Calculate the remainder when 43 is divided by (m\/(-15))\/((-4)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -13*f**4\/12 - 5*f**3\/3 + 41*f**2. List the prime factors of u(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -13*w**5\/60 + 23*w**3\/6 + 29*w**2. What is the derivative of m(n) wrt n?\nAnswer: -26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*k + o, 0*o + 3*o - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atc when three letters picked without replacement from {c: 1, h: 2, t: 1, a: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947972 is divided by 160?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (74\/(-14) + 2). Suppose -q*p + 42 = -12. Calculate the remainder when 49 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38070708 or 38070710?\nAnswer: 38070710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693177?\nAnswer: 41, 61, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(-c - 5*c + 4*c)*(-14 + 14 + 11*c).\nAnswer: 110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.038089339 - 0.695086399. Let k = o - -0.657. What is k rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 2*w**2 + 573*w - 2781. Calculate p(5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 5451212331?\nAnswer: -5451212315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2970 and 3213675?\nAnswer: 70700850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9748847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 + 12 = 0. Let d be v*(4 + (-10)\/4). What is the units digit of 37 - 4\/d*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155382 and 2407058.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/29 in 5\/6, 5, 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 12*z + 22. Let l be g(-10). Suppose -l*w = -2*q, 4*q + 0*w - 3*w = 5. Solve -b - 29 = -4*s + 4*b, q*b = -25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 84 - 84.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggwggwggw. Give prob of sequence gwg.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0446711584 rounded to 4 dps?\nAnswer: 0.0447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -11413882.\nAnswer: -11413890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8382 = y + 2128. Let x = -3710 - y. What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 22*p**3\/45 - 3*p**2\/5 - 4*p\/15 - 42. Let g(w) = 0. Calculate w.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31192 = -3*u + u + 4*n, -5*n = 10. What are the prime factors of u?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -31*i + 1. Let p be w(1). Let j be (-3)\/((-9)\/p)*-14. Calculate the common denominator of 59\/j - 12\/21 and -113\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 + 1479*i**4 - i**2 + 131*i + 12.\nAnswer: -60*i**2 + 35496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2742\/7 or -392?\nAnswer: -2742\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Let q(c) be the third derivative of c**7\/1260 + c**4\/8 - c**2. Let z(r) be the second derivative of q(r). What is j(z(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2\/3 + 559270*u + 3355628\/3 = 0.\nAnswer: -2, 838907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 3467?\nAnswer: -346a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573237 is divided by 121?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 15. Let m(d) = -3*d + 7. Let j(x) = -5*m(x) - 2*n(x). Let s(u) = u. Determine s(j(i)).\nAnswer: i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4681988.\nAnswer: -1\/4681988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215\/148 + -15\/74. Solve -i*r**5 + 0*r**2 + 1\/2*r**3 + 0 + 0*r - 3\/4*r**4 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2 + 2)*(-582 - 231 + 436 - 277)*(-19*v + 14*v**2 + 19*v).\nAnswer: -27468*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -2*f**2 + 0*f**3 + 0 + 0*f - 1\/12*f**4 + 1\/30*f**5. Find the second derivative of m(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -1, -27\/7, 2, -2 in decreasing order.\nAnswer: 63, 2, -1, -2, -27\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14cb56 + c?\nAnswer: 14cb62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 2. Let o(y) = 23*y - 21. Let n be o(1). Suppose -3*l + 5*s - n + 7 = 0, -l = -3*s + 1. Let c(g) = -g. What is l*c(m) - u(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 + 79590*k - 477569. What is g(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 170946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -5. Suppose o = j + 8, j = -2*o - 0*o + s. Differentiate -2 + 3*a**o - 4*a + 4*a wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.6104 take away -11706.6?\nAnswer: 11897.2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1902*w**2 - 6*w - 209 + 6*w - 1904*w**2 + 0*w.\nAnswer: -2*w**2 - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 10*b**2 - 15*b + 5. Let i be p(-8). Let r = -3 - i. Find k, given that r - 3*k + 3\/2*k**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/4756998?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.3849883.\nAnswer: 0.15399532","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o - 46. Let m be u(-9). Which is the nearest to m? (a) 3 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, -2, 5, -1\/4, 11\/670?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**8\/5040 - w**6\/120 - w**5\/90 + w**4\/6 + 19*w**3\/3 + 46*w. Let x(v) be the second derivative of h(v). Factor x(g).\nAnswer: (g - 3)*(g - 1)*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 132?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*t + p - 177, -2*p = 4*t - 218. Calculate the remainder when -1*1*(-226 - -3) is divided by t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3616752.6 * 5\nAnswer: 18083763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 5. Let j be f(0). Suppose 2*s + 2*n - j = 5, -3*n = -12. Let z(r) = 214*r**3 - 2*r**2 + r. Is z(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 595 + -17711\/30. What is the common denominator of 61\/18 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-2376)*-4)\/((2875\/(-150))\/23)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -27. Let v(r) be the second derivative of y + r**2 + 0*r**3 + r - 1\/6*r**4. Factor v(f).\nAnswer: -2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623*a**2*l**2 - 24*a*l**2 + 25*a wrt a?\nAnswer: -1246*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uueu when four letters picked without replacement from {e: 8, u: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 16*x - 17. Let y be g(17). Let s = -123 + 126. Solve -3*v + 4 = s*l - l, l + v = y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from {k: 4, r: 1, h: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 12045385*g + 48181620.\nAnswer: -5*(g - 2409081)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.8502 less than -236.87388?\nAnswer: -516.72408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16475 = -o - 3*r, 5*o + 2*r - 80555 - 1807 = 0. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 95. Let y be v\/(-5) - (54\/10 + -5). Which is greater: y or -16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*a - 13. Suppose 0 = -5*g, -5*t + a*g + 1 = -19. Solve -t*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 6740721*q\/4 + 13481458.\nAnswer: -(q - 8)*(q + 6740729)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 74*c**2\/5 - 264*c\/5.\nAnswer: -2*c*(c + 4)*(c + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6183 - 3333. What is h rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 3*z - 2*z - 18 + 2 - 2 + z - z - z + z + (1 - 4 + 2)*(3*z + 2*z - 7*z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 19. Let d = 19 + r. Find the third derivative of -9*i**3 + 4*i**d - 13*i**2 + 7*i**2 wrt i.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/17)*(c**27\/c)\/c)**(1\/66) assuming c is positive.\nAnswer: c**(211\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -578, 2, -113816 in decreasing order.\nAnswer: 2, -578, -113816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*y + 7, n + 27*y = 26*y - 5 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = 69609 - 68413 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z**3 + 83 - 83.\nAnswer: 34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80125?\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-1)*(-274)\/(120560\/(-660))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*q**2*v + 19*q**2 - 899886*q*v - 1103313288*v wrt q?\nAnswer: 14*q*v + 38*q - 899886*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10. Let w = v + 5. Suppose -129 = -w*d + 5*k, -2*k + 122 = 3*d + d. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258493593.\nAnswer: 3, 31, 2779501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:09 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Suppose 0 = 5*x - d*x - 15. Find the first derivative of 82*f**3 - f**4 - 1 - 82*f**x wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 1\/6*a**3 + 0 + 5*a**2 - 7\/12*a**4 + 0*a. What is the remainder when 27 is divided by v(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 6) to base 13.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1994096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 2*d - 5*d + d + 9. Let n be s(-4). Suppose -n*v = 4*u - 111, -5*v = 7 - 2. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-38))\/((-1)\/3). Let y be 4*(-9)\/(-60) - 117\/(-380). Let o = y - h. What is the nearest to -2\/7 in 0.4, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 - 1870\/9. Let d = -0.2 + -0.2. What is the closest to 1 in d, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -253, -242, -231, -220?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 304*b + 17020. Give u(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -816.1, 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*d, 2*z = -0*d + 3*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let r(d) = d**2 - 8*d - 3. Let s be r(6). Let u = -12 - s. Let v = -9 + 7. Sort 5, v, u in descending order.\nAnswer: 5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -29. Let j(v) = -26*v**2 + 17. Let b(f) = 9*f**2 - 6. Suppose g + 5*l = -24, -g = -2*l - l - 16. Let p = g - 7. Determine p*j(y) + x*b(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (0\/(-6) - -4). Find the third derivative of 0*q + 11591*q**6 - 11594*q**6 + 0*q + 77*q**2 + 29*q**u wrt q.\nAnswer: -360*q**3 + 696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -400, 0, 7, 30, 4, 2 in ascending order.\nAnswer: -400, 0, 2, 4, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*d**5 - 776*d**4 - 5992*d**3 - 10192*d**2 - 6012*d - 936 = 0. Calculate d.\nAnswer: -3, -1, -6\/25, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t - 0. Let g = 7 - t. List the prime factors of g\/9 + (-115)\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 44547 + 26547. List the prime factors of o.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1025 - 1028. Sort -2, k, -41.8 in decreasing order.\nAnswer: -2, k, -41.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568778421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8881 + 3449 = -194*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = -30*j + 2*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610175 is divided by 2962.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x + 4*h, -4*x + 50 = -0*h - h. Suppose 0 = -5*u - 11 + 31. Suppose -u*l + 0*l + x = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -5b913b?\nAnswer: 5b9142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 111569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 27b?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2728 divide 1409128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 10*n + 1. Let g be x(-10). Solve -11 - g = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 333873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1324.57 nanometers?\nAnswer: 0.00000000132457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j + 2*j + 4 - 4*j + j. Let q be k(-4). Let b(u) = -u**2 + 13*u + 10. What are the prime factors of b(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11944 is divided by 241.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/7 + 1326*p**4\/7 + 314*p**3 - 292566*p**2\/7 + 1478840*p\/7 - 1189800\/7 = 0.\nAnswer: -661, -18, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 1011?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f + -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {h: 2, o: 3, s: 7}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b - 6 = -6. Let t be (2\/3)\/(1\/(-3)). Let v(r) = -r**3 + r + 2. Let d be v(t). Solve -2*y + d = -b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5317*z**3 - 58*z + 1 wrt z.\nAnswer: -31902*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9 + -0.1434867?\nAnswer: 47.7565133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6021 + -6018. Solve -x*h + c - 1 = 0, -5*h + 9*c = 10*c - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/21))\/(u**(-4)\/u)*u**14*u*u**(2\/41)\/u assuming u is positive.\nAnswer: u**(17180\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 2, p: 2, d: 3}. What is prob of picking 2 d, 1 p, and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 11:08 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 44 = 66. What is the least common multiple of 4\/16 - w\/4 and 1 - 1 - (-6)\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Let x be u\/(-8)*-4 - 1. Is x greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 380?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1032*o**3 - 3*o**2 + 49 wrt o.\nAnswer: -6192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 3. Let w(b) = 2*b. Calculate c(w(a)).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let g(l) be the third derivative of -l**6\/90 - 5*l**4\/6 + 7*l**2. Let d(k) be the second derivative of g(k). Determine a(d(z)).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 1264?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 471109\/30 + -15702. Calculate the common denominator of f and 137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1725\/8625)\/(((-3)\/((-570)\/4))\/(-2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 3.8, 0.58, 3\/7, 78, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*r*u**3 - 947*k*r + 1287*k + 8*r*u**3 + 3*r*u**2 + 1389*r + 2*u**2 - 11*u wrt k.\nAnswer: -r*u**3 - 947*r + 1287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + 27. Suppose b + 3 = -4*t. Let a(y) = -y**3 - y**2 + 3*y + 2. Let o be a(t). Solve o = -4*l - 3 + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 8. Let x be c(-6). Let l = x + 6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 43*q + 48552 = 0. Let x = q + 5234. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w**3 - w**2 - w + 1. Let p be n(1). What is the lowest common multiple of 9 and (-15 - p)*(-11 + 0)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*f - 44 = 14, 0 = -5*f + 10. Let t = -12 - w. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))\/a**(4\/21) assuming a is positive.\nAnswer: a**(43\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*i + 155, 2*n - 29 = -3*i + 34. What is the greatest common factor of n and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + j**2 + j - 1. Let y be (-164)\/8 - 1\/2. Let l be (-6)\/8 + y\/(-12). What are the prime factors of s(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 3*s + 37. What is the tens digit of p(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/112902296 and -73\/10.\nAnswer: 564511480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 7*h**4 - 16)*(-1 - 3*h + 1) - h**5 + h**5 + h**5.\nAnswer: 22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*j**2 - j**3 - 33*j**2 - 30*j**5 - 4*j**2 + 4*j**2 + 3*j**5 + (-j + 0*j - 3*j)*(3*j**4 - 4*j**4 + 4*j**4).\nAnswer: -39*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374552*n**3 + 187284*n**3 + 187262*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f - 2*j, 2*f + 2*f - 5*j = 2. Let u be 1 + 2 + f\/2. Solve 3*l - h = 15, 0*l + 5*h + 10 = u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779*y + 3870 + 3141 = 0. Solve y + 83 = 46*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 576 - 90. Suppose 4*g + 26 = b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 44 = -41. Let x = 15 - w. Let p(k) = 3*k**2 + k + 2. Give p(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21 and 209.1?\nAnswer: 188.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**3 - 37*r**2. Let n(k) = 3*k**3 - 19*k**2. Let u(l) = -3*c(l) + 5*n(l). What is the third derivative of u(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*y**3 + 0*y + 0*y + (-1 + 0 + 2)*(2*y**3 + y**3 - 6*y**3) in the form v*y**3 + j + x*y + c*y**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 + 2*p - 9. Let x(u) = 4*u - 21. Let t be x(6). What is the lowest common multiple of 21 and f(t)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 922\/9*n**4 - 44\/3*n**5 - 1994\/9*n**2 - 910\/9*n**3 - 10\/3*n + 0 = 0.\nAnswer: -1, -1\/66, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/40*-16)\/(2\/15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 20317556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 281*u**4\/6 + 2031*u**2 + 380*u + 5. What is the derivative of o(c) wrt c?\nAnswer: 1124*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20 - 15 - (-1992 - -2). Suppose 24*l - 117 = n. What is the greatest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**3 - 3*k**2 + 23*k + 40. Give o(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 1680 = -16*v + 52*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110387632 times -11?\nAnswer: -1214263952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2680, -4, -48, -2 in decreasing order.\nAnswer: 2680, -2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -307. Let p = k + -105. Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392.3409 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3111 - 34?\nAnswer: -3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 66871 + 66902 = 133728 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -389*r + 9. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/16 and -149\/119712.\nAnswer: 119712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.87 + 6. Let s = 0.4 + -0.27. Let l = t - s. Which is the closest to -1? (a) l (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 times 54?\nAnswer: -1.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -714*b**4 - 13*b**3 + 3*b**2 + 100009 wrt b?\nAnswer: -2856*b**3 - 39*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6680 is divided by 2223.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 51. Let z be ((-4)\/(-3) + -2)\/(r\/9). Sort 5, z, 25.\nAnswer: z, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(832))**2 + -3.\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 772120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5265 and 632057985.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3362 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15564569329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from hammhahh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2025, -3161, -2545, 699, 7447, 18575, 34959?\n\"Answer: 146*m**3 - 2158*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*g - 52*g - 2*g as s + t*g and give t.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*j + 3 = 1, -36 = -5*h + j. Suppose 2*o - 10*w - 4 = -12*w, 4*o + 5*w = h. Sort o, -59, -5 in descending order.\nAnswer: o, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798834 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87865 + 88217 = 32*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d + 10. Calculate k(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007 + 1237.\nAnswer: 1237.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -15. Solve 0 = 3*h - 4 - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3355.916046 rounded to 1 dp?\nAnswer: -3355.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 14*d = -28 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1035014 - 12046?\nAnswer: 1022635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = 15. Let y be 10\/5 + (-2)\/(-2). Let c = g - y. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -505801 - -505797. Let p = 0.1 - -0.1. What is the second biggest value in y, p, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 21, 1, -1, 304, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/315*-3*117)\/((-1109)\/7763)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*u + 52107 = -6018. What is the lowest common multiple of u and 1175?\nAnswer: 17625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.33943ml?\nAnswer: 0.03133943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**19*i)\/i*i\/(i\/(i*(i*i**(1\/3))\/i)))**(7\/6) assuming i is positive.\nAnswer: i**(-175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 8*z**2 - 6*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170841.\nAnswer: 3, 11, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u = -3 - 60 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 35461260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyy when three letters picked without replacement from yyyyyxxy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*n - 9 = 0, -2 - 4 = -b - 5*n. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*6)\/((65\/(-5))\/13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 640545702 to the power of 1\/2, to the nearest integer?\nAnswer: 25309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/448 and 73\/80.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 3 = 0. Suppose -5*a - 6 = -21. Sort v, 5, a in descending order.\nAnswer: 5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 9*n**2 + n + 4. What are the prime factors of b(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326*a**2*k + 61*a**2 wrt k?\nAnswer: -326*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-22 + 16 + 30)*(0 + 1 + 0)*(-s + 1 - 1).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -15. Suppose f + 5 = 4*d, 20 = -m*d - 2*f - 2*f. Solve -4*x - 4*c = d, 2*x + 2*x + 9 = 5*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 1.2. What is the third smallest value in d, 0.3, -3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*k + 94*k - 39*k + 181 as q*k + s and give s.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n + 18. Calculate y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -0*l - 2*l, -5*h + 5*l = -10. Let n(f) = -f**3 + 2*f**3 - h*f**2 - 6 + 0*f + 4*f. Calculate the smallest common multiple of n(4) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and -634967869454.\nAnswer: -634967869469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92717190 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 65*n + 190. Let a(g) = 2*g**3 - 2*g**2 - 21*g - 8. Let t be a(4). List the prime factors of f(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (13 - (0 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536080 and 460?\nAnswer: 12329840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*p - 165 - 16 + 33*p**2 + 181.\nAnswer: 33*p**2 - 481*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155683470?\nAnswer: 2, 3, 5, 103, 50383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1015 + 1011. Let p = -3 + 2.9. What is the closest to -0.2 in 0.02, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7193 and -88040.37.\nAnswer: -95233.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.55 (b) 45 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 11*j + 10 = 0. Suppose 2*d - 6 - 35 = -h, j*d + 4*h - 26 = 0. Let m = 94 - d. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 127 = -365. What is the derivative of -71*d**2 + 35 + g*d**2 + 117*d**2 - 247 wrt d?\nAnswer: 256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:17 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/8 + 25*y**4\/8 - 167*y**3\/8 + 119*y**2\/8 + 21*y - 18 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*r = 94, -4*r + 37 = -m + 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 247*u + 130. Is 65 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104.1 - 97. Let i = -13870469.2000053 - -13870476.3. Let l = z - i. Round l to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47960 and 68720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnnnlblnnnnnnl. Give prob of picking 2 n.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 5*u - 5*u)*(-14 + 5*u + 14).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -23*y**3 + 1. Let x be d(-1). Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 11*u**2 + 9*u + 9. Let p be j(-5). Find the second derivative of -86*n**5 + p*n - 197*n - 140*n - 120*n**5 wrt n.\nAnswer: -4120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62.72 and 31.952806?\nAnswer: 30.767194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3541 + -478079\/135. Let p = -2\/27 + g. Let v be 5\/12 - 1\/4. What is the nearest to 2\/7 in p, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -84*q + 515. Calculate x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331083941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/113, 2481, 1\/4, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d, 3*d = 2*p - 312. Is 52 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*c - 10*c + 2*c)*(-2 + 10 - 6) to h*c + u and give h.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 409325 < 409323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90, 126, 162, 198, 234, 270?\n\"Answer: 36*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221020012 - 100220?\nAnswer: -1221121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -26. Suppose -3*v - 120 = -5*m + 197, 5*v + q = 0. Suppose -l = 1 - m. Calculate the highest common factor of 40 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17\/2)\/k*k**(3\/11))\/(k**(-2\/15)\/(k**3*k*k)) assuming k is positive.\nAnswer: k**(-1351\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 711592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 622253.4*0.08\nAnswer: 49780.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 6:07 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:24 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from wwwwgwwwwwwwgwwwwwww.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a763 - -8?\nAnswer: -a75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3892720 - -3892742.717369. Let m = z + 12.282633. Let n = m - 35. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f - 15. Let c be k(2). Let t be (10\/6)\/(1\/(-3)). Put t, -2, c in descending order.\nAnswer: c, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let t(i) = -i**3 - 2*i**2 + 1. Let j be t(f). Put j, 2, 4 in decreasing order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(40\/10)*(-231)\/99?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/203, -10.3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - f. Let h be b(1). Suppose 20 = 7*r - h*r. Let y be (-48)\/(-60) + (-6)\/(-5). Solve 2*j + r*c = 0, 0*c + 1 = y*j + 5*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gettgegkggg. What is prob of picking 1 g and 1 t?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4079\/3 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(200))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 43*s + 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394 by -2.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 1, 6, 3, -5, 2 in ascending order.\nAnswer: -5, 1, 2, 3, 6, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -75*u**3 + 5*u**2 + 44*u + 249. What is the units digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.9 - 63. What is l rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*p = 3*p + 4589, -8 = -4*p. Let o = -186 - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011010001100100 (base 2) to base 10\nAnswer: 46180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g*y**4 - 2*g*y**3 + 2*g*y - 6*g + 2*y**4 - 16*y**2 wrt y.\nAnswer: -144*g*y - 12*g + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f - 7. Let d(j) = 7*j**2 + 7*j. Let m(h) = 15*h**2 + 15*h - 1. Let c(x) = 13*d(x) - 6*m(x). Let i be (-8)\/10*90\/12. Give i*c(n) - 5*t(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -3)*1\/5. Let v = 241 - 493. Let z be (-36)\/v*(-1 + 5). What is the second biggest value in z, 2, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -704 - -13378\/19. Let u = -1883\/6 - -313. Put -0.2, v, u in descending order.\nAnswer: v, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15))**12 assuming a is positive.\nAnswer: a**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73466 is divided by 4276.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 624396, 624401, 624418, 624453, 624512, 624601, 624726, 624893?\n\"Answer: y**3 - 2*y + 624397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from lmmlkmwmwws?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360*x**2 - 1728*x**3 + 12*x**4 - 27*x**2 + 3063*x**3.\nAnswer: 3*x**2*(x + 111)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 68, 111, 154, 197, 240?\n\"Answer: 43*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1301363 divided by 137\nAnswer: -9499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8911*i*v**3 + 434*i - 2*v**3 + 11*v**2 + 18224*v - 3 wrt i?\nAnswer: -8911*v**3 + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 4, a: 3, y: 2}. Give prob of picking 1 y and 2 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let l(m) = 24*m + 20. Give -44*h(a) + 2*l(a).\nAnswer: 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2. Let v(m) = 79583479*m**2. Determine t(v(d)).\nAnswer: 31667650648717205*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/9)\/3)\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + sqrt(400)\/sqrt(8)*5 - (2 + sqrt(16)\/sqrt(8) + (4*sqrt(14)\/sqrt(7))**2)).\nAnswer: -28 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 3. Let r(l) = 21*l + 16. Suppose -2*z = x, z + 41 - 42 = 0. Calculate x*r(q) - 11*b(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14ae88 + -5?\nAnswer: 14ae83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 989907, 1979387, 2968867, 3958347, 4947827, 5937307?\n\"Answer: 989480*y + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(24)\/sqrt(4)) - sqrt(14))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3\/5 + 204256*l**2\/5 - 817072*l\/5 + 817088\/5 = 0?\nAnswer: -51068, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/40)\/(97 + (-105270)\/1100)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y + 268. Calculate the remainder when 28 is divided by w(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3715 is divided by 113.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56224.41 micrometers in kilometers?\nAnswer: 0.00005622441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*j**2*y**4 + 9314*j**2*y + 845*y**2 - 2*y + 1 wrt y?\nAnswer: 360*j**2*y**2 + 1690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 36966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 9*k + 49*k - 1991 + 1249 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(605) + sqrt(605)*-1)*-5 + -5 + 2*sqrt(605)).\nAnswer: -44*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from ylyiyyuuyyuyluy.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55294?\nAnswer: 2, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 12*n**2 + 26*n + 37. Calculate k(-6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 180034, 3\/5, 32 in increasing order.\nAnswer: -3, 0.2, 3\/5, 32, 180034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -2428?\nAnswer: -242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 947 = -40*j + 307 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -892, -3001, -6210, -10525, -15952, -22497, -30166?\n\"Answer: -v**3 - 544*v**2 - 470*v + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (57 - -37) - 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 11)\/((-2)\/4). Let i = c - -44. Let j be -2 + 3\/(i\/40). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 2476, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5 + 7*a**4\/5 - 23*a**3\/5 + a**2 + 6*a\/5 = 0 for a.\nAnswer: -3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.4 - -3.6. Let j = k + -24. Let b = 162 + -165. Sort 2, j, -0.5, b in descending order.\nAnswer: 2, -0.5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(107*d**3 - 110*d + 110*d) + 27 - 26 - 7*d + d**3 + 9*d in the form f*d**2 + j + s*d + g*d**3 and give g.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 366846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -8. Sort w, -1, 13.\nAnswer: w, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/13 - 5785296*t\/13 + 11570600\/13 = 0.\nAnswer: -2892650, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)*g)**(-8\/5)*(g*(g**(-6)\/g)\/g)\/(g*(g\/(((g\/g**(4\/5))\/g)\/g))\/g))**(-26) assuming g is positive.\nAnswer: g**(4238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 920118503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 3*z**2 - 4*z - 2. Let a be v(-2). Suppose -k + c - a*c = 0, -2*k + 3*c = -10. Solve 3*g + 4*w = -k*g + 12, 2*g + 2*w - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 19 + 33 + 20*f - 52.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(960) + 2*sqrt(6000))\/(5*sqrt(108) + (sqrt(12) - (1*sqrt(96))\/sqrt(8) - sqrt(12))).\nAnswer: 16*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15926, 31850, 47774, 63698, 79622, 95546?\nAnswer: 111470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 36 = 0. Let k = 492 - 283. Suppose -x + 74 = u + 2, 3*u - 4*x - k = 0. What is the remainder when u is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = -53. Let t be (y\/(-4))\/((-4)\/(-8)). Solve -2*l = 3*p - t, 3 = l + 3*p - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178? (a) 0.2 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/62, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) + sqrt(1078)*4 - (sqrt(176)\/sqrt(8)*-1 + sqrt(22)))\/((-5*1*sqrt(4))\/(sqrt(162)*-1)).\nAnswer: 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 63. Let d(c) = -37*c**2 - 34*c**2 + 114*c**2 - 40*c**2. What is d(g(r))?\nAnswer: 12*r**2 + 756*r + 11907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 38 + 56 + -57?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190 or 318091?\nAnswer: 318091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/3 + 18070*m\/3 - 84196 = 0. Calculate m.\nAnswer: 14, 9021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*d - 259*d - 20*d**2.\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z**(1\/3))**(8\/7))**(-5) assuming z is positive.\nAnswer: z**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005118121 rounded to seven decimal places?\nAnswer: -0.0000512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010372688 to six dps.\nAnswer: -0.010373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 11*g + 40. Solve g*p - 8 = 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 4:36 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 - r - 27. Let u be s(5). Let p = 85 - u. Let x = -6 - -11. Sort p, -3, 1, x.\nAnswer: p, -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d + 3. Let m be (-2)\/(d + 2) - -6. Suppose -38 = m*y - 122. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -517557\nAnswer: 1\/517557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:09 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-56)\/8 + 6). Suppose -c + 5*g = 10*g - 19, -2*c + 3*g - 1 = a. Put 13, -5, c, -3 in ascending order.\nAnswer: -5, -3, c, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) 11 (c) -0.023 (d) 41 (e) 0.5 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*r = 23 - 13, -r = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -1388*p**3\/3 - 5*p**2\/2 - 2*p + 5. Let r be g(6). Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 225 - -24c?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*t = 1 - 11, 0 = -2*k + t + 64. Let h = 12 - -93. Calculate the greatest common divisor of h and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3053, 6102, 9151, 12200?\nAnswer: 15249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {k: 6, n: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 5, 31, -2\/21, 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**2 - 227*c + 2. What is w(3)?\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 48 - (5 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 79667254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -13. Let l(p) = 4*p + 3. Let i be l(k). What are the prime factors of 1\/i - (-864)\/45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 96*k = -101*k - 3, 5*d + 27*k + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482*d**2*u**2 + d**2*u + 46*d*u**2 + 4*d*u wrt d.\nAnswer: 964*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + de5?\nAnswer: de4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -2*h - 3, 2*h + 23 = 3*j. Sort 3, h, -5 in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 p when four letters picked without replacement from {p: 6, k: 9, e: 2}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1171*f - 68874. Give t(-59).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215491649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 10 = -4*u + 2*n, -u - 4*n = -20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 1750.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-24)*(-308)\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3528 + -753. What are the prime factors of w?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -3974.\nAnswer: -3\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.637 or 9.3661?\nAnswer: 0.637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892269.\nAnswer: 3, 7, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/1*9\/(-504)*14.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c (base 13) to base 2.\nAnswer: -11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -44578.8658 to the nearest integer.\nAnswer: -44579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/(x\/((x**(-3\/4)*x)\/x)))\/x*x)\/x**10)\/(x\/(x**(-6\/5)\/x)*x\/(x**25\/x)) assuming x is positive.\nAnswer: x**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 473153039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 9. Suppose s*k + k = 125. Solve 0 = 2*c + 3*c - j - 23, -5*j + k = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3641*w - 4204*w + 585547 + 34600 - 8237 = 0 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -29, -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6993*b**4 + 31*b**2 - 6994*b**4 + b + 0*b + 8 to d*b + k*b**2 + r*b**3 + a*b**4 + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*k + 262*k = -208*k - 798 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 7*t = 210. Solve b = -2*y + 2, -t = -5*y - 5*b - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10*c - 12 = 0. Let n be (522\/c)\/((-15)\/6 - -3). Suppose -n - 228 = -8*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18711 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let l(i) = -7*i + 2*i + 13*i. Determine -2*l(b) - 14*o(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 7*q + 8. Let p(d) = -d**2 - 6*d - 1. Calculate the remainder when x(-6) is divided by p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {b: 1, h: 5, u: 5, s: 1, p: 2, n: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27cc + 336a?\nAnswer: 5b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z. Let c(k) = -k**2 - 9*k + 4. Let i be c(-9). Solve 0 = -p + 3*n + i, -p + 5*n + 12 - 2 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 4, k: 1, q: 3}. What is prob of sequence qqqk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 4, -689084 in decreasing order.\nAnswer: 4, -0.06, -689084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 19*u**2 - 83*u - 2001. Calculate i(-20).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72352837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 17*z - 3*z)*(4*z**3 - 2*z**3 - 3*z**3) to i*z + s + a*z**3 + q*z**2 + n*z**4 and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6568147821 rounded to the nearest 1000000?\nAnswer: -6568000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*o + 70*o + 36*o)*(-o + 1 - 1) - 39*o + 39*o + 24*o**2 to w + t*o + c*o**2 and give c.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -625 + 692. Calculate the remainder when 602 is divided by g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 0*l**2 + 0*l**2 + l**2 - 4. What is the units digit of z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*u**2 + 32*u**2 + 6*u**2.\nAnswer: 78*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5\/(-3) + (-11 - (-13692)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6073916\nAnswer: -1214783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26580226*s**3 - 299860*s**2 - 3*s - 25 wrt s.\nAnswer: 159481356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 - 1 + 31*o - 80*o - 67*o**2 - 2*o**4 + 52*o - 2 in the form n*o**3 + i + l*o**4 + h*o + c*o**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6301331 is divided by 2100418?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9*p**2 + 8*p**2 - 15)*((-2 + 3 + 1)*(0*p + 3*p - 4*p) - 6*p + 2*p - p).\nAnswer: 7*p**3 + 77*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 2*r - 69. Let v be s(10). Solve -7*m + v*m - 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12526 + -10484. List the prime factors of b.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.026*6093\nAnswer: 158.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 0*s**2 + 2*s**2)*(2*s**2 - 2*s**2 + s**2) + 3*s**4 + 0*s**3 - s**3 + 7*s**4.\nAnswer: 8*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 203.9 to 0 decimal places.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4670073324 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338184973?\nAnswer: 7, 48312139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1378511450918.9579958 - -1378511067491. Let a = 383428 + k. Let p = -0.042 + a. What is p rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4 - 4*j**3\/3 + 3*j**2\/2 - 2*j + 7. Let m(q) = 2*q + 4. Calculate the smallest common multiple of m(3) and o(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = 3*r + 4*o, -6*o = 5*r - o + 485. Let k = 136 + r. Which is greater: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4555579ml to litres.\nAnswer: 0.0004555579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 156 = -l - 2*l, 0 = 3*l + i - 174. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*2\/(-4) - -12. Let h be ((-7)\/(-14))\/(3\/o). Suppose -z = 2, -h*y - 2 = z - 6. Solve f + 10 = -2*n, 2*n = -y*n + 4*f - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 41*v + 5. Let w be r(4). Suppose 0 = 5*y - 196 - w. Calculate the remainder when y is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 152 = -3*g + 8, 2*v + g + 298 = 0. Let x = -85 - v. Let s be (-30)\/(-26) + (-10)\/x. Solve -3*m = -4*d + 7, 2*m - d + s = -7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (0 + (-7 - 1) + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -125, -975, -3295, -7823, -15297, -26455, -42035?\n\"Answer: -123*o**3 + 3*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9565934, -9565944, -9565966, -9566006, -9566070, -9566164?\nAnswer: -9566294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 151 = 65. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k + 2*y, 2*k = -2*k + y + 3. Suppose -2*w + 40 = k*w. Calculate the lowest common multiple of 18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 + 73. Let k = z + 113. Which is the biggest value? (a) k (b) -0.06 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26226 divided by -558.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-4)\/3)\/(-4))\/(-3). Let t = -2\/9 + d. Let u = -0.02 + -0.28. What is the nearest to -1 in u, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*c + 10, 2*k - c + 2 = -0*c. Suppose k = 3*b + 6, -2*s + 2*b = -3*b - 180. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose -5*v + 3*c = -14, 4*c + 12 = -f. What is the remainder when v\/((-4)\/(-216)) + 0 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379\/11 - -35. What is the biggest value in 3, 0, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.3, 0.03, 202?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 450283 divided by -1?\nAnswer: -450283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 6*w + 27. What is the units digit of y(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 0*g)*(1 - 1 - 1 + 1 - 5 + 2 + (0 - 1 + 0)*(1 - 1 - 1) + (0 + 2 - 3)*(-3 + 0 + 2))*(7*g - 6 + 6).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 965*a**2 - 208*a**3 - 965*a**2 - 7*a**3 - 4*a**3 + 2*a**3 + 4*a**3 - 2*a**3 + 0*a**3 + (a - a + 2*a**2)*(2*a - 4*a + 3*a) - 4*a**3 + 3*a**3 + 0*a**3.\nAnswer: -214*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30708 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.920263 millilitres?\nAnswer: 0.006920263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72.76 + -0.76. Let u = h - 71.943. Round u to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5197.91l?\nAnswer: 5197910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 3910 = -32*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 757, 2871, 6389, 11317, 17661, 25427, 34621, 45249?\n\"Answer: k**3 + 696*k**2 + 19*k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 861 = -67. What is the greatest common divisor of 29 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6)\/(-5))\/((-1522540)\/(-60900) - 25)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltllmlemellmmlml. Give prob of picking 1 t and 1 e.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*k - 4*s - 4226, -3*s = 5*k + 7037. Let h = k + 2562. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720d (base 14) to base 11.\nAnswer: 13810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -464331 (base 7) to base 3.\nAnswer: -11020002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 0.03, -1, 2\/15 in descending order.\nAnswer: 2\/15, 0.03, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.240469 tonnes to kilograms.\nAnswer: 7240.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*36892041.\nAnswer: -184460205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*p + b + 92 - 32, 4*b - 141 = 5*p - 171 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -141831 and -141835 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 12*i - 4. Let f be c(7). Let j = f - -969. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1916116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (11 - (2 + 0))) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**2 + 15*m + 6*m - 37*m + m**2 wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -339\/84803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1383676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22312 and 904.\nAnswer: 2521256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 87. Let b be s(-12). Let f be (-4)\/b + 440\/120. What is the greatest common factor of f and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:40 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/5 (b) 1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.562 + -0.6. Let j = n + 0.038. Which is the second smallest value? (a) j (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*k + 54 - 66, 2*k + 4*g = -20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3 (c) 2 (d) 103 (e) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2020.2 - -2020. Let b = 0.7 - 0.5. What is the closest to l in b, 2\/9, -5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-8))\/(6\/4))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33521, 134273, 302191, 537275, 839525, 1208941?\nAnswer: 1645523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let b be 12*-1*i\/(-3). Factor 2*u**3 + 4*u - 2*u**5 - b*u.\nAnswer: -2*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cncfnncnnfcnfccnnc. What is prob of picking 3 f?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 65 = n - 65 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0205673 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 305805, 612093, 918385, 1224681, 1530981, 1837285?\n\"Answer: 2*p**2 + 306282*p - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123 or -121?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 5. Let w be r(4). Let b be w\/6*2*-1. Let p be b\/2*8\/(-10). Solve -2*l = o - 5, 2*l = -p*o - 2 + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1248916*i**2 + 6590415?\nAnswer: 2497832*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -60. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -87 (b) -0.1 (c) 83\/7 (d) -89 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:04 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/3360 + 4\/(-70)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + (4 - (1 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32494824 and 9477657.\nAnswer: 227463768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 o when four letters picked without replacement from kkkoookk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**27\/x)\/x*x))\/x**(-21) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312*a**3*r**2 - 5*a**2 - 8*a*r**2 - 3*r**2 wrt a?\nAnswer: 1872*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1551, -1552, -1555, -1560, -1567?\n\"Answer: -x**2 + 2*x - 1552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-46)\/2576).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2\/3*d**2 - 16\/3*d - 14\/3 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3208010 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 20338 + 5*d - 2260.\nAnswer: d + 18078","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 18*o**2 + 23*o - 53. Find the common denominator of 38\/1887 and j(19).\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 15. Let x(i) be the third derivative of -1\/24*i**4 + 0 + 1\/3*i**c + 2*i**2 + 0*i. What is the derivative of x(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - 10101000100111001110000?\nAnswer: -10101000100111010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 60. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 885442121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 20. What is the remainder when h(-14) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-10))\/(24\/(-60)). Let n be v\/9 - 318\/(-27). Suppose 212 = 16*q - n*q. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 426790.463 to the nearest 10.\nAnswer: 426790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*y = -116*y + 8. Sort -4, y, 6 in decreasing order.\nAnswer: 6, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f. Let d = 1232 + -1228. Sort d, f, -0.1 in decreasing order.\nAnswer: d, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02367 times -927?\nAnswer: 21.94209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, -62, -70 in descending order.\nAnswer: 43, -4, -62, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -3. Let n(b) = 8*b + 88. Let u be n(-10). Suppose -x*k + u*k - 220 = 0. Calculate the remainder when k is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 296351143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4515, -4504, -4469, -4398, -4279, -4100?\n\"Answer: 2*r**3 - 3*r - 4514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.6 - -36.746. Let i = a + -0.146. Let z(j) = -j**2 - 2*j + 2. Let l be z(-3). What is the fourth smallest value in -0.2, l, i, -2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/648*(-77 - (-40)\/(-1))\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 - m + 8. Let c be d(0). Suppose 10*l = c*l. Solve 2*x = -s + 6*s - 14, -s - 5*x + 19 = l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4 + 0 + 4*g + 0*g. Let y be d(2). What is the units digit of 207\/y - (-1)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35227 - 25?\nAnswer: -35253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1537*b**2 - 1535*b**2 + 2 - 5.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)*w)\/(w\/(w\/w**26))*w\/w**(-2\/29)*w*(w\/w**(2\/37)*w)\/w*w*w*w*w assuming w is positive.\nAnswer: w**(-58967\/3219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2201026742 to the nearest integer?\nAnswer: 46915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16713 + -8342. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1798)\/(1889\/58559)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iafiiai. What is prob of picking 1 f, 1 i, and 1 a?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, 1, -11.\nAnswer: -11, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/3, 2\/21, -1, -0.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b - 3. Let l be ((-75)\/20 - -3)\/((-1)\/24). Suppose n - l = 10*n. Let y be (n + 4)\/(4 + -6). Let h(s) = -s + 1. Calculate y*g(q) - 5*h(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*q - 2*d, -2*d - 2*d = 5*q - 80. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/(3\/8)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:59 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5300, 22143, 50208, 89489, 139980, 201675, 274568?\n\"Answer: -l**3 + 5617*l**2 - l - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 - 16*f**2 + 11*f**2 + 2*f + 10*f + 2*f**2 in the form p + q*f + l*f**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*y**3 + 1\/5*y - 6\/5 + 6\/5*y**2.\nAnswer: -(y - 6)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 692572 and 1473827?\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - u + 3. Let t be z(3). Let q be t\/(-15)*(6 - 1). Let g(j) = j**2 + 18*j + 24. Let i be g(-16). Is i at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 54 = 0. Suppose -5*o - 2 = -17. Suppose l + 9 = -4*q, -2*l + x = l + o*q. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y + 966. Let w(l) = -42*l - 2897. Calculate -11*d(a) - 4*w(a).\nAnswer: 3*a + 962","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a\/(a\/(a\/a**(-2\/7)))*(a**1*a)\/((a*a*a**(-5))\/a))\/((a**(-1))**(-44)*(a**(2\/5))**(-22)) assuming a is positive.\nAnswer: a**(-767\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + p + 0)*(-3 + 2 - 1) - p + 7*p + 15*p)*(1 + 4 - 3 - 2 + 1 + 0 + (-2 + 1 - 1)*(-3 + 4 + 1) - 1 - 2 + 1 + 0 - 7 + 1) to u*p + k and give u.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67195\/27804 + 1\/13902. Find the common denominator of d and (-93)\/126 - 5\/(-20).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63109 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 = -0*r - 2*r, -p - 15 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 606 = 249. Let a = 122 - y. List the prime factors of a.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a minute?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152069737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 2*x - 1. Let r be d(1). Suppose n = 5*p, -2*n = -4*p - r*p. List the prime factors of (-414)\/(-9) + n + 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o**2 + 0)*(36 - 11 - 25 + 346*o).\nAnswer: -692*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (20\/(-72))\/(2\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18450485.\nAnswer: 5, 23, 83, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 19*d**2 + 3*d + 90. Calculate b(-19).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2778 and 8.\nAnswer: 11112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkf. Give prob of picking 1 f and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*d**3*w**2 + 41*d**3*w + 3*d**3 + d**2*w + 1428*d*w**2 + 4*w**2 wrt d.\nAnswer: -102*w**2 + 246*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3122118 and 1734510.\nAnswer: 15610590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314276, 627852, 941442, 1255052, 1568688?\nAnswer: 1882356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbssssbsssjsjss. Give prob of sequence sjs.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/((-1)\/(-6)). Let q(j) = -2*j**a + 0*j + 0*j. Let l(o) = 4*o + 25. Let c(i) = -3*i - 15. Let x(k) = -5*c(k) - 3*l(k). Give x(q(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 16 = 2*p, 5*v + 16 = -4*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**5 - 11015*m**4 + 6061000*m**3 + 6072020*m**2 = 0.\nAnswer: -1, 0, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -7 - -5) + 12 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 183260.61 months?\nAnswer: 15.2717175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797645 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: How many minutes are there between 7:34 PM and 3:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = 5*p - 592, 5*h + p - 1613652 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.5 and 111709.\nAnswer: 1061235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -10, -22, -40, -64, -94, -130?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d. Suppose -2*j - j = d. Let l(t) = -t**2 - 2*t - 260. Let o be l(j). What is o rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*5*sqrt(475)*-6)**2 + -1.\nAnswer: 34627499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*b + 3*y, -y = -5*b - 5*y + 72. Let i be 4\/(b\/(-3))*(-8 - -4). Solve i = 4*w - w, -g - 2*w = -6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -1, -46, 1 in increasing order.\nAnswer: -46, -1, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -3 - ((-70)\/1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 31. Suppose -z*o + 0 = -9. Is -2\/5 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*y + y = -12, -2*s - 3*y = -15. Suppose -4*g - 9*q + 20 = -11*q, -s*q - 26 = -5*g. Which is the closest to 0? (a) 0.038 (b) -3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 9. Let s be z(-10). Suppose -51 - 93 = -12*t. What is the highest common divisor of s and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/30)\/1)\/((-194258)\/(-21115))*-1*3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-78)\/18)\/13)\/(1\/9))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 12540.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46751 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 192436231 a multiple of 3394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, g: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m. Let w(g) be the second derivative of g**4\/3 + 8*g. What is w(y(u))?\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1895 divide 222810310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*g = n + 13, -3*g - 1 = 2*n. Suppose 2*y - n*y + 20 = 0. Suppose 0 = y*d - 12, 0 = -2*u - 4*d + 2*d + 22. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119\/303 + 6\/101. Which is bigger: 2\/15 or z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/361255 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, 0, -1\/6, 7\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(16\/(-36))*1. Let p(b) = -b**2 + 3*b + 86. Let c be p(-8). Let i be (5 - 66\/11) + (-10)\/c. Solve i*l = k - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89152 is divided by 1415.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 20*t - 7*p - 11, 5*p + 10 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/1440 + h**5\/48 + 7*h**4\/32 + 89*h**3\/3 + 226*h**2. Let a(o) be the first derivative of c(o). Factor a(v).\nAnswer: (v + 3)*(v + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.3 (b) 2\/3 (c) 27 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 233*z - 698. Is k(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(13\/5)*(b*b*(b*(b\/(b\/b**(-1\/2)))\/b)\/b)\/b*(b**(-4)\/b)\/(b\/b**(-23)) assuming b is positive.\nAnswer: b**(-269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2025.3078 and -0.4?\nAnswer: 810.12312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 30\/43, 0, 0.4, -4, -5 in descending order.\nAnswer: 30\/43, 0.4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = -4*j - 4368. Let v be (15\/20)\/(2\/j). Let y = -151 - v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.94 - 0.06. Let z = -8.4 + 1.9. Let l = z - -7. Which is the third biggest value? (a) j (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*x - 279*x**2 + 180*x + 16*x**2.\nAnswer: -263*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**3\/3 + 19*q**2 + 136*q + 120. Let k be v(-34). Let z(f) = f**3 - f - 11. What is z(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:08 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.1. Let g = 1 - 0.8. Let a be (6\/(-14))\/(3\/2). What is the nearest to g in a, f, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3013*k + 78305. Calculate s(-26).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 8396 = 4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 4*y**2 - 6*y - 1. Let d be g(-5). Let v = -854 - -856. Put v, 0, d, -5 in descending order.\nAnswer: d, v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:12 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 1, v: 1, b: 1, f: 2}. What is prob of sequence tfgv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/22, -7, 3, -0.1, -1\/7.\nAnswer: -7, -1\/7, -0.1, 3\/22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 - -117. Let f be 36\/3 + (k - -8). Solve 15*i - f = 10*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 2*s**2 - 35 + 24.\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -209926 (base 11) in base 12?\nAnswer: -141b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 5. Let m(v) = 11*v - 2. Let u(k) = 5*k - 1. Let j(t) = 4*m(t) - 9*u(t). Determine d(w) + 6*j(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b)\/(b**(-2\/5)*b))\/((b\/b**(-12))\/b*b\/(b\/(b\/(b**7*b)))*b) assuming b is positive.\nAnswer: b**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(-10 - 0). Let s be (-2)\/m - (-32)\/(-5). Let n(l) = l**2 + 5*l + 1. Let t be n(s). What is the highest common factor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28810112 and 14405056?\nAnswer: 28810112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 3*h - 2. Let d be i(-1). Let z(l) = l**2 - 5*l**2 + d*l**2. Let j(k) = -4*k. Determine j(z(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r**2 + 201*r + 99 = 0.\nAnswer: -33, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 478, 468, 454, 436, 414, 388?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*k**3*z + 21*g*k**2*s - 2*g*k*z + 5*g*k + 3*g*s*z + k**3*s wrt s.\nAnswer: 21*g*k**2 + 3*g*z + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 175, 165, 133, 67, -45, -215, -455?\n\"Answer: -2*a**3 + a**2 + a + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 28*k - 767. Determine v(0).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 - 2*o + 0*o - 5 + 4*o. Let s be a(10). Solve 2*d + 8 = -2*k - 0, 3*k + s = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/840 - v**6\/60 - v**5\/120 - 7*v**4\/24 - v**3\/2 - 4*v**2. Let m(l) be the first derivative of t(l). Give m(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - 2*u + u**2)*(-4*u + 3*u + 4*u) - 2*u + 2*u**3 + 2*u + (2*u - u + 0*u)*(2*u - 2*u + u**2))*(-u**2 + 4*u**2 - 4*u**2).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 divided by 1151?\nAnswer: 256\/1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 33*p**2 + 51*p + 558. What is w(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**3 - 20*c**3 - 17*c**3 - 18*c**3 + 79*c + 76*c**3.\nAnswer: -2*c**3 + 79*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/110 or 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -35. Suppose -2*t - 4*p = -4, 4*t + p + u = -0*t. Let l = -13 + 8. What is the smallest value in -0.4, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1550633*g + 3174*g**3 - 3176*g**3 + 1550633*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 543\/362*(-1)\/3*20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19885457*p**2*q**2 - 2*p**2*q - 11*p*q**2 - 1073613*p wrt p?\nAnswer: 39770914*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + a**2)*(-4*a + 3*a + 4*a + (-1 + 1 + 2*a)*(-3 + 6 + 2)).\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 4\/6. Let r be 1 - -3 - (d - -1). Which is the second biggest value? (a) 2\/7 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283644 is divided by 6745?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 j when four letters picked without replacement from xjxxxjjjjjjjdjxjjfj?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4505073453 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -109, -179, -277, -403, -557?\n\"Answer: -14*o**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*f + 2348 - 278 = 0 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74 and -11657.\nAnswer: -862618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 17 - 5. What is the highest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/8, -0.5, -34\/13, -5 in ascending order.\nAnswer: -5, -34\/13, -0.5, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 4*q - 69. Let c(t) = -3*t**2 + 3*t + 53. Let w(y) = 4*c(y) + 3*p(y). Let s(l) = -3*l**2 - 3*l**2 + 5*l**2. What is w(s(a))?\nAnswer: -6*a**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1249\/494?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/6 - (-2)\/6. Solve -x = 4*j + l, 5 + 20 = 5*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 147602, 147588, 147560, 147512, 147438, 147332?\n\"Answer: -w**3 - w**2 - 4*w + 147608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 88*d - 12727 = 83*d for d.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673\/12 + -56. Suppose -3*m = -7*m + 4. Is m greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 6:40 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkkikk. Give prob of sequence kik.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 19*w**6\/30 + 23*w**5\/5 + w**4\/12 + 385*w**2\/2 + 383*w - 3. Find the third derivative of j(n) wrt n.\nAnswer: 456*n + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n + 3*n, -63 = -3*x - 3*n. Solve -3*k = x*k - 96 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1332212333 (base 4) to base 8\nAnswer: -1764677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59865 + 29931 + 29930 + 0*z**2 + 3*z**2.\nAnswer: 3*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czmy when four letters picked without replacement from zbzcmxxyxxby?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1094852*y**4 + 759167 with respect to y.\nAnswer: -4379408*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89130461, -89130462, -89130463, -89130464, -89130465?\nAnswer: -89130466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 5*t + 7, -3*k = -3*t - 3. Let f be 6\/(-3) - (-11 - k). Let r(n) = n**2 - 8*n + 5. Let o be r(f). Let c(j) = -j**2 + 4*j + 1. Calculate c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(-142*a**3 + 68*a**3 - 63*a**3 - a - 2*a**4 - 1).\nAnswer: 2*a**4 + 137*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 9*r - 3. Let z be d(9). Suppose 12*a = 9*a + z. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 10. Let u be y(4). Let o(r) = -739*r + 739*r - 5*r**u. Let t(b) = 4*b**2. What is t(o(c))?\nAnswer: 100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -5 in decreasing order.\nAnswer: 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 20. Suppose 0*l = 3*l - 5*s + 12, -l = 5*s - m. Suppose 64*t + 54 = 73*t. Solve l = -u + t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011001011100 + 1011?\nAnswer: -1001011001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 10. Let n(z) = -98*z**2 + 5*z + 4. Let b be n(-1). Let f = b + 107. What is o(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2*0 - -3. Solve -6*h**u + 0*h - 1\/2 + 13\/2*h**2 = 0 for h.\nAnswer: -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 1. Let n = 8 - 8. Suppose -i - 3*i + 4 = n. Calculate o(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(468) + 2)*-2 - sqrt(468)) + sqrt(468))**2.\nAnswer: 96*sqrt(13) + 1889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43475424 divided by 1811476\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*h + 3*n + 2, 5*h + 2*n = 2. Let m = -75803 + 75806. Find i, given that h*i**2 - 2*i + 2\/3*i**m - 4\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 46, 43, 42, 43?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91708918193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 30*r + 3. What are the prime factors of y(7)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 4*s**2 + 3*s**3 + 2*s**2 - 9*s**2 + 1 to the form r + h*s + z*s**3 + x*s**2 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let w be ((-4)\/(-20))\/(2\/20). Let c(u) be the third derivative of 0*u**3 + 0*u + 0*u**4 - 2*u**w + 0 + 1\/30*u**5. Determine v(c(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24684535 divided by -7?\nAnswer: -24684535\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*g - 12 = 0, 2 + 0 = g. Suppose -4*y = -x*w + 12, 0 = 4*y - 6*w + 3*w + 8. Solve -4*z + 5*z - y = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.786 in -2\/3, -4, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 - 23 = 0. Let s(c) = 11*c**2 + 2 - 10*c - 64*c**3 + 1 + 63*c**3. What is s(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128471 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-460*4550\/(-66976))\/(10\/8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(510\/17))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 496*l + 494*l + 2 = 0, 2 = 3*u + 2*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308 - 302. Let o(g) be the first derivative of -27\/4*g**2 + 6 + 27\/4*g**x + 3\/2*g - 81\/10*g**5 - 27\/4*g**4 + 13*g**3. Determine q, given that o(q) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**6*c*n + b**3*c*n + 5*b**3*c - 5*b**2*c*n - 7*b**2*n - 2*b*c*n + 6*b wrt b.\nAnswer: 720*b**3*c*n + 6*c*n + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 230*x + 708.\nAnswer: -2*(x - 3)*(x + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 190484.64ns in minutes?\nAnswer: 0.000003174744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**3\/6 + 6*y + 16. Let a(p) = 8*p**2 + 7. Determine a(l(i)).\nAnswer: 8*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*x + 1241, 3*k - 468 = -5*x + 449. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1182 - -1236. What is the least common multiple of p and 972?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46058 * 0.229.\nAnswer: -0.10547282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/33))*d**(-11)\/d*(d**(-1\/10)*d)**12)**(-47) assuming d is positive.\nAnswer: d**(9776\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**3 - 11*f + 16*f - 6*f + 2 in the form g*f**2 + s*f**3 + m + a*f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 312 and 813460\/2603 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 269814335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45988368 and 8.\nAnswer: -367906944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048267 to 5 dps.\nAnswer: 0.00483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -3 - (-2 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/246 and -5 + (9 - (-9400)\/(-2296)).\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 985\/3 (c) -12\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 + 0*v**3 - 11\/42*v**7 + 0*v**6 + 0*v**2 - v + 1\/4*v**4 + 0*v**5. What is the third derivative of i(k) wrt k?\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(171)*2 + -5 + (sqrt(171) + -3 - sqrt(171)) + sqrt(171) + -1))**2.\nAnswer: -3402*sqrt(19) + 76140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*r**3*s + 375*r**3 + 50596*r*s + 704 wrt s?\nAnswer: 14*r**3 + 50596*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xynrxnxxqyrxyxc. What is prob of picking 1 y and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 32 - (0 + -4 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340 + 339.3. What is h rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, y: 2, i: 1, m: 4, o: 2}. Give prob of sequence oyyg.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-59 + -20) - 5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/13, 0.4, 0, 0.5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 2*m**2 - 3*m + 4. Let n be w(-3). Suppose -n = t - 28. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*x - 30, -5*x - 2*r - 2*r - 437 + 434 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1964, 1969, 1964, 1943, 1900, 1829, 1724?\n\"Answer: -j**3 + j**2 + 9*j + 1955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/8)\/(1\/(-2)). Let v be -10 + m + -2 + 4. What are the prime factors of v\/(-1) - 3 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20220*a**3 + 6*a**2*b + 6*a*b + 6*a + 2*b + 84 wrt a?\nAnswer: 121320*a + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-6))\/(-1))\/(-6*546\/(-252))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = 2*u + 4, -y = -u - 2. Let x(h) = 2*h + y*h - 4 - 3*h. Let m be x(-2). Let o(k) = 2*k + 2. Give o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -47*f - 294. Let v be (-574)\/28 + (-1)\/(-2). Let u be (-5)\/(v\/8)*-20. Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 3\/20*y**2 + 19 - 1\/30*y**3 - 1\/5*y. Determine d, given that x(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 36*c - 14*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 10:52 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 27. Let f = -3 - -8. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 534880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 891*t - 319205. Calculate o(-274).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 441532968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000010010 (base 2) in base 7?\nAnswer: -6011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1507*n**3 + 2*n**2 + 8*n - 53. What are the prime factors of f(3)?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 + -1676\/9. Let z = 277.1 + -308. Let t = -31 - z. What is the nearest to t in n, 1, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -73. Solve -3 + 14*d**5 - 16*d - 20*d**4 - 92*d**l - 13 + 116*d**2 + 14*d**5 = 0 for d.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -9. Let a(v) = -3*v + 32. Suppose 87 = x + 77. Let n be a(x). Solve 2*o + 3*u + n = -21, u = 3*o + g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 47 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -33?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 21281780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 175*i + 62331. Calculate k(-177).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 7604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*x**3 - 2*x**3 + 7*x**3.\nAnswer: 87*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/12783 - 217313\/25566. What is the biggest value in 5, 1\/2, -3, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116 - -226032?\nAnswer: 226148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 257 + 281 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/(-66))\/5)\/(648\/26730).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**6\/360 - l**5\/120 + 31*l**4\/24 + 2*l**3\/3 - 4. Let a(s) be the third derivative of v(s). Is a(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 583 divided by 372328\nAnswer: 53\/33848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + j + 2 = 35 + 46, -67*i + 196*i = -4*j - 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8467.800032 - -8468. Let h = 1.3 + -1.1. Let f = i - h. Round f to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8624)\/10780)\/((-36)\/50)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(560) + sqrt(560) + -2*sqrt(560))*-1)\/(sqrt(50)\/(sqrt(5)*-2) + sqrt(10)))\/((sqrt(56) - sqrt(616)\/(sqrt(44) + sqrt(11)))\/(sqrt(252)*1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 22\/69, 3, -37?\nAnswer: 22\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)\/(r\/(r*(r\/r**(5\/6))\/r)*r)*(r\/((r*((r**(2\/17)*r)\/r)\/r)\/r))\/r**28)**(-11\/4) assuming r is positive.\nAnswer: r**(42581\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202021 + -12?\nAnswer: -1202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 71*i - 66187 = 70*i, i + 44123 = 2*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 + 148 = 4*u. Suppose -s = -u - 91. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153953081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/13 + 0 + -4. Is ((-11)\/1 - -4)\/(n\/52) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224431354 (base 6) in base 8?\nAnswer: 17630026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 61.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 3*l**2 + 3*l - 1. Let n be y(-3). Let g = n - -6. Let s = -1 - g. Is 2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4708254 - 17109\nAnswer: -4725363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 676501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1091 - 1043.3. Let p = m + -48. Let h = 1 - 5. Which is the second biggest value? (a) 3 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.08 - 0.08. Let v be -1*8\/68 - (-6)\/1989*90. What is the closest to v in q, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-4*m - m + 3*m) - 9064 + 9064 + 191*m.\nAnswer: 195*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(931)*1*4)**2.\nAnswer: 2145024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49742194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 7. Let k(h) = h**2 - 463*h - 28. Let p(c) = -4*j(c) - k(c). Let s(i) = i. Determine p(s(d)).\nAnswer: 3*d**2 + 463*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 r when four letters picked without replacement from rurrrrnrnunrun.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101011 (base 2) in base 10?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (46\/6)\/(-8 - 25*(-3)\/9). Let i = -235 + 442. What is the highest common factor of i and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7*j - 142. Let u = j - -71. Is 1\/(-2) + 9381\/6 + u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14.04 and -2132.\nAnswer: -2117.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((-5 + sqrt(720)*2 + sqrt(720) + sqrt(720) - sqrt(720)) + (sqrt(720) + (sqrt(720) - (sqrt(720) + sqrt(720) + -3 + sqrt(720))))**2*-1).\nAnswer: -1471 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(72) + 5))**2 + (sqrt(72) + 1 + sqrt(72) + -4 - ((1*sqrt(72) - sqrt(72))*-2 + sqrt(72) + sqrt(72)))**2.\nAnswer: 2880*sqrt(2) + 10777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1125)\/10)\/(-9))\/((-17)\/(-1428)*35)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.773 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 2, i: 7, s: 1, f: 6}. Give prob of sequence sif.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1867*y**2 + y + 1. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p = 74*p - 33453. List the prime factors of p.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.01, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.029 - 15.529. Let p = -13.48 - k. Let g = -2 + p. What is the second biggest value in -0.3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0613 + 0.4387. What is the nearest to 0.3 in 5, f, 2.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*m - 100*m + r + 616 = 0, 2*m + 3*r - 260 = 0. Calculate the highest common divisor of m and 10323.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.9951584 to two decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300114142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:01 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s)*(-215 + 65*s + 215)*(0 + 3 - 9).\nAnswer: -780*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-78))\/(-9*26\/(-351))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 573887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22515 (base 6) to base 9\nAnswer: -4362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 12. Let s = -8.9982 - j. Round s to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14 - 49*k**2 + 360 - 374. Let n(x) = -28*x**2. Give n(f(v)).\nAnswer: -67228*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k**2 - k - 2. Determine u(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -480, -474, -468, -462, -456, -450?\n\"Answer: 6*o - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 20 = 34 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 - 3*v - 5. Let l = -7785 - -7789. Let s(o) = -o**2 + o + 1. Calculate l*s(y) + t(y).\nAnswer: -9*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3 - 11*b**2*m + 4379*b*m + 14*b - 4534273*m wrt b?\nAnswer: -3*b**2 - 22*b*m + 4379*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-9)\/54) - -5. Solve 5*s - 10 = 3*j + g*j, 0 = -4*j + 5*s - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5809237605 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((-2390)\/1 + -3). Suppose 2*w - 3*w - k = -4*t, -3*t + 4797 = -2*w. What is w rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wzwwzzzz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-3)*(3 - 15\/3). Let a(y) = y**3 + 11*y**2 - 13*y - 11. Let p be a(u). List the prime factors of 157*(p - 0*(-4)\/12).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c = 56*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-324)\/(-15))*(-16 - -11). Which is greater: -109 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = 3*k - 1281. Calculate the remainder when (-2)\/(2 - k\/129) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4145 and 80?\nAnswer: 66320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a - 5\/2*a**2 + 0 + 0*a**3 + 0*a**4 + 1\/60*a**5. Let o(m) be the first derivative of r(m). Factor o(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 4\/5 (c) -1 (d) 8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/6*w**3 + 5\/8*w**4 + 4 + 0*w - 3\/10*w**5 - 1\/4*w**2. Factor l(i).\nAnswer: -i*(i - 1)**2*(3*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 54. Let y = g + -45. Let v = y - 10. Which is the nearest to -0.2? (a) 2 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (8216\/(-78))\/(16\/(-84))?\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*g + 140*g - 12 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6522 and 24?\nAnswer: 26088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35*(-15)\/(-300))\/(1\/316). Let m = i - -576. What is the remainder when 49 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let q(r) = -r + 6*r + g - 6*r + 9722*r**2. Let k be q(-6). What is k rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (63\/(-7) - -6)*3\/(-3). Which is smaller: q or 37\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1952*z + 220 = -1962*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 11:09 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 6:34 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.3 - 8. Let j = 283.7036 + -284. Let i = j + d. Round i to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 2472, 6134, 11244, 17796, 25784, 35202?\nAnswer: 46044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 6*f + 1. Let c(u) = -3*u**2 - 25*u + 5. Let j = -4232 + 4230. What is j*c(h) + 9*r(h)?\nAnswer: -3*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*r - 4377, 2*a = a + 6*r + 1481. Is a a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -13. Suppose 3*z = 3*p + 2*z + d, -4*p - 23 = z. Do -7 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 149031*c - 2 + 3.\nAnswer: -149031*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9172 is divided by 278?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 - 199. Solve 2*s = s + r*b - 2, 3*b = 3*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3*(-2)\/15. Let m = -2.61 + 4.54. Let n = -0.07 - m. Which is the third biggest value? (a) n (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 - -140. Solve l = -o - 2 + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -41. Suppose 3*l = -l + s. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 12*k - 22. Let d be a(-6). Let r = d + 18. Calculate the remainder when 93 is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1487 + -547. Is k >= 939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n**2 + n + 2. Let h be j(0). Let u be (-1)\/h*(-192)\/(-3). Let i = 58 + u. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - u - 8. Let i = 3 + -1. Let q be s(i). Suppose -3*n = q*n - c - 223, 3*c = 6. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2 + 2. Solve r = -b - 2*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 8541184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*q + 1005 - 285 = -737*q + 1389*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 16*p - 15 = 0, -2*u - 13 = p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2952001*g**2 + 5*g. Let v be k(5). What is v rounded to the nearest 1000000?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162041?\nAnswer: 11, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.67311um in millimeters?\nAnswer: 0.01367311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -74.9. Let d = 2.6 + m. Let q = 0.3 - 0.8. Sort d, 1, q in decreasing order.\nAnswer: 1, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -984048 - 28145.\nAnswer: -1012193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**4 - 5*h**3 - 9*h. Let i(g) = 4*g**4 - 6*g**4 - 2*g**4 - 4*g - 2*g**3. Let j(a) = -5*i(a) + 2*w(a). Find the second derivative of j(t) wrt t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/3 + q - 2\/3.\nAnswer: (q + 1)*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 1, n: 1}. Give prob of sequence nbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 74, -48 in descending order.\nAnswer: 74, 3, 1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*h + 46, -4*h - 31 = -2*p + h. Suppose 6*z = 10*z - 4*l - p, -4*l = 2*z - 10. Let f(j) = 24 - j**z - 4*j**2 - 6*j - 52 + 26. Calculate f(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*o + 10, r + 5*o = 6*r - 30. Let x be 44\/8 + 1\/2. Suppose -3*s = 4*n - 20, 0*n - x = n - r*s. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.7 - -24. Let k = -4.9 + -1.1. Let b = 4 + k. What is the third biggest value in u, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -2*q, 2*q + 4 = 2*c - 2. Let p = 6 + c. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195916198.\nAnswer: 2, 597958099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (8 + 7)) + 8 - -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 + w**2)*(3*w + 3*w - 4*w) + 2*w**3 - w**3 + 0*w**3 + (0*w**2 + w**2 + w**2)*(0 - w + 0).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3 - 10460*k**2 + 2730848*k - 170213424 = 0. What is k?\nAnswer: -2859, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 16. Suppose 2*m + 18 = -4*n, -129 = -4*n + 5*m - 98. Which is the biggest value? (a) z (b) n (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146595861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 2\/3*n**3 + 0*n - 2\/5*n**5 + 0*n**2 + 0*n**4 - 2. Factor k(l).\nAnswer: -2*l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, l: 2}. Give prob of picking 1 z and 2 l.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.382 in -1, 6, 2, -1\/88?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 0.1. Sort 5\/2, 4, p, -3 in descending order.\nAnswer: 4, 5\/2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2973067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - k**2 + k - 1. Let h be (7 + -10)*(1 - 3). Let b = -5 + h. Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/4)*o)\/o)**32\/(o**(3\/2)\/o**(-1\/2)))**46 assuming o is positive.\nAnswer: o**(-460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-40)*(-3 - 2). Suppose -4*b - 2 = -14. Solve -b*t = -v*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 3*a**2 - 3*a - 2. Let p(x) = -4*x**3 - 7*x**2 - 7*x - 4. Give 3*p(i) - 7*w(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 231*y + 466. Let b be u(-2). Solve -12 = -b*n, -26 = 4*s - n - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2427814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.43597561 less than -4334?\nAnswer: -4170.56402439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3 (c) 0.3 (d) -0.00936 (e) 10 (f) -1\/11 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12186 + 12186 + 241*w.\nAnswer: 241*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 1592?\nAnswer: 1592.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-90)\/12 - 21\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(20)\/(sqrt(50)\/sqrt(5))) + 1 + (sqrt(153) + 2*sqrt(153) + sqrt(153))\/sqrt(9).\nAnswer: 1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 17 = 157. Let m(x) = -x**3 - 17*x**2 - 15*x + 1. Let t be m(-16). Let y = t + r. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -99, 7, 9702, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5))\/(-2 + 0). Are -2 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3511728 divided by 1170576\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52119 is divided by 1372?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 7*k + 3. Let q be a(6). What is the nearest to -1.9 in -1, -4, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97238936 + 49764936. Round t to the nearest one hundred thousand.\nAnswer: -47500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 250 - 248. Solve 5 = w + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -580*v - 1184*v - 33*v + v + 0*v + 0*v + (-2*v + 2 - 2)*(0 - 1 + 2) to the form w*v + d and give w.\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 0.4.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = x + 4*x. What is the remainder when 17 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747431, 1494861, 2242295, 2989733, 3737175, 4484621?\nAnswer: 5232071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 13) in base 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3544635.28989\nAnswer: 3544637.28989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.03 + 3.07. Let t = -3.89 + -0.11. Let k = t + f. Which is greater: -0.7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rir when three letters picked without replacement from {y: 5, i: 3, w: 1, r: 4, a: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -554303*d**3 + 216*d**2 + 379*d wrt d.\nAnswer: -3325818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 5 (b) 2 (c) -137\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 55*u + 1842. What is o(-47)?\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 1. Let r be i(1). Suppose g - 7 = -r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 65*j**2 + 93*j**2 - 1 + 30*j**3 + 1 in the form s + a*j**2 + p*j + k*j**3 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-34)*(-7)\/((-70)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + x = 6*x + 38, 0 = 3*p - x - 58. Suppose -2*r + 17 = m, 2*r + 0*m = -3*m + 27. What is the greatest common divisor of p and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, -28, -80, -60, 56, 292, 672, 1220?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2299))**2 - sqrt(2299) - sqrt(2299))*-5 - ((-2 + sqrt(1216))*4)**2.\nAnswer: -65500 + 622*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127047.5618 - 127062. Round r to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:31 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 1, t: 1, h: 1, e: 1}. What is prob of sequence hqe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 339366416*g + 7198097769292816.\nAnswer: 4*(g + 42420802)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 5, c: 4}. What is prob of sequence dpd?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10552 - -11.431.\nAnswer: -10540.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 3*b)*(3 + 2 - 4)*(0 + 0 - 2)*(4 - 2 + 4).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 + 4*d**2 - d - 3. Let t(z) = z**3 + z**2 - 1. Let m(s) = -q(s) + 4*t(s). Give m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*a - 140 - 293 = 73, 8*j + 72*a - 284 = 3*j for j.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-8) - (-4 - -3). Sort 0.1, 2, t in decreasing order.\nAnswer: 2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 46 - (-28 + 54).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - -283. Suppose -8*r = -r - t. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17937343347541080856 - 6536102299663679481088437975\/364385192. Let d = x - -2\/2397271. Let k = d + 336\/19. What is the common denominator of -28 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 315 = -2*u. Suppose -5*c + u = -x, -10 = -5*c - 2*x - 2*x. Find the second derivative of 23*q**3 - 193 + c*q - 191 + 384 wrt q.\nAnswer: 138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329 - 323 + 652 + d**2 + 13*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*i**2 + i**4 - 2*i**4 - 2*i**3 - 1 - 3 + 32*i**2 to y*i + t*i**2 + s + f*i**4 + k*i**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 617.95*27.1.\nAnswer: 16746.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13)\/(-4))\/(9\/(-180)). Suppose -5*a + 303 = 3*b + 980, -20 = -4*a. Let z = p - b. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) 4 (c) 704 (d) -0.01 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 100*c + 6. Let s(i) = i + 2. Let x(z) = -d(z) + 3*s(z). Let y(q) be the first derivative of q**3\/3 - 71. Determine x(y(p)).\nAnswer: -97*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -7. Let j be 12\/42 + x\/(-91). Let o = -6 - -2. What is the third biggest value in o, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*r + 283856 - 283852, -6 = -6*s + 3*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12339015 or -74034095\/6?\nAnswer: -12339015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19278856559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 20326 + 20326.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -467676 by -4.\nAnswer: 116919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799143696 to the nearest integer?\nAnswer: 28269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 29. Let c(x) = -4*x + 28. Let o(q) = -7*q + 49. Let a(f) = -9*c(f) + 5*o(f). Determine 9*a(s) - 2*j(s).\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:44 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 414, 410, 426, 468, 542, 654, 810?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -25*g - 233. Determine h(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 64. Suppose b = -10*c - c + 1111. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(-6)\/(h\/((h\/h**(-13))\/h)*h**17*h) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860*q**3 - 2326*q**2 + 745*q**3 + 1164*q**2 + 1160*q**2.\nAnswer: -115*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2690, -3, 2.\nAnswer: -2690, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*q**2 + 2 - 15*q**2 - 10*q**2)*(5*q + 0*q - 2*q) to s + z*q**3 + h*q + y*q**2 and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n - 18*n - 35*n in the form t + q*n and give q.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513741 - 1027257 + l**3 + 513516 + 2*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 12 - 7)*(2 - 1 + 2)*(u**3 - u**3 - 2*u**3) + (4*u - 4*u + u)*(6*u**2 - 3*u**2 + u**2).\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from oddodobb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, -3, -2\/27, -40, -0.079, 5, 2\/9?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -508802, -508804, -508816, -508844, -508894?\n\"Answer: -r**3 + r**2 + 2*r - 508804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970*t**3 + 1482*t**3 + 2349*t**3.\nAnswer: 2861*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 9*y - 4*y - 330, -277*o + 10*y = -276*o + 9*y - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 2, c: 4, s: 8, v: 4}. Give prob of picking 1 s and 1 i.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1620, 1614, 1620, 1644, 1692?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 + 7*w + 2 + 0 + 1. Determine x(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 140. Suppose i + 420 = 439. Let s be p(i). Solve s*f = 31*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/31)*a*a**(1\/9)*a assuming a is positive.\nAnswer: a**(571\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 188 = -13*h - 3*t, 12 = -3*t. Put -1, h, -11 in decreasing order.\nAnswer: h, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17*d - 24 = 0. Let g be 410\/14 + (-4)\/(-42)*-3. Let a = -27 + g. Sort a, d, -3, 3 in increasing order.\nAnswer: -3, d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 154654745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.2. Let q = 209 + -1467\/7. What is the nearest to 1\/4 in 2, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 4*w)*(-49*w + 23*w - 7*w) + w**2 - w**2 + w**2.\nAnswer: -131*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/(-30) - 4\/10. Let y(s) = 10*s**2 - 3. Is y(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30574 at most as big as 6.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*j**4 - 4872*j**3 + 365913*j**2 + 766250*j - 1127307.\nAnswer: (j - 1)*(j + 3)*(4*j - 613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 5*u + u**3 - u - u**2 - 4 + u**2. Let i be t(-6). What is the smallest value in 3, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 2 - (-1 - -25). Let f = u - -40. Suppose -5*s - 5*p = -55, -5*p = -2*s - p + 16. Solve -5*r + f = -s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p**4 - 6689826365*p**3 - 2675930550*p**2 = 0 for p.\nAnswer: -2\/5, 0, 267593055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/((-4)\/(-6)))\/((-24)\/2768)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26581 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from ghzzkggkhzgkgzhk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (51042\/(-8))\/(-3) + (-78)\/(-312) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(9\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 641 + -282. Let k = 17 + -12. Suppose -j - 229 = -3*x, k*x = -j + q + 12. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847893.\nAnswer: 3, 137, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (644 + -128)\/((8\/6)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 24.9, -2\/9, -7, 4, -0.5 in increasing order.\nAnswer: -7, -0.5, -2\/9, -2\/13, 4, 24.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + 21. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Let w = -0.0087 - -0.2087. Is d less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 69 = -37. Which is smaller: -1\/708 or k?\nAnswer: -1\/708","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(3 + sqrt(243)) - sqrt(243) - sqrt(243))*-6)**2.\nAnswer: 28836*sqrt(3) + 86653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-12) + -25*(-11216)\/3376320. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a - 1\/8*a**4 + 0 + 0*a**3 - 16*a**2. Let n(z) = 6*z - 3*z - 2*z. Determine w(n(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**10*f**(-1\/4)*f**(-10)\/f*((f\/(f**(1\/3)\/f))\/f)\/f*f assuming f is positive.\nAnswer: f**(-235\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399630*q - q**2 + 799340*q - 399710*q - 4*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 4. Let i be l(0). Suppose 2 = -i*a + 6. What is the third smallest value in -1, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 63010*m - 944925.\nAnswer: -(m - 62995)*(m - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*d + 24*d**2 - 80*d)*(-3 + 0 + 1).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 - 64. Let k = -106 - r. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 + 3*t + 1. Let d be r(3). Suppose 2*n = -d + 11. Suppose 0 = 2*m - n*m + 93. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.42 minus 31692756?\nAnswer: -31693056.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i - 2 + 1 + 78*i + 1.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22281, 22279, 22273, 22263, 22249, 22231?\n\"Answer: -2*d**2 + 4*d + 22279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1278954*x + 13 = -1278930*x, -5*x + 45 = 5*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/7 + 690*y**2\/7 + 59166*y\/7 - 59858\/7 = 0 for y.\nAnswer: -173, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 48 = 12*v, 3*n + 4*v + 17 + 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = -y, 2*x - 11 = 2*y + 7. Let a be 8\/20 - x\/(-10). List the prime factors of -11*2\/(a - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let p(s) = 15*s**2 - 2*s - 1. Let g(o) = -13*o**2 + 2*o + 1. Let h(d) = 6*g(d) + 5*p(d). Determine h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:28 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 101100013310 (base 4) to base 14\nAnswer: 85a1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 193. Let u = p - 37. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -26, 16, 1 in increasing order.\nAnswer: -26, -1, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20\/10 + 64\/(-52)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1.3 (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*h + 28 = 0, 4*b - h + 2*h = -18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/105*1\/(-2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-15)\/(-6) - 1) + -8 + 9. Let f(b) = b - 3*b + 2*b**2 + 2 + 6*b. Let z be f(y). Solve -j + 1 = -z*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 24384331.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 4, w: 2, m: 1, o: 1}. What is prob of sequence dw?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - -38 - -31 - -28?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -283*a - 7812. Does 139 divide j(-69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 2*x)*(8*x**4 - 3*x**4 + 0*x**4) - 2*x**5 - 2*x**5 + 2*x**5.\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1172, -249, 738, 1789, 2904, 4083?\nAnswer: 5326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 433491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 - 9)\/(1 - 0) - -24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11420860, -22841718, -34262576?\n\"Answer: -11420858*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71285 and 5300.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -4*f + z, -5*f = -2*z - z - 420. Let q be 8*(-9)\/(f\/2520). What is q rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Let c(r) = -r**2 - 7*r - 4. Let w be c(-6). Suppose o - w = a. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + 0 - (-2 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -148445953.7 + 20726?\nAnswer: -148425227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305 - -4325415?\nAnswer: 4325110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 377220, 377268, 377316, 377364?\n\"Answer: 48*h + 377172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/6 - i**2 - 5*i. Give m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 + 6*f**2 - 5*f. Let v(n) = -3*n**3 - 3*n**2 + 2*n. Let u(r) = -2*h(r) - 5*v(r). Find the third derivative of u(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)*c*c*c**(2\/5)*(c**(7\/4)\/c)\/(c*c*c**3*c) assuming c is positive.\nAnswer: c**(-157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540532034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33847 divided by 3?\nAnswer: -33847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 2*l + 52. Suppose 3*z = -z + 2*a - 6, -3*a = -3*z - 9. Let v be z\/((0 - 5) + 1). Is n(v) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*z = -1608*z - 5435*z + 640914 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5198, 5383, 5576, 5783, 6010, 6263?\n\"Answer: z**3 - 2*z**2 + 184*z + 5015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/640824 and -107\/2990512.\nAnswer: 8971536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 1, -2, -16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*u + 15, 2*u - 3 - 3 = 3*m. Let j be 5\/(-5)*-242 - -4. Factor -240*b + 3 + j*b - 3 - u*b**2.\nAnswer: -3*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9 - 26)*((1 + 0 - 3)*(-2*q - q + 5*q) + q + 3*q - 3*q) to s + o*q and give o.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -57. Let q = s - 157\/2. Which is the nearest to 1? (a) q (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 93 = 3*u + 69, 0 = -4*u - 20. Suppose 0 = -7*m + 1232 - r. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 839 + -595. Suppose 4*b = w - o, -41 = -4*w - b + 1020. Let g = w + -49. What are the prime factors of g?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.1053ug to tonnes.\nAnswer: 0.0000000007071053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 180. Let w be (-1 + 2 + -5)*(10 - 11). Suppose -l + c = -3*r + 41, -w*r + 158 = 2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 477*k = -466*k - 74, 5*p = -3*k - 80 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.9 + 2.1. Which is the smallest value? (a) q (b) -3\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 2. Suppose -4*f - 4*v + 56 = 0, 2*v - n + 3 = f. Let g be (f\/15)\/(4\/(-6)). Which is the smallest value? (a) -1\/5 (b) 2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 7*q - 6. Suppose -49*y - 149 = -125 + 172. Sort 4, 5, y, q.\nAnswer: y, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idwh when four letters picked without replacement from wdiqhqiiqhdhn.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -18. What is the third smallest value in -5, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1421, -2884, -4347, -5810, -7273?\nAnswer: -8736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -138*t + 127. Let d be p(10). What is the units digit of 2*3*d\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/9)*u\/u**18*u*u*u*u*(u**(-13)\/u)\/u*u\/(u\/(u\/u**(3\/5)))*u assuming u is positive.\nAnswer: u**(-1207\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 247275871 a multiple of 961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*t - 4*t. Let i(h) = 10 - 2*h**2 + 11 + 14*h - 23 - 10*h + 4. Determine i(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 * 0.7\nAnswer: -249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-5) + 4\/20. Suppose 4*u - 77 - a = h, 5*u - 113 = 2*h. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 266?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(12\/11)\/(i**(-2\/9))**(-8\/3))\/(((i**(2\/3)\/i)\/i)**13*(i**(2\/3))**(-16)) assuming i is positive.\nAnswer: i**(740\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5226, -10451, -15676?\n\"Answer: -5225*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + 4*4*3*sqrt(931)))**2.\nAnswer: 43008*sqrt(19) + 34320640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**11*y**(3\/7) assuming y is positive.\nAnswer: y**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28808291 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*d + 1\/3 - 2\/3*d**3 - 2*d**2 + 5\/3*d**4 + d**5.\nAnswer: (d - 1)*(d + 1)**3*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161418.\nAnswer: 2, 3, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 - x**5\/30 + x**4\/12 + 5*x**3\/6 + 2*x**2 - 342*x. Let n(h) = h + 4. Let l be n(0). What is the units digit of v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c**2 - 28 - 143*c**2 + 69*c**2 to b*c**2 + o + t*c and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 4. Let p = -9748 - -9755. Let v(b) = 6*b - 3. What is p*g(s) - 6*v(s)?\nAnswer: -s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m\/(m*m**(-3\/5)*m*m))\/m*m))\/m)\/(m**(3\/10)*m))**46 assuming m is positive.\nAnswer: m**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*n = 8, -7*x - 53 = -n - 42 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/((-4)\/(-3) + 2\/(-6)). Calculate the highest common factor of 110 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123476072.\nAnswer: 2, 109, 141601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 44. Let z(r) = -3*r + 28. Let n(x) = 5*b(x) + 8*z(x). Determine n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6 - 565*g**3 + 2*g**2 + 557*g**3 - 71*g + 6. Let r(z) = z**3 - z. Let i(n) = l(n) - 6*r(n). Find the second derivative of i(o) wrt o.\nAnswer: -84*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*y + 347*y + 215*y + 5302 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1296 divide 214742016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10957 (base 12) in base 6?\nAnswer: -250151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 538584 divided by -44882\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*5*((-5*(2*sqrt(192) - sqrt(192)))**2 + 5*sqrt(192)*-5)*2.\nAnswer: -4000*sqrt(3) + 96002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 + 3*y. Let m(k) = 3929*k. Give m(r(a)).\nAnswer: -15716*a**2 + 11787*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) - (1 + (-123)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from efeff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n**5 + 15*n**4 + 176*n**3 + 123*n**2 - 142*n - 120 = 0. Calculate n.\nAnswer: -2, -1, 15\/16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 u, and 1 e when four letters picked without replacement from {k: 5, u: 4, e: 6}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 7*c - 5 + 3*c + 4. Let o(x) = -x - 1. Let t be o(-3). What is f(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/5 + 5338*r**4\/5 - 5193828*r**3\/5 + 1496328876*r**2\/5 - 145489870494*r\/5 + 1191957355386\/5 = 0.\nAnswer: -3479, 9, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 3, 22, 69, 156, 295, 498?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 737801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 4. Let k(h) = -h**2 - 1. Let v(i) = -4*k(i) - n(i). Let b(q) be the second derivative of -q**3\/2 - 10*q. Determine b(v(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398530320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 plus -1.32?\nAnswer: -59.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -41*g + 446. Calculate l(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 8. Let a be u(-5). Suppose -a*q + 34 = -4*k, k = 2*q + 2*k - 41. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3 + -1)\/2. Suppose -j = -u*j + 3*j. Let t(m) = m + 11. Calculate t(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3 + 4*a. What is the tens digit of d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42170, -42175, -42180, -42185?\n\"Answer: -5*q - 42165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022 - 122200?\nAnswer: -21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*q - 20, 0*g - 4*g - 5*q = -28. Suppose 0*x + 4*x - 60 = -4*c, -g*x + 26 = 4*c. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -1, -2*s = -f - 0*f + 25. Let i = 30 + -3. Let t = f - i. Sort -5, 3, t in ascending order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -6 - (-2 + -3)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-65) - 46\/(-5))\/1. Suppose -5*q + 5*o = -40, 2*q - 3*o - v - 10 = 0. Which is the biggest value? (a) -0.2 (b) 2\/7 (c) q (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 55*w**4 - 9*w**3 + w**2 + 740. Let g(h) = -56*h**4 + 12*h**3 - h**2 - 739. Let l(p) = 3*g(p) + 4*k(p). Differentiate l(s) with respect to s.\nAnswer: 208*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1.3170247358.\nAnswer: -9.3170247358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*x - 14 = -x, 5*m = -x + 70. Suppose d + 5*d - 330 = 0. Let q = -43 + d. What is the smallest common multiple of m and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1976 + 1992. Let q(c) = c + 12. Calculate the remainder when h is divided by q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -2363, 0, -96 in increasing order.\nAnswer: -2363, -96, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + f = 4*f + f. Let o(x) be the second derivative of -37\/2*x**2 + 0*x**3 + 29\/12*x**4 + 47*x + f. What is the derivative of o(v) wrt v?\nAnswer: 58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756075 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 133*l + 1582. Determine q(-10).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65913 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33213 + -12323?\nAnswer: 20230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 85?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2052 - 1?\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from gffukg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*9\/6*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4413*f + 4416*f = 67*o - 1014, -5*o = -3*f - 84 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*u - 4*u + 0*u)*(-5*u + 3*u + 4*u) to the form o + b*u**2 + r*u and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 5*f + 7. Let r be g(-9). Suppose 0 = -4*a + r + 53. What is n in 2*n**3 + a - 2*n - 4*n - 28 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let b = 1879\/7 + -268. What is the closest to -1 in m, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6050 + -5873. Which is bigger: 181 or l?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 1420*p**2 + 929*p**2 - 33 as h*p + a*p**2 + y and give a.\nAnswer: 2349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -406157?\nAnswer: -406202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 12*n**2 + 5*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1956665*z**2 + 3913340*z + 20.\nAnswer: 5*(z + 2)*(391333*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199889035 to the power of 1\/2, to the nearest integer?\nAnswer: 46903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 2727992824.\nAnswer: 2727992824.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.233*2489.\nAnswer: 5557.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347*h**2 + 691*h**2 - 4 + 118*h - 1257*h**2 wrt h.\nAnswer: -1826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 0 - 1 - 3 to the form v*s + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 317925 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 4*t)*(2 + 2 + 4 + t)*(0*t - 4*t + 5*t)*(2 - 5 + 6)*(0*t + 3*t + t).\nAnswer: 12*t**4 + 96*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10276, 10275, 10274, 10273, 10272, 10271?\nAnswer: 10270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.43 and -1538055.\nAnswer: -2199418.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 15020.466?\nAnswer: -3004.0932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3 + u**2 + 11*u. Let p be x(-2). Let a(w) = w**3 + 12*w**2 + 14*w - 5. Is a(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*d + d + 76 = 4*d, 2*d = -27*f - 2*d - 656 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8523545 by -1704709.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-2) + -4)\/(1*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2378*o**2 - 93*o - 92. Let k be j(-1). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 5, g: 1, z: 5, r: 3}. What is prob of sequence rbrz?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*s + 118122, 4*s + 42523 = -5*h + 278833. Does 358 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/5 + 4366*r**4\/5 + 2423878*r**3\/5 + 44916146*r**2\/5 + 46430784*r + 189657288\/5 = 0.\nAnswer: -1082, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/(z\/z**4*z))\/(z\/z**8)**22 assuming z is positive.\nAnswer: z**(466\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 4*n, -3*l = -0*n - n - 11. Let h(z) = 2*z - 6. Suppose 0 = -2*r - r + 12, 2*p - 4*r = 4. Calculate the remainder when p is divided by h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 32 = -58. Let z = s + 49. Suppose -26*a = -z*a - 66000000. Round a to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37690857 and 78003?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q**2 - 2*q + 2. Let w(p) = 56*p**2 + 5*p - 2. Let j(x) = 48*x**2 + 5*x - 3. Let s(y) = -3*j(y) + 2*w(y). Calculate 5*d(v) - 2*s(v).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 12?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 7. Suppose -7*m = -3*m. Which is the closest to 0? (a) m (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.7 - 15.1. Which is the nearest to u? (a) -1\/7 (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34434210 (base 5) in base 7?\nAnswer: 2436024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/7 + 216082220*f**3\/7 + 5836440941098266*f**2\/7 + 1667554461992840*f + 833777215561976 = 0.\nAnswer: -54020554, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 101846730.\nAnswer: 1\/50923365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - 3*(sqrt(91) - (sqrt(91) + (1*sqrt(91) - sqrt(91)))))\/sqrt(7))**2 + ((sqrt(468)*2)**2 - 2*sqrt(208)).\nAnswer: -8*sqrt(13) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155868660 divided by -6?\nAnswer: -25978110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 48 = 5*s, 5*s = z - 33 - 9. Let l be ((-2)\/s)\/((-2)\/8). What is l rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36e777 (base 15) to base 4.\nAnswer: 22002102130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -330548 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 16*b**3 + 40*b**3 - 3*b**3 - 111*b**2 - 19*b**3.\nAnswer: 2*b**3 - 111*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -64*v**2 + 20*v - 16. Let m(p) = -13*p**2 + 4*p - 3. Let n(h) = 16*m(h) - 3*q(h). Find the second derivative of n(j) wrt j.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzjjjjjjj. Give prob of sequence zz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1745811900 to the nearest 1000000.\nAnswer: 1746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -56*t - 288 + 220. Suppose 0 = -d + 6*d - 15. Suppose 3*b - 12 = 0, 4*b = 2*j + d*b - 6. Solve 0 = -j*r - h - 1 - 4, t*h - 5 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -3 (c) 0.08855 (d) 1\/8 (e) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2359 + 2384. What is the remainder when n is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 147, 216, 323, 474, 675?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12e08 (base 15) in base 3?\nAnswer: -10002000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 2. Let f be j(4). Let i(d) = d - 4. Let k be i(f). Find the second derivative of 7*w - 3*w - 3*w + 2*w**k wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452289541.\nAnswer: 3, 13, 181, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k - 75. Let v be p(9). Let t = v - 2. Solve -t*b = -24*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 267 = -0. Suppose 4*w - g = -w + 2*y, -w + 3*y + 10 = 0. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 339 + 177 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/4 of a milligram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - 7*c**2 + 3*c + 2. What is k(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r. Let u(v) = v + 1. Let b(j) = -5*j - 6. Let t(i) = b(i) + 6*u(i). Calculate m(t(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-4 - (-2 + 10)). Solve 5*r + 5*b - 15 = 0, -3*r + 0*b + 3*b - t = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6166.\nAnswer: 2, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 5*y**2 - 9*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 3*i**2 + 3*i**2)*(-4*i + 0*i + 3*i) + 0*i**3 - 3*i**3 - 4*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 45*y**3 + 5*y**5 + 8*y**5 - 19*y**2 - 41*y**4 + 889*y - 887*y = 0.\nAnswer: 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1. Let a(v) = -v - 11. Let z(q) = -a(q) + 3*s(q). Calculate z(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 261, 884, 2099, 4104, 7097?\n\"Answer: 33*c**3 - c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {b: 2, y: 9, i: 2, c: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 50. Suppose 0 = -2*x - 4*a + 3*a + 14, -v = -5*x + a. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226 - 38. Let o = a + -99. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 21*p**2 + 35*p - 48. Calculate f(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s**2 - 21*s - 188. Let d be q(-7). Suppose -5*u - 115 = 2*p, 2*u - 84 - 41 = 3*p. Let a = d - p. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -22 + (12 - -31)*-1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -7468?\nAnswer: 746a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 1 + (2 - 5) - 84.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 852, 2639, 5958, 11283, 19088, 29847, 44034?\nAnswer: 62123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27045 divided by -6\nAnswer: -9015\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - b**3\/2 - 7*b**2\/2 + b. Let m be 1 + -2 + 1 + -5. List the prime factors of f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, 2, -0.5, 7, -14\/5, 3 in ascending order.\nAnswer: -14\/5, -1, -0.5, 0.5, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q**2 - 5*q. Let c(f) = 7*f**2 + 3*f. Let d(w) = -3*b(w) - 5*c(w). Let x(j) = -2*j**2. Determine d(x(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.35. Let c be (80\/600)\/(1 - (-38)\/5). Let i = c - 268\/645. Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 1 + 2 + 2)*(0*x**4 + 0*x**4 - 3*x**4).\nAnswer: -6*x**5 - 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -43. Let h = 46.00000041 - q. What is h rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:55 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n + 1. Let l = 21651 - 21650. What is y(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/94 and (-204)\/30*(3 - 4).\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183722593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 - g**4 + 0*g**2 + 7 - g**2 + 2*g to s*g + u*g**4 + o + z*g**2 + v*g**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*w + 1406, -4*w = 8*d - 5*d - 4218. Is 37 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 403152039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 6. Let k be m(-4). Let p be 2 + -5 + (6\/2 - k). What is the hundreds digit of 127 - (1 + p + -3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680198.\nAnswer: 2, 181, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 64*i - 341. Let g be z(-6). Let b(m) = -3*m - m + 5 + 3. Determine b(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**2 + 53*a + 330. Calculate c(-8).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/453600 and 187\/5880.\nAnswer: 3175200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -12 + (15 - 11) + 0 + 9 - 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29\/78 - 1\/26. Let z = 28320 - 28319.9. Which is the third biggest value? (a) z (b) 16 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, o: 4, x: 4, a: 8}. Give prob of sequence xxgg.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 x, and 1 j when four letters picked without replacement from {j: 1, v: 1, e: 2, x: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 23*k + 38. What is the remainder when 946 is divided by n(0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**6\/u*u)\/u**(2\/9))\/(u**1*u)**(-20\/11))\/((u*u**(1\/2))\/u**(-2\/9)*u**(-1\/2)*u*u\/u**(2\/5)*u) assuming u is positive.\nAnswer: u**(3263\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 + 131 - (10 + (-11 - -10)))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -8. Suppose 5*y = 8 + l. Let c be y\/(-4) - (-6)\/4. Put c, 2, -1 in increasing order.\nAnswer: -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23274266 a multiple of 721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 7*j**2 + 1 + (-2*j + 4 - 4)*(0 + 0 - 2*j) - j + j**2 + 23*j**2 - 13*j**2.\nAnswer: 22*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*n**3 - 155*n**3 + 2*n**2 - 144*n**3 + 530*n**3 - 2*n**2.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 22 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 2256?\nAnswer: -2257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4943320 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*-3*sqrt(208)*-1)**2*-5.\nAnswer: -234020 - 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090*n = -1112*n + 110. Solve 280*p - 2 = 281*p, -n*p + 15 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 4. Let y be c(3). Suppose -8 = -y*g + 7. Which is bigger: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456253 is divided by 4109?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7438 is divided by 1826?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-13 - o + 26 - 33) in the form r*o + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9412\/8)\/(30\/4). Let v = x + -157. Which is the second biggest value? (a) v (b) 3\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/30)\/((-3)\/(-9))*-2. Which is the closest to -1? (a) g (b) 0.2 (c) 1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/4))**(-3\/29))**(-12)*((d\/(d*d\/((d\/d**3*d)\/d))*d*d*d*d)**(-33))**(2\/25) assuming d is positive.\nAnswer: d**(-1239\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:42 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 6. Let r(x) = 5*x**2 + x - 3. Let k(c) be the third derivative of c**5\/60 - c**3\/6 - 266*c**2. Determine w*r(t) - 6*k(t).\nAnswer: -t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 70348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -54, -141, -292, -525, -858, -1309?\nAnswer: -1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 23*o**2 + 68*o + 754. Determine m(-9).\nAnswer: -3179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10479123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Suppose -2 = -2*y + 4. Let x(k) be the third derivative of -1\/12*k**4 + 0 + 0*k + 0*k**y - 2*k**2. Give x(b(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 3*h - 3. Let f be b(-3). Let l be (1\/(-3))\/((-1)\/(-6)). Sort f, l, 4.\nAnswer: f, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45100 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.958*-0.60925\nAnswer: 2.4114115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*z + 24, 0 = 5*z + 11 + 4. Let n = -23\/2 + w. What is the closest to 1 in 1\/3, -0.02, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*q + 47. Let u(c) = -4*c - 17. Let a be u(-8). What is the common denominator of ((-129)\/(-44))\/(a\/q) and 111\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:56 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 884, 1, 0.0822, 2\/5, 4?\nAnswer: 0.0822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 13, 14, 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 18*h - 25*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/3795 + -28\/759. Find the common denominator of s and 248\/(-198) - 12\/(-6).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20837 + -12294. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0 - 1 + 2. Let v(a) = 2*a + 5. Let o(f) = -62*f - 4. Let s be o(1). Let l = 69 + s. Calculate l*p(j) - v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 3*u - 1, -2*u = -2*v + 18. Does 10 divide (-3)\/(-1*1\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a0355 + 19?\nAnswer: -1a0338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, o: 3, t: 5, n: 5, c: 3}. What is prob of picking 2 g, 1 c, and 1 n?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(5))\/sqrt(6))**2 + sqrt(14)\/sqrt(7) + 5.\nAnswer: sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5\/2 - 90*q**4 - 1100*q**3 - 6000*q**2 - 14760*q - 12960 = 0. Calculate q.\nAnswer: -18, -6, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -902*a**2. Let t(z) = 89*z. Give y(t(s)).\nAnswer: -7144742*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 4 + 28 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/5, -8.9784, 2\/11, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6 - 16 + 2*h + 10. Let m(z) be the first derivative of -z**3 + 2. Determine i(m(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16c9705 + -3?\nAnswer: -16c9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458059 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.10208 nanometers in centimeters?\nAnswer: 0.000002410208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let q be j(-6). Suppose q*h - 10*h + 116 = 0. Let d = h - 12. Calculate the remainder when d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.495915 to 3 decimal places.\nAnswer: -0.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 338 = -2938. Suppose -5*l - 4*k + 9*k - y = 0, 3*l - k = -318. Let p = 182 + l. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 12) to base 9.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/15 + 784*b**2\/15 + 3208*b\/5 + 9696\/5.\nAnswer: -2*(b - 404)*(b + 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310721884.\nAnswer: 2, 11, 7061861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1452 + 5?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -214*q**2. Let x(p) = p**2. Give i(x(g)).\nAnswer: -214*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -37*o**5\/5 + 71*o**4\/12 + 190*o. Find the third derivative of b(l) wrt l.\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 + 8*l**4 + 16*l**3 - 32*l**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2, u: 1, b: 1}. Give prob of picking 1 u and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*r + 54*r + 3650 - 3650 to l + n*r and give n.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 98*i + 42. Give z(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.026, 3, 0, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0 + 61*b - 2\/5*b**5 - 75\/2*b**2 - 5\/6*b**3 + 0*b**4. What is the first derivative of k(w) wrt w?\nAnswer: -24*w**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 88. Let x = 72 - s. Let k = -12 + x. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2355 + 2355.02702. Let a = j + -0.0265594. Round a to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-100)\/(-15)*(-39)\/(-1144))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8023 - -10083. List the prime factors of b.\nAnswer: 2, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 10*r - 13*r + 138, 5*t - 154 = r. Suppose q = 13 + 2. Calculate the greatest common divisor of q and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -0*x. Let q = 4 + x. Let a(b) = 24*b**3 + 2*b**2 - b. Let m be a(1). Solve q*r + 3*r + 20 = -4*d, -5*d - r = m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33069 and 36.\nAnswer: 396828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1970 and -19\/43?\nAnswer: 84710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 25*v - 80. Let h be d(-28). Suppose -6255 = -h*z - z - 2*b, -b = -3*z + 3742. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -490.6192263 - -1.9.\nAnswer: -488.7192263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*p - 421*b**3*p - 12*b**3 - 4*b**2*p + 36*b*p + 7*b wrt b.\nAnswer: -24*b*p - 2526*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c. Suppose 4*m - 4 - 44 = c. Find the common denominator of m and -6 - 26\/(-48)*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.243803 - 0.156197. Let g be 3\/(-8)*(-6)\/9. Which is the closest to z? (a) g (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 11*j. Let i(k) = k**2 + 15*k. Let l(f) = f**2 - 24*f - 3. Let o be l(24). Let x(p) = o*i(p) - 4*h(p). Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let b(a) = a**2 + 4*a - 2. Let r be 0\/1 + 2 - (-6 + 10). Give r*u(t) + b(t).\nAnswer: t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 207, -50, -3 in descending order.\nAnswer: 207, 1\/4, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1243 and 13818838?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 30. Let p(y) = -2*y - 3. Let x be p(2). Let l(k) = -k - 15. Let s be l(x). What is the lowest common multiple of n(s) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v + 84 = 25*v. Let w = v + 47. Solve 10 = -5*z, 0 = -w*x + 2*z + 6 + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 84 = -2*w, 170 = 4*w - 5*m - 0*m. Let g = -21 + 9. Let c = g + w. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 9. Let p be u(-5). Let m(n) = n + 2. Let y(a) = -8*a - 10. Let w(s) = 7*s + 9. Let j(k) = -5*w(k) - 4*y(k). Give p*m(x) + 4*j(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/11150 and 139\/15610.\nAnswer: 78050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*o + 4476 = 3539 - 12935. Calculate the lowest common multiple of 52 and o.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7262 greater than -7261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -22*o**2 + 4*o. Let j(b) = 2*b**2 + b. Let f(r) = g(r) - 4*j(r). Let q(k) = k**2. Give 4*f(c) + 108*q(c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61241 and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 + 11*n - 11. Let x(p) = 5*p**2 + 10*p - 10. Let v(t) = 4*f(t) - 5*x(t). Let k be v(-5). Is k - (0 + 2)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkw when three letters picked without replacement from waakkznz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -855*1.41\nAnswer: -1205.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*14\/(-35)*(-60)\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**2 - 3 + 11*y**2 + 1. What is the remainder when 67 is divided by r(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00216756 to five dps.\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let r be 2 - b\/2 - -1. Let m be ((-35)\/15)\/(50\/((-15600)\/182)). Solve -r*p = 5*w + 8, -3*p + m*p = -5*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o + 24. Let l(y) = 2*y + 6. Let s(q) = -9*l(q) + 2*v(q). Give s(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/33*(-9)\/3\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 3*v + 4. Let y(d) = d**3 - d - 1. Let i be 1\/(0 - (-3 + 2)). Let m(f) = i*h(f) - 3*y(f). Calculate m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/9)\/y)\/y)\/(((y*y*y**(1\/4))\/y)\/y))\/(y*y\/(y\/(y\/(y*y**(2\/3)))))**(-26))\/((y*y\/(y*y**0\/y*y))**(-2)\/(y**(2\/7)*y**(-5))) assuming y is positive.\nAnswer: y**(989\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/263, 1 in increasing order.\nAnswer: -3, -3\/263, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26342 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1785 - 1784. Which is the nearest to -0.1? (a) -2\/7 (b) -8.9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61dd03 (base 14) to base 9.\nAnswer: -6184587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40416, -60898, -81380, -101862, -122344?\nAnswer: -142826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a3ab9 - -3?\nAnswer: a3abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 + 757. Let v be 1\/(-2) + (w\/(-12))\/(-7). Solve 0 = -a - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1 = -2*s, -21 + 27 = -2*d - 3*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uumj when four letters picked without replacement from jjujjujummummj.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 43*d**4\/12 - 31*d**3\/6 - 2911*d**2\/2 - 1111*d. What is the first derivative of w(o) wrt o?\nAnswer: 86*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 4*1*sqrt(343) + 2 + sqrt(343) + 0 + sqrt(343) + -5 + 1*-2*sqrt(343)*4)**2.\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhe when three letters picked without replacement from exrhhdg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k - 4. Let g = -8 + 16. Suppose p + 2 = g. Calculate h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 20.653269 months?\nAnswer: 0.0172110575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.81375507 + 1.\nAnswer: 0.18624493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 214, 213, 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1973433, 3946855, 5920277, 7893699, 9867121?\n\"Answer: 1973422*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-15)\/(-116))*(-21)\/(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 3, l: 1, m: 7, h: 2, k: 1}. What is prob of sequence dh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.08. Let d be (-4)\/(-84) + 6\/21. Let t = -0.6 - -0.2. Which is the closest to n? (a) -2\/7 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 35. Let x be j(5). Suppose -4*q + 26 + 22 = x. Solve 0 = 4*m - 4*h - 12, -4*m - 6*h + h = -q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.0487 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -0*f - 3*f. What is the highest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 7116\nAnswer: -3558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r = 3*k - 11, -r = -5*k + 11. Let s be 2\/6 - k\/6. Let a(x) = x - 12. What is a(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327202 is divided by 1341?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*l**4*r + 390*l*r + 222851*r with respect to l.\nAnswer: 120*l**3*r + 390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-8)\/36) + 315244\/36. Suppose -8*y - y + g = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5440 or 5439?\nAnswer: 5440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**41*t*t)\/t**(-2\/5))\/(t**(7\/10)\/(t**(7\/5)\/t)))**26 assuming t is positive.\nAnswer: t**(5603\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150 by -575.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:43 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - -553?\nAnswer: 553.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-98)\/(-35))*35. Solve x*q - 20 = -4*n + 4*q, -4*n - 2*q = -24 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 + -5 - 3) + 8)\/((792\/(-186))\/33).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 815, 1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o + 11*o - 4*o - 5*o + 13*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g = 0. Let t be (1 - g) + (3 - (-3)\/3). Suppose 633 = t*l - 7. What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 - q**5 + 3*q**4 + (25 - 14*q - 25)*(-32*q**4 - 85*q**2 + 85*q**2).\nAnswer: 447*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4)*z**(-1\/5))\/(z**1)**(-16)*z**1\/((z**(-3)*z)\/z)*(((z*z**(1\/3)*z)\/z)\/z)**(-36) assuming z is positive.\nAnswer: z**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*s + 232 - 392 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 17, 2\/11, -4, 1\/22, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 198 - 13*n**3 + 140*n - 140*n.\nAnswer: -13*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -704384484 - 0.126.\nAnswer: -704384484.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868*x - 440 = 824*x. Let z(u) = -2*u**2 + 12*u + 7. What is z(x)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.5 - -31. Let j = u - -45.5. Let v = 43.9 - j. What is the second biggest value in v, -4, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - -13)*26\/(-4). Let w(u) be the second derivative of -u**4\/12 - 13*u**3\/6 + 3*u**2\/2 - 5*u. Let v be w(x). Solve -6 + 0 = v*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576 (base 9) in base 15?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15842.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16512689 is divided by 24001.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.8. Let j be (72\/15 - 5)\/(-1)*2. What is the nearest to w in -0.4, j, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 - q**4 + 6*q**4 + (-4*q**3 - 2*q**3 + 4*q**3)*(-2*q - 1 + 1) + q**4 + 2*q**3 - 2*q**3 as l*q**3 + j*q**2 + r*q + d*q**4 + m and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 45.1. What is the closest to u in -0.1, -1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35969 divided by -26\nAnswer: 35969\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 - 7*z - 9. Let p = 160 + -148. Suppose -p*i - 90 = 3*i. Determine c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-44)*(-96)\/40*4.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + -7. Let x = -68 - t. Solve 0 = 4*r + 3*w - 7, 4*r - 5*r + x*w = 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8420+-292578\nAnswer: -300998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*19\/38)\/(54\/(-8))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 33*j**2 + 33*j**2 + 11*j**4 wrt j?\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j, 3*v - j = 3*j + 77. Let k = -14 + v. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 135*n**2 + 2*n + 3. Let m(w) = 406*w**2 + 8*w + 10. Let b(v) = 4*m(v) - 11*r(v). Find the second derivative of b(z) wrt z.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -17*y + 55. Let l be n(-13). Calculate the greatest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 120*v**2 - 230*v - 117. Calculate s(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a17 (base 12) to base 8.\nAnswer: 6163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -153? (a) 16 (b) 3\/7 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 0, 1, -5, 24 in descending order.\nAnswer: 24, 1, 0, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9814, 11071, 12328?\n\"Answer: 1257*m + 8557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 + w + 7. Let r(n) = -n**3 - 8*n**2 - 8*n - 1. Let g be r(-7). Suppose 0 = 3*h - g*h. What is m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*l + 117 = 0, 5*f = -2*l - 32 + 482. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(28)\/sqrt(4))**2*-6.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 5*s**2 - 8*s - 3. Let u be z(6). Is (-3)\/(-2)*(-590)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294260000 to the nearest 1000000.\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 4082?\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 589161211 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zum when three letters picked without replacement from uhfzmff.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -192543, -39, 10 in descending order.\nAnswer: 10, -1, -39, -192543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 8*v**3\/3 - 7895. Let i(c) = -2*c**2 + 135. Give i(s(k)).\nAnswer: -128*k**4 + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*l + 2*l + 20, 5*l = -3*i + 31. Solve l = 14*c - 37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 minus 828201.887?\nAnswer: -829041.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 8*s + 50*s**2 - 46*s**2 + 4 + 12 - 1 to z*s + q + h*s**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199.51 or 1?\nAnswer: -199.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40684553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2530 = 187*i - 189*i. What are the prime factors of i?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -10*h - 27. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 + 12*p**2 - 5*p - 4. Let t(m) = -5*m**3 - 6*m**2 + 2*m + 2. Calculate 5*t(g) + 2*z(g).\nAnswer: -3*g**3 - 6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -13*t + 2. Let g(w) = -7*w + 1. Suppose 12 = 2*k - 0. Let o = 8 - k. Suppose o*p - 4*p = -22. Give p*g(u) - 6*z(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 40*u - 1340. What is the remainder when m(44) is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -11201?\nAnswer: -11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxkxkkxxckkxkkkk. Give prob of sequence ckkk.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(24)*2 - sqrt(24) - 1*sqrt(24)*-3)\/(-2*sqrt(32)*-3))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*i**3*m**3 + 1017407*i**3 - 114*i**2*m**3 - 9*i**2*m**2 + 3*i**2*m + 71*i*m**3 - 17*i*m wrt i.\nAnswer: -318*m**3 + 6104442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 1, s: 2, j: 2, m: 1}. What is prob of picking 1 s, 1 k, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 124*v**2 - 1457*v + 34586. What is f(133)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4548 and 6822?\nAnswer: 13644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-8))\/(90\/(-120)) - -2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*d - 131172 = -743*d for d.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -7, -16, 4858 in increasing order.\nAnswer: -16, -7, 1\/3, 4858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -52*l + 3. Let t be v(-3). Let k = 38 + 2. Let i = t - k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**5\/7 - 320108*f**4\/7 - 4265917764*f**3\/7 + 96815205832*f**2\/7 - 579701685750*f\/7 + 344702848996\/7 = 0. What is f?\nAnswer: -26687, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138893 is divided by 132142.\nAnswer: 6751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let r(x) = 210*x. Let t(c) = 3*c + 37. Let m be t(-12). Let o(y) = 3*y. Let i(s) = m*r(s) - 84*o(s). What is b(i(w))?\nAnswer: 84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-20) + (-42)\/(-120)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -23 - -22 - 68\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**3 - s**2 + 3. Let x(n) = -n**3 + 1. Calculate x(r) - y(r).\nAnswer: -6*r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/30 + c**4\/12 + c**3\/6 - 7*c**2. Suppose -2*f + 2*a - a - 1 = 0, -2*f = 5*a + 7. What is t(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55*76\/((-4560)\/36)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 56 - (-190 - -173) - -44.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*f**3*o**2 + 1399*f**2*o - 93*o**2 + 10*o + 3 wrt f?\nAnswer: -30*f**2*o**2 + 2798*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 2. Let a(m) = 4*m + 2. Let g = -23 + 20. Give g*o(r) - 2*a(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/7 + 60*b**2\/7 + 128*b\/7 - 528\/7.\nAnswer: 4*(b - 2)*(b + 6)*(b + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-88)\/11)\/(1 - 2). Let s = 0.1617 - 13.1617. Which is the closest to s? (a) 0.5 (b) x (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/6 - (-1)\/(-2). Differentiate -3*n**3 - i + 2 + n**3 + 3*n**3 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243.4 + -5.30721\nAnswer: 238.09279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158787407 divided by -1?\nAnswer: -158787407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/8 - 7*u**3\/2 + 147*u**2\/4 - 343*u\/2 - 43. Factor c(d).\nAnswer: (d - 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18088)\/(-11343))\/119*3\/(-12)*3.\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 - -0.02. What is the closest to -8 in 2, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -28\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*r + 116. Let l be 14\/r - (-104)\/6 - -2. Suppose -5*x = t - 0*t - 356, -5*t = l. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14575, -14570, -14555, -14524, -14471, -14390, -14275?\n\"Answer: r**3 - r**2 + r - 14576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*z - 4*u, 3*z - 5*u = -z - 1. Solve -z*g = -g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113161 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 7:21 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 899484a1 - -4?\nAnswer: 899484a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 + 18*d**2 - 15*d = 0. Calculate d.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*b - 16, -3*k + b = 3*b - 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24551626 (base 7) to base 15.\nAnswer: -2db1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/198870064 and -151\/5232.\nAnswer: 596610192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbfbffbbffbbb. What is prob of picking 1 f and 3 b?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -555 - -1?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6180449 meters?\nAnswer: 61.80449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 3*y**4 - 6*y**5 + 2*y**5 + 3*y**5 + y**3 + 24*y**2 - 23*y**2 = 0. What is y?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1090 and 309893322?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 3. Let c be g(0). What is the second derivative of -c*t**3 - 10 + t - 3*t + 10 wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/790315 and -27\/95.\nAnswer: 15015985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 89*z**2 + 28*z - 14*z.\nAnswer: -89*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 495*f - 49. Is 55 a factor of y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f**2 + 269*f + 9. Give j(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 282246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(8\/(-72)) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58590916 + -0.0129658?\nAnswer: -58590916.0129658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 0*r + 4*r + 8*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 60\/173?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16309 - 16094.34. Let h = -212 + j. Let y = h + -5.17. Round y to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -188. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787, -6254, -21081, -49948, -97535, -168522, -267589, -399416?\nAnswer: -568683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and 675\/29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/33*2\/12)\/(100\/(-24))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.4 - -26. What is the nearest to -0.1 in z, 1\/2, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1577, 1719, 1793, 1799, 1737?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378818 less than 12862959?\nAnswer: 14241777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 58 = -4*m, 0*w - 4*m - 68 = -4*w. Suppose -c + 3*c - w = 0. Suppose c*y - 119 = -0*y. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a + 3*u = -123, -a = 3*u + 43. Is 2096\/5 + 8\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 2. Suppose 4*r + 11 + 13 = 0. Let b = r + 1. Let h be u(b). Sort h, 4, -2 in decreasing order.\nAnswer: 4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 183 + 170 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r + 4*i, r - 2*i - 9 = -0*r. Find the third derivative of -r*o**2 - 10*o**3 - 4*o + 4*o wrt o.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(605) - (sqrt(605) + -4 + sqrt(605)))**2*-2 - (sqrt(180)\/sqrt(4) - sqrt(10)\/(sqrt(16)\/sqrt(8))).\nAnswer: -706*sqrt(5) + 4968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3538, 5, 3, -12, 1, -3, 2 in descending order.\nAnswer: 3538, 5, 3, 2, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*t + 23 = -y, -2*y - 5*t + 22 = 0. Solve 2*q = 3*q + y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + a + 1 + 2 - 2 - 2*a + (3 + 3 - 5)*(4 - 4*a - 4))*(1 - 3 - 1).\nAnswer: 12*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 0*q**2 + 40 - 13*q**2 + 5*q + 0*q + 6*q**2 - 34. Let c be (2\/3)\/((-1)\/3). Let g be u(c). Are g and -32 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26797, 26798, 26799, 26800, 26801, 26802?\n\"Answer: g + 26796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 5300748*x**2 = 0. Calculate x.\nAnswer: 0, 1325187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = -3*g. Suppose -4*a + 112 = 32. Let y(w) = 3*w - 20 + a. Calculate y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:21 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69409, -69419, -69435, -69457?\nAnswer: -69485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -53. Suppose k = -4*p + 6*p - 4. Suppose -425 = -p*r - 87. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/20 + 107*2\/140. Is 1 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41\/3*k + 16\/3*k**2 + 26\/3 - 1\/3*k**3.\nAnswer: -(k - 13)*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 463 - 711 + 1104 + 988 to the form x + v*w and give x.\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-14))\/(13 + 623\/(-49)). Solve r*z - 4*z + 12 = 4*y, 4*y - 3*z = 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b - 94 = -51*b. Let z be ((-24)\/10)\/(21\/(-560)). Suppose 3*x - z = 35. What is the remainder when b is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 33*v**2 - 19*v + 610. What is k(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 1688 = 1120. Suppose 0*k = 4*k + d. Let r = 52 + k. Which is smaller: r or -24?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197730 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + -3 + 312\/(-42). Which is the closest to -2\/13? (a) -1 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((1*sqrt(88))\/sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17096 = -19*v + 17039 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-4) - 3\/2. Which is the closest to -0.5? (a) f (b) 2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 6140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 1 + 1 - n + n + 4*n + (4 + 0 - 2)*(0 + 0 - 3*n) + ((n + 0*n - 2*n)*(0 + 0 + 1) + 804*n + 390*n + 55*n)*(2 + 5 - 5) to i*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2208816 and -61\/818080.\nAnswer: 22088160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 580\/(-75))*5\/48?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2 - 2)*(-17 - 6 - 4) - 87*j - 94*j - 86*j + 265*j - 271.\nAnswer: 25*j - 271","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8401.74 centimeters to millimeters.\nAnswer: 84017.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (5 - 58) + (-46 + -36 - -63)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + l - 54605, -4*f + 74 = 3*l - 43610. List the prime factors of f.\nAnswer: 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 u when four letters picked without replacement from {x: 3, f: 4, r: 4, u: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17482 + 17481.4. Sort -8, -2.4, a.\nAnswer: -8, -2.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295 divided by 5844?\nAnswer: -765\/1948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060153?\nAnswer: 29, 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**2*t**2 + 5*s**2*t - s*t + 3*s + 2*t**2 + t + 5687 wrt s.\nAnswer: 4*s*t**2 + 10*s*t - t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95364*a**2*p**3*t - 3656*a**2*p**2*t - 6*a**2*p*t - 65*p**3*t - 9*p**2*t - 5*t wrt p?\nAnswer: -572184*a**2*t - 390*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 653955679 to the power of 1\/3, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, 3, -5, 5, 42.\nAnswer: -5, 3, 5, 42, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u - 10 + 10)*(-1710 + 385*u + 1710).\nAnswer: 3850*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8 - 4. Suppose y + 252 = 5*p. Suppose 7*h + p = 8*h. Calculate the greatest common factor of 34 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 3*g + g + 2 + (4*g - 3*g - 4*g)*(1 + 0 - 3).\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 700, 707, 714?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6, -3*m = -4*z + 86 - 11. Let x = -4 + 7. Suppose 0 = 7*b - 4*b - x. Solve 5*q = -b + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 461556 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*v - 226*v - 35*v - 131*v + 593*v - 170*v.\nAnswer: -147*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 15585192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 40 + 80*f - 68 + 170.\nAnswer: 80*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1501530236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6836 and 4137489?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -10*w**3 - 40896*w**2 + 57270*w - 16364 = 0.\nAnswer: -4091, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**6\/6 + 3*s**2\/2 - 2. What is the second derivative of j(y) wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((-1*sqrt(306))\/sqrt(6))\/(sqrt(15)\/sqrt(5)*2).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 13. Let c = 6.99999991 + u. Round c to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*y - 24, -2*y - 2 = -3*y. Let n be (-1 + (0 - t))\/(-2). Let p(w) = w**2 - 6*w - 2. Let j be p(7). Solve j*r = n*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyrgggri. Give prob of picking 1 g and 1 i.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1\/5*w**2 + 0 + 2\/5*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12893086 greater than 12893090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - 4*t + 5*t**2 + 9*t - 7. Suppose -3*q - m - 21 = 0, 53*q + 2*m + 2 = 55*q. Calculate o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 17.3, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4380 by 1095.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 16*b - 3*o + 24 = 0, 0 = -3*b - 3*o + 12. Put -4, 1003, 3, b in increasing order.\nAnswer: -4, b, 3, 1003","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttwtwt. What is prob of picking 3 t and 1 w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128035338 and 1032.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c\/(c\/(c\/(c*c**(-1\/13)))*c)*c)\/c))**(-29))**(-3\/4) assuming c is positive.\nAnswer: c**(261\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -232094348 divided by 6107746?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) -6.16 (c) 9 (d) -5 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y - 1055 + 999 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80 - 11\/66*-102. Solve 102*q + 5 = i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**2 - 9*n**5 + 8*n**2 - 8*n**5 - n**5 + 3*n**5 + (3*n**4 + 2*n**4 - 3*n**4)*(2*n + 2*n - 2*n) + (n - n - 2*n)*(n - n - 2*n**4) + 1 - 1 - 2*n**5.\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4767742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*q**3 - 96*j**3 - 2*j**2*q - 290*q**3 wrt j?\nAnswer: 12*q**3 - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(60)\/sqrt(5)))\/sqrt(108).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 721355, 721370, 721405, 721466, 721559, 721690?\n\"Answer: g**3 + 4*g**2 - 4*g + 721354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -641970378 divided by 3?\nAnswer: -213990126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3382120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 + 85*r**4 + 525*r**3 + 1375*r**2 + 1250*r = 0. What is r?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 333 + 293 = 5*i, 7*m - m = 3*i - 93 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 22 = d, -2*d + 2*v + 16 + 8 = 0. Let a(q) = 30*q**2 - 28*q + 26. What are the prime factors of a(d)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 3*y + 10, 0 = -y - 0*i - i - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88)*-3 - sqrt(88)))*3 + -1*sqrt(88)*-3)\/(-4*3*1*sqrt(288)).\nAnswer: -5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i. Let q = 72 - 71. Let u(l) = -l - 1. Let g(b) = 2*b - 6. Let c(o) = q*g(o) - 6*u(o). Determine y(c(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 747465*d - 18683500.\nAnswer: -5*(d - 149468)*(d - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 + 3*t**2 + 4*t - 7. Let m(c) = 11*c**3 - 9*c**2 - 11*c + 20. Give 8*g(s) + 3*m(s).\nAnswer: s**3 - 3*s**2 - s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgh. Give prob of picking 1 c and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0\/o)\/o)**(-6\/7)\/(o**0*o**(2\/5))*((o*o\/(o\/(o**(3\/8)*o)))\/o**(-8))\/(o**5\/((o\/(o**8*o))\/o)) assuming o is positive.\nAnswer: o**(-647\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*c**3 - 15051950*c**2 + 60208220*c - 60208360.\nAnswer: -5*(c - 2)**2*(7*c + 3010418)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 870 and 1007025.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81463573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*v**2 - 22 - 12 + 26*v**2 wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0714? (a) 3 (b) 4 (c) -1 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + k)*(-153*k**4 - 60*k**4 - 6*k**4).\nAnswer: 438*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12.95. Let b = 45.05 - q. Let s = 45 - b. What is the nearest to s in 0.2, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(27))**2*-4.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53668.9 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 5*a**4\/12 + a**3\/3 + a**2\/2 + a + 47. Calculate p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Suppose 56 = 3*d + h*l, -7*l = 3*d - 2*l - 68. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -0.01 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 55*l - 321. Let s be r(6). Solve 0 = 12*z - 15*z + s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5123, -20633, -46513, -82769, -129407, -186433?\n\"Answer: -b**3 - 5179*b**2 + 34*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1801 - -1806. Solve 17 = -c + d*a, -5*c = 2*a - 0 + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:44 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:44 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 x, and 1 p when four letters picked without replacement from {p: 1, e: 3, x: 1, f: 1, s: 2, l: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 6 = -5*j - 4*r, 5*j + 3*r - 17 = 0. Put 3, j, 5 in ascending order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1447, -3 in decreasing order.\nAnswer: 1447, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = 19. Suppose -2*v + h - 1 = -7, -5*v + c*h = -12. Solve 0 = n - k - 1, -3*n + v*k + 5 = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r, -f - f - r + 1 = 0. Let l be 3\/f*(-1254)\/99. Put l, 1\/3, 1 in ascending order.\nAnswer: l, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410021232 (base 5) to base 12.\nAnswer: -67232b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15343, -30685, -46025, -61363, -76699?\nAnswer: -92033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/64, -4, -0.3, 3\/2, 8\/13 in ascending order.\nAnswer: -4, -0.3, 1\/64, 8\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Let x(d) = -d**3 + 4*d**2 + d - 1. Calculate the remainder when x(f) is divided by -5 + (14 - 2 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 864535 from 0.02752.\nAnswer: -864534.97248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907*f - 891*f - 899*f + 3614*f - 909*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9 (b) -2\/9 (c) 3\/2 (d) -1\/8 (e) 219 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0489431 milligrams?\nAnswer: 48.9431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 115. Suppose -v = -i*u + 545, 436 = 2*u + 2*u - 4*v. List the prime factors of u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 110, 246, 426, 644, 894, 1170?\n\"Answer: -o**3 + 31*o**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 302 - 298. What is the closest to -2\/5 in x, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3, 3*s + 5*n + 33 = -556. Are -199 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)\/y*y)**30*(y\/(y\/(y*y\/(y*(y*y**(-4))\/y)*y)*y*y))\/(y*y*y\/y**(1\/28)*y*y) assuming y is positive.\nAnswer: y**(1233\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61029, 244158, 549381, 976704, 1526133?\n\"Answer: s**3 + 61041*s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7 - (-26 - -44 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = 4*a. Let u be a\/(-5) - (-58)\/(-120). Let v be -3 - (7 - (-3 - 18\/(-2))). What is the nearest to 2\/3 in v, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37339, -149357, -336055, -597433?\n\"Answer: -37340*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/63 - 44\/154. What is the smallest value in 0.4, -0.06, w, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a meter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a28 + 34?\nAnswer: -9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 2*x**2 - x + 1. Let u(w) = w + 9. Let c be u(-7). Does 2 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxxg when four letters picked without replacement from {x: 5, h: 1, z: 3, v: 3, k: 2, g: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/23)\/r*r\/r**(-2)*r)\/(r\/(((((r*r**(-1\/5))\/r)\/r)\/r)\/r)*r**(-8)) assuming r is positive.\nAnswer: r**(792\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*j + 31626 + 5586, 4*g - 49615 = -5*j. What is g rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 6879969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 16. Suppose y + 8 - 23 = 5*d, -3*y = 0. What is the remainder when 1 + d\/3 + 35 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*p = 917*p - 21 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 + 59*r - 172. Calculate l(12).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/(-14) + 4\/14. Let h(r) = -r**3 - 4*r**2 + 5*r - 2. Let z be h(w). Suppose -a - 3*a + z = 0. Solve 0*y = -2*y - a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186 + 354. Let k = r + 68. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 51*p - 850. Is 80 a factor of l(70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 5, -32, -67?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -282*b**3 - 8*b**2 + 139*b. Let m(s) = -283*s**3 - 6*s**2 + 139*s. Let n(k) = 3*m(k) - 2*z(k). What is the third derivative of n(j) wrt j?\nAnswer: -1710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/4 + 7*f**3\/3 - 27*f**2\/2 + 31*f - 16. Let b be l(-10). Solve -5*r - b = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/420 + p**4\/28 - 2*p**3\/21 + 6*p**2. Factor a(k).\nAnswer: -2*(k - 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27120196 to the power of 1\/2, to the nearest integer?\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 + 2.04. Let o = -2.1999978 + x. What is o rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*2)\/((-176778)\/(-6588)).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -31*g - 6 + 69. Let x = 0.1 + -0.1. Let j = 9 + -11. What is the closest to 2 in g, x, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*n - 21363 = -13245 + 13962. Solve 0 = -16*k - 7*k + n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*-16 - 0. Suppose g - 50 = 4*x, 5 - 27 = x - 5*g. What is the common denominator of (-6)\/h + 309\/(-36) and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9694133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107*m**3 - 132*m**2 + 132*m**2 + (0*m + m - 2*m)*(-4*m**2 + 0*m**2 + 5*m**2).\nAnswer: 106*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 + 3*k - 7. Let z(h) = h**3 - 2*h**2 + 2*h - 6. Determine -4*v(y) + 6*z(y).\nAnswer: 2*y**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -j - 11, -2*j - 3*b - 10 = b. Let z = j - -11. Suppose 2 = -3*i + a - 3, 5*a = -z*i + 25. Solve 2*d + 8 = -i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 8*h - 107. Let v be m(-15). Which is smaller: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**13*i\/i**(-49)*(i*i**(-11))**(-5\/6) assuming i is positive.\nAnswer: i**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2643, 3 in descending order.\nAnswer: 2643, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -3181?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4))**(1\/22)\/(j*(j\/(j**(-17)*j)*j*j*j)\/j*j**(9\/8)\/j*j) assuming j is positive.\nAnswer: j**(-232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 22 = -2*h. Let g = 18 - h. Calculate the greatest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/5*1000\/(-8). Let p = 298 + f. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004522 rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20342179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.048.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 3917354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -86. Let u = -12 + 15. Suppose u = -v + 5. Solve v*j - j = -h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b214 (base 12) to base 8.\nAnswer: 551560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/2, -0.6, 42 in ascending order.\nAnswer: -0.6, -1\/2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmuu when four letters picked without replacement from mumummmtmtummmmmm.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -65. Suppose -9*t + 5*t + q = 0. What is the common denominator of (-655)\/75*(-10)\/t and 55\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 347 - 17?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-5))\/1)\/((-34)\/(-340))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 530 = -54*q, 4*q - 5*q - q - t = -25 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/9 of a week in minutes?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - k**2 + 9*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1374107688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/21 - (-6)\/9. Find the first derivative of -2 - 6*s**2 + 0*s**2 - b*s**2 + 0*s**2 wrt s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z - 15. Suppose -r + 55 + 22 = -118. Calculate the smallest common multiple of c(-7) and r.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11886 and 112634.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3833 is divided by 765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46308, -92678, -139050, -185424, -231800, -278178?\n\"Answer: -i**2 - 46367*i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1202*t + 843. Is u(67) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - -365. Let b be 9\/2*2\/3. Suppose j - w = -b*j. Calculate the remainder when j is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1798\nAnswer: -5\/1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(11)*-1)*-6)**2.\nAnswer: 216*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, k: 5, u: 7}. What is prob of picking 1 b and 3 k?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 297427 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -4 + 1)\/(-1). Suppose 0 = y + s*p + 16, -4*p - 3 = y + 9. Find k, given that -3*k + y*k**2 + 8*k + k - k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1513*m - 104560 + 39268 - 97991 - 34920 for m.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = 5*d, 0 = 4*z + z - 20. Solve 0*u + g = u, u - d = 2*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 20 (c) 2\/5 (d) -3\/2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30775 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115872436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 3*k, 5*j + 52 = -2*k. Let n(c) = -c**2 - 9*c + 12. Let p be n(j). Suppose 4*d = p*d + 36. Solve 5*g - x = -0 + d, 0 = 4*g + 3*x - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3423355 - -3?\nAnswer: -3423352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 9) in base 5?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9862.947nm to micrometers.\nAnswer: 9.862947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150, 803, 1900, 3453, 5474, 7975, 10968?\n\"Answer: 2*z**3 + 210*z**2 + 9*z - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4540.351ns to microseconds.\nAnswer: 4.540351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31525 - c6e?\nAnswer: -32294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 14.5. Let u = f + -11.5. Suppose -r - 12 = 5*h, -2*h - 9 - 3 = 4*r. Put 3\/4, r, u in decreasing order.\nAnswer: 3\/4, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from ncnlllnplldynypnyp.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6171293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-2)\/8) + 1. Suppose 0 = m*b - 0*b + 30. Let k be (-36)\/(-15) - b\/10. What is the greatest common divisor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718784 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7549571 rounded to two dps?\nAnswer: 9.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2917, -5704, -8357, -10876, -13261, -15512, -17629?\n\"Answer: 67*d**2 - 2988*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.259 (b) 0.17217 (c) 4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (51\/9 - (2 - -3))\/(20\/(-18)). Let t = 5 - 6. What is the second smallest value in 2, 2\/21, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 48 = -108. Suppose 0 = v + j, -4*o - 4*v + 7588 = 2940. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102541247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2527 + 9104 = 244*a + 2359 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 94882*o**4 - 2245043481*o**3 + 265906805000*o**2 - 7854006250000*o.\nAnswer: -o*(o - 59)**2*(o + 47500)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (-3)\/1)*-1. Let h(f) = 1 - 7*f - x*f**2 + 5*f**3 + 10*f**2 - 4*f**3 - f**2. Give h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 787*o - 1. Let z be s(1). Let d be 16\/6*z\/8. Let k = 164 - d. What is k rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdtttddtdttdt. Give prob of picking 4 t.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16163405 (base 8) in base 6?\nAnswer: -211532341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 44815675 = t + 4*t, -4*b = -5*t + 44815675. Suppose 3*h + 21936865 + t = 0. What is h rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -758*g*j - 117354*g - 10*j**3 - 2*j with respect to j.\nAnswer: -758*g - 30*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-538441)\/114)\/17*-30?\nAnswer: 5, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258*j**3 - 252*j**3 - 256*j**3 - 4*j**4 + 764*j**3 + 104*j**2 + 2 + 2*j to b*j**2 + d + h*j**3 + g*j + t*j**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4838 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*k = 5048*k + 1968*k - 267344 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5575573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {l: 6, u: 2, d: 4, v: 4, n: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let p(x) = 3*x**2 + 6*x + 6. Let d be p(-1). Let v(f) be the first derivative of 0*f**2 + 2\/3*f**d + 0*f + 10. Calculate u(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250*a**2 + 135*a**3 - 162*a**2 + 56*a**3 + 85*a**3 - 54*a**3 wrt a?\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q + 284*q = -97 - 146 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (8 - (-8 - -8)) - (-4 - 18 - -16)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b)\/b*b\/(b*b**(-4\/3))*b*b**(-2\/3)*b*b**1*b assuming b is positive.\nAnswer: b**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 0.5, 1\/7, 2\/23, 3\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = -6. Suppose 4*c - 2178 = -3*o, a*o = 3*c - 6*c + 2181. Suppose -3*k + 1113 = 3*v, o = 2*k - 4*v - 24. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233645 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 1. Suppose -4 = 3*a - u, -2*u + 1 = -u. Let t be q(a). Suppose s + n + t = 28, -3*s = 2*n - 83. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 514423 + 4?\nAnswer: 514431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-450 - -461) + 1 + -7. Let s = -0.07 + 4.07. Which is the third smallest value? (a) n (b) -23 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**3\/3 - 1. Let m = 1 - 1. Let z(b) = b + m*b + 0*b. Determine w(z(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4544830, 18179236, 40903244, 72716854?\n\"Answer: 4544801*x**2 + 3*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/32 and 3\/194638912.\nAnswer: 194638912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 - 3*a**2 - 5*a - 9. Let n(f) = 3*f**3 - 2*f**2 - 4*f - 10. Determine -4*d(g) + 5*n(g).\nAnswer: -g**3 + 2*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 987936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27898.34 - -0.0752.\nAnswer: -27898.2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26582233421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096861801 to 7 decimal places.\nAnswer: 0.0009686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149899 is divided by 24940.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g - 8. Suppose 0 = -3*d + 8 + 10. Give o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -837434\/191917 - 2\/17447. Calculate the common denominator of -2 + -4*15\/(-66) and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5471\/40920 + 1\/2728. What is the nearest to -0.1 in -12\/7, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/5 + 3*o**2 + 4488*o\/5 - 141328\/5 = 0 for o.\nAnswer: -73, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 1 = -3*c - 1, -3*i + 3 = -4*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 27 - (7 - 1 - (-1 + -9 + 11))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l**2 + 112*l - 3*l**2 - 98*l - 57. Let w be r(9). Let t(m) = -271*m - 268*m + w*m. Let p(b) = -3*b. Determine t(p(c)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4075 + -4075.22058. Let m = x + 0.22. What is m rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 13340)\/(-8)*((-9 - 64) + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 214875?\nAnswer: -214865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -1269, -2900, -5179, -8100, -11657?\nAnswer: -15844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79979 is divided by 183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/18)\/(123\/(-369))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500554 is divided by 18498?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = -2. Let o = w - -2. Find the third derivative of 8*a**2 - 11*a**2 - 3*a**o + a**3 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 - -1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:23 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + (0 - 0) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144379221565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2028)\/(-3) + 1 + -8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*z - 10*z = 0, 19 = -3*s - 2*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Let l = v + 0. Let m = -0.3 - -0.4. Which is the closest to m? (a) -0.4 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (608 - 2)*(2 - 3). Let c = -212 - m. Suppose -77 = -y + 2*f, -y + c = 4*y - f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, 230809 in descending order.\nAnswer: 230809, 43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537734, -1075500, -1613266?\nAnswer: -2151032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v - 4*b = 74*v + 5, -4*v - 20 = 5*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 230699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14020109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 + -175. Let l = 89 - o. What are the prime factors of l?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 - -68. Let d be (-24)\/9*n\/10. Suppose -2*g + 118 = d*v, 2*v + 156 + 60 = 4*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 b when four letters picked without replacement from vvvvbvbzvzzvb?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-5)\/(-35))\/(6\/42)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26601012*-3.\nAnswer: 0.79803036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-4) - -2)*3. Let l be (-14)\/g*6\/(-4). Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 155*g**4\/8 - 34*g**3 + 445*g**2. What is the derivative of n(s) wrt s?\nAnswer: 465","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678789582 to the power of 1\/2, to the nearest integer?\nAnswer: 51757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:46 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*r - 2 = 10*r, 0 = 5*a + 4*r - 6. Let t be (15\/a)\/(-5)*32\/48. Let d = 90587\/157 + -577. Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 771 = -4*z - 21*c, -4*c + 380 = 2*z. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 4. Let h be f(2). Let k be 4*(-1)\/(-2*h\/8). Suppose 0 = 5*r - 20, -z + r = -k*z + 13. Solve 2*w = 3*j - 1, -6 + 1 = -2*w - z*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/(-60)*4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 73.7276 grams?\nAnswer: 73727600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 + 17*i + 12. Let r be h(7). Let x be 2\/4 - -1 - r\/32. Suppose -x*n + 7*n - 45 = 0. Calculate the least common multiple of 11 and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - 134.933024901.\nAnswer: -169.933024901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*j + 68 + 247*j + j**2 - 493*j = 0. Calculate j.\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8263 divided by 2?\nAnswer: 8263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24772, -23987, -23232, -22513, -21836, -21207?\n\"Answer: -g**3 - 9*g**2 + 819*g - 25581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-4 - (-25 + 17)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142a003 (base 12) to base 16.\nAnswer: 3da583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 103*i - 3599. Let t be z(35). Solve 54 = t*n + 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 847 and -482.586.\nAnswer: -408750.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 1059*q**2 + 261*q + 92142. Give t(-353).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*q, 13*w = -13*w + 24*w + 5*q - 26 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 0.3. Which is the fourth smallest value? (a) v (b) -1\/4 (c) -1 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*o = 0, t = 5*o - o + 9. Suppose 5*d + t = 5*i, 3*d - 1 = 2*i - 2. Suppose -5*l + 11103 = i*v, 3*l + 4*v = -0*v + 6659. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.14293697 rounded to 1 dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2*n - 10. Is 2 a factor of t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1321*h + 42 = 1314*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -342983.\nAnswer: -342982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -111. Suppose -4*f = -3*f + 38. Let k = c + f. What is the remainder when 40 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/3 + 4028*a\/3 + 8060\/3 = 0.\nAnswer: -2, 4030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1995 and 93167697.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4269167?\nAnswer: 4\/4269167","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117378597*k*y**2 - 5868872*y**2 - 10*y wrt k?\nAnswer: -117378597*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10693247.\nAnswer: 10693247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 9*l**4\/4 - l**3 - 5*l**2\/2 - l + 7. Find a, given that v(a) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*(-1 + sqrt(8)) + 0))**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1903466, 3806951, 5710436, 7613921, 9517406, 11420891?\n\"Answer: 1903485*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**4 + 5*j**3 - 24*j**2 + 1983*j.\nAnswer: -48*j**2 + 30*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5651*h + 90373 - 68216 = -113467 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2499 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1071325 and -66888.\nAnswer: -66888.1071325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2856, -6288, -9720, -13152, -16584, -20016?\n\"Answer: -3432*l + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + -25. Let c = j + 128. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4092487 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -172. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 12 + -1 + 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 1:26 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 6. Let b = 1 - 7. Let o(a) be the second derivative of 2*a**3\/3 - 11*a**2\/2 + 433*a. Determine b*o(z) + 11*k(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 40 + 3\/4*m**4 + 29\/3*m**3 - 1\/2*m**2 - 4\/5*m**5 + 0*m. What is the third derivative of z(n) wrt n?\nAnswer: -96*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/150 - 11*j**4\/30 - 121*j**3\/15 - 2*j**2 + 4. Solve f(b) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -215 and -2.4489061?\nAnswer: 212.5510939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 583953 * -222.\nAnswer: -129637566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*2\/(-8)*10. Let c(n) = -4 - 4*n - 32*n**2 + 35*n**2 + 0 - 1 + 2. Is c(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2008, -2006, -1990, -1954, -1892, -1798, -1666, -1490?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b + 7. Let m(k) be the third derivative of k**6\/120 - k**5\/15 - k**4\/6 - k**2. Let h be m(5). Calculate a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-242)*11*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d + 58. Let t be z(6). Let g(i) = -i - 7. Let h be g(t). What is the tens digit of 86 + (-12)\/3 - h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 p, and 1 u when four letters picked without replacement from nakakaaaakup?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4443041?\nAnswer: 4443041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9110 and 37351?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac - 475?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 626, 1250, 1874?\n\"Answer: 624*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17236 + 60 + (-7 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 1402, 3068, 5400, 8398?\nAnswer: 12062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 51*g**2 - 28*g - 156. Is w(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a + 29*a + 26*a + 31*a + 22*a - 127*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.4, -45, 3 in descending order.\nAnswer: 3, -10.4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 72 = 4*i - 0*d, 24 = i + 3*d. Suppose -5*v + i = -5*h, 0*h + 23 = 5*v - h. Calculate the smallest common multiple of v and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 15*p**2 - 13*p + 21. Calculate c(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-11))\/((f\/(f**(-3)\/f)*f*f)\/f))\/((f*f*(f*f\/(f*((f**(1\/12)*f*f)\/f*f*f)\/f)*f*f)\/f*f*f)\/f**(-12\/7)))**16 assuming f is positive.\nAnswer: f**(-7268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-3) + 2)*3. Let x(o) = -4*o + 1. Let i be x(v). What is the highest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (2 - 5)) + (41 + 14 - 27)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {w: 1, b: 4, u: 2, t: 7}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 + -2063\/8. What is the closest to 0.1 in -4, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 9*d**2 - 69*d + 182. Determine s(-18).\nAnswer: -1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 8*h + 27. Let l be b(8). Suppose -5*v - l = -3*k, 3*v + 204 = 4*k - v. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.02, -6\/5, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-971 - (1 - 5))*(-2)\/300. Let s = -468\/25 - x. Find the common denominator of 61\/3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394 and 90.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*b + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(52) - 3*sqrt(52)))\/(sqrt(20)\/(sqrt(245)*-3)).\nAnswer: -336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2 = h - c, -5*h = c - 20. Let n(b) = 16*b**2 + 4*b + 1. What are the prime factors of n(h)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*g + 18, 0 = -4*g - 7*x + 3*x - 28. Sort g, 3, 7, 1 in increasing order.\nAnswer: g, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -2b86?\nAnswer: -2b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/22)*w**25 assuming w is positive.\nAnswer: w**(571\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/4*18\/((-1314)\/(-73)).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -33*n. Let q(l) = -2*l - 3226. What is q(d(h))?\nAnswer: 66*h - 3226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -70*o**4\/17 + 9609246*o**3\/17 - 329772094660*o**2\/17 - 348626404152*o\/17 - 18844700176\/17 = 0.\nAnswer: -1, -2\/35, 68638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + 13302?\nAnswer: 13226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28184331 and 1575?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 1 + 9. Suppose 12*n - q*n - 132 = 0. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 5*t**2 - 2*t - 2. Let w be i(5). Let r be -1*(2 - (-28)\/w). Let j = -1.3 - -1. Which is the nearest to r? (a) -1\/3 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*s**6 + 4*s**2 - 32*s.\nAnswer: -18360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*p - 3*r, -p - 81*r + 82*r = 6. Which is smaller: p or -15\/967?\nAnswer: -15\/967","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89029\/354 or -252?\nAnswer: -89029\/354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) -4 (c) -6326 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3, 0.4, 54, -477, 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.5*-0.03672.\nAnswer: 1.23012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34069 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 10137858 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20666202 divided by -54242\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 27951.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8590275101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39637\/8 + -4943. Calculate the common denominator of f and (-5)\/4*428\/50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/6*54\/30. Let l(h) = -44*h - 18. List the prime factors of l(m).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 10*j**2 - 8*j + 29. Is 17 a factor of a(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) - (-5 + -1 + sqrt(272))) - sqrt(272) - sqrt(272)) + sqrt(272).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*g + 22, 2*z = -13*g + 17*g - 12. Suppose 54*w + g = 56*w. Determine f so that -3\/4*f**w + 3\/4 + 0*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0.4 (c) -79\/5 (d) 0 (e) -3 (f) -0.59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -9*f**2 + f - 11. Suppose 0 = 4*o + m - 3*m + 22, -18 = 3*o - m. Let z = o + 6. Calculate n(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79ed - 11b0?\nAnswer: -8b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.3 (c) 3\/4 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51422106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87119256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5434902 and -61\/1207756?\nAnswer: 10869804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1454764 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t + t + 4*t)*(-1 - 2 - 1) + (-4 - 7 + 4)*(-11 - 8 + 7)*(-2*t + 0*t + t) to the form a + x*t and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/369940 and 105\/406934.\nAnswer: 4069340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2 - 2*c**3 + 3 - 12*c + c**3 + 1 - 6. Let p be y(12). Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.051 in 0.0204, -30, -5?\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/((g\/(g\/(g*g**(-3)*g)))\/g))\/g)\/g*g))**44\/((g*g\/g**(-6\/11))\/((g**(9\/2)\/g)\/g)) assuming g is positive.\nAnswer: g**(-969\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/7))**(-19))**(-1\/4))**(-3\/32) assuming z is positive.\nAnswer: z**(57\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427 - -171. Let u = y - -749\/3. Calculate the common denominator of u and 75\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131238.32789 to the nearest integer.\nAnswer: 131238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 10 + 34. Solve -b*i - 2 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:50 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13945448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**3 + 20*d**2 + 44*d - 148. Calculate r(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-15)*(-4 + 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 3*s - 3 - 2*s**2 + 6 + (-3 + 2*s + 3)*(-21*s + 2*s + 51*s).\nAnswer: 62*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 3, r: 2}. What is prob of sequence ro?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 41*q - 357 = 121 + 193, 0 = -4*f - 0*q + 4*q - 44 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 2*l. Let g be (-2)\/(66\/(-39)) + l. Which is the third smallest value? (a) 0 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 240 = -0*a. Suppose 6 - 26 = -4*s. Suppose -20 = -b - s*f, 4*b - 7*f - a = -3*f. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 56. Let n(m) = -s*m + 22 - m - 41 + 21 + 2*m**2. Give n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 9*l**2 - 2*l**2 - 2*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 13*z - 4. Let s be c(-11). Let f = s + -5. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21509, 21357, 21175, 20963, 20721?\nAnswer: 20449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30915 and 38454138?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1724172481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by (4\/6)\/(-11 + 1393\/126)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 6*s, -4*v + 2*s = 16. Let k be 2 + v\/(-10) + (-584)\/260. What is the smallest value in k, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3231301 - 10032?\nAnswer: 3221214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16347 - 10129. Suppose 0 = 8*f - 1670 - w. Is 58 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:45 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7773308.\nAnswer: 2, 1237, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/7 + 316*y\/7 + 930\/7 = 0 for y.\nAnswer: -155, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375) - 6*sqrt(1375)*-2) + (sqrt(1375) - 1*sqrt(1375))*3)\/(sqrt(88)\/sqrt(392) + (sqrt(11) - sqrt(77)\/sqrt(7))*5).\nAnswer: 455*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 14. Let q = 24 + -30. What is the remainder when z(q) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 1, e: 1, f: 1, m: 1, p: 1}. Give prob of sequence umuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*u - 36*u - 77*u**3 + 32*u to o*u**3 + s*u**2 + j*u + g and give o.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1071 - 1070.96. What is the nearest to -0.1 in 0.5, 1, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18595300 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1092, 2194, 3296, 4398, 5500, 6602?\n\"Answer: 1102*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + c + 6, 0 = -2*w - c + 35. Let y be (4 + -1)\/(3\/w). Suppose 0 = -5*x - b - 4*b - 5, -x + y = -3*b. Solve -4 = x*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = r - 66, -18*c = 124*r - 127*r + 216 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-273))\/(((-1500)\/140)\/(-25))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 15 = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - 5 + 5)*(-870 + 451 - 524) as z*k + q and give z.\nAnswer: 3772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-15)\/(-135))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 79*j**3 - 1031399*j**2 + 1031399*j**2.\nAnswer: -79*j**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100450522 (base 6) to base 15\nAnswer: 23dcce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56821943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 588 - 589. Which is the second biggest value? (a) -4 (b) 0.12 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/6 (c) -13133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -208, -202, -190, -172, -148?\n\"Answer: 3*j**2 - 3*j - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + ((2 + sqrt(304))**2 - sqrt(304)) + 1 + (sqrt(304)*-2)**2*-2)*6.\nAnswer: -12738 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)*(-15 - -14). Let c be ((-2)\/(-6))\/(f\/(-18)). What is the third derivative of 4*o**c - 9*o**6 + 4*o**2 + o**2 wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 53, -1, 4\/5, 364, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 4 (b) 1\/2 (c) 3 (d) -11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 307 in decreasing order.\nAnswer: 307, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(-5*j + 3*j - 4*j + (1 + 2 - 2)*(0 + 0 + j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.257 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**3 + b**3 - 7*b**3)*(36396 - 14832 - 16825) in the form v*b**2 + h*b**3 + j + i*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -4306\nAnswer: -430.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 25, 2*s + 7 = -4*l + 37. Suppose 5*v + 10 = 0, 3*k - l = -4*v - 1. Let g(j) = -3*j + 15. What is the units digit of g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 235*o**6\/2 - 224*o**3 + o + 127. Find the third derivative of b(m) wrt m.\nAnswer: 42300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i - 166. Let f be n(-14). Let s = f + -93. Which is smaller: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 59 + 7 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 2 = -q, 3*n + 4*q = -23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1290\/2226 - ((-29)\/(-14) + 15\/(-10)). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56686 - 151583 = -2956*y - 2499*y + 112393 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78909\/7 - -11134. Let v = k - -139. Which is the nearest to 0.1? (a) -0.4 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 6*t - 13 + 4 + 10*t**2 + 4*t + 10 as h*t**3 + u*t + d*t**2 + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2727351 and 2424312.\nAnswer: 21818808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*h**3*r**3 + 2*h**3*r**2 + 16962*h*i**3*r**2 - 2*h*i**3*r + 178*i**3*r**3 wrt r?\nAnswer: 390*h**3 + 1068*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/(-299))\/((-45)\/(-390)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:33 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -408108 (base 10) to base 8.\nAnswer: -1435054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12543576707 + -12544946269.9913. Let j = 1369704 + z. Let k = j + -141. What is k rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by ((-4)\/(-5))\/((-2)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 2\/15, -2\/9, 205, 5, -3, 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.116386181085 from -178.\nAnswer: -178.116386181085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 765 + -466. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1260, 1261, 1262, 1263?\n\"Answer: u + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101001000111011001111?\nAnswer: 101001000111011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 3 + 3 + 1 + -5 + sqrt(65)\/sqrt(5) + 4*(sqrt(208) + sqrt(13)).\nAnswer: 2 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 + (0 + 29 - 11) - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = -45*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*g**3 - 101*g**2 + 106*g**2 - 3 to d*g**2 + c + v*g**3 + o*g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 285836191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 199 - 15 = 0. Suppose -19*m - 617 - 48 = 0. Let i = m + k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-15)*-3*-7. Calculate the greatest common factor of f and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = -85 + 117. What is the first derivative of -218 - 137*g**2 + 280*g**2 - 148*g**u - 21*g wrt g?\nAnswer: -10*g - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 95*g - 12. Let y(b) = 142*b - 17. What is 7*w(i) - 5*y(i)?\nAnswer: -45*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 0*w + 3*w)*(-4*w + w + 4*w) - w + w - 2*w**2 - 49*w - 8*w**2 + 49*w)*(2*w**3 - 5*w**3 + w**3).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18996 - 3618. What are the prime factors of y?\nAnswer: 2, 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.230037 days?\nAnswer: 711075196.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:48 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424811.\nAnswer: 424811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27283 is divided by 546.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387949 is divided by 782.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5538*f**3 - 5539*f**3 - 5549*f**3 + 16607*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 + 2520*y**4 - 330495*y**3 + 3394840*y**2 - 7189500*y - 10917360 = 0. Calculate y.\nAnswer: -1, 6, 236, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(405) + 5 + -4 + sqrt(405)*-3 + -1.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*s + 5*f = 186*s - 78, -302 = -5*s + 3*f. What is the remainder when 2498 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 30 - -9 - (-3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 3*l. Let d(w) = w**2 - 5*w - 8. Let y be d(6). Let k be y + 4 - (-3 - -1). Solve -x - k*f = -7, x - 4*f + f = l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -77. Let c be 6\/15 + v\/(-15). Suppose -y = 2*j + 2 + 1, -3*y = 4*j + 9. Solve q + 1 = -u - j*q, -10 = c*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12797?\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*p**2 - 8*p + 256*p**2 - 3*p.\nAnswer: -2*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkffkmbmmkbkbbrkfr. Give prob of picking 1 r, 2 m, and 1 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, 1\/61, -2474?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -763 times 0.0351\nAnswer: -26.7813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1394*h*m**4 + 2*h*m**3 + 4256*h*m wrt m.\nAnswer: -16728*h*m**2 + 12*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/7)\/((-16)\/28)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -79853 divided by -1\nAnswer: 79853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57343 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 + 66 - 131 - 19500*m - 15275*m)*(6 - 2 - 2)*(-1 + 3 + 0).\nAnswer: -139100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 1, h: 1, y: 3, t: 3}. What is prob of picking 2 t, 1 i, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 5451.17.\nAnswer: 54511.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edktd. What is prob of picking 1 e and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17 - 6 + 13*y - 4*y - 3. Let v(m) = m**2 - 5*m + 1. Let u be v(4). Let f be (-1 - -8)\/(-82 - -81). Let g(q) = -4*q - 4. Give f*g(o) + u*b(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + 4*j)*(2 + 0 + 6*j - 3) + 0*j + 4*j**2 + 0*j.\nAnswer: 10*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose 0 = 2*m + d*f, 2*m = -3*m + 4*f + 18. Let n(o) = o**3 - 2*o**2 + 2*o. Let p be n(m). Solve -p*i - y + 3 = 0, 10 + 5 = -2*i + 5*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35489, 70978, 106467?\n\"Answer: 35489*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3563 + -3549 + (-2 - 55)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1 - 12)) + -35 + 13 + 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c - 2. Let d be j(-1). Is 3\/2 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115230 (base 6) to base 5\nAnswer: 311432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 2, o: 2, l: 2}. What is prob of sequence oov?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/(v\/v**(-2\/3)))\/((v**(-4\/7)\/v)\/(v**(-10)\/v)) assuming v is positive.\nAnswer: v**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8811*h**3*r + 38*h**3 + 3*h**2 + 1582*r + 6219 wrt h?\nAnswer: -26433*h**2*r + 114*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*q**3*s**2 - 28*q**3*s + 8*q**3 - 757*q**2*s**2 + 78*q*s**2 wrt q?\nAnswer: 114*s**2 - 168*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27659 + 3?\nAnswer: 27662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4314 + 4300. Solve -5*b = j*q + 21, -q + 3*b + 2 = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -0.08, 0.3 in decreasing order.\nAnswer: 106, 0.3, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -4*j**2 + 7*j - 17. What are the prime factors of m(-10)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h**5\/2 + 14094294*h**4 + 34452753*h**3\/2 + 3132069*h**2 = 0.\nAnswer: -1, -2\/9, 0, 1044023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uluumlmmlabubuub. Give prob of picking 1 u, 1 a, and 1 b.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -3. Let n = -1\/21 + -5\/21. What is the closest to l in n, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 33*f + 86. Let t be m(-30). Let q(g) = 5*g**2. Let i(p) = 11*p**2. Let v(z) = t*i(z) + 9*q(z). Let n(x) = 15*x. What is n(v(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 3*f**2 - 11*f + 8. Give y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 6, z: 2, e: 6, v: 3}. What is prob of picking 1 i and 1 n?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15168 (base 9) in base 8?\nAnswer: 24155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47540294 is divided by 2133.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:11 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455.44316 + -0.17316. What is y rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5199 = -4*q - 5177, 400 = -8*q - 22*j + 1284 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvvqvqqvqqqqvqvvvvv. Give prob of sequence vvqv.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 247741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 + 10 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/246 and 107\/51425712?\nAnswer: 2108454192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22*w + 16*w - 8*w - 50*w - 6*w - 12*w.\nAnswer: -38*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.29 + -0.29. What is the smallest value in 2\/5, z, -3, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + p**2 - 7. Let v be k(5). Let m = 4613\/4 + -1176. Find the common denominator of m and (-2)\/3 + v\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, -1876, -2, -4 in descending order.\nAnswer: 2, 0, -1, -2, -4, -1876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + (-5253)\/(-504). Let d = n + -33\/7. Let g = d + -403\/72. Which is the nearest to 1\/4? (a) -1 (b) g (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Solve 2*k + h = 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 40 = -3*x + 28, 0 = 3*n + 2*x + 43 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:55 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/27? (a) -3 (b) 3 (c) 0.07 (d) 113 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*t + 3 = t, -5*h - 5*t + 25 = 0. What are the prime factors of (9 - (-1 - h))*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 - 15 = 5*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1429 + -1429.1. Which is the closest to -2? (a) d (b) 0.2 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 7*r - 4. Let p be c(6). Let u = 250 + -252. Let a be u\/(-3)*4\/(-8). What is the closest to -0.1 in p, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1859*x. Let o(s) be the second derivative of -s**4\/4 - 544*s + 3. Calculate o(t(f)).\nAnswer: -10367643*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29078.5823 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -3\/2*w**2 + 1\/24*w**3 - 2*w + 1\/48*w**4 - 6. Factor h(a).\nAnswer: (a - 3)*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 92 = 3*u. Let n = u + -142\/3. Let o = -98.8 - -98.7. Which is the third smallest value? (a) n (b) -7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(3) + 2)*-1.\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112010 = -3137*c - 92373 + 228186 for c.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 - -191. Let a be (3*(-15)\/(-9))\/1. Suppose -5*f = 3*v - f + 10, -28 = -4*v + a*f. Solve v = p*s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0697 - 0.5?\nAnswer: -0.5697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssnusnn. What is prob of picking 2 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/12 - j**3\/3 + 25*j**2. What is n(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 2\/137 (b) -3 (c) -129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**2\/3 + 836*c\/3 - 2856.\nAnswer: -4*(c - 18)*(5*c - 119)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 - 484*w**4 - 9596*w**3 + 171460*w**2 - 554400*w = 0. What is w?\nAnswer: -88, -45, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*((-51080)\/95775)\/(1*1\/5)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyoryyykyqk. Give prob of sequence kyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(5465 - 3637 - 4816)*(3*j - 4*j + 0*j) + 0*j + j + j.\nAnswer: -2986*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12691 and 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4108.90989 rounded to the nearest ten?\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3745 and -83\/294.\nAnswer: 157290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 2432\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6 + 82 - 47 - 5*s. Give d(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -342225\/4*i + 6495\/2*i**3 + 3\/4*i**5 + 75465\/2*i**2 + 177957\/4 + 345\/4*i**4 = 0. Calculate i.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n - 17. Calculate the smallest common multiple of x(-7) and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 25. Let g = -7.2 - 6.3. Let x = f - g. Which is the closest to 0? (a) 2 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 236 = -2*n. Let u be (1 + -7)\/(-3) + 4. Calculate the remainder when n\/6 - (-2)\/u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2613 and 737.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 + 0 - 2\/5*m**4 + 2\/5*m**3 + 0*m.\nAnswer: -2*m**3*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1306*n - 1. Let r(i) = 4*i - 47557*i**2 - i + 47556*i**2 - 3*i. Calculate r(y(d)).\nAnswer: -1705636*d**2 - 2612*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3 - 1. Let k be 4 + (-2 - (i - 0)). Suppose 0 = -w + 1, -3*f = -4*f + 5*w - k. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163*y - 1163*y + 11010*y**2.\nAnswer: 11010*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113642 by -2.\nAnswer: -56821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 30. Factor -5*v + 26*v**2 + v + 8*v**3 - q*v**2.\nAnswer: 2*v*(v + 2)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**3*u**4 + 4*f**3*u - 31*f*u + 29*u**4 wrt u.\nAnswer: 132*f**3*u**2 + 348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 7:05 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/6)*(-21 - (-14326)\/684)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(55)\/sqrt(11) + -3))**2.\nAnswer: -216*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2914751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:11 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*1*-1)\/(sqrt(864) + -1*sqrt(864) + sqrt(864)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 2*g = -17*n + 18, -n + 3*g - 13 = 0. Suppose 2*f = -8, -4*r + 32 = -3*f - 0*f. Solve o - r = -n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 130406*y - 28. Suppose 3*q = 3 + 54. Let s be m(q). Let t = s + 12314. Round t to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 10) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - (-4*sqrt(13)*1 + sqrt(13) - sqrt(13))) + (sqrt(13) - ((-2 + sqrt(1573))**2 - sqrt(13) - sqrt(13))) + -1.\nAnswer: -1578 + 57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 156 = 3*q - 5*g, -4*g - 12 = 0. Suppose 0 = -v - 3*x + 67, 3*v + 0*v - x = 161. Let l = q + v. Let z(a) = -a**3 - a**2 - 2*a - 2. Determine z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -3.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(102) + 1*sqrt(102) + sqrt(102)))\/(sqrt(6) - (sqrt(600) + -2*sqrt(600) + sqrt(6))).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(3\/5)\/a))*a**(-3))\/(a**(-2\/11)\/a*a\/a**3))**(-36) assuming a is positive.\nAnswer: a**(432\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628 = 43*r - 45*r. Let v = r + 356. Calculate the remainder when v is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**5 - 410*f**4 + 19958*f**3 + 108570*f**2 + 88200*f = 0.\nAnswer: -4, -1, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 11*q + 10. Which is the nearest to -1? (a) q (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-7 + 26)) + (6 - 19) + -33.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150890597 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)\/sqrt(7) + (sqrt(90)\/sqrt(6))\/sqrt(5))**2 + ((sqrt(3)*3 + -1)**2 + sqrt(3))*4 + 1.\nAnswer: -20*sqrt(3) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 5 + 5 + -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/27, 3, -11?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96699694?\nAnswer: 2, 7, 13, 487, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341 and 21903?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**2 + 47340152*z - 94680288 = 0?\nAnswer: 2, 11835036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1433*-560018\nAnswer: 802505794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {s: 2, k: 2, i: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37482 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 2\/13, 10, 1, -0.04?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 38*h + 7. Let x be o(-19). Suppose x*u - 601 = 400. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * -128765.\nAnswer: -309036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236616 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((y + 1 - 1)*(0 - 2 + 3) - 3*y - y + 5*y + 74*y + 1749*y + 432*y)*(-2 - 2 + 2)*(4*y + 4*y**3 - 4*y) to c*y**4 + b*y + i*y**3 + a + g*y**2 and give c.\nAnswer: -18056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v**2 + 10*v + 6. Let y(x) = 5*x**2 + 3*x + 2. Suppose 0*d - 5*d - 17 = 2*s, -4*d = -4*s + 36. Let f(t) = s*o(t) - 11*y(t). Factor f(i).\nAnswer: (i + 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o + 1. Let c be t(5). Let g be 0 - ((-30)\/(c - -1))\/1. Is g <= 27\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 55 + 3*f**3 + 2*f**3 - 55 to the form s + y*f + b*f**2 + g*f**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 847 + -845. Put 3, 8, u, 4 in decreasing order.\nAnswer: 8, 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 73*t**2 + 82*t - 734. Calculate d(72).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -14*l - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = -10. Let y be -25 + 47 + (-4 - 15). Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*c - 176. Let t = 11 - c. What are the prime factors of (-1246)\/t - (-2)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 1882*b**3 - 1826*b**3 + 0*b**2 to the form k + r*b**3 + y*b**2 + j*b and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Suppose 5*k - 3*h + 347 = -31, -2*h + 77 = -k. Let y be (130\/k + 2)\/(56\/(-20)). Put -0.2, f, 3, y in ascending order.\nAnswer: -0.2, y, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-25)*5 + 2. Which is the closest to -1\/4? (a) -3 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-16))**(2\/31)*(y*y**(-7))\/y**(16\/5) assuming y is positive.\nAnswer: y**(-1576\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262484621120 - 2*m**2 - 262484621120.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 - -3)*5)\/(31\/62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 12:29 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 23 = -4*k - 2*b, 5*k + 2*b - 45 = 0. Let p(v) = 3*v**2 - 2*v. Let g(f) = -731*f**2 + 6*f - 926*f**2 + 1648*f**2. What is k*p(j) + 4*g(j)?\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (17 + 13 + -34 - -85).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431774.\nAnswer: 2, 3, 17, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 631849 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.2061 seconds to nanoseconds.\nAnswer: 464206100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00889 - -0.031114. Let a = 0.7 - 0.74. Let m = u + a. What is m rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/60*((-12)\/(-9))\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -33*a**3 + 8*a**2 + 17*a + 89. What are the prime factors of i(-8)?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11788247819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 250319093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpzwebkkb. Give prob of sequence bp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let o(k) = k**2 - 7. What is y(o(w))?\nAnswer: -2*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 26*l + 24. Let t be j(-12). Suppose 3*m - 2*o - 18 = t, m - 12 = -m - 5*o. Solve -3*h - 3*h = m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.1 + 70. Let i = -1.94 - 0.06. Which is the closest to j? (a) -2\/3 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, -495.5?\nAnswer: -495.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 7*o - 3. Let l be q(-6). Let p = l + -1. What is the first derivative of -x**4 + 2 + 5*x**4 - p*x**4 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-8) - (-2)\/8. Let h be 0 + 0 + 157 + u. Calculate the common denominator of -127\/18 and (-20)\/(-42)*h\/(-16).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 5. Let p(u) = -u + 2. Calculate -9*p(g) - 4*y(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37106 - 47510 - 192152 = -2564*h for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 - (3 - -3). Let n be a - (-6 - (-4 - -1)). Put 4, 3, n in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a - a + 2*a. Let w(p) = 4*p**2 + 24*p. Let f(s) = -24*c(s) + w(s). Let v(h) = -2*h**2. Determine f(v(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/20 + y**4\/6 - y**3\/2 - y**2 + 2*y. Let k be c(-2). Solve -k*t = -t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**3 - 5*g**3 + 5*g**3 + g**3 - 3*g**3 - 2*g**3 + (1 + 2*g - 1)*(-g + g - 2*g**2) - g**3 - 3 + 3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 3, r: 3, n: 6, t: 3}. What is prob of sequence ww?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/40 + 0 + 1742\/(-70). Let g = -13091\/518 - w. Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*j**4 + 412*j - 4 + 9786*j**5 + 5 + 95*j**4 - 9784*j**5 wrt j.\nAnswer: 40*j**3 + 1992*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 41*z**2\/2 - 9*z - 47. Let c(f) = 82*f - 18. Let t(o) = 6*c(o) - 13*m(o). Differentiate t(u) wrt u.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307711\/177 + 5216\/3. Let y = 157\/1475 - t. What is the biggest value in 5\/6, y, -6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/5*12\/(-3552)*-4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 greater than or equal to 992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let l(s) = -5*s - 17. Let z(d) = -l(d) + 6*p(d). Let u be z(6). Suppose -18*y + 1209 = -u*y. What is the remainder when y is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-27))\/((-3)\/(-18)). Which is the closest to -7? (a) 0.3 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(200) + sqrt(2)))**2.\nAnswer: -704*sqrt(2) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-8) + -2)*4. Suppose -4*i - 5*b = -281, 202 = 3*i + b + b. Let p = i + -68. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*p - 1729 + 1766, 5*j - 5*p - 365 = 0. Solve 38 = 35*u - j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {b: 7, k: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.054 and -1251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n**2 + 1202*n - 90. What is q(-43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 4 + -18 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 + 3.74. Let b(w) = -5*w - 29. Let r be b(-5). Let k = -22\/17 - -139\/68. Put x, 2\/3, r, k in increasing order.\nAnswer: r, 2\/3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 6 + 7)*(2*g - 2*g - 2*g**4) to the form f*g**3 + h*g + o + c*g**4 + v*g**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -13*g**3 + 21*g**2 + 0*g + 0 + 1\/30*g**5 + 35\/24*g**4. Differentiate d(z) wrt z.\nAnswer: 4*z + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -667, -1499, -2709, -4327, -6383, -8907, -11929?\nAnswer: -15479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 10*g + 24. What is the remainder when 4 is divided by l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-37)\/(r*r\/((r\/(r**(2\/9)*r))\/r))**17)\/((r\/((r**(2\/7)*r)\/r))\/r**1*(r*r**(-2\/5))\/((r\/((r**(1\/5)*r*r)\/r))\/r)) assuming r is positive.\nAnswer: r**(-29387\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 73*q + 1\/30*q**6 - 1\/20*q**5 + 0 + 0*q**3 + 0*q**2 - 1\/6*q**4. Factor v(y).\nAnswer: y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66945.4 rounded to the nearest 100?\nAnswer: 66900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 669155 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 12*p**3 + 37 - 3 - 1672*p**2 - 38 + 3*p.\nAnswer: 12*p**3 - 1672*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 4*d + 4. Let x(m) = 4*m**2 + 5*m - 5. Let i = 173 - 166. Suppose -3*t + i*t = -20. Let j be 8\/(-2) + -1 + 1. What is j*x(v) + t*l(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -53, -80, -107, -134?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -189 (b) 0.5 (c) 0.53 (d) -1\/5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25679\/51384 - -13\/51384. Factor 0*q**2 - 13\/2*q + 6 + j*q**3.\nAnswer: (q - 3)*(q - 1)*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7083 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-4)\/(-136) + 101695\/1309 + (-39)\/(-91)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 + (-158 - (-79 - -25)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4125, 8331, 12607, 16953?\n\"Answer: 35*z**2 + 4101*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Suppose -62 = -3*h + 85. Let s(q) = -h*q - 54*q + 99*q. Determine s(u(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2544.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237443877 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/20*4*(0 + 0). Suppose 4*h + 2*i = 3*i + 233, p = 3*h - 3*i - 186. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - 4*q + 2*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 31375562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(396) + -4 + 1*sqrt(396) + -5*(0 + sqrt(396) - sqrt(396) - sqrt(396)) - 1*(sqrt(396) + 0)*-4)*1)**2.\nAnswer: -528*sqrt(11) + 47932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025114086 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6585.7612972 - -366387.2326872. Let j = -360024.47 + d. Let r = j - -223. Round r to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16))\/(11\/(143\/(-39))).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 11. Let t be u(-7). Let a be (-42)\/((2\/8)\/((-3)\/t)). Factor -8*v**2 - 12*v**2 - a*v + 42*v**2 + 12 - 14*v**2.\nAnswer: 4*(v - 3)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2763*z + 1375*z + 6*z**2 + 1388*z - z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from {v: 3, r: 1, u: 4, g: 1, z: 5, b: 3}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 6, 5*a - 3*n = 5 - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116284 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 274274469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6759515*t. Let d(n) = -29*n + 2. What is d(q(a))?\nAnswer: 196025935*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*j + 665*j - 5841 = 5859 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0 - 2*d)*(5*d - 12 + 12).\nAnswer: -10*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 13) to base 12.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 17. Let f = -5 + 7. Let a be 8*(-3)\/((-6)\/f). What are the prime factors of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1525, 1524, 1521, 1516, 1509?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*r - 4*m, r + 5*m - 10*m = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (16389\/10926)\/(2\/1*(-3)\/188)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*f**4 - 160*f**4 + 1652*f**3 - 54*f - 5891663 - 3636*f**2 + 2*f**5 + 5897117.\nAnswer: 2*(f - 101)*(f - 3)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40620136 + 0?\nAnswer: 40620136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -q + 11, -5*z + 6 = -2*q - 8. Let k be (-12)\/(-16) - 2\/(-8). Let y be 28\/(-13) + 8\/52. Sort k, y, z in increasing order.\nAnswer: y, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2760 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 6*j - 7. Let z(r) = -r - 3. Let l be z(-6). Let v = l - 10. Let g be p(v). Round g to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 57*u**2 + 138*u - 1484. What is p(55)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 - -319. List the prime factors of o\/(-21)*1455\/(-10).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 5:16 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 + -67. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o + 29*o - 35*o + 24*o**3 + 43*o.\nAnswer: 24*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52366080 by 80.\nAnswer: 654576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-3)\/(-6) - -6. Let s = a + -2. Suppose -3*d - 3*y = -3, -5 = 4*d + 3*y - 12. Solve l + 4 = s*h + h, d = 2*l + 4*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.4, 7091, -1\/2, -3 in decreasing order.\nAnswer: 7091, -1\/2, -3, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -1381, -3111, -5533, -8647, -12453, -16951?\nAnswer: -22141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 8*k**2 + 8*k + 18. Let r be h(6). Let m(g) = -148*g**3 - 9*g**2 - g - 1. Is m(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + d - 283 - 560 = 0, 2*d + 213 = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*z + 29, 22 = -4*a + 4*z + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3395 = -51*d + 2885 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 918146197 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11982*o + 12029*o - 752 = 0. Let t(u) = 2*u - 43. What is t(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 111*o + 26*o - 145*o - 1.\nAnswer: -8*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 16*o - 0 + 2. Let q(h) = h**2 + h. Let v be q(1). Let i(s) = -4 + 7*s**v + 0 - 2 + 5. Give i(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.193 and 178187348.\nAnswer: 178187350.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*g**2*j**2 + 8*g**2*j + 864*g**2 - 26163*g*j**2 - 2*j**2 - 8 wrt j.\nAnswer: 164*g**2 - 52326*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(3520) - 5*sqrt(3520)*-2))\/((sqrt(180)\/(sqrt(18)\/sqrt(3)) + sqrt(30))\/((sqrt(54)\/sqrt(3) + sqrt(18))\/sqrt(3)))*6*1)**2.\nAnswer: 12266496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*((-24)\/(-9) - 221\/102)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + ((-24)\/(-18))\/4. Which is the nearest to -1? (a) 1 (b) l (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 0*o + 4*o - 9*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-2 - 3) + 2. Let f be (-2 + 2 + u)\/1. Solve -l - 8 + 3 = f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(68) - -4*sqrt(68)*-6 - (sqrt(68)*4*4 - ((sqrt(68) + sqrt(68) + -4)*1 + sqrt(68))))**2.\nAnswer: 288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 7*f**5\/20 + f**4\/12 - f**3\/6 + f**2\/2 - 2*f. Let o be z(1). What is the greatest common factor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(42))\/sqrt(3))\/sqrt(7) + -2 + 5 + -5*-1*(3 + sqrt(2)*2*3).\nAnswer: 18 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 7*h**2 + 7*h - 3. Let q be k(4). Let n = q + 52. Let s(m) = 63*m - n*m - 37*m + 2 + 2*m**2. What is s(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21685 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - 2*f - 1. Let n be k(-1). Let b = n + 4. Factor 0*c**4 - 3*c**b + 3*c**3 + c - c**4 + 0*c**2.\nAnswer: -c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 10 in descending order.\nAnswer: 10, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 637*o**2. Let t(p) = p**2 + 12. Determine q(t(l)).\nAnswer: 637*l**4 + 15288*l**2 + 91728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4430 divided by 5?\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let k(a) = 2*a. Determine -k(o) - 12*n(o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2 - f + 2*f + 7*f**2 - f**2 - f**3. Let y be l(6). Let v be 204\/21 - y\/(-14). Solve 3*m = 1 - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151544709 and 3348.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -27*r + 9*r. What is the nearest to r in -3\/13, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/(-6))\/9 + 18\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 999087 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**5 - 2*j + 2*j + (3 - 2 - 2)*(3*j**4 - 3*j**4 - 2*j**4)*(-6*j - 4 + 4).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13421611?\nAnswer: 7, 1917373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from aaaaawaawwaa?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -30*i + 4. What is the units digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19334.1 to the nearest 100.\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3)*(-321)\/(-9095))\/(2\/(-5))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**4 + 4*d**3 + 27. Let s(f) = 144*f**4 - 45*f**3 - 297. Let a(l) = -45*c(l) - 4*s(l). Differentiate a(q) wrt q.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 18 = -y - 14, y + 8 = -2*m. Solve x - 2*x - 1 = y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1758 and 93.\nAnswer: 54498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/156 and -37\/143?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1847 - 1239. Suppose t - 5 = b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266586328?\nAnswer: 2, 3, 31, 3046487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/153)\/(16\/96)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**2 + 0*c**3 + 0 + 31*c + 0*c**5 + 5\/8*c**8 + 0*c**7 + 5\/2*c**4 + 0*c**6. What is the third derivative of p(r) wrt r?\nAnswer: 4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 - (48332\/(-112) - 6). Let h = x - 442. Find the common denominator of h and 97\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10881 + -1 - 0\/(-12). Suppose -u - 33*u = -k. Suppose -3*q - 128 = -7*q. What is the highest common factor of q and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 + 2*b - 2. Let p be s(3). Let u be p\/(-15) + 1\/(-1). Suppose 0 = 5*v - 3*t + 1, 0 = 4*v + 5*t - 9*t + 4. Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -114251?\nAnswer: 114251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*g + 143 = 0, 5*d - 3*g + g + 173 = 0. Let t = d - -44. Suppose 16 = -t*o + 268. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/728 and 149\/2952.\nAnswer: 268632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 26. Let g be b(14). Suppose 208 = -4*t + g*t. Let q = t + -20. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 3*h - 3. Let q(p) = 9*p**2 + 7*p - 7. Suppose v - 15 = -1. What is v*r(w) - 6*q(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2094 - 2094 - 107*b + (-5 - 3 + 5)*(4 - b - 4))*(-3*b**3 + 5*b**3 - 3*b**3) to c*b**3 + y*b**4 + u + q*b**2 + d*b and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 9:06 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63610845071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2323 + -2324. Which is the nearest to x? (a) 0 (b) -0.1 (c) 0.4 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-470)\/(-9635))\/(85\/205)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 - 51015*f**3 - 51000*f**2 + 204060*f + 204048 = 0.\nAnswer: -17004, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2369, -2378, -2407, -2468, -2573?\n\"Answer: -2*h**3 + 2*h**2 - h - 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from bbgbbrfjgjbbsjbrjgjb.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 65) + (2 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -18*k + 45. What is the remainder when 31 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 679 + 678 = b, 5*v - 11 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1853 and 1744.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2522? (a) -2 (b) -0.4 (c) 5 (d) -0.0601 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16*-7*-24. Let a = i + -39. Let u = 4 + -2. Solve -u*x - 2*o + 1 = -5*x, a*x + 21 = -3*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j + 3*s - 26, 0 = -2*j + 4*s + 54. Let w = j + -7. Suppose w*h - 7*h - 25 = 0. Solve -4 = v, -3*y + 2*y = h*v + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*o + o - 110, -o = 5*p - 125. List the prime factors of (-1 + 3)*p\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 12 = 2*q + 8*l, -2*l = q - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 47, -0.3, 2, 0.3?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349558 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 2*l - 2*l - 1. Let d(y) = -6*y**2 + 15*y + 12. Let c(u) = -d(u) - 15*t(u). Calculate the remainder when c(-2) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864501234?\nAnswer: 2, 29, 61, 526993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 640, -3, 3, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k - 29. Let g(j) = -6*j - 14 - 21 + 5 + 0*j. Let x(b) = -3*g(b) + 2*w(b). Give x(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 + 72832 = 2818*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12316 is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((114\/3)\/2). Let p = 928 - 923.9. What is the third smallest value in t, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1 - 8*x**2 + 13*x**2 + 2*x**2 - 6*x**2. Let v(c) = c. Let s(l) = a(l) - 3*v(l). Give s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 1141 - 1582 + 781 + 911*w + w**2 + 570 = 0.\nAnswer: -910, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77210.883ns to hours.\nAnswer: 0.0000000214474675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - 54*x + 21. What is a(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -10885?\nAnswer: -4\/10885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 27206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5 - 5. Let a = -7 - -11. What is the remainder when a*(38\/8 - 0) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*b - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -739 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 203, 125, -11, -211, -481?\n\"Answer: -x**3 - 23*x**2 - 2*x + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 659 + -662. Which is greater: 26 or t?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17803597 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 402 - 447. Does 10 divide 175448\/130 - 3*6\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -7 - 1) + -16 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let f = z + -6. Let t = -8 - -8.4. Which is the nearest to -0.1? (a) t (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 661918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*t - 4*t**2 - 54*t + 3*t - 3*t - 2*t**2 + (-2 + 2 + t**2)*(-4 + 2 + 3).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd - b?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 30*z + 90. Let b be h(-3). Solve b*j = -4*j + 5*x - 7, -5*x + 23 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(4 + -2)*2. Find the common denominator of ((-9)\/15)\/(c\/230) and -31\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/17 + 524*z**2\/17 - 34840*z\/17 + 67600\/17 = 0. Calculate z.\nAnswer: 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 197430?\nAnswer: 1579440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2627208um?\nAnswer: 0.0002627208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j**2 + 8 - 8 to o + l*j**2 + p*j and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 312436.85.\nAnswer: 312436.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 52 = 6. Suppose 3*b - 5*z + 35 = 84, -y*b + 4*z = -36. Solve -b*p = -13*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:07 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 995 - 10*v + 7*v - 9*v + 177.\nAnswer: -16*v - 818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18 - 18\/(-81)*-22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 + p - 1. Let o(w) = 14*w**3 + 5*w**2 + 15*w - 5. Let s(l) = 5*i(l) - o(l). What is the second derivative of s(t) wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42512*b**2*d**3 - 2*b**2*d - 9*b**2 + b*d**3 + 59*b + 15*d**3 + 13*d wrt b.\nAnswer: 85024*d**3 - 4*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 19 = -2*u. Suppose -1332 = 3*p - u*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-22)\/(-55))\/(8\/4820)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 14195817.\nAnswer: 14195817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**3\/3 - 2. Let y be 13\/3 + (-1)\/3. Let q(h) = -h + 0*h + y*h. Give q(a(n)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -892.647003 plus -2437?\nAnswer: -3329.647003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683*z + 690*z - 3283 = 0. What is the remainder when z is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 6:14 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40846386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**6\/3 + 2*s**5\/5 + s**4 - 414. Find g such that o(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5284165 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 266 (c) 3\/4 (d) -0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42147 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 2:09 AM?\nAnswer: 382","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 1. Let y(w) be the second derivative of -3*w**4 + 5920*w. Determine l(y(f)).\nAnswer: 72*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5 = 17. Let f(m) = m**2 + 10*m + 2. Let y be f(-10). Let s = l + y. Solve s + 2 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274610, -274806, -275002, -275198?\nAnswer: -275394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72988971 - -1174721.\nAnswer: 74163692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 188 = 4*t + 5*v, 4*t - v - 298 = 0. Suppose 79*w = t*w + 15. Solve -w*z = -6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 3. Suppose 2*b - 4*v = -8*v - 12, 5*b - 3*v + 30 = 0. Let z(w) = 5*w - 3. Determine b*z(o) + 5*h(o).\nAnswer: -5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - i + 34. Let k(l) = -4*l**2 - 163*l - 120. Let w be k(-40). Calculate f(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52b00 - 3?\nAnswer: -52b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**2 + 54*c - 7. What is g(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offssofyfyfyyasatyy. What is prob of picking 1 y, 1 f, 1 s, and 1 a?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*m - 9711591 = 15*m - 121*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(5*24\/(-7440))\/((-2)\/(-4)*1)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21856928539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*z + 17. Let g = z + 7. Suppose 4*j + g = 12. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 32 = 2*r. Suppose -h - 3*h + r = 0. Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + -4. Let i be 5*((-1)\/1 + 0). What is the nearest to 0.1 in i, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 f when four letters picked without replacement from fdzffdffufu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzzzzzzzzazzz. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j**2 - 3*j**2 - 142*j + 1 + 148*j. Let g be x(5). Let z = g + 631. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 139.06401 months?\nAnswer: 0.0115886675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/5, -5, -3\/8, 2\/21?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3. Let p = 3 - 3. Let m be h(p). Let s = 52 - 470\/9. What is the nearest to 0.2 in m, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*y + 55 = 0, 1746*f - 1745*f - 3*y + 44 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/13))\/y**(-15)*((((y*y\/(y**18\/y))\/y*y)\/y)\/y)**(2\/23) assuming y is positive.\nAnswer: y**(4388\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0719? (a) 1 (b) 0.4 (c) -3262 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - 17. Let r be ((-3)\/(-6))\/((-14)\/4). Let w = -11\/21 + r. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3 = 3*s. Let z be (2 + s)*(-8)\/(-3). Suppose -9 = -3*a + 5*i - 2, 4*i = 5*a - 16. Calculate the highest common divisor of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253800113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113340 and 34002?\nAnswer: 340020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.33655um to meters.\nAnswer: 0.00005333655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -6*x**2 - 1\/6*x**3 + 0*x**4 + 0 + 0*x + 1\/60*x**5. Let m(r) = r**3 - 3*r**2 + 2. Give -m(g) - u(g).\nAnswer: -g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -44) + (-54 - (47 - 31)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t + 2*l + 72, 5*l + 15 = 0. Suppose -2*n - 2*k + t = 3*k, 106 = 2*n - 4*k. Let o = n - -14. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1574\/68241 + -4\/529. Let m = -41\/129 - q. What is the nearest to -1 in m, 4, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 171?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - z + 11, -2*g + 4 - 5 = -z. Let c be (190\/15 - 2\/(-6)) + -3. Calculate the greatest common factor of c and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-20)*6590\/(-2636)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 32. Calculate the remainder when 123 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11 - 32 = 3*b, -3*n - 2*b = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = -2*t, 5*i + t - 3 = 3. Let y(q) be the first derivative of -1\/6*q**3 + 1\/2*q**i - 1\/2*q - 1. Determine k, given that y(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 739.8118ml?\nAnswer: 0.7398118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -670, -822, -974, -1126, -1278?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7302468 (base 9) in base 6?\nAnswer: 215323142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 12\/5*m + 3\/5*m**2 + 12\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {d: 5, t: 3, p: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 + 6*p + 3. Let h be x(-6). Suppose -10 + 25 = h*q. Suppose 85 = q*z - 0*z. Calculate the remainder when 49 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 22 = 47. Let k(j) = -c*j + 3 - 5 + 1. Calculate the remainder when 72 is divided by k(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 4. Let p be w(-5). Let f(a) = -a**3 - 16*a**2 - 16*a - 4. Let d be f(-15). Put d, p, 4 in decreasing order.\nAnswer: d, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177847 divided by -4\nAnswer: 177847\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.28 (b) -5 (c) 339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2896 - 20274\/7. Let u = 1 + -1.1. Let g = u - -0.3. Which is the nearest to 0.04? (a) -4 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7462 - 7553. Is -123 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 214.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 17520 = -5*l - 17471, 4*l - 3*a + 60 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.76 - 60.7. Let u = g + 10.5. What is u rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -513, -1020, -1527, -2034, -2541, -3048?\n\"Answer: -507*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2767, -5603, -8439, -11275?\n\"Answer: -2836*a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwy when four letters picked without replacement from oowywwywowoyo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6080 - 6080 - 51*v.\nAnswer: -51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/27*(6\/(-2) + 6). Let r = -979.88 + 980. What is the second biggest value in n, 1\/3, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -234 + 231. Sort -4, f, -3\/2, 1\/11 in ascending order.\nAnswer: -4, f, -3\/2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t**4\/13 - 490*t**3\/13 - 558*t**2\/13 + 1242*t\/13 - 432\/13 = 0. Calculate t.\nAnswer: -8, -3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 9 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-35)*7\/(-3)*36\/210. Which is the nearest to 0? (a) l (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1*(8 + -9). Suppose 7*z - u - 41 = 0. Suppose -4*p + 6*p + z = 0, -p - 18 = -5*w. What is the nearest to 0 in -2, w, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 > 588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260026308*w**2*x**2 + 8033*w*x**2 - w*x - 46*x**2 + 2*x - 1 wrt w?\nAnswer: -520052616*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9760000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 95519655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 + 9*h**2 + 9*h + 7. Let o(l) = -15*l**3 - 18*l**2 - 18*l - 15. Let w(s) = 9*i(s) + 4*o(s). Let w(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 31) + -13 + (0 - 0) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.87 + 0.13. Let j = 3045 - 3045.2. Are x and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 2 (c) 23 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -780833 (base 9) to base 8.\nAnswer: -1617115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3\/5, 3\/7, 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = 0, 0*l + 3*l - q + 2 = 0. Find the common denominator of 79\/6 and 3 - l*(-22)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -111. Suppose u = g + 2*l - 135, 3*g + 10*l - 397 = 6*l. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 7. Let f be o(-11). Let y be (-74)\/f + (-4)\/8. Suppose -a + y = n, 3*n = 2*a + 23 + 36. Solve 0 = -5*t + 4*w - 3 + n, 2*t + 12 = -3*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2709510 is divided by 5121.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -739 - -1451\/2. Let u = o + 137\/10. What is the second biggest value in u, 0.5, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/(l*(l**(2\/5)\/l)\/l*l*l*l))\/l)\/l))**(2\/7)*l**2*l**1 assuming l is positive.\nAnswer: l**(149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 10. Let j(a) = 3*a**2 + 1. Let l be j(r). Solve 3*v - l = -1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*x + 475 = 43, 4*r - 358 = 3*x. Calculate the remainder when r is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, 848, 1\/7, 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {i: 2, k: 3, r: 1, h: 6, c: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/36 - 11*f**5\/45 - 13*f**4\/9 + 8*f**3\/3 + 34*f**2. Factor n(x).\nAnswer: 2*(x - 6)*(x + 2)*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 3\/(-6)*2. Let w = -1.1 + 3.1. Let h = 3 + -11\/4. What is the closest to i in 1\/3, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c + 11. Is 12 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/10 of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = -19*l - 9*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -9 + -10 + (4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:40 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -374*r**3 - 26173*r**2 - 457660*r + 8575.\nAnswer: -(r + 35)**2*(374*r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a factor of 18432796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q + 14*q - 53*q + 21*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. Find o, given that -2*o + 1 + 0*o**3 - 36*o**4 + 35*o**4 + k*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 - 1866\/11. Find the common denominator of 10\/47 and z.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/(-5))\/(4\/(-20)) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 2. Let c(k) = -9*k**2 - 82*k - 73. Let w(v) = c(v) - 4*u(v). Factor w(q).\nAnswer: -(q + 1)*(q + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48368 and 15115.\nAnswer: 241840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.6201km in nanometers?\nAnswer: 221620100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7.3. Let m = -0.7 + u. What is the nearest to m in 2, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8430525 divided by -801?\nAnswer: 10525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 6, h: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(32) - (-2 + sqrt(26)\/sqrt(2) - sqrt(13))) + 2)**2.\nAnswer: 4*sqrt(13) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.051 + -1.949. What is the closest to 0 in v, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1035*w**2 - 559*w. Let n(z) = 1552*z**2 - 837*z. Let c(y) = -8*k(y) + 5*n(y). What is the second derivative of c(o) wrt o?\nAnswer: -1040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25306 or 25313?\nAnswer: 25306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 9*o + 31*o + 11*o to the form w*o + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = 2*r, -2*r + 3*r - 25 = -5*t. Solve 0 = 2*q + q - r*l + 2, -2*q - 4*l = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4321, 4323, 4325, 4327?\nAnswer: 4329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -920 + 919. Let i be (-2)\/(-3 + 2) + 0. Which is the closest to 1? (a) i (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-768)\/11712)\/((-270)\/915). Find k such that 2\/9*k**2 - 82\/9*k**3 + 0 + 70\/9*k**5 + 4\/3*k - h*k**4 = 0.\nAnswer: -1, -2\/5, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546245993 less than -0.03348?\nAnswer: -546245993.03348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 38*y**2 + 59*y + 7. What is h(39)?\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*i + 11, -7 = 3*v - i. Let z = -1 + v. Does 6 divide 42*2*z\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(252) - sqrt(252)) + -4 + (sqrt(7) - (5 + (sqrt(7) - sqrt(7)*2))) + -2 + -3)**2*4.\nAnswer: -224*sqrt(7) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) 11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) 31.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, -0.1, -4, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -95673 (base 10) in base 12?\nAnswer: -47449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 4*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3429.8 minus 766671816?\nAnswer: -766668386.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-4) + (-1)\/(-2) - 6. Let x(j) = -6*j + 3. Does 11 divide x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -25. Which is greater: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1\/(42\/294).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2045.6 - -2046. Which is the second smallest value? (a) -1.4 (b) p (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -1.\nAnswer: -26, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 - -1993\/11. Sort 3\/4, f, -5 in decreasing order.\nAnswer: 3\/4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(19*s + 44 - 44).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/121632 and -11\/48?\nAnswer: 121632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y, 3*c = 3*y - 8 + 119. Suppose 7*t = 3*t - c. Let l be 1 - 2\/5 - 4\/(-10). Sort 3, t, l in descending order.\nAnswer: 3, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 56*p + 1871. Calculate o(-32).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.8 + -26.8. Which is the second smallest value? (a) q (b) -37 (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17524 - 17521. Sort 28, 0.1, 3\/7, r, 2\/3.\nAnswer: 0.1, 3\/7, 2\/3, r, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:00 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 5141312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56435, -56439, -56443, -56447?\n\"Answer: -4*m - 56431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -37, -1.\nAnswer: -37, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -898*t - 19. Is c(-1) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540943839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.3 (b) -4 (c) 464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1638893 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(170)\/(sqrt(40)\/sqrt(4)).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 11*a + 21. Let s be k(9). Let d be 138 - (-3 + -2 + s). Suppose 3*u + 0*n - d = -5*n, 3*n - 150 = -3*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 17. Let j be g(-4). What is the highest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzddddzdlzud. Give prob of picking 1 u, 1 d, and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 4*z - 9 = 17*b, -2*b + z + 16 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3 + 30. Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6) + (-21)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 117 = -82. Solve -l - 1 = -2*f, l - 4*f + 20 = t*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-3))\/(-1 + 26\/6 - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Let y be 0 + 1 + 0 + (2 - 0). Suppose -y*c + 4*g - 6 = 0, 0 = 3*c + 5*g - 24 + 3. Solve -c*s = -s + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 - 4396*o**2\/5 - 89950*o + 180604\/5 = 0?\nAnswer: -277, -163, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2 = -2*y, 29 - 12 = -3*y + w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6541 + 6545 + 1755*p**2 - 13086)*(2 + 2*p**3 - 2).\nAnswer: 3510*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -0*u. Let g = 16825 + -16831. Sort g, u, 1 in increasing order.\nAnswer: u, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1144)\/429)\/(7*10\/(-2940))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 5. Let j be (-6)\/(-45) + r\/60. Suppose j*w = -w + 49. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (4 - (-2 + -3)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000476843 rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -1 - (-5 + -3). Let x be (17\/34)\/((-2)\/(-112)). What is the highest common divisor of p and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ttyfqttqftfty.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 19*l**2. Is 14 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10 + 2*t - 2 - t. Let f be b(-9). Let g = f + 1. Do g and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2 + 2)*(x - x - 2*x**3) + ((5*x**2 - x**2 - 5*x**2)*(0*x - 3*x + 4*x) + x**3 + x**3 + 2*x**3)*(-34*x + 0*x + 201*x).\nAnswer: 495*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*b = 108*b + 200. Suppose 0 = d + 43 - b. Sort -20, -5, d in ascending order.\nAnswer: -20, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 186\/(-30))\/((-5)\/(-600)*8). Solve -x + 6 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 12376 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28293 + 28347. Solve -96 = n*j - 366 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37600885*r - 47017078 wrt r.\nAnswer: 37600885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7470.651 millimeters?\nAnswer: 0.007470651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2))**(22\/3)*(y**1)**(-37) assuming y is positive.\nAnswer: y**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6364.\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 3*h - 4. Suppose -5*w + 6*w = -3. Let b be m(w). Suppose 58 + 52 = b*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 5*u**7\/14 - u**6\/30 + 37*u**4\/4 - 6*u - 13. What is the third derivative of t(n) wrt n?\nAnswer: 900*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-4) + (-1)\/(-4). Suppose 2*w = -w + 824 - 812. Solve 3*u = 3*k - 2*k, -w*u + o*k = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 377*h**2 - 13*h + 10. Let p(r) = 2*r - 2. Calculate k(i) + 5*p(i).\nAnswer: 377*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-5)\/(-2))\/((-6)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 2*n - 3. Let j be m(3). Let w = 8 + j. Suppose 0 = w*l - 79 + 9. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 3*i + 1. Let c be q(-3). Let z = c + -113\/4. Let f be (-40)\/45 - (-4)\/6. What is the second biggest value in z, f, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62802 + -93912. Round g to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 62 = -4*a - 41*o + 5, -2*o = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18916866223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let a(p) = -2*p + 5. Let c be 0\/(-1) + 2 + 4. Let w be (-1)\/(c\/(-9) - -1). Let m(b) = b - 3. Let x(n) = w*a(n) - 5*m(n). Determine x(f(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 8. What is the least common multiple of 10 and k + -1 + 2 + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013643598 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4.6*79\nAnswer: 363.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3646, -3645, -3644?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 minus -0.07?\nAnswer: -98.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136156 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -5, -17.6, 2\/9, 3.\nAnswer: -17.6, -5, 0.2, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 252 (base 7) to base 12\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*l**2 - 379*l**2 + 194*l**2.\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ggggzgz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/5)*o*o\/(o\/(o\/o**(-1)))*o**4\/o**6 assuming o is positive.\nAnswer: o**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7099.983 millilitres in litres?\nAnswer: 7.099983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*y - 4, 42 - 14 = 4*y - 3*g. Let n(v) = 4*v - 2. What is n(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 16*j**2 + 17*j + 6. Let t be v(-15). Let x = t + 44. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25335881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57726946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/30 + o**4\/12 + o + 1. Let x(l) be the first derivative of d(l). What is the third derivative of x(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17869 rounded to three dps?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41748 and 3444.\nAnswer: 1711668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 19 + 218*m + 15 - 7 + 2584*m to z + a*m and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204 less than 0.68596518?\nAnswer: -2203.31403482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.9 + 84. Which is bigger: w or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/6)*v*v)\/v*v)\/(v*v**(-1\/5)\/v*v)*(v*v**(-5\/3)*v)\/v**(-2\/5))\/(v**(-7)*v**(1\/11)*v**(1\/5)\/(v**3*v)) assuming v is positive.\nAnswer: v**(4117\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229 + 89 = 60*j - 2702. Suppose -3*y = 2*n - 676, 0 = -2*n + y + 396 + 264. Calculate the remainder when n is divided by j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29390?\nAnswer: 2, 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1104\/54 + (248\/(-72) - -3). Calculate the highest common factor of 8020 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.537 + -22.437. Is t != -7082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4443883\/5 not equal to -888778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -982*2\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -4\/5*r**6 + 0*r**4 + 9\/10*r**5 + 0 - 4*r + 3\/14*r**7 - 1\/2*r**3 + 0*r**2. Factor z(n).\nAnswer: 3*n*(n - 1)**3*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*-3 - (sqrt(119) - (sqrt(119) - (-1*sqrt(119) + sqrt(119))))*2)*-6)\/(6*(sqrt(252) - -4*sqrt(252)*2))*2.\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-2 - 0) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1999 divided by 1.\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:57 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 1146, 2576, 4576?\nAnswer: 7146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(700) + (sqrt(700) - (2 + sqrt(700))))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100220230110 (base 4) to base 16\nAnswer: 428b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*3\/(-2) - -8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75274, 150548, 225810, 301054, 376274, 451464, 526618?\n\"Answer: -c**3 + 75281*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 219*b**2 - 2904*b + 653. Give n(13).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1957207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2726740960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 - 4*x - 3. Suppose 2 + 4 = g. Suppose -g*s = -2*s - 16. What is n(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1185 + -17783\/15. Suppose -m = -0*m. Is r >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/14)\/3 + 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-605)\/(-22))*(-2)\/(-1)*1400\/(-980).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/6)\/((-3)\/27). Suppose 0 = -3*l - 5*v + 266, 0 = 4*l - 4*v - 138 - 238. What is the units digit of l\/w + (-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 4437868*v**3 - 1230914805152*v**2 + 1230919243024*v.\nAnswer: -4*v*(v - 1)*(v + 554734)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*i + 2*j, 12*j - 15*j = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31120166531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90827873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5\/2 - 475*o**4\/2 - 3625*o**3 + 179525*o**2 + 5500775*o\/2 - 114887615\/2 = 0. Calculate o.\nAnswer: -43, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -139, -78, 61, 272, 549?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1979, 24.13, -0.5 in increasing order.\nAnswer: -0.5, -0.3, 0.1979, 24.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 8572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*sqrt(204)*-2 - sqrt(204) - sqrt(204))*2)\/(-4*(-2*1*sqrt(12) - (sqrt(12) + -1*sqrt(768)))).\nAnswer: 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1 - (-71)\/((-3)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, 4 in descending order.\nAnswer: 18, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -3\/20*t**5 + 0*t - 5 + 0*t**3 - 1\/24*t**6 + 0*t**2 - 1\/8*t**4. Factor c(s).\nAnswer: -s**3*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, 1554, 2450, 3336?\nAnswer: 4212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41136)\/(-6856)*140\/(-6)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 103 - -45) + 33?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 2*d - 1. Calculate q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19431974 divided by 11\nAnswer: -19431974\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -31202?\nAnswer: 31211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**9\/756 + q**6\/360 - 2*q**3\/3 - 4*q**2. Let u(r) be the first derivative of s(r). Find the third derivative of u(z) wrt z.\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (113 + 102) - -39\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19054\/461 or 1\/9?\nAnswer: 19054\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4675)\/(-15))\/11 - 4\/3. Let d be t\/4 + 129\/(-12) + 11. What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -306143*p + 43 + 306156*p - 10. Let y(w) = 3*w + 8. Give -2*o(q) + 9*y(q).\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (11\/(44\/40) - -13796) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061 in -3.727, -0.09, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from llvl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**2\/2 + 6*h + 4. Let c be s(4). Which is smaller: 18\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 40*n**2 - n - 1. Let x(z) = -z**2 + 1. Determine -m(o) - 3*x(o).\nAnswer: -37*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v + 3. Let m(w) = -145*w**2 - 14*w. Give m(z(n)).\nAnswer: -105705*n**2 - 23868*n - 1347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b + 2. Is -4*(18 - 2)\/b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let n = 1.1 - 1.1. Let p = q - n. Which is the nearest to 0.1? (a) -3 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 - i**2\/2 + 2*i - 14. Determine v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z - 17. Let d(o) = 4*o**2. Calculate d(a(l)).\nAnswer: 324*l**2 - 1224*l + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 85027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/40 and 51\/3730.\nAnswer: 14920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -26. Let v(m) = m**3 + 0 + 9*m**j + 2 - m + 4 - m**2. What is the tens digit of v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r + 4*r + 4*r to q + j*r and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33833287 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 42051 - 13676 = 916*i + 4372 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 10*j**2 + 16*j + 53. Let i be u(7). Solve 2*l + g - i = 5*l, -2*l - 19 = -3*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25362, -101446, -228208, -405612, -633622, -912202, -1241316?\nAnswer: -1620928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1039 - 235. Let s = m - -1349. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21631932 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 385 and -2249.\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-3 - -2) - -2. Suppose 4*x - 48 = -a - a, v*a = -3*x + 36. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by -4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 - 77*p - 55. Give w(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**4\/5 + 1383*o**3\/5 + 58302*o**2\/5 - 7896*o = 0.\nAnswer: -35, 0, 2\/3, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -631, -46, -17318 in decreasing order.\nAnswer: -46, -631, -17318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**4 - 8*k**4 - k**2 + 2*k**4 + (0*k**2 + 3*k**2 + k**2)*(3*k**2 + 0*k**2 - k**2) + (-2*k**4 - k**4 + k**4)*(-6 + 5 + 0).\nAnswer: 12*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167686253\/8247 + -20333. Let z = l - 12832\/13745. Calculate the common denominator of z and -55\/93.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22948, 91726, 206354, 366832?\n\"Answer: 22925*g**2 + 3*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 7 - ((9 - 15) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1 - 2. What is the remainder when 64 - (4 - (u + 2)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 + 2b92?\nAnswer: 2b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 132 and 25?\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.07, 3\/2, -6021?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7474010 and 35\/5979208?\nAnswer: 29896040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuwuluuuwwulwlwlw?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j*j**6*j*(j**(2\/5))**24)**(-25))**17 assuming j is positive.\nAnswer: j**(-9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k. Suppose -3*c - 2*u + 23 + 17 = k, -5*u = -4*c + 15. Let b(w) = 5*w - 10 - c*w + w. Determine b(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -209, -203, -201, -209, -233?\n\"Answer: -f**3 + 4*f**2 + f - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197526 = -18*w + 4*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430787 rounded to the nearest 1000?\nAnswer: 4431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4863 = 12*t - 25359. Calculate the highest common divisor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -54*g + 680. Solve -g = -36*p + 28*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-2))\/d*d)\/d*d*d*d**2\/d*(((d\/(d\/d**(-5)))\/d)\/d)\/d**(2\/7) assuming d is positive.\nAnswer: d**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:43 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27378, -219313, -740526, -1755735, -3429658, -5927013, -9412518?\nAnswer: -14050891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.13544 to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3 - 5026*c**2 + 53619*c wrt c.\nAnswer: -12*c - 10052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 46. Let u = f + 29.5. Put u, 2, -0.5 in decreasing order.\nAnswer: 2, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 51*v + 9. Let g be b(1). Calculate the common denominator of ((8\/(-14))\/(-2))\/(g\/171) and -73\/18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 74*n + 2. Let x(i) = -2*i**3 + 22*i**2 - 34*i - 13. Let w be x(9). Is 62 a factor of a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -3*x**2 + 38*x + 1\/2*x**3 - 5\/48*x**4 + 1\/240*x**6 - 1\/60*x**5 + 0. Suppose t(y) = 0. Calculate y.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 plus 0.159?\nAnswer: 644.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*p - 1 + 9, 3*p = 5*h - 8. Solve 3*w = -5*i - w + 21, 4*w - 16 = -p*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*p - 34067, 25305 = -2*p + 3*v + 8266. Let i = p + -128482. What is i rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v + 2350. Determine g(89).\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 + 5*s - 3. Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1411 = -3722*u - 485*u + 74315 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 25*c - 4. Let q(t) = 13*t - 2. Suppose -6*a + 2 = -34. Let p(g) = a*v(g) - 11*q(g). Determine p(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 3*r + 230. Let w be c(-10). Do w and -2\/195 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 7, f: 5}. What is prob of picking 1 v and 2 f?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -10 + 30. Suppose -15 = -5*d, -2*d - 1 = -n*j + 17. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i + 25*i + 35*i in the form p + x*i and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 985.00000995 - 985. Round d to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**3 - 5*b**2 - 16. Let h = -415 + 411. Is u(h) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961860 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789029907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5562 + 7659 = 137*x - 2893 - 1997 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-5) - (-4)\/(-20))\/1. Let p be (146 - f) + (-2 + 8)\/(-2). Let n = p - 76. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 25 = -3*a. Let f be a\/((-60)\/(-891))*4. Suppose 0 = -5*u - 2*g + f, -4*g = 2*u - g - 121. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 83828*o. Let m(s) = 5*s. Determine u(m(z)).\nAnswer: 419140*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 + 1191. Suppose 0 = -a - 0*a. Suppose -5*r - 1255 = -k, -k - t = 4*r - a*k. What is r rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 11)\/(-8 - (-117)\/18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (0 + -26 + 15 + 8)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.84 - -722.84. Let t = o - 714.97. What is t rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7827*t + 204*t**2 - 7821*t + 31283*t - 7808*t - 7827*t.\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a + 76. Let w be u(-5). Suppose -w*x - 4*x = -x. Sort x, -3, 1, 5 in decreasing order.\nAnswer: 5, 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 192 in -2\/17, 4\/5, -21, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:29 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4081667\/100 + -40816. Find the common denominator of -71\/20 and r.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404188*i**2 - 220379*i?\nAnswer: 808376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5 - 861*b**4\/2 - 212*b**3 + 2587*b**2\/2 + 1506*b + 430 = 0.\nAnswer: -430, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -9. Let m = z - 3. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 6*i - 10. Let u be d(-7). Suppose 7 = 13*q + u. Sort 1, q, 42, 5.\nAnswer: q, 1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.3456048 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 996257\/755028 + 32\/6991. Calculate the common denominator of x and 65\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 + 164*j**3 - 3674*j**2 + 12792*j - 12168 = 0. Calculate j.\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 14*r + 15. Let l be b(-13). Let a be -1*(-3 + l)*0. Solve -3*m + 3 = -a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 17 - 3. Suppose -s*h = -4*w - 9 + 3, h = -5*w + 7. Suppose 0 = h*t + 2*t, -4*t = -n + 136. Does 34 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.715 rounded to one decimal place?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 16, -39, -148, -329, -600, -979?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/(-5)*5\/(-1). Suppose 9 = 2*k + k. Suppose 4*y = q + 41, -2*y + k*y - j = -5*q. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)\/sqrt(11) + (sqrt(60)*1 - sqrt(60))\/sqrt(12) + 1 + 5)*-2)**2.\nAnswer: 144*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*x - 9. Let q(d) = d**2 + 4*d - 6. Let n be q(-5). Let g = n + x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = -3*d, -x + 4*d + 62 = 36. Solve 0 = x*t - k - 10, -16*t + 11*t - 2*k = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3487538 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1212000102210?\nAnswer: -1212000102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/13 - 10*j**3\/13 + 50*j**2\/13 + 10*j\/13 - 48\/13 = 0?\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6715 is divided by 472?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56541155 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.1 + 4. Let l = n + -15. Let k(g) = g**3 + 26*g**2 - 26*g + 23. Let x be k(-27). Which is the biggest value? (a) -2\/9 (b) l (c) 2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89300 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41742 by -6.\nAnswer: 6957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 302535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67194263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -39 (b) -595\/2 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:22 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 52, 0, -55, -8 in descending order.\nAnswer: 52, 5, 0, -8, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.544871187 - 0.069\nAnswer: 0.475871187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403 - 350. Suppose -2 - s = -o + 4*t, -5*o + 4*t = -275. What is the remainder when 219 is divided by o?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.7092173 to 3 dps.\nAnswer: -23.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38100 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-388)\/249678*-78.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(325) + -1)**2 + -2 + 0 + ((sqrt(1053) + -1)**2 + -2)*4).\nAnswer: -13596 + 246*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h = -7*h + 17*h. Solve 0*g - 16*g + 80 = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**3 + 2*s + 11. Let w(d) = 6*d**3 - 7*d**2 + 4*d - 19. Let o(c) = -2*c**3 + 2*c**2 - c + 6. Let p(g) = 7*o(g) + 2*w(g). Give -3*k(t) + 8*p(t).\nAnswer: 2*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/15? (a) 2 (b) -3 (c) 4 (d) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c*k**4 + 24*c*k**3 + 11*c*k - 21*c - 2*k**3 + k wrt k.\nAnswer: -228*c*k**2 + 144*c*k - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.339 and -19170.\nAnswer: -19169.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 7*r + 3. Calculate l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/116 and 2 + (2909\/(-1288) - 24\/(-84))?\nAnswer: 5336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*b + 5*l - 4*l, 1681*b - 1683*b = -2*l - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20088 and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2264 + 2263 = -15*n, n + 4*y = -27 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 934, 1016, 1098, 1180, 1262, 1344?\n\"Answer: 82*x + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Let c be 2 + m*(3 - 5). What is the smallest value in 0.4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-3)\/c*c)\/c*c\/c**8)**(-50) assuming c is positive.\nAnswer: c**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*-4*62\/(-16). Let m = -37 + d. Suppose -2*p + 6 = -8. Calculate the highest common divisor of m and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10300 (base 5) to base 9.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -36. Let t = -9 - c. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -104*h + 1652. Calculate the smallest common multiple of f(4) and 18.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-24) + (-105)\/(-4). Suppose 3*i + 9 + 25 = 5*y, 4*y - 2*i = g. Calculate the remainder when 28 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6682*a = -3*f + 6680*a, -20 = 4*f - 4*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + 1 - ((3 - 0) + 2)) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-70)*2*(-15)\/(-12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.14 + 1.2. Let c = -0.69 - j. Let u = c + 0.7571. What is u rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 192262 + -50?\nAnswer: 192212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 148?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60723.3331 and -5.\nAnswer: 60718.3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186047 - 3?\nAnswer: 186044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.45 - 9. Let o = -71 - -71.15. Let r = o + f. What is the nearest to 0 in -0.6, -2\/9, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*v - 5*v. Solve -1 = v*w - 0*w + z, -2*w + 2*z + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000117 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let f be ((-2)\/(-8))\/((-6)\/(-16)). Which is the second biggest value? (a) -3 (b) f (c) h (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 707567799 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -134\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 632 and 1921304?\nAnswer: 151783016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09290972 rounded to 5 decimal places?\nAnswer: 0.09291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314.1 + -300. What is v rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 33 = -2*l + 2, 5 = -a. Let x(t) = 5*t**2 + 10*t + 12. Let g be x(l). Suppose -y = 3*y - g. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 25*j**3 - 3914*j**2 - 1734*j + 1098. Determine u(157).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 1 + 6*p**2 - 2*p**2 + 6*p**2 + p**3 - 2. Give a(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g = -73*g + 5*m + 296, 57*m = 5*g + 40 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 123 = z - 22, z + 5 = 0. Suppose 0 = 54*g - 43*g + 187. Let x = u + g. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 98 - 95 - 102 + 401 - 106.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 15 = -5*i, -312*f + 310*f + 4*i = 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -98810000 to the nearest one million.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) - (sqrt(70) + sqrt(70) + sqrt(70)*1 - sqrt(70))*3)*-1)\/(-6*(sqrt(160) - 2*(sqrt(160) - 1*sqrt(160)))).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 277, 1114, 2513, 4474, 6997?\n\"Answer: 281*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 26*s**2 - 10*s**2 - 10*s**2 - 5*s**2 + 4 - 2 + s. What is n(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 3 + 3 - g + 3 - 3 + (0*g + 2*g + 0*g)*(3 + 2 - 3) - 2*g + 9*g - 21*g to the form l + x*g and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.5 + 28.2. Let h = f + 25. Which is the third biggest value? (a) h (b) -1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -9 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-234) + (4 - (-38)\/(-9)). Let p be ((-6)\/8)\/(1\/(-4)). Sort -3, n, p in decreasing order.\nAnswer: p, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-126)\/(-5))\/((-6)\/(-15)). What is the smallest common multiple of 18 and (-360)\/b*14\/(-4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 - 61*x**3 + 60*x**3 + (2 - 2*x - 2)*(21*x - 80*x + 23*x)*(-1 - 3 + 5)*(-x + 0*x + 3*x - 2) to v*x**2 + s*x**3 + i*x + o and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 202002387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*y - 16 - 4, -4*m - y + 13 = 0. Let d be m\/(3 + (-65)\/25). Suppose -124 = -d*p - 39. What is the remainder when 67 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 15886?\nAnswer: 15886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -75 - 2 - -3. Suppose 0 = -2*j + 8, -4*t = -2*j - j - 16. What is the highest common divisor of t and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46744, 46715, 46680, 46639?\nAnswer: 46592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 2. Let h be l(-6). Is h\/247 - (-1003)\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - q**2 - 5*q**2)*(-4*q + 8*q + 4*q)*(1 - 4 + 0) in the form w*q**3 + o + x*q + p*q**2 and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.64 and 0.08.\nAnswer: 0.1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61690.33 tonnes in kilograms?\nAnswer: 61690330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 598, 898?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z - 19 = 9, 4*z = -3*t + 34. Suppose -i + 5 = -t*i. Let g be (-3 - i\/1)\/(-2). Calculate the highest common divisor of 3 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1232 and -2.1?\nAnswer: -2587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/5)\/r*r)\/((r*r**(-9))\/r*r*r)*(r*r**6)\/(r\/(r**(4\/11)\/r)*r) assuming r is positive.\nAnswer: r**(658\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23737 - 23720. What is the second smallest value in -5, l, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w*w**41\/w)\/((w**(-30)\/w)\/(w*w*w**(-7))))**(22\/5) assuming w is positive.\nAnswer: w**(1408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273292 + -273289. Let w be 1\/2*12\/3. Determine r so that -1\/3*r**5 - 2\/3*r + 0 - 5\/3*r**4 - v*r**3 - 7\/3*r**w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.99666 - 2131864.\nAnswer: -2131870.99666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14384533 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/f**(-14)))\/f)\/f)**(-18\/7))**(-14) assuming f is positive.\nAnswer: f**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w**5 - w**3 + (3*w**4 + 4*w**4 - 4*w**4)*(2*w + 4 - 4).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*r**2 + 2*n**3 - 80*n**2*r**3 - 3*n*r**3 - n*r - 8*r**3 - 13*r**2 wrt n.\nAnswer: -6*n*r**2 + 12*n - 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 13*t = -10*t + 1, 9*t - 49 = 3*u - 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 243 + 417. Let d = 47535 - 47403. What is the highest common factor of d and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7293 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627149 is divided by 1516.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6165 + 6484. Calculate the remainder when c is divided by 49.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 20*s**2 - 21*s - 672. Determine k(-23).\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - f + 30, -c + 4*f + 48 = 38. Let d = 8 + -10. Let b be d\/5 - 2814\/(-35). Calculate the greatest common factor of c and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 127. Suppose k - 180 - a = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 910*c - 38 + 5437*c.\nAnswer: 4527*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/20 + -23\/60. Which is the closest to 2\/5? (a) d (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -48, -89, -150, -237, -356?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-15))\/(87\/((-8700)\/(-80))). Let x be (-2)\/(-6) - (-14)\/(-78). Let o = 4 - 2. What is the closest to x in -0.2, o, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 - -2.38. Let y = -1 + m. What is y rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56388, -56399, -56410?\nAnswer: -56421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.4. Let n = -0.13 + 0.29. Let w = 0.24 + n. Which is the third smallest value? (a) 1\/4 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 353 = -x, -2*x = 4*j + 2*x + 268. Is 11 a factor of (j\/4 + 1)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 3}. What is prob of picking 2 n and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**6\/2 + 9*u**5\/5 - 3*u**4\/4 - 3*u**3 + 3*u**2 - 13. Determine r, given that q(r) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3009 or 251?\nAnswer: -3009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9295393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**3 - 3 + 3)*(0*r + r + 2*r).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16548970*q**5 - q**2 - 897956*q wrt q?\nAnswer: 992938200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1356 divided by 4\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -59 - (-53 + -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) -0.025 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 4:04 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1567*v - 6956 + 77471 = 0. Let g be 10*(2 + 0 - -17). Suppose 80 = 3*z - g. Calculate the highest common factor of v and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5719513361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 472 - 4*g**2 - 12577574*g + 12577574*g as s*g**2 + z + k*g and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, 39, 108, 177?\n\"Answer: 69*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-16) - ((-32227)\/(-156))\/(-37) and 71\/50.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3099, -5748, -8419, -11124, -13875?\nAnswer: -16684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x - 24. Let c be h(2). Suppose -5*v - 186 = -6*p + 2*p, p - 72 = c*v. What is the smallest common multiple of 7 and (48 - -1) + (-39 - v)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 74. Calculate the remainder when n is divided by (-12)\/9*45\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1932 - -3867\/2. Let t = -3.97 - 0.03. Which is the second smallest value? (a) -5 (b) z (c) t (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987186809.\nAnswer: 3, 2531, 261713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*g = -22074241 - 46259759. Round g to the nearest 10000.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772576?\nAnswer: 2, 7, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, -107864, 0.3, -6, -3?\nAnswer: -107864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 85a0c (base 14) to base 10\nAnswer: 323020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -4 + 3 + -4. Let o = -4 - q. Suppose -o*j - 18800000 = 2*j. What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**7\/2520 - o**6\/720 - o**5\/120 - o**4\/3 + 5*o. Let c(d) be the third derivative of y(d). What is c(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398032 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: Expand (4 - 3 + 1)*(-4 - 13 + 0)*(-4 - 4 + 6)*(-3 - 2 + 4)*(3*z**2 + z**2 - 3*z**2)*(-53*z + 232*z + 106*z).\nAnswer: -19380*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.955 + -94.865. Let g = q + 106. What is the nearest to 1 in g, 4, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -35 (b) -2 (c) -160\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a = -47. Let q(z) = z**3 - 3*z**2 + 2. Let s be q(1). Let y = a - s. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 24*v + 3*k + 70, v = k + 33 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*t + 45, 2*o = 4*o - 2. Let k be 1\/(1\/1 + (-8)\/t). Suppose 67 = -k*f + 67. Solve 5*y = 4*b - 19, 3 = -y - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7037*t**2 + 1310*t**3 + 12 - 12 + 5313*t**2 wrt t.\nAnswer: 7860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -18330836 in descending order.\nAnswer: -2, -4, -18330836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61923825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*v = 120 + 45, 259 = 5*d - 3*v. Let j = d - 29. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5021 + 18021. What is y rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let u be 0\/4 - (-1 + 0). Let x(d) = -5*d - 6. Let k(w) = w - 1. Let g(i) = u*x(i) - 6*k(i). Calculate m(g(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 - 3. Let u be (-1)\/8*-4 - 225\/(-90). What is the closest to 2 in v, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 14 = -3*k, -2*k - 3*j = -21. Suppose -z = k*g - 28, 21 + 31 = 5*g + 3*z. What is the lowest common multiple of 2 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*l, -2 = -4*l - 5*r - 4. Suppose l*f + 88 = -2*f. Let x(o) = -2*o**2 + 2*o - 2. Let v(n) = 7*n**2 - 7*n + 7. Calculate f*x(j) - 6*v(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/561484 and 19\/2.\nAnswer: 561484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + j - 250 = 0, j + 64 = -c + 5*c - 58 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + 2 + (-68)\/(-8). Let f = 119 - b. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28156.27 less than 0.05?\nAnswer: 28156.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21111001010121?\nAnswer: -21111001010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579010640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a + 3. Let l(w) be the first derivative of w**3 - 1023. What is n(l(u))?\nAnswer: -33*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/12152416 or 0?\nAnswer: 3\/12152416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-14)*(-19096)\/(-2232))\/((-4)\/(-12))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32128 and 4602336.\nAnswer: 18409344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (4 + -7)*1. Suppose 4*u - 6085 = -5*r, 0 = p*r - 3*u + 7*u - 4872. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*j*k**2 - 10*b**2*j + 3*b**2*k - 5*b*j*k**2 - b*j - b*k + 3*j*k**2 wrt b?\nAnswer: 4*j*k**2 - 20*j + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -1\/81, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 97 = 252. Put -7, 0, p in descending order.\nAnswer: p, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810158, -1620310, -2430464, -3240620, -4050778, -4860938, -5671100?\nAnswer: -6481264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*t - 299, 4*t - 2*t - 323 = -3*m. What is the third derivative of -4 + 19 - 15 + 84*q**3 + m*q**2 wrt q?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -92.3. Which is the third biggest value? (a) 1 (b) n (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (138\/4)\/((-561)\/68).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/((-99)\/66). Which is the nearest to i? (a) -7\/2 (b) 0.5 (c) 11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxlx. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.7. Let n = 16 + -10. Let w be 6\/(-28)*n\/3. Put t, w, -0.5 in descending order.\nAnswer: t, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 14 = 3*j. Let s be 30\/(-40) - (-31)\/36. Let n be 4\/(-3)*3\/(-6). Which is the fourth biggest value? (a) s (b) j (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 5. Let n(b) = -b + 5. Let m(j) = -2*c(j) - 3*n(j). Suppose w - 2*w = 7. Let x be m(w). Solve -x*f - 6 = -o - 0*o, 0 = f + 5*o + 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m + 106. Let o be f(14). Calculate the highest common divisor of o and 5288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692839691.\nAnswer: 2692839691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**4 + 304*q**3 - 4*q**2 - 580*q wrt q.\nAnswer: -144*q + 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -24. What is the common denominator of 73\/20 and (44\/q)\/((-4)\/(-15))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -5 + -5 + 13 + (-14 - 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/16*48\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220595 plus 2476?\nAnswer: 1223071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v**2 + 2*v + 5*v**2 + 3*v**2 + 0*v**2 - v**2 - 3*v**2 + 0*v**2 + 2*v**2 + v**2 - v**2 + (-v + v - 2*v)*(-3 + 2*v + 3).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 537 + -529. What is the greatest common factor of 928 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2449 - -4897\/2. Which is the second biggest value? (a) v (b) 2 (c) -1\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-76)\/(-14) - 12\/28. Let y(q) be the third derivative of -1\/24*q**4 + 0*q**3 - 1\/30*q**l - 2*q**2 + 0 + 0*q. Find the second derivative of y(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396077651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28580, 57153, 85716, 114269, 142812, 171345?\nAnswer: 199868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 0*z - 2*z)*(2*z - 3 + 3) - z**2 + 23*z + 29*z - 22*z as n + l*z + g*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -14, 3, 7, -4 in increasing order.\nAnswer: -25, -14, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295351, -293866, -292381, -290896, -289411, -287926?\nAnswer: -286441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 - 744*r**4 - 26564*r**3 - 74424*r**2 - 48608*r = 0. What is r?\nAnswer: -28, -2, -1, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1416563 and 3161?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 6 + 0*t + 6. Let j be g(-1). Let m(p) = 2*p - 1. Determine m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 3. Let m(x) = -6*x - 10. Let q(y) = 6*m(y) + 20*p(y). Let c(o) = 8*o. Determine q(c(r)).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 679110334 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*p**3 + 3164*p**2 + 73*p**4 - 7719*p**2 + 667*p**3 - 78*p**4 - 5355*p = 0 for p.\nAnswer: -1, 0, 7, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -355\/1071 + 32\/63. Are c and -135 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - c + 6. Let i(z) = z - 1. Give 3*i(g) + u(g).\nAnswer: 2*g**3 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcpc when four letters picked without replacement from bwpwcwhhwcww?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9081, -18140, -27203, -36276, -45365, -54476, -63615, -72788?\nAnswer: -82001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 35 = v, 5*h - v = -5*v - 56. Let w be (1\/3)\/((-6)\/(-18)). Let l = w - h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 669*s**3 + 5*s**2 - 9*s. Let z be r(2). Suppose 126401 = 13*d - z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. Suppose -h*j = -2*j - 24. What is the second derivative of j*l**5 + 2*l + 6 + 2*l**5 - 6 wrt l?\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**5 + 2*t**3 - t - 3. Let y(a) = 331*a**5 - 12*a**3 + 5*a + 417. Let q(o) = 6*w(o) + y(o). Find the second derivative of q(m) wrt m.\nAnswer: 6500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1238*m**2 + 2360*m**2 + 997*m**2)*(4*m**2 + 0*m**2 - 3*m**2) as t*m**2 + n*m + q + i*m**3 + a*m**4 and give a.\nAnswer: 4595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/18)\/((-14)\/(-21)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -54. What is the nearest to -1\/4 in q, 0.2, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*a - 52 - 54, -2*h - 5*a + 16 = 0. Suppose 5*o = z + 82, -2*o + h = -5*z - 1. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 13. Calculate the smallest common multiple of 24 and h(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 2\/15*h**6 + 1\/4*h**2 - 3\/8*h**4 - 1\/20*h**5 + 0 - 6*h - 5\/24*h**3 + 3\/56*h**7. Let t(a) = 0. Calculate a.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/(0 + -2). Suppose k = -5*h + 72 + 13. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f*f**(-1\/10))\/(f**(-1)\/f)**8 assuming f is positive.\nAnswer: f**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*sqrt(756))\/(sqrt(300) + 1*sqrt(300)))**2.\nAnswer: 1701\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -10641\nAnswer: 3192.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -51. Suppose 7*l + 189 = 203. What is the nearest to 1 in f, l, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/30 - (-5)\/((-75)\/(-100782))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -644, -638, -628, -614, -596, -574, -548?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 37*j - 131. Determine l(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 9173808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (110 - -1)\/3. Let o be m\/10 + (-20)\/50. Suppose 5*k = -3*f + 43, -2*k = o*k - 4*f - 71. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 85, 1, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q = -56*q - 17. Solve -2*j + q = -3*z, -2*z - 2 = j - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -2*j + 0 + 0*j**2 + 1\/75*j**6 + 1\/10*j**4 - 1\/15*j**3 - 3\/50*j**5. What is z in i(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 23, 31*u + 54 = -3*f + 37*u - 72 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.800108 + 3.8. What is o rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(77) - (sqrt(77) + 3*(4*sqrt(77) + sqrt(77))))\/(sqrt(28)\/sqrt(4)*6).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 + 99. What is the remainder when (-107 - y)\/(-2) + 4 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1968?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 4*k**2 - 3*k + 17. Let l be v(0). Let r = -26 - -162. Calculate the greatest common divisor of r and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/16 + 30\/24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1. Suppose -2*h + 4 = 2. Let t(y) = 4*y - 3. Suppose 2*r + 9 = 5*g, 4*r + 16 - 7 = g. Give h*t(x) + r*j(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*g**5 - 5*b*g**3 + 5*b*g - 2*b + 2*g**5 + 5*g**2 wrt g?\nAnswer: 60*b*g**2 - 30*b + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 17*r - 36. Let t be x(14). Let i be ((-4)\/3)\/(1 + (-8)\/t). Suppose -89*m**i + 87*m**4 + 2*m**3 + 2*m**2 - 2*m + 0*m**2 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -46b?\nAnswer: -46e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m, -4*p - 5*m = -p - 15. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -8*w + w + 34, 4*z - 322 = 3*w. Let j be 2056\/18 - 4\/18. What is the highest common factor of z and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/7 and (-225)\/54*18\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -28*p - 5. Let w be v(-2). Suppose -24*l = -w - 141. Solve l*y - 4*y + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290977.\nAnswer: 41, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -7\/6*i + 5\/6*i**2 + 1\/2 - 1\/6*i**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4133 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1449 less than -1446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 184081*g - 1472712.\nAnswer: (g - 184089)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102.96 * -0.2.\nAnswer: -20.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (-1 + sqrt(720))*-5 - (5 + (sqrt(720) + sqrt(720) + -1 + sqrt(5))*-1))**2.\nAnswer: 350*sqrt(5) + 6145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19240 + 16220 = -30*t. What is the remainder when 40\/80 + t\/(-4) is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56751000 to the nearest one hundred thousand.\nAnswer: -56800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -n + 5*u, 0*n + n + 2*u = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 6342156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1054*g**3*l*v**3 - 3*g**3*l*v + 37*g**3 - 499*g**2*l*v**3 + 3*g**2*l*v**2 + 2*g*l*v**2 + 5*g*l - 14*l*v**3 wrt g?\nAnswer: 6324*l*v**3 - 18*l*v + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) -1.0682 (c) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -3.\nAnswer: -14, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 34 = -3*v, -3*v - 3*u - 9 = -42. Suppose 4*k - 2 = 2*h, -3*k = -2*h - 7*k + 22. Solve 8 = h*p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(570\/141 + -4). Let w = 49 + h. What is the first derivative of -7*p**2 - 1710 - 5*p**w + 1712 - 12*p**2 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 23 = -3*r - m, 2*m + 9 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/4920 and 8\/52 + 7\/2184*(1 - -1940).\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7 - 134*l**2 + 153*l**2 - 16.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 37878*k - 15238080 = 0.\nAnswer: -12210, -416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14785 (b) -5 (c) 0.1 (d) -1611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.17 + -0.67. Which is the nearest to 42? (a) l (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120020 (base 3) in base 12?\nAnswer: -1b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 + 6*c + 3. Let b(w) = w**3 + 17*w**2 + 27*w - 2. Let q(i) = i**2 + i + 1. Let r(n) = -b(n) + 3*q(n). Let s be r(-12). Give z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2843.4 - 2844. Do 2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 4. Let q be h(-2). Let t(b) = 21*b + 1. Let w be t(1). Suppose 3*f - 5*f + 22 = -v, -q*f - v + w = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/35784 and -139\/252.\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -96604.1?\nAnswer: -96618.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (11 + -16 - -42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3080\/((80\/125)\/(-8)). What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(272) + sqrt(272) + -5*(0 + sqrt(272)))**2 + 1.\nAnswer: -96*sqrt(17) + 2465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1910238.9 months?\nAnswer: 159186.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 + 8782181*c\/3 - 40983495\/2.\nAnswer: -(c - 17564355)*(c - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1542669 rounded to four decimal places?\nAnswer: 0.1543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8571291577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 27*d + 479. Let s(k) = 22*k + 480. Determine 4*q(u) - 5*s(u).\nAnswer: -2*u - 484","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*((-6)\/(-2) - -4*28\/(-56))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-3)\/((-81)\/12). Let z = -155 - -74. Let i = -81 - z. Which is the nearest to i? (a) -0.02 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 12984 = -1485. Calculate the highest common divisor of u and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*h - 145 + 145)*(-2*h**3 + 0 + 1 + 0).\nAnswer: 42*h**4 - 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3070 + 151*w + 3070 to f*w + s and give f.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/(g**(-10)*g))\/(g**(-2\/5)*g\/(g*((g\/g**(-8))\/g)\/g*g*g)) assuming g is positive.\nAnswer: g**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 979 - 642. Suppose -2753 = -u - r. Let t = 24243\/10 - u. What is the common denominator of t and -45\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19381274923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66360 and 91245?\nAnswer: 729960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -33. Find the first derivative of -4*z**4 - 2 - 2*z**4 - h*z**4 wrt z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3218?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84013 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 145*(51\/(-15) + 3). Let x = h - -59. Suppose 2*r - x = r, 3*r = 3*u - 57. What is the highest common divisor of 220 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/3 (b) 22 (c) 0.3 (d) 20 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 + 29 = 2*m. Suppose 195 = u - 0*j - 4*j, m = 2*u + 2*j. Is (u\/9)\/((-1)\/(-3)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g + 1. Let x(u) = 160*u**2. Determine x(k(b)).\nAnswer: 46240*b**2 + 5440*b + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4889 is divided by 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (-1 - -4) + (-60 + 35 - -21).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-114)\/(-95))\/(6\/(-40))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1707089 times 5\nAnswer: 8535445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (1 - -2) - -10. Suppose -c + 0*y - s = 2*y, -c + y = 3. Is c at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1158, 4, 3, -4, 6, 5 in decreasing order.\nAnswer: 1158, 6, 5, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2*l**2 - 4*l**2)*(l + 0*l - 3*l + 2*l - l + 0*l + (1 + 1 + 0)*(l + 0*l + l) - 2*l + 0*l + 0*l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90727892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16132 and 13024.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, 2, 1424\/9?\nAnswer: 1424\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + (-4 - -2). Let x be 16\/(-64)*(-4 - g). Find the second derivative of -6*q + 0 - 11*q**2 - 1 + x wrt q.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108456, -108090, -107098, -105168, -101988, -97246?\n\"Answer: 52*k**3 + k**2 - k - 108508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.03, 3\/4, -3, -0.003?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4409*y = 768*y + 124333 + 357128 for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -17. Suppose w + 5*l = 32 + 32, -p*l = -w + 24. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3.7. Suppose 6*f - k + 114 = 2*f, -10 = -5*k. Let t be (30\/f)\/5*-2. What is the closest to -1 in t, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 6. Let g(m) = -m**2 - 3*m - 8. Let n be g(-2). Let j be 2 - (243\/180 + n\/(-8)). What is the third biggest value in -2\/7, -3, j, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 261076669\/264 - 7908747\/8. Let l = o + -1000\/3. Calculate the common denominator of 19\/52 and l.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 32 + 160. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-674)\/(-3) + (-16)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352172.003 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85009863 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -2 + 0 + 6. Let l(f) = -c - 20*f - 1 + 3. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2 + 998*f + 3*f**2 + 3462*f - 37*f**5 + 5*f**3 - f**2 + 14*f**5 wrt f.\nAnswer: -460*f**3 + 30*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13401533 (base 6) to base 10\nAnswer: 451425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1111839 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293503 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*i - 18546 - 34*i + 18543)*(2*i + 4*i + 2*i).\nAnswer: -840*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/(6\/36). Suppose 2*x = 3 + 3. Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963130 is divided by 3420?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -291, -293?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6 = -3*q, -15 = -4*q + q - 4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*s - 2*v, 2*s + 1 = -4*v + 11. Suppose -11 = -3*y + 2*y. What is the derivative of 5 + y*u - s*u + 4*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40691, -41099, -41505, -41909, -42311, -42711, -43109?\n\"Answer: j**2 - 411*j - 40281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let s be ((27\/24)\/p)\/3. Suppose 2*r = r. Is s < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5010 - 4978. What is the remainder when 2174 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100.99874 + 101. Round s to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1142174?\nAnswer: -3\/1142174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/8, -5, -0.04 in ascending order.\nAnswer: -5, -4, -1\/8, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204\/10*(-5)\/(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447702 (base 8) in base 6?\nAnswer: -12510550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -24980*g. Let p(x) = -4*x**2 - 154*x. Give b(p(v)).\nAnswer: 99920*v**2 + 3846920*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 3:25 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 8. Let k = -6.85 + 7.35. What is the second biggest value in u, k, -321?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 4*j - 2. Let a = -5 + 2. Let t be x(a). Suppose t = v - 2. Solve -6 = v*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stj when three letters picked without replacement from {s: 2, y: 1, j: 2, t: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29463, 59596, 89729, 119862, 149995?\nAnswer: 180128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let s = f + 5. Let j(o) = -11*o - 114. Let x be j(-10). Sort x, s, 0 in increasing order.\nAnswer: x, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -97091133336191.\nAnswer: 97091133336192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3 + 1)**2 + (sqrt(7) - 6*sqrt(28)).\nAnswer: -17*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(637) - (sqrt(637) - ((sqrt(637) + -2*sqrt(637)*-3)**2 + sqrt(637)) - sqrt(637))).\nAnswer: 14*sqrt(13) + 31212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -304640 - -3?\nAnswer: -304637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 6676*s\/3 + 20030\/9.\nAnswer: -2*(s - 1)*(s + 10015)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(225\/10))\/(2884\/480 - 6). Calculate the highest common factor of p and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*d + 6, -2*m + 1 = d - 4*d. What is the tens digit of 59 - d - (3 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31729, -63473, -95217, -126961, -158705?\nAnswer: -190449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7922066 decades?\nAnswer: 0.007922066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - 4*i**4\/3 - 2*i**3\/3 - 31*i**2\/2 - 50*i. Let q be f(-16). Is 34 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x = 40*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23025855.\nAnswer: 3, 5, 29, 43, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + (-1 - (3 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 133 = -83. Let l(w) = 3*w**3 - w**2 - 5*w + 4. Let g be l(2). Solve k = -2*i + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 11:37 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 83, 0.06, 3\/8 in increasing order.\nAnswer: -2, 0.06, 3\/8, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3167*a**2 + 7943*a**2 + 6292*a**2 - 2215*a**2 to r*a + z*a**2 + f and give z.\nAnswer: 15187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 2, e: 1, r: 1, t: 2, j: 1}. Give prob of sequence ttw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*w + 26 = -0*c, -2*w + 50 = -4*c. Let y = 24 + c. Let i = 32 - y. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(59*y + 44*y - 22*y + 3*y).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 77571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*v + 15 = 0, -4*t = -0*t - 4*v + 12. Let l be 32\/(-2)*(-393 + t). Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(52) + sqrt(13)) + (sqrt(13) + -1 + 0 - sqrt(13)))**2.\nAnswer: 108*sqrt(13) + 6324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12898 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/(-495)*300\/(-2200)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120569608 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -22026 + 6570. Let u be (49 + 1)*(k - 8). What is u rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b997 - 256f?\nAnswer: -df06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -6. Let c be (36\/30)\/(4\/10). What is the third biggest value in n, 0, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127770 divided by -12777.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.069 in -72, 2\/15, -138?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38260, 76519, 114778, 153037, 191296, 229555?\n\"Answer: 38259*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let b = 13390.8 - 13391. What is the closest to i in b, 5, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -170272 divided by 4?\nAnswer: -42568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*k - 270*k + 190848 = 5961*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6051710.\nAnswer: 2, 5, 7, 86453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2\/7, -1\/2, -23861, 3, -0.049?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/2 of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/36 and 151\/348.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -0.58?\nAnswer: 9.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 56 = 11. Differentiate -12 + 5 + r - k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 u when three letters picked without replacement from uuwuwuwuuuu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4288*t**2 + 4288*t**2 - 11*t**3 + 4364*t.\nAnswer: -11*t**3 + 4364*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 0*c + 3*c - 6*c.\nAnswer: -3*c + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769299 = 30*q - 1935617 - 1867474. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/9)\/(32\/(-40))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bcbc (base 13) to base 2.\nAnswer: -110011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 - x**4\/6 - x**3\/6 + x**2 - 47*x. Let k(o) = o**3 - o**2 - o. Determine -2*k(m) + u(m).\nAnswer: -m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*x**2 + (0 - 2*x + 0)*(-60*x - 15*x + 10*x) + (-4*x - 2*x + x)*(-3*x - 2*x + 0*x) to the form c*x + q + w*x**2 and give w.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.2 (c) 0 (d) 1\/5 (e) -297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/20 + k**4\/4 + k**3\/3 + 5*k**2\/2 + k. Let c be f(4). What is the units digit of ((-3)\/c)\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)*u)**(5\/16)*u**(-2\/3)\/(u**(-3\/2)*u))\/((u**(-1)*u)**(-2\/9)\/(u**(2\/7)\/u)**38) assuming u is positive.\nAnswer: u**(-753\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/120 + b**5\/60 + b**4\/8 + 5*b**3\/2 - 14*b**2. Let j be c(0). Calculate the greatest common divisor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211 + -357. Let w = 77 + l. Sort w, 2\/7, 0 in decreasing order.\nAnswer: 2\/7, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: c2 (base 13) to base 15\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2584, -8530, -2\/7, 1 in descending order.\nAnswer: 2584, 5, 1, -2\/7, -8530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136896 and 132?\nAnswer: 1505856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*u + 242*u - 68*u to i + o*u and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.7 - 10.7. Let l = -0.14 - -0.04. Which is the nearest to 0? (a) 3\/2 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1\/7, 7.92, -1\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-39)*(-1 + -2) + -3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-15))\/(v\/v**(-15)))**(-4\/5))**13)**(-35) assuming v is positive.\nAnswer: v**(-10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 8*a**2 + 360*a + 3185. Let p be l(-9). Solve -p = -13*j - 52 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v**4 + 56*v**3 - 12*v**2 - 56*v - 11. Let i(w) = 11*w**4 - 57*w**3 + 13*w**2 + 57*w + 12. Let l(m) = -11*i(m) - 12*n(m). Factor l(h).\nAnswer: -h*(h - 1)*(h + 1)*(h + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -z - 2*i - 16, -2*i = 2*z + 12*i + 50 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 43, 6, -43, -194.\nAnswer: -194, -43, -5, 0, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89.2 + -17.8. Let y = -109.64 - r. Round y to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + g - 2*g = -2773, j + 2*g = 688. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*q + 8, -3*j + 3*q = -18. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4036 + -4032. Solve 0 = 11*k - 9*k + l*g - 8, 4*g - 8 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-20)\/(1280\/(-6368)))\/(-1 + -13)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 57*g**2 + 4*g + 198. What is d(-57)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - o + 0 + 5 - 1 + o - 3 - 3*o + 2*o - o + (-5 + 4 + 0)*(2 - 2 + o) + 14*o - 5*o - 15*o in the form a + u*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:56 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -927626*y**2 - 14299 wrt y?\nAnswer: -1855252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -62 + (29 - 81) + 3 - (1 - -15)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 0.094737.\nAnswer: 10.094737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let o(b) = -2*b. Let c(l) = -10*a(l) - 6*o(l). Suppose h = -h. Let w(i) = -i**2 + h*i + 0*i. Determine w(c(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93896501, -93896505, -93896511, -93896519, -93896529?\nAnswer: -93896541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4453\/18853 - 1\/1109. Find n, given that 2\/17*n**2 + 0 - y*n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 18*o + 5823 = -15*o, 0 = -j + 4*o + 741. Suppose 5*t - k - 333 - 28 = 0, 4*t - 300 = -2*k. Calculate the remainder when j is divided by t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*g*r**2 + 206636*g*r - 6376725*g with respect to r.\nAnswer: 70*g*r + 206636*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 21*k + 64. Does 4 divide c(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n. Let d(k) be the first derivative of k**3\/3 + 15. What is s(d(h))?\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1283*z**3 + 1 + 593*z**3 + 5*z + 634*z**3 to x*z + q*z**2 + v + l*z**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.5814 - 0.3124. Let t = 141.2 + -128. Let o = v - t. What is o rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:43 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/120 + 3*k**5\/20 - k**4\/4 + k**3\/3 + 2023*k**2. Suppose 3*x - c = 22, -2*c - 3*c - 22 = -4*x. What is q(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606271241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 15*d + 32. Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/13 - -36\/65. What is the closest to 2 in -2, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11267*b + 11265*b = 5*k - 75, 35*b - 14*b + k - 118 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 321?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.8, -5, 1, -1\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + a**2 + 2*a**2 + (0 + 0 - 2)*(-2*a**2 + 0*a + 0*a) + a**2 + 2*a**2 - 2*a**2 - 3*a**2 + 4*a**2 + a**2 + (-3 + 3 + 1)*(-a**2 + 0*a + 0*a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 17. Let o(t) = t**2 + 4*t + 1. Suppose -z = 5 - 2. Let a be o(z). Sort a, -1, c in descending order.\nAnswer: -1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Let z be (-50)\/48 + 2\/3. Let s = 8579 - 8582. Which is the third biggest value? (a) s (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 2*u - 1872. Let f = u - -196. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5933*y**2 + 3551*y - 851271146 wrt y.\nAnswer: 11866*y + 3551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, f: 5, h: 1, y: 1, e: 4, t: 5}. Give prob of picking 1 t and 3 f.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-36) + 147742\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3002*q - 59 + 5286*q + 121 - 62 as b*q + f and give b.\nAnswer: 8288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -379.02 times 13\nAnswer: -4927.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 35, 83, 161, 275, 431, 635?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - v**2 - 8*v + 20. Let o be r(4). Which is bigger: 25 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -9*p - 50. Calculate the common denominator of ((-166)\/(-12))\/(8\/(-3)) and 2\/p*((49 - 1) + 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {r: 12, o: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21038 is divided by 157.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6826304*g**3 - 8254380*g.\nAnswer: 40957824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 5:10 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -194095 bigger than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-38)\/(-4))*(-2256)\/2961?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjkjjkjjjjjjjjjjj. Give prob of picking 1 j and 1 k.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/5)*k*k)\/((k**(-2\/7)*k)\/k))\/((k*k**14*k)\/k**2))**27 assuming k is positive.\nAnswer: k**(-11259\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 9392*x + 9394.\nAnswer: -2*(x - 1)*(x + 4697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 49*j - 101 - 173 - 79*j - 49*j + 61. What are the prime factors of h(-12)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**3 + 2*n**2 - 5*n. Let a(f) = -14*f**3 - 3*f**2 + 6*f. Calculate 3*a(d) + 4*p(d).\nAnswer: 10*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15269 and 923?\nAnswer: 14093287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 61*y - 6. Let t be b(4). Let f be t\/(-16)*(-1 - 1). Let r = f + -30. What is the smallest value in r, -2\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-7)\/v)\/v**(-1\/40))**4)**(-20) assuming v is positive.\nAnswer: v**638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (32\/64)\/((-5)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1388748801 divided by 11.\nAnswer: 126249891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4141382 - -4141328.99909. Let c = 53 + s. What is c rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + 11*z - 6. Let w(u) = -u**2 - 2*u + 1. Let j(h) = 2*t(h) + 11*w(h). Determine j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 261 * 0.09054.\nAnswer: 23.63094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70070212 - 13873959953\/198. Let l = x - -3147\/11. What is the common denominator of l and 37\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1748.698309757 - 5.\nAnswer: 1743.698309757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-1 - (2 - (-6 + -6 + 11 + -6)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 l when three letters picked without replacement from {n: 2, l: 2, r: 6, g: 1, t: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4775 divided by -1842\nAnswer: -4775\/1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (40\/1680*266)\/(18\/(-8)) and 10\/3321?\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 3\/3)\/(31\/(-124)). Put -5, j, 0.02, 21 in increasing order.\nAnswer: -5, j, 0.02, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/172 and 67\/972?\nAnswer: 41796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 25 = 5*z. Let k(w) = -5*w**2 - 4*w + 3. Let a(q) = 6*q**2 + 5*q - 4. What is z*k(x) - 4*a(x)?\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3866 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, -0.1, -3, -3020?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:43 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*i - 10, -5 + 17 = -4*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5275*-5\nAnswer: -26375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59639488 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0*g**2 + 0*g - 1\/4*g**4 + 0*g**5 + 36 + 11\/6*g**6 - 46\/3*g**3. Find the third derivative of j(y) wrt y.\nAnswer: 660*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550 divided by -4404?\nAnswer: -425\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 4*a + 8 = 0, -5*a - 10 = 4*h. Suppose -p + h*p + 99 = 4*k, -2*k - 4*p + 60 = 0. Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221104 (base 5) in base 11?\nAnswer: 37a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**2 - i + 9*i + 2*i**3 + 8*i - 17*i.\nAnswer: 2*i**3 + 27*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 7. Let x be q(3). Suppose n - 52 = -n - x*c, -c = 2*n - 54. Let z = 89 - n. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -210, 113, 476, 897, 1394, 1985?\n\"Answer: 3*x**3 + 2*x**2 + 296*x - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + -2*sqrt(832) + (sqrt(91) + (sqrt(91) - (sqrt(91) + 1*sqrt(91)))*-5 + sqrt(91))\/((sqrt(14)\/sqrt(2)*-3 - sqrt(7)) + sqrt(7)).\nAnswer: -55*sqrt(13)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -196479 divided by -196479?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 + 39 = 5*w, -5*b + 81 = -2*w. What is the remainder when 82 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2861997032 to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, 8\/3, -543?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6 and -79\/282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33771 (base 9) to base 6\nAnswer: 252101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 12. Let a be g(-9). Let p be (-526)\/(-11) + (-6)\/a. Let u = -19 + p. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11202?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 m when four letters picked without replacement from {j: 1, n: 7, m: 2, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -140328.8?\nAnswer: -14032.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113389 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k - 1. Let h = 0 - -13. Suppose -3*z - 2 = h. Give r(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Let o be (-6)\/(-21) - x\/(-7). Let r be 20\/25*(49 + o). Solve 3*m = -5*t + 10, 5*t - r = m + 2*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 32\/(-12))*-54. Suppose 0 = -0*p - 4*p + x. Differentiate -3 + 5 - 4*z - 3 + p*z with respect to z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + (2 - (11 + -40) - 55)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z - 62*z - 74*z + 1 - 3 + 240*z.\nAnswer: 30*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 102*j**2 + 13323*j + 27030.\nAnswer: -3*(j - 53)*(j + 2)*(j + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11010011010101101010110110?\nAnswer: 11010011010101101010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 + 3*b + 5. Let w(i) = -2*i**2 - i - 2. Let f(x) = -7*w(x) - 2*y(x). Let z be f(3). Let c = -7 + z. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - w = 3*p + 18, -p + 9 = -4*w. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -u - 5. What is the remainder when 57 is divided by u\/8*(-200)\/90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24)*-4*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:35 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:58 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 22, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + a - 12 = 0, -21 = -9*d + 4*d - 2*a. Let y(r) be the third derivative of 1\/240*r**5 + 0*r**4 + 0*r - 3*r**2 + 0 + 0*r**d. Factor y(q).\nAnswer: q**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118310345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**11)\/(a*a*a**(-3)\/a) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/(-5) + (-2)\/(-5). Let l(b) = b**3 + 8*b**2 + 12*b + 3. Let j be l(q). What is the hundreds digit of j - (7410\/(-54) + (-6)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 22*y**2 + 16*y + 16*y**3 + 15*y**2 - 17*y**2 - 4*y**4.\nAnswer: -4*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:30 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(-8)\/(-6). Suppose -5*s + 78 = 2*l, 15 + 5 = m*s - 2*l. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -681 - -1106. What is the highest common divisor of s and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 11*y**2 + 16*y - 6. Suppose 0 = 2*b - 2 - 22. What is the tens digit of j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -3, 0.2, 4, -5, 33.427 in ascending order.\nAnswer: -5, -3, -1\/6, 0.2, 4, 33.427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szjaasisisszssj. What is prob of sequence sii?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3618865271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1168 - 1064. What is the remainder when t is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.54 + 0.34. Which is bigger: 2.4 or j?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-38)*(-12)\/9. What is the closest to -0.1 in 2, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 1\/5 (c) 142 (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/15)\/t**(-8\/9))\/((t\/t**(-16))\/t**12) assuming t is positive.\nAnswer: t**(-197\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -9 + (-4 - (0 + -13) - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(17) - sqrt(17) - sqrt(17)) + 4.\nAnswer: -5*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 2. Let v(r) = 4*r + 3. Let b(g) = -7*f(g) - 4*v(g). Calculate b(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.37 + 53.63. Let v = c + -53.922. What is v rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 17 - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306 - 306.04. Let d = a - -0.34. Sort 1.2, d, 0, -1\/4 in descending order.\nAnswer: 1.2, d, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by ((-18)\/(-45))\/(16\/1160)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 3*h**3 + 2*h**3)*(3*h + h - 2*h) + 1 + 4*h**4 + 5*h**4 + 6*h**4.\nAnswer: 13*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (775 - 176 - 2504)*(-s + s - 2*s - 2) in the form g*s + f and give g.\nAnswer: 3810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 1 - 5*z**2 - 73*z + 0*z**2 - 74*z + 30*z as f*z + c + s*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2794 is divided by 465.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8145 - 171191\/21. Let j = d - -51\/7. Let v be 3\/5 + 1 + -1. Put j, 7, v in increasing order.\nAnswer: j, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/2*(-12)\/(-15). Let p be (w + 0)*(0 - 1\/2). Which is bigger: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62595 is divided by 4800?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62656 is divided by 2408?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1330 + 1334. Solve b*s - 3*s + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*x + 16 = 0, 2*x + 3 = 2*u + 19. Let m(s) = s**2 - 33*s + 136. Let q be m(28). Let c(b) = -6*b + 1. Let w(h) = 7*h. Give q*w(a) + u*c(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-68 + 4 - -48).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 1)*(6 + 440\/(-75)). Let j = -6.86 + -0.14. Let h = -8 - j. What is the smallest value in s, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 88. Determine z(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202333332 - 10?\nAnswer: -1203000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 273. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + k + 27 = 0, -19*h - 3*k + 45 = -14*h. Suppose -4*b - 5*c = -154, -188 = h*b - 14*b - 4*c. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f**2 + 6*f**2 - 5*f**2. Let c(y) = -2*y**2. Calculate c(o(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-3)\/i*((i*i**(1\/6))\/i)\/i)\/(i**5\/(i*i**(3\/4))))**47)**(10\/7) assuming i is positive.\nAnswer: i**(-17155\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.076 in 5\/2, 4\/43, -1, -5\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/4)\/((-6)\/177). Let y = v + 520. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 5*z - 5*z)*(12*z + z + 819 - 813).\nAnswer: 26*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6 - 6 + 20*t to the form m*t + r and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 60*r**2 - 58*r + 27. Give j(59).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + 16*f**2 + 4*f + 14. Let p(b) = 7*b**3 + 30*b**2 + 7*b + 27. Let u(c) = -5*n(c) + 3*p(c). Determine u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 0.086, 2\/5, -0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 195*j**3 - 180*j**3 + 611*j**3 - 238*j**3 + j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1681 and 410?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(18) + sqrt(72)))\/(sqrt(72)\/(sqrt(588)*3)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -12. Let d = 12.7 + -5.6. Let k = u + d. What is the biggest value in 1, 1\/8, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3778960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/175032 and -69\/38896.\nAnswer: 350064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268 + 270. List the prime factors of c\/9 - (-5610)\/27.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1438 or -47482\/33?\nAnswer: -1438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1344, -1676, -2008, -2340, -2672, -3004?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.63452 - -3.63. What is q rounded to four decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gvgvvvvgvvvvvvvgvvv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47413 - 47403 + 3*u**3 - 4*u - u**2 - 4*u**3 to g + l*u + a*u**3 + p*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*f. What is the third derivative of y**2 - y**6 + y**2 - y**f wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1222*n**3*o**2*z + 5*n**3*o**2 + 31*n**3*z**2 - n**2 - 147*o**2*z**2 wrt z.\nAnswer: 62*n**3 - 294*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y - 883 + 119 = 262*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/6*-13 + (7 - 8). Is 56 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 681 - 2749\/4. Find the common denominator of h and 61\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 97*i. Let b(v) = -2836*v. What is w(b(q))?\nAnswer: -275092*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b - b + 2*b + b**2 - 5. Let o be h(7). Let r be 10\/21 - o\/6. What is the closest to -1 in r, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.41 (b) 30.8 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5265024.\nAnswer: 2, 3, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-77)\/(-4) + (-9)\/(-12). What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.043 (b) 1 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0 - i**3 - 8*i - 1 + 5*i**2 + 4*i. Let n be a(3). Let g(j) = -2*j - 2*j + 1 + n*j. Determine g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.701 + 0.301. Let d(k) = k**3 - 2*k**2 + 2. Let t be d(2). What is the smallest value in t, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -830865 - -3258865. What is s rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 3*h**2 + 3*h + 1. What is the tens digit of r(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, w: 2, z: 4}. Give prob of picking 1 z, 2 h, and 1 w.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 6. Suppose q = -6 + 9. Let t(f) = f**3 + 4*f**2 - 7*f - 7. Let s be t(-5). Solve 0 = r + s*r + k*y, -3*r + q*y + 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83*((-14)\/(-8) - (-12)\/(-16))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1993507256+6223\nAnswer: 1993513479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/3 - 14*m**3 + 136*m**2 - 529*m. Solve y(d) = 0 for d.\nAnswer: 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Let h(p) = -2*p**2 + 9*p - 4. Let s be h(4). Solve 2*a + 4 = 0, -n = v + 4*a - s*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-111)\/(-12) - (4 + 0\/(-4)) and -131\/1668.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/2*294\/441. Solve 71 = -25*p - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 73.36?\nAnswer: -293.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(36*12\/(-24)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13337 - 1610*u - 13151 + 26496)*(-4 - u + 3*u + u**2 + 2) as h*u + t*u**2 + k*u**3 + y and give k.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00304241 to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 2, z: 2, n: 1, h: 8, x: 3}. What is prob of picking 1 x and 1 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 10. Let y be b(-8). What is the hundreds digit of (-8409)\/(-45) - y\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nww when three letters picked without replacement from npwpppwpqnqppppppqpn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.465 rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 4*g. Solve 0 = -g*y + q - 9, -q + 1 = y - 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/4)\/(23\/46). Suppose 0 = v*n - 273 - 623. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5 - 20*f**4 + 53*f**3 + 458*f**2 + 672*f + 288 = 0.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 19) + -28 + (19 - 8) + 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*r = 130*r + 42532000. What is r rounded to the nearest one hundred thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 802*g**2 - 129117*g + 26. What is a(-223)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -107627968 and -5.\nAnswer: 538139840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-16514.34\nAnswer: -8257.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7498 = -0*y - 3*y, -2*f = 3*y - 7492. List the prime factors of y.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -14 - 4. Suppose 4*f = -2*b - 0*f + 10, 0 = -4*f. Let j = b - 3. Solve -m = -p + j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 2, p: 1, l: 3, h: 2, o: 1}. Give prob of picking 2 l, 1 n, and 1 h.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, -72, 18\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(114) + sqrt(114))*-5)\/(2*sqrt(96)))**2.\nAnswer: 475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - (sqrt(165) - (-3*sqrt(165)*3 - sqrt(165))))\/sqrt(3))\/(-5*2*sqrt(1584)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41012, -40976, -40940, -40904, -40868, -40832?\nAnswer: -40796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -d32?\nAnswer: d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 51. Let s be 0\/(0 - (-4)\/w). Suppose -4*j + 264 - 44 = s. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 + p**2)*(3*p + 0*p - 5*p) - 8*p**3 - 4*p**3 + 3*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(684) + -1)**2 - ((sqrt(684)*1)**2 + 5).\nAnswer: -2744 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - 0.082575891?\nAnswer: -43.082575891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*h**3 + 167*h**3 - 341*h**3.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14633244709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -70. Which is the smallest value? (a) f (b) 8 (c) 5 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 301670596 - 301676477.02669. Let i = a + 5881. Let y = i - -0.027. Round y to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 605 - 653. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*q**3 - 329*q**2 wrt q.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 not equal to 942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**7*y\/(y\/(y*y\/(y*y**(14\/3)))) assuming y is positive.\nAnswer: y**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213790*n**4 - n**3 - 2475906*n wrt n?\nAnswer: 2565480*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g*g**(-2\/7))))**(3\/23)\/(g**(1\/20)\/((g**(-1\/6)*g)\/g)))**(2\/31) assuming g is positive.\nAnswer: g**(-2453\/149730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**2 + 2564*h + 87202. What is u(459)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 27*k + 393. What is the tens digit of z(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-6))\/(1\/(-35)). Suppose 2*t - 151 = -a. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d - 4*x, 5 = -2*d + 4*x + 1. Differentiate -5 + d*j - j + 8 wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 13*d + 29*d - 15*d)*(-272*d - 18*d**2 + 272*d) - 3*d**3 + d**3 + d**3 + 3*d**3 + 2*d**3 - 7*d**3 + (-6*d - 7*d + 5*d)*(-2*d**2 + d**2 - d**2).\nAnswer: -5*d**3 + 54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52 - -6*1012\/264\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7047.238 + 7049. What is f rounded to 2 decimal places?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7798+-0.141\nAnswer: 7797.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 121181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/20*((-64)\/(-12) - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592.7 - -46.\nAnswer: -546.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 1528460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/35 at most as big as -69478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)\/f*f\/(f\/(f\/(f\/f**13)))*f*(f**6\/f*f)\/f**14 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 3. Let i be h(6). Let y = i - -10. Suppose y*j - 9*j = -44. What is the smallest common multiple of 18 and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**3*h*h**2)\/((h**(-2\/3)*h)\/h**(-2)) assuming h is positive.\nAnswer: h**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(112) + 1 + 2*sqrt(112))*-4 + -4)**2.\nAnswer: -384*sqrt(7) + 16144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -3 - (-53 - -42). Solve -7*k - 72 = q*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2632 - -7897\/3. What is the third biggest value in v, -0.54, -4, 5?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 43*u**6\/30 - 19*u**5\/60 + 1895*u**4\/8 + 6711*u**2. What is the second derivative of v(d) wrt d?\nAnswer: 1032*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (-14)\/(-4))\/(2\/8). What is the second biggest value in s, -3, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -140? (a) -2\/7 (b) -1.86 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38 + -1*(-2 + 0). What is the highest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3754.8139 + -0.8139. Let b = g - 3754.7662. Round b to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257655313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8831 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from afaaakkkqikk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + -189790572.\nAnswer: -189790572.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 3 + 19\/6*w**4 + 0*w**2 - 26\/3*w**3 + 0*w**5 + 0*w**6 + 19*w - 1\/42*w**7. Find the second derivative of i(h) wrt h.\nAnswer: -20*h**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1415500 and 2299.\nAnswer: 171275500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-3))\/(-28)*-5\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-4)\/(-2) + (1426 - -12). Suppose l = -0*r + 15*r. Let d = r - 94. Sort 5, d, -10 in ascending order.\nAnswer: -10, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -410615, -410351, -410087, -409823, -409559?\n\"Answer: 264*l - 410879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -2, -5, 11 in increasing order.\nAnswer: -5, -2, 11, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/127, -29, -5 in descending order.\nAnswer: -3\/127, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + n**2 + 4*n - 3. What are the prime factors of l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/(-420) - 44\/(-308). Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 14*c + 17. Let d = 8 + -6. Let u(t) = -2*t**2 - t**d + 2*t**2 - 5*t - 6. Give 4*n(j) + 11*u(j).\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 + 11*l**2 + 11*l + 57. Let a(u) = 2*u**3 - 4*u**2 - 4*u - 19. Let v(q) = 11*a(q) + 4*g(q). Differentiate v(j) wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8 + -4 + -2 + 6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 44. Let p be (0 - 1185\/5)\/c. Is 5 a factor of p\/(-6) + 2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -968 in -0.2, 86, -683?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 8\/(-12) + 2\/(-6). Solve h = 2*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12739 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*c + 5*n + 4, 2*n + 8 = 0. Let x = -18 + 21. What is q in 10*q**4 - 5*q**5 + 2*q**3 + 5*q**x - 2*q**3 - 10*q**c = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2451207 and 9.\nAnswer: 7353621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 500270754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24766 divided by -22?\nAnswer: 12383\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 + 30*g**4 + 36*g**3 - 1052*g**2 - 3234*g - 2178 = 0. Calculate g.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16835\/4810*-1*2\/14 - (-170)\/(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/418)\/(51\/(-68)). Let f = l + -4709\/4180. What is the common denominator of -127\/36 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 2, a: 6, q: 4}. What is prob of sequence aw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = v - 5. Suppose n - 1 - 6 = g, -4*n - v*g = 7. Suppose n*x - 21 = -7. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**2 - 225*y - 1795. Determine n(-19).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z - 1. Let j be f(-1). Suppose 5*y - 165 = j*i, -5*y - 16 = i - 175. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 433*v + 3 + 437*v - 3 in the form f*v + c and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4024 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 21210011211?\nAnswer: 21210011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/27 and (-1 + 0)*1 - 167\/(-30).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 7. Suppose -8*h = -5*h - g. Suppose h = f + 2. What is the second smallest value in f, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.12 (c) -2560 (d) -4\/5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + n - 4. Let j(f) = 16*f**2 + 6*f - 21. Let l = -29 - -49. Suppose 4*h = -l - 24. Determine h*w(x) + 2*j(x).\nAnswer: -x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - 3 - (-5698)\/(-74).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 0 - (1041 - 1090).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvc when three letters picked without replacement from mcaxhv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 29110289.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5 + i**4 + 25*i**3 - i**2 - 168*i - 144 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428884 and 2804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-140) + 510\/(-1100)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z - 349. Let y(t) = 7*t - 108. Let j(r) = 6*n(r) - 19*y(r). Determine j(17).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344847 at least 344844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(39\/(-12) - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 25 = b, -59*s + 64*s + 25 = 0. Solve 4*n = -a + 6, a - b*n + 18 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 >= -1158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*c - 98, 2*x - 6*x - 50 = -c. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 2 = 4*g. Suppose q - 6*q + g = -2*h, 0 = 4*h + 3*q + 8. Let u = h - -7. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -4 + (3 - 0). Suppose p + k*p = 16. Calculate the lowest common multiple of p and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/540 and -167\/58080.\nAnswer: 522720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 1, d: 2, p: 2, n: 1, r: 1}. What is prob of sequence ns?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -z + 112, 29*z - 34*z + 2*g = -532. Calculate the remainder when 268 is divided by z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14716845 to the nearest integer?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 54\/10)\/(((-56)\/8)\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.711 + -2.121. Let h = -49 + l. What is h rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819020 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 1, u: 4, g: 10}. Give prob of sequence gzhg.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54745 (base 9) to base 5\nAnswer: -2130304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*f + 70*f - 2 - 17*f - 21*f - 6*f**2 as v*f**2 + c + g*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.02 (c) 6\/21779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 45. Let j(m) = -5*m**2 + 20*m + 20. Let u(g) = g**2 - 5*g - 5. Let o(d) = y*j(d) - 9*u(d). Let i be o(-5). Solve 3*z = 4*z + i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-1995) - 47\/((-16967)\/(-38))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/6 - j. Let o(i) be the second derivative of 10*i**4\/3 + 5*i + 59. What is o(d(y))?\nAnswer: 160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 14 - 1)*(-5 + 4 - 1)*(f - f + 3*f**2).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -31*i**4\/24 + 25*i**3\/3 - 56*i**2. What is the first derivative of g(p) wrt p?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:13 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 19*r**2 + 28*r**2 + 23*r**2.\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -3, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1420238930 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411543.\nAnswer: 7, 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4518 - 6504. Let w(g) = -g**2 + 6*g + 4. Let a be w(7). Is ((-12)\/(-8))\/(a\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -66, 5, 1, 9\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 123099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/2 + 3477*u**3\/2 + 1913058*u**2 + 643126520*u + 641215200 = 0.\nAnswer: -1420, -636, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61622 - -1015869271\nAnswer: 1015930893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(104)*-2 - sqrt(104))\/(sqrt(8)*-4*-1).\nAnswer: -11*sqrt(13)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 17 - 10 + (2 + 0 + 0)*(-1 + 0 + 2))*(3*o - 6*o + 0*o).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/9 + 29\/72. Let u = -23 + 24. Which is the nearest to 5? (a) p (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w - 5545 - 405 + 666 = 449 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 527934 to the power of 1\/2, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrm when three letters picked without replacement from rpklklkpmkllkpl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 178*h + 3. Let b(i) = 43*i + 285. Let c(f) = 23*f + 152. Let v(z) = 8*b(z) - 15*c(z). Determine v(j(d)).\nAnswer: -178*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 10*f - 2. Let b be r(-6). Suppose -b*v = 33 - 83. Solve -v*w = -3 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 2*s - 3. Let d = 7 - 13. Let i(t) = t**3 - 3*t**2 - 3*t - 4. Determine d*c(r) + 4*i(r).\nAnswer: 4*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/24*2 - 0. Suppose 5*t = -5*m - 14 - 36, -2*m + 5 = -3*t. Let v = 11.9 + -12. What is the nearest to v in 4, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(50)\/(3*sqrt(50)\/sqrt(5)) + 0 - ((1 + sqrt(605))*6 + -5)**2).\nAnswer: -21780 - 395*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 203*o + 9041. Calculate d(-45).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5452000 to the nearest 100000.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*n - 432 - 39 = 0, 5*n = -3*c + 471. Suppose -5*b + 68 + c = 0. Let h be (1 - (-14)\/4)*2. Calculate the greatest common factor of b and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b456 (base 13) to base 11.\nAnswer: 143a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 8.8. Let v = j - 7.5. Let u = -1 - -2. Sort -5, v, u in decreasing order.\nAnswer: u, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*a - 1916 = 138*a. Does 73 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 950068 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703846 divided by -1177.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 30. Let h = w - -128. Calculate the remainder when h is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a*(a\/(a*a**(2\/5)))\/a*a))))**(-29))**(15\/7)\/((a\/(a\/(a*a*a**(-2)))*a*a\/a**2)\/((a**(-2\/9)*a)\/(a\/(a\/(a**(-5)*a))))) assuming a is positive.\nAnswer: a**(-1265\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -6 - -23) + -1. Suppose u*w + 299 = 11485. Suppose 2*j - a = -2*j + w, j - 3*a - 170 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*64\/(896\/(-28))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18*g**(-2\/3))\/((g*g**7*g)\/g)**(-22) assuming g is positive.\nAnswer: g**(580\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p + 34. Let b(f) = -30*f - 77. Let r(y) = 4*b(y) + 9*k(y). Let d(g) = 24*g. Determine d(r(q)).\nAnswer: 576*q - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 36*c**2 + 253*c - 246. Give r(6).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*z**2 + 10*z**3 + 39*z**2 + 0*z**3 - 112*z**2.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*q + 84. Which is smaller: -1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/90 and 109\/16030.\nAnswer: 144270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, y: 2, p: 1, u: 2, h: 2}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206*d - 861*d = 20700 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 4, c: 7}. What is prob of picking 1 p and 2 h?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 79 + 17. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-18)\/15)*2. Solve -9 - 6 = -v*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9009*s + 0 - 2290*s + 0 in the form p*s + w and give p.\nAnswer: 6719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 1, h: 3, m: 2}. What is prob of sequence mksm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110044144 + 21?\nAnswer: -110044123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -457, -428, -361, -238, -41, 248?\n\"Answer: 3*u**3 + u**2 + 5*u - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123269.\nAnswer: 123269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3*b + 3*b)*(1 + 2*b - 1) + 2*b + 2*b**3 - 2*b + (b - b + 6*b)*(-3*b**2 + 0*b**2 - b**2).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/1496 + (-100)\/(-66)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3511.99816 + 3512. Round z to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2461348 + 3*i + 2461348.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Suppose 2*j - 5 = h + 3, 0 = 2*j - 2*h - 4. Calculate q(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/4 - 1\/2. Is -2\/3 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29100977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**3 - 562*h**2 - 1352*h - 99. What is q(96)?\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19547*i**5*p - i**3*p - 36299*i**2*p + p wrt i?\nAnswer: -1172820*i**2*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/(-66) + (-1280)\/(-1760)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.9052 + 9.9. Round z to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 410 - 186. Let t(q) = -q**3 - 3*q + 1887. Let b be t(0). Let w = s + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/(-45)*1\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 - 175 + 29 + p - 2*p.\nAnswer: -p - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -1761303\nAnswer: 1761303.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 6416371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610696 is divided by 130.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 2, d: 2, n: 2, a: 1, b: 3}. Give prob of sequence nadj.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-2)\/1 + 1). Let r be (-14)\/(-8) + 2\/8. Factor -2*q - q**r - 4 + 2 + j.\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 7. Let h be r(-3). Let g be (h + -1)\/(6\/(-96)). Suppose 5*i - g = -2. Are i and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2137.7951 + 0.7049. Let b = l - 2138.559965. Let h = b - -0.06. Round h to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:08 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**3 + 2*y**3 + 4*y**3 + (3*y**2 - 2*y**2 + y**2)*(4 + 2*y - 4) + 9*y**3 + 5*y**2 - 5*y**2.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12300301 + 11201?\nAnswer: 12312102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7408674 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 -n - 2490 = 2*i - 675, -3*i - 2703 = -5*n. Let y = -517 - i. What are the prime factors of y?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(85)*2 + sqrt(85) - sqrt(85)))\/((sqrt(5) - -2*sqrt(5))*-6).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine quarters of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.265 - 1.265. Let x = -1.5 + -0.5. What is the nearest to v in x, 0.9, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*(347 - 333 - 974)*(1 + 0*a - a + 2*a) to p + m*a and give m.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 45*a**2 + 528*a - 484.\nAnswer: (a - 22)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3610805677 to the nearest integer?\nAnswer: 60090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 2967 - 3201 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkckkkkkkk. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4629290655.\nAnswer: 3, 5, 11, 17, 1650371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311007, -622013, -933019, -1244025, -1555031, -1866037?\nAnswer: -2177043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4 - 3\/2*l**2 + 3*l - 2\/3*l**3 + 25. Let n(a) = -a**3 - a**2 - a + 1. Give -2*k(f) + 6*n(f).\nAnswer: 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 1 - 23. Let u = r - 9. Solve u*p - 4*f = -14, 3*f - 13 + 1 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 74894?\nAnswer: 2321714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times -1895585\nAnswer: 530763.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6)*u**10)**(-3\/4)\/((u\/u**(1\/4)*(u\/(u*u**4*u))\/u)\/(u\/((u**1*u)\/u))**(4\/15)) assuming u is positive.\nAnswer: u**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, -9, 1\/393?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - c - 1847 = c, 0 = 4*a - 2*c + 1474. Let b = 574 + a. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 y, and 2 b when four letters picked without replacement from fbbbbbybbbhybb.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 42 + 98 - 56.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 7*d**4 + 10*d - 3*d)*(3*d + 16*d + 11*d).\nAnswer: 210*d**5 + 90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1371*-1811\nAnswer: -2482881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 10084*t**2 - 140444*t + 130364.\nAnswer: -4*(t - 2507)*(t - 13)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -210. Suppose 3*j + 120 = -2*t, 270 = -5*j + t + i. Calculate the common denominator of (-3 - -1) + (-324)\/j and 87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 595 divided by -5\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 11. Let y be c(-12). Are y and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(76) + sqrt(76))*-5*2 - (sqrt(152)\/(sqrt(8)*-1) + sqrt(228)\/sqrt(588)))**2.\nAnswer: 1426444\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -40 + (9 - -2 - 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 0. Let x(n) = -1029*n + 1 - 2 - 1030*n + 2053*n. Suppose -3*q + 0*q = -15. Let s(p) = 7*p + 1. Calculate q*s(g) + y*x(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 22302?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 + 49.14?\nAnswer: 454.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/7)\/g))**(2\/95)*(g*g*g\/(g\/((g*g**(-7)*g)\/g)*g))\/(g*g**(1\/14)) assuming g is positive.\nAnswer: g**(-1611\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270749 - 0.09625325.\nAnswer: -270749.09625325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2254561 smaller than -36072967\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54542208 by 103.\nAnswer: 529536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011021 (base 3) to base 16.\nAnswer: -69d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110110101100 (base 2) to base 4\nAnswer: 312230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((168\/70)\/(6\/2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 21. Let x be z(8). Which is smaller: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -4 (b) 9 (c) -9 (d) -56 (e) 2\/7 (f) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((24\/(-2))\/4)\/(12\/8). Let w(z) = -7*z + 1. Let r be w(2). Let k = g - r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v - 39*v + 2 - 2 + 107*v.\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702619796?\nAnswer: 2, 175654949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*f - 1756, -5*f + 3*c - 644 + 5047 = 0. Suppose 9*k + 2*k = f. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8\/9)\/q**(-1\/9))\/(q**(-22))**(-2\/31))**(-2\/19) assuming q is positive.\nAnswer: q**(1226\/5301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -19503773.\nAnswer: -19503773.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1989057992 and 6.8436.\nAnswer: -1989057985.1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4) + 264\/440*(-5)\/(-6). Solve o - 10 + 9 = 0, -a*c - 4*o = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18536.277294 + 0.\nAnswer: -18536.277294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 10. Let q be ((-6)\/(-42)*-7)\/((-3)\/3). Let h(f) = -f - 1. Determine q*t(o) + 5*h(o).\nAnswer: -o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549279 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15534 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4*w**2 - 11343*j**3*w**2 - 2*j**3 + 1835*j**2*w**2 + 45*j wrt j.\nAnswer: -24*j*w**2 - 68058*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -393 - 2146*f + f**3 + 392 + 2*f**4 + 2144*f + 7*f**2 in the form q*f**4 + n*f**3 + x + m*f**2 + s*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 + 377e?\nAnswer: 37a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 655880392 to the nearest integer?\nAnswer: 25610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**14\/p)*p*p*p\/(p*p**(1\/3))*(p**(-3))**(-2\/13) assuming p is positive.\nAnswer: p**(-385\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6178 - -5?\nAnswer: 6182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 3*n**2 + 4*n - 5. Let g(f) be the third derivative of -f**6\/30 - f**5\/12 + 7*f**4\/24 - 3*f**3\/2 + 3*f**2. Calculate -7*a(d) + 4*g(d).\nAnswer: -2*d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.292258 to two decimal places.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56155, 56154, 56153?\n\"Answer: -w + 56156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191610 is divided by 309.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871517 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 1244. Let k(s) = 315. Determine -2*j(c) + 9*k(c).\nAnswer: -2*c + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 100\/36 - 5\/((-135)\/6). Suppose -4*l - i = -3*s, -5*l + 15 + 15 = 3*s. Suppose -1 = -l*z + 17. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-302)\/((-5 - 0) + 4) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(i + 7*i - 12*i) - 3 - 2*i + 3 to m*i + q and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/93708 and -107\/1200.\nAnswer: 9370800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/5472 and 51\/1120?\nAnswer: 191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4798, 4820, 4856, 4912, 4994, 5108, 5260, 5456?\n\"Answer: i**3 + i**2 + 12*i + 4784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 25*u**4 + 3*u - 18. Let g(x) = 24*x**4 + 4*x - 19. Let k(h) = 4*f(h) - 3*g(h). Differentiate k(y) with respect to y.\nAnswer: 112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 27*n**2 - 4 + 0.\nAnswer: 27*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 7. Let f = 20 + -20. Let c be s(f). Let p be (60\/c)\/((-2)\/21). Calculate the highest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13078276 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 503620 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 328181*h**2 - 656358*h = 0. What is h?\nAnswer: -328179, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 411*u - 410*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a376 + -4?\nAnswer: 10a372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1289, 1, -22 in decreasing order.\nAnswer: 1, -22, -1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yppp when four letters picked without replacement from ypyyypyppyyyyyyypy.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*u - 6*u. Solve -c - 4*x = -u*x + 9, 0 = 2*c - 5*x + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-69)\/((-1725)\/(-100)))\/6. Let k be (-1)\/((-26)\/(-4) + -2). Let d be 0*(-2 + 1) + -5. Which is the nearest to y? (a) -4\/9 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 8*f**2 + 3*f - 4. Let h(y) = 5*y + 202. Let b be h(-42). What is z(b)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7548437 to the nearest integer?\nAnswer: 2747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134846, 134849, 134852, 134855, 134858?\n\"Answer: 3*o + 134843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 + 184.978. Let z = -3407 + 3400.078. Let b = z - t. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {a: 1, f: 2, e: 9, h: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.27639ml to litres.\nAnswer: 0.01027639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3.78 (b) -8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cooc when four letters picked without replacement from {o: 4, z: 5, t: 4, c: 3, b: 1, d: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 7*h**4 - 3*h**4 + (-250*h + 222*h**3 + 250*h)*(2*h + 7 - 7).\nAnswer: 447*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 82?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/10, -158, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 500988, 1002592, 1504182, 2005752, 2507296, 3008808, 3510282, 4011712?\n\"Answer: -j**3 - j**2 + 501614*j - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 11. Let q(b) = b**2 - 2. Let j(p) = 22*q(p) + 4*s(p). Let k(d) = 8*d + 6. Let t(n) = 7*n + 4. Let y(i) = 2*k(i) - 3*t(i). Give y(j(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3044 - 0?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -47. Which is bigger: 12 or y?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 11. Suppose 0 = -3*y + 222 - s. Suppose 52 = 2*g - 3*i, -3*g + 2*i + y = -0*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*5*(2 + (sqrt(30)\/sqrt(3)*-1)\/(sqrt(14)\/(sqrt(7) + sqrt(7)*1))).\nAnswer: -47 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/14)\/5)\/(2*-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccgc when four letters picked without replacement from xcxcgxxcxcx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, v: 15}. Give prob of picking 3 f.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/360 + j**5\/12 + 5*j**4\/12 - j**3\/6 - 2*j**2. Let x(q) be the first derivative of y(q). Does 8 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((-1)\/(-3)*6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f + 0*f**2 + 0*f**3 - 2 - 5\/6*f**4. Let w(d) be the first derivative of n(d). Let x(c) = -2*c. Calculate w(x(b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 181 and 3767696?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3879 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148318377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 = -3*w, 4*w - 2*s = -0*w + 10. Solve w = 5*b + f - 20, b - 15 = -b + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 865 - 1623. Which is greater: v or -759?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/64 and -79\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684807876.\nAnswer: 2, 3, 337, 911179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + -721?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -0.2 (c) -2\/5 (d) -9\/2 (e) 0.2 (f) -306\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-134)\/12 + (-157)\/(-942). Let y be (-2)\/(-4)*1\/(-2). What is the third smallest value in s, y, 2, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 30537 (c) 7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 - 21 = 2*u, -3*u - 15 = 0. Let f be ((-4)\/(-5))\/(n\/25 + -1). Let k(v) = v**2 - 4*v - 6. Let l be k(f). Solve -4*m + 10 - l = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 20. Let q be z\/(-8) + (-3)\/(-4). Suppose 5*f - 4 = 6. Solve 18 = 4*u + f, -q*d - 6 = -3*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2 + 1 - (-8)\/4. Which is the biggest value? (a) -2 (b) 0.5 (c) 2\/3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**4\/4 - 7*w + 51. Suppose -3*m + 2*m + 2 = 0. Let v be ((m - -1) + -3)\/(-1). Calculate p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81375)\/120)\/25*4\/(-7)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96598 = -52*y - 7*y + 70018. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*x + 20 = 0, -f + x + 28 = 3*f. Let g(z) = 23*z - 35. Is g(f) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4\/5 - 568*f**3\/5 - 1056*f**2 = 0.\nAnswer: -132, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 + 14916*x**3 + 22952226*x**2 + 11239153380*x - 11262120525 = 0. What is x?\nAnswer: -2543, -1215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 944899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 8 + (-5 - -10) - -2) + -51.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*r**5 - 24480*r**4 - 19436*r**3 + 20576*r**2 + 19536*r + 3904 = 0. What is r?\nAnswer: -244, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 - 14*u - 5. Let b be w(2). Put -4\/9, -4, b, -1 in ascending order.\nAnswer: -4, -1, -4\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -22. Let z = 2 - i. Suppose 34 = -z*t + 3*t. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -26*j**2. Let f(d) = 7*d - 2415. What is f(n(b))?\nAnswer: -182*b**2 - 2415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1546, 1640, 1796, 2014, 2294?\n\"Answer: 31*g**2 + g + 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddyp. What is prob of sequence dyp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 11*y**2 + 20*y + 25. Let k be w(-9). Let o(s) = -s**3 + 5*s**2 + 42*s - 1. What is the units digit of o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*a**5*f**2 - 7*a**5 + 16*a*f**2 - 2*a*f + 13*a + f**2 wrt a.\nAnswer: -1820*a**3*f**2 - 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -73*a**7\/105 - 25*a**4\/24 + 9*a**2. What is the second derivative of m(d) wrt d?\nAnswer: -1752*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x - 13. Let q(y) = 3*y + 7. Let u(a) = -7*q(a) - 4*w(a). Let r be u(-3). Let t be 1 + (-1 - r\/(-16)). Sort 4, t, -2.\nAnswer: -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112537 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 - 4*c**3 + 3*c**3)*(13 - 8 + c + 0*c) in the form z*c + d*c**3 + p*c**2 + g + l*c**4 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*g = -191, -5*a - 135*g = -132*g - 229. Let c(d) = 227*d + 1 - 1. Calculate the remainder when c(1) is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*l - 6557, -y - 2 = -2*y. Let z = l - 1216. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 less than or equal to 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 404 (base 8) to base 5\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 3779\/60. Let k(x) be the third derivative of 0*x**4 + 0*x + 0*x**3 + c*x**5 + 0 + 4*x**2. Let g(u) = -2*u. What is k(g(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 5 + (sqrt(1584) + -2 + 1*sqrt(1584) + sqrt(1584) + 0 + sqrt(1584)*1 + sqrt(1584))*1)*-1)**2 + 5.\nAnswer: 240*sqrt(11) + 39609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/81756 and 179\/15660?\nAnswer: 11854620","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340129668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3915.154075 rounded to the nearest integer?\nAnswer: -3915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 2, 3, -4, -1, 4 in descending order.\nAnswer: 55, 4, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10067*u = -530472 + 188194 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = -5*s, -2*u - s + 3*s = -14. Suppose 24 = 5*g + u*g. Which is the fourth biggest value? (a) -1\/7 (b) 5 (c) 1\/10 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 5*b + 3. Let a be c(-5). Let y = 52 - 49. Is a less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3371 - -3370.5. Which is the biggest value? (a) q (b) 2 (c) -355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 - 13*d - 16. Let f be v(-11). Suppose -f*l - 9 = -183. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2)\/(-4)*-74. Let i be 0 + -3 + d\/(-16). Which is the third biggest value? (a) 2 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-284*o**3 - 73*o**3 - 69*o**3)*(0*o - 6*o + 5*o).\nAnswer: 426*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -13. Let h = 6 - s. Let i be (-18)\/63 - (-2)\/(-42). Sort i, 1, h in descending order.\nAnswer: 1, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -29 + 30 + 23 + (-7 - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11665436*r*x + 13158740*x wrt r?\nAnswer: -11665436*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (7 - (-76 - 8 - -21)) + 1.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0\/(10\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*p - 2*p. Let f be (15\/(-4))\/((-6)\/8). Solve 4*w + 5*v = 45, 0 = -f*w - 2*v + p - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1*3*3)\/((sqrt(72)*-1)\/(sqrt(32)*2 + sqrt(2))).\nAnswer: -81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2417032*p**4 + 12*p**2 - 15*p + 7321 wrt p?\nAnswer: -58008768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020957288 rounded to seven decimal places?\nAnswer: 0.0002096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*h - 122 = -2*t + 3*t, 0 = 4*h - 120 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 13 = 11. Let w(u) = 5 + 4*u - 1 + 27*u**2 + 187*u**2 + 147*u**j. Is w(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-616)\/(-6204))*6\/((-72)\/(-4))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8184)\/(-9548))\/(282\/14)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13860 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i - 157 = 5*a, -279 = 4*i + 3*a. What is the least common multiple of 14 and -2 - i\/(-2 - -5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/108 and 161\/468.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 30. Determine q(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -66.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-303)\/12 + (-1)\/(-4). Let r = z - -10. Let j be 785\/r + 1\/3. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1682.\nAnswer: 8410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.58013653 to 3 decimal places.\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6354)\/(-12) - (-1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*p + 18 = 0, -2606 = -4*z - 5*p - 2627 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58734 - 40879. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*f**2 - 12*f**2 + 28*f - 7*f**2 - 67 + 27 - 12*f**3 = 0. Calculate f.\nAnswer: -1, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -286106\/147 or -1947?\nAnswer: -286106\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8106431 + 8284769901\/1022. Let l = 19\/73 - x. Find the common denominator of ((-4)\/32)\/(5\/350) and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*m + 169*m + 171*m - 808*m + 158*m + 155*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 9*p = 0. Let g(i) be the second derivative of -2*i + 0 + p*i**2 + 1\/2*i**3. Let a(b) = 3*b. Calculate g(a(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n. Let f(r) = -79*r. Let k(v) = f(v) - 13*m(v). Let c(y) = -14357*y. What is k(c(j))?\nAnswer: 14357*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(7 + -3)*(8 + -3). Let m = -52 - -80. Suppose 0*v = -4*v - m. Sort v, i, 3.\nAnswer: v, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by -384.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 195.\nAnswer: -12\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/60)\/(1\/(-3) - 0). Suppose 0 = 3*s + h - 158, 0 = 3*s - w*h - 2*h - 148. Let d(j) = -36*j - 56. Let f be d(-3). Is f > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804\/10*8100\/180.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 2*u**2 - 12*u - 1. Determine t(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 25 = 5*a, -a + 2*s = 3*s + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 4\/(-8)*14) + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.88 + 4. Let p = -0.12 + h. Which is the smallest value? (a) -4\/9 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49323238.\nAnswer: 2, 24661619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 215?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y**2 - 66*y - 279. Determine q(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 137 + 152 = 0. List the prime factors of (2 - 4 - -68) + 12\/l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1888*i**2 - 1888*i**2 - 11*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.43\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25*h**2 - 2*h - 7. Let c(l) = -46*l**2 - 4*l - 14. Give -3*c(i) + 5*u(i).\nAnswer: 13*i**2 + 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2.61?\nAnswer: -1.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/15*18\/(-14). Let z = 29\/28 - 9\/7. What is the nearest to z in 0.5, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 5 - 5)*(3 - 3 - f)*(-9 - 3 - 32)*(-1 + 1 - f) as a*f + g + j*f**3 + y*f**2 and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -488573 and -1?\nAnswer: 488573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -7691458?\nAnswer: 2\/3845729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105467 + 100756 - 206223 + 13*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 35 + 9 = -4*h + 3*s, -52 = 5*h + 6042*s - 6045*s for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 367\/10?\nAnswer: 367\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmz when three letters picked without replacement from {z: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21030)\/167)\/(-6) + (19 + 10 - 50).\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.822 and -1068.\nAnswer: -1068.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Suppose -r*k - 12 = b - 31, -b = -2*k + 2. Solve 3*i = -0*i - k*v - 3, -3*i + 5 = 5*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 7*x + 1. Let g be n(4). Which is the nearest to 0.1? (a) 2\/5 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -94939248?\nAnswer: 9493924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 12. Let n be 438\/(-8) - 4\/s. Is (-1773)\/(-11) - (-10)\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(192) + 1) - -2*(sqrt(192) + -1))*-4)**2.\nAnswer: 5376*sqrt(3) + 28432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-13102)\/(-12)) + (-6)\/36. Let s = 1735 + j. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3297*s + 182. Let c(u) = 109*u + 6. Let w(y) = -91*c(y) + 3*p(y). Let o(n) = 169*n. Determine w(o(a)).\nAnswer: -4732*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61943121.\nAnswer: 3, 17, 61, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1757*r = 1368*r + 1945. Let o be 2\/4 - (-10)\/(-52). Factor 0 + 0*v - 10\/13*v**3 + o*v**2 + 8\/13*v**4 - 2\/13*v**r.\nAnswer: -2*v**2*(v - 2)*(v - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t. Let m(k) be the second derivative of 8*k + 821 - 3*k - 825 + 2*k**3. Calculate y(m(c)).\nAnswer: 144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 11*u**5\/60 - 2*u**2 + 32. Let j(k) = -k**2. Determine j(q(r)).\nAnswer: -121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -897 - 650*o + 16 + 652*o as l + u*o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 41 - 8. Solve 6*h = o*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12441001399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -9, 0, 99828.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6127931 - 6127931 - 63*c**2.\nAnswer: -63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 68690\/110 - 18\/(-33). What is the greatest common factor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 3 - 0 - ((-22 - -46) + -53)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 14517*j**2 + 72660*j.\nAnswer: -3*j*(j - 5)*(j + 4844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 19. Let c be o(-19). Factor 4\/5*n**2 + c*n**3 - 2\/5*n + 0 - 4\/5*n**4 + 2\/5*n**5.\nAnswer: 2*n*(n - 1)**3*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9375691.\nAnswer: 13, 721207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 2*s, -9 = 5*s + 2*o - 26. Suppose -2*d - 40 + 297 = 5*u, -252 = -5*u + s*d. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/7474 and 1\/4848.\nAnswer: 179376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -732143, -732116, -732077, -732020, -731939, -731828?\nAnswer: -731681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-26)\/8 + 173\/4. Suppose 3*o + 32 = -5*c - d, -4*c - 28 = -4*o. What are the prime factors of 902\/132 - (1 - (-14)\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2\/9 - 280*j\/3 + 39200\/9 = 0 for j.\nAnswer: 70, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 0.1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-349.\nAnswer: -558.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1139108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.7, 0, 0.23, 6.39, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/10*-164 - (-2)\/(-10). Let p = z - -41. Suppose -3*s = 0, -5*g - 10 = -10*g - 5*s. Solve 0*i + 8 = g*i - 5*l, -2*i + p = 4*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 126.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 + 4*c - 4. Let n(x) = x**3 + x - 1. Let t(u) = 4*n(u) - w(u). What is the third derivative of t(p) wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24900 = -5*x, 5*k = 62*x - 63*x + 62223. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147266 divided by -1099?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Suppose 3*d + 6 - 24 = -2*o, 7 = l*d - 3*o. Solve 3*q - 7 = q - 5*t, -24 = 3*q - d*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from zzmmzzzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 35 + 59 - 167*f + 51*f + 5.\nAnswer: -116*f + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 345315.8 from -13.\nAnswer: -345328.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 32299 - 81496 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 130953042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(((-23)\/828)\/((-10)\/(-4))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 8 - (-9 + 18 + -5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 0.053173.\nAnswer: 0.00691249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -43*f + 24 + 48. Let t(h) = h**3 + 8*h**2 - 6*h + 12. Determine t(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (11 - (5 + 1))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/19*(-646)\/(-1938)*14\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3686)\/(-660) + (-19)\/(133\/42) and -97\/231?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*o**2 + 230*o**2 - 6*o**2)*((3 - 3 + 1)*(0 + 0 + o) - 11*o + o + 0*o).\nAnswer: -1593*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2132 + 2148. Sort y, 3, -2, 5, -5 in increasing order.\nAnswer: -5, -2, 3, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 34 = -5*h, -2*i - 2*h = 19 + 3. Let l(v) = v + 17. Let u be l(i). Suppose -10 = -4*j + u. Calculate the lowest common multiple of 11 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 60*u + 60. Let g(b) = -b**2 + 15*b - 15. Let p(t) = -15*g(t) - 4*s(t). Let v be p(-6). Solve 5*l + 3*n = 4*n - 3, -2*l = -v*n - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 13) in base 10?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*g + 1488 = 0, -2*q + 7*q - 2*g - 1506 = 0. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -983 in -13, -1\/3, -0.3, 1\/4, 3\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1146\/5 + 230. Which is the second biggest value? (a) h (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 11*q + 108. Determine g(15).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - 2*y**2 - 22*y - 27*y - 22*y + 37*y as w*y + k + v*y**2 + t*y**3 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from sssssssssmmsssmsms.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 433, 1245, 2453?\nAnswer: 4057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -285476 * -0.215\nAnswer: 61377.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1983, 0.1 in descending order.\nAnswer: 0.1, -3, -1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10101011001111111 (base 2) to base 7\nAnswer: 513424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1\/6, 119, 1, 0.4 in decreasing order.\nAnswer: 119, 1, 0.4, -0.04, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016675 rounded to four decimal places?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**2 - 35*t**2 - 33*t**2 + 204*t**2 - 32*t**2 - 40*t**2.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + -54482237?\nAnswer: -54482292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10957, 10965, 10973, 10981, 10989?\nAnswer: 10997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159693 or 159689?\nAnswer: 159689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:51 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((3 - -5) + -14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 217719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(200) - (sqrt(200) + sqrt(200) + 0 + sqrt(200))*-1) + (sqrt(200) - (sqrt(200) + 2*sqrt(200) + sqrt(200) + sqrt(200))*-3))*-5)**2.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y = 4*p - 40, 4*y - 52 = -4*p. Let g(k) = -k - 4. Let f be g(y). Let b = f + 57. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 27. Let i be c(-7). Let y(z) = -11*z**3 - 2*z - 1. Let t be y(i). Suppose -7*x + t*x = 3405. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 11 + 32*m**3 - 48*m**3 + 18*m**3 + 2*m as r + v*m**3 + p*m + x*m**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) 104 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1620 - -11254. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*y - 6646*y**2 + 18706*y**2 - 145*y + 11024*y**2.\nAnswer: 23084*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4643105 times 10?\nAnswer: 46431050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 475*g - 923. Let p(s) = 3*s**2 + 792*s - 1536. Let m(w) = -12*j(w) + 7*p(w). Factor m(z).\nAnswer: -3*(z - 2)*(z + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by (52\/(-14) - -4)\/(12\/504)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9672*-69\nAnswer: -135.7368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.24109147 to 2 decimal places.\nAnswer: -10.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 7*j**3 + 7*j**3 + j**2 + 6*j in the form x*j**3 + s*j + k + y*j**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 11*b = -100. Suppose -u + 2*k - 8 = 0, 3*k - 4 = 11. Solve -3*l - u*l = -b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1709 + -1409. Solve -30 = o*v - 295*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4 - 2 + 2*y**2 + 4*y**2. Let l be 4\/(-3) + 70\/(-42). Let b be t(l). Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1 + (y - y - y)*(-3 - 2 + 6) + 0 + 0 - y - 6*y + 2*y + y)*(-2*y**2 - 2 + 2)*(0 - 3 + 0).\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2030)\/(-29))\/(-10)*2\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -957*49\/(-1078)*60\/(-72)*(-8)\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5208 = 10*g + 21*g. What is the greatest common factor of 216 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-354.\nAnswer: 849.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1222207 (base 8) to base 10\nAnswer: -337031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -7, -5, 6\/11, 2\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21774 (base 9) to base 6\nAnswer: -151021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 13 = 2*s + q, 6 = 2*s - 3*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 2*g**4 - 55*g**2 + 60*g**4 + 55*g**2 wrt g.\nAnswer: 248*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/60 and -125\/72618?\nAnswer: 726180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 156*i - 1379. Let t(q) = 55*q - 460. Calculate -17*t(a) + 6*z(a).\nAnswer: a - 454","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132473 and 94?\nAnswer: 12452462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235.68 + -1607.08.\nAnswer: -1842.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-48) - 1992\/(-288)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 66*f + 102 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/12, -12, 0.4, -1\/2 in ascending order.\nAnswer: -12, -4, -1\/2, 1\/12, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8*a**(2\/9)*(a\/a**(-6\/7))\/a*a**4*(a**(2\/3))**(-4\/15)*a*a\/(((a*a**(-3\/8))\/a)\/a)*a**1 assuming a is positive.\nAnswer: a**(43537\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-5)\/(sqrt(48)\/sqrt(32) + sqrt(6)).\nAnswer: -20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 16. Let i be n(-4). Let c(m) be the first derivative of 5 - i*m + 1\/2*m**2. What is the derivative of c(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0*q + 1 + 8*q**2 + 24 + 3*q - 1 + q**3. Let w be x(-8). Suppose w = 5*k - 3*k - 8. Solve 8 = -4*c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293 is divided by 323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 3 + (-10 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3829 + 1.4. What is j rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -33, 6\/11, -3503, -5\/6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-95) + (-7)\/(-35)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123638*v**2 - 123645*v**2 - 123637*v**2 - 123627*v**2 + 494546*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2809 is divided by 2696.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 2. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/8)\/g)\/g)\/g*g**(-7\/6)\/g*g**(-8)*g*g**(1\/3) assuming g is positive.\nAnswer: g**(-275\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:05 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*y + 727 - 685, 0 = -5*g + 5*y - 45 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104408 is divided by 370?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 14. Suppose -l + 3 = -6*p + t*p, 5*l - 3*p - 15 = 0. Suppose 3*r - 12 = l. Solve 7 = -2*g - g + c, 5*g + r = 5*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Let g = 7 - n. Suppose -u + g*i = 3*u - 123, -5*i - 42 = -u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*w + 295*w = -8*u - 3, -7 = 4*u + 3*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/(-410) + 4\/2 + 17\/(-11)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836014?\nAnswer: 2, 418007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1074773 (base 13) to base 10\nAnswer: 5036801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: c95b6 (base 16) to base 11\nAnswer: 513720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -222 + -5b?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1556, -1645, -1800, -2051, -2428?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyq when three letters picked without replacement from {y: 2, c: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3\/7 - 300106*n**2\/7 - 2700881*n\/7 - 342968 = 0?\nAnswer: -300097, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 17. Suppose 31 - q = 5*k. Suppose -k*y = -2*y - 3*b - 5, -3*b = -3*y + 9. Is y != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 466163 and 6845.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005615 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(176))**2 - (1*(-1 + sqrt(11) - sqrt(11)) - -2*sqrt(1100)).\nAnswer: -44*sqrt(11) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 77 = 10*l. Solve 3*v - 10 + 5 = 5*w, 0 = 2*w + l*v + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-149)\/(-4) + 1 + (-5)\/5. Let n = r - 37. Which is greater: 2\/5 or n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 45*n**2 + 5*n + 242. Calculate f(-45).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12696 divided by -3?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.43 in 10708, 1, -1\/7, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 3 - -4) + (-4)\/3. What is the nearest to g in 0.3, -11, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79722 is divided by 107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 + 1\/30*l**5 + 1\/2*l**3 - 1\/90*l**6 + 0*l**2 + 0*l**4 + 2*l. Let d(h) be the second derivative of c(h). Factor d(z).\nAnswer: -4*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Let s(t) = -3*t**3 + 2*t**2 - 3*t + 7. Let o be s(3). Let j = o - -94. Solve 0*g + j = g + n*d, 5*g + 3*d - 35 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 359 + -79. Let q = y + -280.00117. What is q rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 + 7*i**3\/3 + 3*i**2\/2 + 3*i + 7. Let a be -1 + 3\/((-3)\/(-8)). Is 17 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0*x - 1\/105*x**7 - 12*x**3 + 5*x**4 - 119*x**2 + 1\/6*x**6 - 37\/30*x**5 + 0. Factor b(u).\nAnswer: -2*(u - 3)**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -62*w + 63*w, -5*z - 16 = -3*w. Solve 2*g - 10 = 0, -4*v + w*g = -0*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-660)\/462*364\/(-65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32255 divided by -6451\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -23*d + 50. Suppose -2*q - 65 = -5*w - 3*q, 3*w - 31 = q. Are d and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)*-4)\/(sqrt(48)\/(sqrt(8)*-5)).\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 12:14 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + f)*(-61*f**4 + 20*f**4 + 25*f**4).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 2. Let x be g(4). Let h = x + 56. Let w = -3 - h. Solve 0 = 4*r - 5*k + w, -r + 0*r = 5*k - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 0 - (6 + (-8 - -5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 5*w**3\/3 + 15*w**2 - 18. Factor s(q).\nAnswer: 5*q*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4876016327.\nAnswer: 7, 13, 53582597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -84, -122, -158, -192, -224?\n\"Answer: s**2 - 43*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 384241, 768472, 1152695, 1536916, 1921141, 2305376, 2689627?\n\"Answer: b**3 - 10*b**2 + 384254*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -188 times -42.3\nAnswer: 7952.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, f: 5}. What is prob of picking 2 z?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 691 + -258. Is 54 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1570\/15 + -9 + (-400)\/(-48)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 121*f**3 - 5*f + 459*f**2 + 6*f.\nAnswer: 121*f**3 + 459*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 2791688046?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 4*h**3\/3 + 3. Let r(z) = -z + z - 3*z + 2*z. Give r(c(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:15 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 20823000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -19.62. Let l = i - -1.78. What is the fourth smallest value in -3, -1, -3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16213 + 8304 = 324*b + 8471 + 13104 for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - 3*c**4 + 2*c**4 + (0 - 2*c**3 + 0)*(3*c - 2*c + 0*c) - 170*c**4 - 238*c**4 - 787*c**4.\nAnswer: -1195*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 75*k**2 - 180*k = 0. What is k?\nAnswer: 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18086980 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3823835, -3823842, -3823849, -3823856, -3823863?\n\"Answer: -7*l - 3823828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*c**2 + 31 + 32 + 26 - 92 in the form v*c + y*c**2 + k and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + 314?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 11 - 11)*(m**3 + 1 - 1 + (-2*m + 3*m + 3*m)*((-2*m**2 - 6*m**2 + 0*m**2)*(2 + 2 - 2) - 3*m**2 + 5*m**2 + 0*m**2)).\nAnswer: -110*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*u - 22*u + 67*u - 19*u - 4 - 111*u**2 as o + v*u + t*u**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/55)\/(4 - 5). Let r = 1 + -3. Are p and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 4*w - 2. Let u be m(5). Suppose 3*l - v = 48, -4*l + u*v - v + 62 = 0. Calculate the greatest common factor of 34 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.65 + -2.15. Sort 3, 12, v in increasing order.\nAnswer: v, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9806\/3 - -3310. Let a = t + -41. Put -2\/15, a, -0.3 in descending order.\nAnswer: a, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3643227342 by 5.\nAnswer: -3643227342\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1059\/(-1170) + 1 + (-16)\/120. Which is the closest to w? (a) 1 (b) -0.4 (c) 3\/8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*l + 3. Let j(h) = -h**3 - 2*h**2 + 1. Let a be j(-1). Suppose -y + m + 3*m - 14 = 0, a = -y - 4*m + 10. What is the closest to y in l, -4\/3, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.1033 litres in millilitres?\nAnswer: 716103.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1*8\/12)\/(-1*24\/684)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15036 = 25*j - 3689. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547110 - 12*j**3 - j**2 + 547110 + j**2.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtddtdddddddddddtdtd. Give prob of sequence ddt.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -20*a**2 - 3. Let w(l) = -10*l**2 - 3. Let s(p) = -3*u(p) + 5*w(p). Let g(y) = -3*y**2. Determine g(s(k)).\nAnswer: -300*k**4 + 360*k**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79799 and 1038183?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2238321 rounded to 4 dps?\nAnswer: -0.2238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116021?\nAnswer: 181, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223616 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 value of (24\/(-64))\/((3\/(-12)*1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25\/2*3\/((-45)\/12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-1) - 4)\/(0 + 1). Suppose -45 = -7*o + 10*o. Let m(h) = -2*h - 35. Let g be m(o). Put -2, v, 1, g in decreasing order.\nAnswer: 1, v, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3700*v + 1 - 9697*v - 8165*v.\nAnswer: -14162*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3, 10.\nAnswer: -4, -3, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449434610*t + 449434623*t + 0 + 0.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d - 385. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17051905441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let h(n) = -3*n + 15. Let m(i) = -h(i) + 5*j(i). Suppose -c + 60*k - 54*k = 38, -1 = -3*c - 5*k. Give m(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-1 - 0))*-1. Suppose m*d - 19 = 17. Let l = -10 + d. Are l and 8\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 13. Let t(b) = b**2 - 3*b + 3. What is the remainder when l is divided by t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5417780*c**2 + 3*c - 1. Let i be q(-3). Suppose 4*y = -15*w + 20*w - i, -3*y + 5*w = 36570010. What is y rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*0 - (3 + -4). Suppose r - 48 = -3*j, 32 = 2*j + 4*r - r. What is the smallest common multiple of u*j - 12\/6 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100 and -18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(28)\/sqrt(2))\/sqrt(2) + (sqrt(7) + (sqrt(7) - (sqrt(7) + 0)))*3*-1)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. What is the first derivative of -6*b**4 + 3*b**4 + 4 - 5 + t wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 28 = -48*r + 43*r, -3*r - 14 = u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 407*i**3 - 13*i**4 + 2*i**2 + 194*i**3 + 214*i**3 to q*i**3 + h + o*i**2 + p*i + l*i**4 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-18300)\/630 - -29).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98787961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37042399*m**2 + 34040330*m + 1?\nAnswer: -74084798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 583, 592, 615, 658, 727, 828, 967, 1150?\n\"Answer: k**3 + k**2 - k + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 589 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 135*j**5\/4 + 36*j**2 + 52*j - 2. Differentiate m(a) wrt a.\nAnswer: 2025*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 0*j)*(8*j**3 - 21*j**3 - 11*j**3) + 0*j**4 + 4*j**4 - 5*j**4.\nAnswer: 23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.9 (b) -1\/4 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 46, 65, 102, 163?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443904 is divided by 86?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 0*z = 30. Suppose z*s = -d + 8, -s - 2 = d - 0. Let r(h) = -13*h + 9. What is the hundreds digit of r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 18}. Give prob of picking 2 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a + 42*a - 32 = 0. What is the lowest common multiple of 12 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38\/513 - (-2373259)\/189?\nAnswer: 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630916371 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 44. Suppose -5*u + 39 = -z, -6*z + 4*u = -z + 90. What is the tens digit of s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8515, -47, -7 in descending order.\nAnswer: 8515, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 0*l**3 + 5*l**3 + (1 + 3*l - 1)*(-6*l**2 + 3*l**2 + l**2).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3191 is divided by 1311?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -366*z**2 - 421?\nAnswer: -732*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499203 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1939 + -1666. Let t be -1 + (-2 - -1) - 150. Let a = l + t. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-10)\/2)\/1)\/(-1). Suppose 18 + 7 = l*u, 4*w - 2*u = 2. Let r be (-2)\/w + (-1)\/(-3). Which is the closest to 0.1? (a) 4 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 38, 87.\nAnswer: 1, 38, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54118 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15663*t - 4 + 15649*t - 550*t**2 - 31312*t to a*t + q*t**2 + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(176))*2 + -6*(sqrt(176) + -2 + sqrt(176))*-2)**2.\nAnswer: -2048*sqrt(11) + 45312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l + 60. Let x be 6\/2 - l\/(-3). Sort -4, x, 11.\nAnswer: -4, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5087 (b) -5 (c) -4 (d) -1 (e) -1\/3 (f) -0.014\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -88. Does 16 divide 42 - s - (0 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.002 * 0.2\nAnswer: -3.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 687 + 60*j**4 - 687 + (-5 + 5 - 6*j**2)*(2*j**2 + 2*j**2 - j**2).\nAnswer: 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -148*x. Let z(l) = -60207*l. Let p(y) = -1220*h(y) + 3*z(y). Let u(f) be the third derivative of f**4\/24 + f**2. Give p(u(o)).\nAnswer: -61*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let a(d) = 67*d - 1544. Give f(a(v)).\nAnswer: 67*v - 1545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q - 239 = 0, 0 = 2*c + 3*c + q - 292. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/65))*d)\/d*d*d**19 assuming d is positive.\nAnswer: d**(1298\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-50))\/(1\/35). Let n = -7 + 1. Let l be n\/(-4)*56\/x. Calculate the greatest common factor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmpbmmmbbp. What is prob of picking 1 m and 1 b?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9179.\nAnswer: 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/49 and -26\/24621?\nAnswer: 1206429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 2, q: 1, m: 2, u: 5}. What is prob of picking 1 q, 1 g, and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3833868, 7667748, 11501642, 15335556, 19169496, 23003468, 26837478?\nAnswer: 30671532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26131652*d**5 + 7*d**3 - 15233590*d wrt d.\nAnswer: -522633040*d**3 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/120 + t**5\/12 - 7*t**4\/24 + 5*t**3\/6 + 2701*t**2. What is x(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 26. Let k be o(-8). Put -5, -3, k in descending order.\nAnswer: -3, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**2. Let c(a) = -637 + 637 - a**2. Calculate c(j(m)).\nAnswer: -256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)*6\/4 + 3. Let d = -19 - -136. Suppose y*c - d = -3*c. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1086 + 321. Let q = b + 762. Put 2\/29, -3\/10, q, 2 in ascending order.\nAnswer: q, -3\/10, 2\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**6\/270 - 13*i**5\/45 + 121*i**4\/54 - 166*i**3\/27 + 47*i**2\/6 + 377*i + 2. Find h, given that n(h) = 0.\nAnswer: 1, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*h**3*n*z**3 - 4*h**3*n*z + 6*h**3*n - n*z**2 - 3*n*z - z**4 wrt z.\nAnswer: -1026*h**3*n*z - 2*n - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/1250, 5, 7 in decreasing order.\nAnswer: 7, 5, -3\/1250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(36)\/sqrt(3))\/(sqrt(42)\/(sqrt(7)*-3)).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 62. Let f be (-4 - 18\/d)*2\/2. Which is the closest to f? (a) 4\/7 (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 4, b: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/5 - 7368*b**2\/5 - 4129101*b\/5 + 16634228\/5 = 0?\nAnswer: -527, 4, 7891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 115?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -4*g + 28. Calculate the common denominator of ((-21)\/18)\/(10\/(-15)) and g*3\/(-18)*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3333111.\nAnswer: 3, 109, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960475 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522522 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-30)\/30*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*(j**(-27)\/j)\/j)*j))\/(j*j**(6\/7)*j*j*j))\/(j**(-11\/4))**41 assuming j is positive.\nAnswer: j**(2209\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, -10, -2 in ascending order.\nAnswer: -10, -2, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 5*c**4 - c**4 + (-1 + 1 + 1)*(-c**2 - 2*c**4 + c**2) - 2*c**4 + 4*c**4 + c**4.\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/36*-39 + -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-3)\/(-3 - 111)) + 3. Let v = g - 48. Let h = -29 + v. Solve -t - 3*q + 3 = h*t, -5*t + 11 = 2*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**5\/120 - d**4\/12 + 2*d**3\/3 - 1. Let x(q) be the third derivative of l(q). What is the units digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -45482, 2 in increasing order.\nAnswer: -45482, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 214, 742, 1622, 2854, 4438, 6374?\n\"Answer: 176*r**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 59*q - 8. Let b be u(-1). Let c = b + 75. Solve c - 11 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiucciiiiunchiumh. What is prob of picking 1 h, 1 c, and 2 u?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 435 + -307. Suppose w = 7*r - 3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29604\/17 - 1742. Let h = n + 84\/85. Let d = -1.3 - -0.3. Is d bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2814*u**3 - 2*u**2 + 2*u + 9. Let d be w(5). Let q = 634719 - d. Round q to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 + (-7 - (-4 - -6)))\/(2\/272). Solve -126*k + 10 = -t*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 68 (b) -42.64 (c) 1.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 5*f + 40075 = 0, 0 = 2*w + 4*f - 80126. Suppose 3*m + 2*m - w = 0. Suppose 2*a + 179 = d + 3384, 4*d = 5*a - m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 14*w + 18. Let o be g(13). Suppose -3*x + 192 = o*z, -3*z + z + 56 = -4*x. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 175*x**4\/6 - 13*x**2 - 2. Let f(c) = 2*c. What is y(f(n))?\nAnswer: 1400*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(20)\/sqrt(180)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**7\/70 + b**3\/6 + b**2 - 2*b. Let f(v) be the first derivative of j(v). Differentiate f(a) with respect to a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4769 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-5))\/(10\/(-25)). Is 1 + 51 - z\/6*0 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = -19. Suppose -m = -2*a + a. Solve a*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.03 - -10.05065. Round t to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/13299050 and 48\/9309335?\nAnswer: 93093350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u**2 - 5*u + 4. Let m be a(5). Let s be -1*0*(-2)\/m. Suppose s = t - 38 - 29. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*f - 47*f - 1880 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5*270\/1404.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o - 15*o - 4*o)*(-1 + 0 + 0)*(8*o**4 - 4*o**4 + 14*o**4).\nAnswer: 108*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001300 rounded to the nearest ten thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27272426.5 rounded to the nearest 1000?\nAnswer: 27272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 38 (b) 0.2 (c) -14284 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -24*v**2 - 907*v + 2129. Determine o(-43).\nAnswer: -3246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4339870 to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30500*h**5 - 454*h**2 + 8*h + 1?\nAnswer: 1830000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(14\/(-120)) - (2 - -1). Let r = q + 111. What is the highest common factor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32102.04 centuries to millennia.\nAnswer: 3210.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 11*j**2 - j - 6. Let o(a) = -a**3 - 12*a**2 - 2*a - 6. Let c = 1 + -7. Let q(w) = c*o(w) + 7*z(w). Give q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 545, 671, 797, 923?\n\"Answer: 126*q + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z + 1142125 - 169920. Is z\/(-15) - 2\/3*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 14) to base 6\nAnswer: -1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = d - 1, m - 8 = 4*d - 3*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3\/7, -0.04?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 339 = -4*z, -4*c - 3*z + 468 - 66 = 0. Let s(g) = g**2 + g + 3. Let m be s(-4). Calculate the greatest common factor of m and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 360111900 to the nearest 1000000.\nAnswer: 360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 29 = -3*l, l - 2*m - 5 + 14 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 3. Let q be f(-2). Let v(y) = -9*y - 43 + 19 + 25. Give v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58965*t**3 + 75656 wrt t?\nAnswer: -176895*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*z + 12, -4*z + 4 = -2*w - 5*z. Suppose w = -n - 2*l + 15, -2*n = -4*n + 5*l - 15. Differentiate 18 + 0*s**2 + n*s**2 - s**2 - 10*s**2 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3404345107 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 179955058 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 31. Let m = -112 - -132. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 0.03, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 + 5*v**3\/6 - 23*v. Factor a(p).\nAnswer: p*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -8.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -22.3. Let a = 21.4 + j. Let q = -4.4 + 4. What is the third biggest value in a, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -32. Let n(j) be the third derivative of 0*j**4 - 1\/48*j**6 - 2*j**2 + 0*j**3 + 1\/105*j**7 + 0 - 1\/672*j**8 + 1\/60*j**m + 0*j. Factor n(d).\nAnswer: -d**2*(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 875 and 51065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 15. Let m(s) = -3*s - 7. Let i be m(k). What is the common denominator of (4 + -2)\/(i\/86) and -38\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 20\/3*c - 10\/9*c**4 + 0 + 2\/9*c**5 - 14\/9*c**3 + 58\/9*c**2 = 0.\nAnswer: -2, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (5 - 1))*(1 + -1). What is the smallest common multiple of 4 and 30*1*((-10)\/(-15) + c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o + 8782 = 9430. What is the remainder when o is divided by ((-15)\/(-6))\/(1\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379597825?\nAnswer: 3, 5, 11, 23, 125407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 3.04. Suppose 1 = 2*d + 3. Let k be d\/2 - 11\/(-154). Which is the third biggest value? (a) 4 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7 or -1839\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 132\/30 + -2*4\/20. Let z(g) = -g**3 + 5*g**2 - 2*g - 5. Let y be z(4). What is the highest common factor of y and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 + 13*t**2 - t - 6. Let o(d) = -23*d**3 + 38*d**2 - 3*d - 17. Determine -17*l(v) + 6*o(v).\nAnswer: -2*v**3 + 7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-872)\/(-327))\/(6\/9). Let v(r) be the third derivative of 1\/24*r**d - 1\/60*r**5 + 0*r - 7\/6*r**3 + 0 + 1\/120*r**6 - 20*r**2. Give v(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 8*p + 7. Suppose -p*j - 9 = -5*j. Let f be (j - 0)\/(1\/(20\/15)). Solve 4*v - a = -4, 5*a - 5 = v + f*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-2 - 19))*-1. Let b = 22 + j. What is the third derivative of 3*v**b + 2*v**3 - v**2 + 4*v**3 wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doqjjq. Give prob of picking 1 d, 1 o, and 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5 - 3. Suppose -q = -c + w, w + w = -4. Suppose c = 3*m - 34 - 92. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + n + 53. Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17a06 (base 16) to base 4\nAnswer: -113220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 10350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = -5*y, -4*y + 0*y = -8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 6*b - 17*b = -18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q - 4*p = 10, -5*q + 2*p = -17. What is the units digit of (-12)\/(-3) - (q + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 494 - 170. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*(0 - 18\/15). Suppose 3*z - 5*v = 102, -3*z = -v - 72 - g. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.2, -4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758235.\nAnswer: 3, 5, 50549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241 by -183.\nAnswer: -241\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -495.999999247 + 496. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618527774.\nAnswer: 2, 1309263887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 4*k**3 + k**3)*(-2*k - 3*k**2 + 2*k) + (1 + 3*k**4 - 1)*(2490 - 2490 + 97*k).\nAnswer: 282*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153646355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c - c + c)*(3 - 4 + 2) - 5*c + 3*c + 3*c + 0*c - 3*c + 0*c)*(1 - 3 + 3)*(1 + 1 - 4).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8700906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.113, -9, 1041, 2\/5 in descending order.\nAnswer: 1041, 2\/5, -0.113, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/56149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25357238*f**3 + 226434848?\nAnswer: -76071714*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m)\/m**6*m**(-1\/3)*(m\/m**(1\/4))\/m*(m*m**1\/m*m**(2\/11))**(-2\/11) assuming m is positive.\nAnswer: m**(-5515\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-34))\/((-180)\/1530). Let n(m) be the second derivative of -1\/6*m**4 + 2\/5*m**5 + 0 + 0*m**3 - y*m + 1\/2*m**2. What is n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-1) - 4)*2. Let i be -1 - 26 - (f - -4). Let u = -27 - i. Calculate the remainder when 11 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7835b3 + 16?\nAnswer: 7835c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2378722*r**3 + 47*r**2 + 23461.\nAnswer: 14272332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.063 * -0.1.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 10 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1685128, -1\/5, 3 in descending order.\nAnswer: 3, -1\/5, -1685128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 51, 72, 91, 108, 123?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 8:06 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*c**3 + 16*c**2 - 4*c - 5475.\nAnswer: -45*c**2 + 32*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxx when three letters picked without replacement from hhhhhhhhhhhxhhhhhhhx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1064 and 139\/24.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3110689*p**2 - 4*p + 3. Let l be v(1). Let h = l + -1410688. Round h to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 63804.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 54, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.1. Let o = -685 - -265. Let r = o + 3784\/9. What is the closest to c in 5, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 29*c - 710. Determine g(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {s: 5, t: 11, h: 2, w: 1}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + c + c - 2 + 2*c.\nAnswer: 9*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-45))\/(-2*3\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 2. Let o(f) = -6. Let s(q) = -12*l(q) - 4*o(q). Let r(h) = -30*h. What is r(s(g))?\nAnswer: 360*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s = -53*s + 164910. What are the prime factors of s?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 15. Let v be s(12). Suppose 0 = 3*p + 3*x + 6, -16 = -2*p + 2*x. Solve p*d - v = 3*n, 6*d = d + n + 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100.4 - 100. Which is the closest to -1.2? (a) 2\/9 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 4}. Give prob of picking 2 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 21 + 127*p to r + o*p and give o.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13445429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 n when three letters picked without replacement from bbnjnnbjninnjj?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**4 + 256*d**3 + 973*d**2 + 534*d = 0?\nAnswer: -3, -2\/3, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-209)\/(-22) - 11)\/((-9)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26446627 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.143, -0.1, -1.9, 97\/6, -0.5?\nAnswer: 97\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16479?\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 782346, 1564648, 2346950, 3129252?\n\"Answer: 782302*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100112212001111120 - -2?\nAnswer: -11100112212001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 46*f - 7407. What is y(162)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mabbppbqpaqqqqqqapda. Give prob of sequence dmqb.\nAnswer: 7\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*j - 10*j + 16, -46*j = -5*g - 49*j + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25700?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -59e95?\nAnswer: -59e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 2, -1, -11, -2\/7 in increasing order.\nAnswer: -11, -1, -2\/7, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/203917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*x - 12027434 = 11*x + 12995026. Round x to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(325) + (sqrt(325) - sqrt(325)*2))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q**3 - 38*q**2 + 9*q + 83. Let a(u) = -6*u**3 - 18*u**2 + 4*u + 42. Give -9*a(t) + 4*f(t).\nAnswer: 2*t**3 + 10*t**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f + 2. Is f less than 11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 + 7\/1. Suppose m*t = 66 + 25. Solve t*h + 3 = 10*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(209)*-3 - sqrt(209)))\/((-2*sqrt(1188))\/sqrt(3)).\nAnswer: 25*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3317, 471\/11, 9?\nAnswer: 3317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*j = -100, -5*d + 2*j + 3*j = -200. Suppose -7*f - 16 = -3*f, -153 = 3*h - 3*f. Let r = h - -79. Calculate the highest common factor of d and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4338 (base 12) to base 16.\nAnswer: 1cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4561\/(1\/3*30\/(30\/3))?\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 - a + 2. Let c be p(4). Let l = 16 + c. Solve -4*m - 6 = l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*v + 290*v + 18*v - 63*v.\nAnswer: 468*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f + 5. What is b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*o**3 - 26 + 65*o**2 - 133*o**2 + 68*o**2 wrt o?\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046642 to 7 decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = 2*h + 4, 4201*r + 3*h = 4205*r - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/147 + -620\/49. Let i = -4585\/3 + 1551. Calculate the common denominator of i and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 21. Let x be r(-4). What is the fourth biggest value in -7, 3, 2\/17, x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530267226?\nAnswer: 2, 11833, 64661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -61, -86, -127, -190?\n\"Answer: -x**3 + x**2 - 11*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127458 is divided by 724?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/520 and -29\/5961.\nAnswer: 3099720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.09 + 3. Let f = n - 0.91. What is the smallest value in f, 2\/3, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 33. Let s(v) = 82*v**3 - v**2 + v - 1. Is 9 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 22*h**2 - 35*h - 142. What are the prime factors of o(-4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 25*t - 15. Let n(o) = -2*o**2 - 13*o - 8. Let r(v) = 5*n(v) - 3*w(v). What are the prime factors of r(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70, -66, -62, -58, -54?\n\"Answer: 4*t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {w: 5, y: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2215.8606 months to decades.\nAnswer: 18.465505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1 + 2. Let g be ((-4)\/2)\/(0 - 9\/2). Is n at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 6*h**2 + 2*h - 6. Let u be v(-7). Let x = u + 639. List the prime factors of x.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -5) + 11 + (-17 - 1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2 + 6*m + 6. Let c(z) = -15*z + 7*z**2 + 4*z + 9*z**2 - 6 - 5. Let x(v) = 6*c(v) + 11*q(v). Let k(w) = w. Determine k(x(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/23 and 67\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z - 16. Let o = z + 9. Let p(j) = -j**2 - 7*j + 6. What is p(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*c = 3*d - 28, 4*d + 2*c = 38. Suppose 5*t + 7 = 32. Calculate the highest common divisor of d and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 6*h**2 + 3*h - 6*h**3 - 7 + 5*h**3. Let g be t(7). Is g bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2237224 (base 8) in base 9?\nAnswer: -1123050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1028\/9 or -1916?\nAnswer: -1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 69?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 2*a + 4*h, -5*h + 19 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is cc4bc (base 16) in base 11?\nAnswer: 521774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - 4*k + k + (-3*k - k + 6*k)*(-3 + 8 + 10) - 2*k + 3*k - 2*k + (2 - 3 + 2)*(-k - 3*k + 2*k) - 13*k - 11*k + 0*k in the form a + h*k and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27924701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*s - 38 = 0, 8*s - 20 = 5*p + 3*s. Let v(q) = -q**2 - 7*q - 9. What is v(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2\/(10\/3))\/(117\/780).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(8\/5))**(-1\/60))**(5\/6))**(-26))**(17\/6) assuming k is positive.\nAnswer: k**(2873\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4 - 51\/(-12)). Let d(h) be the third derivative of -2*h**2 + 0 + 1\/3*h**m + 0*h - 19\/60*h**5 + 2\/3*h**3 + 7\/120*h**6. Factor d(g).\nAnswer: (g - 2)*(g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= 962.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 43*g**2 + 22*g + 13. Let l be p(-23). Suppose -3*q = -q - l. List the prime factors of q.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2. Let x = -57 - -83. Suppose -w - 9*b = -4*b - x, 16 = 4*b. Let d(s) = s**2 - 6 + w. Give m(d(u)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 7) to base 13.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.18 in 2\/7, 30, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f - 5. Suppose -5*r + 12 = 4*p, -4*r + r + 8 = 2*p. Give l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4153 and -0.6.\nAnswer: 2491.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from nvnnvvnnveveevvev?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 5. Let z(d) = -d**3 + 7*d**2 - 8*d - 3. Let m be z(6). Let n = m + 22. What is the remainder when n is divided by v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290\/782881 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18069107 and 31430.\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j - 3*n - 36 = 0, -52 = 4*j + 5*n. Let p(s) = -s - 10. Let b be p(j). Is (b - -1)*-39 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9315 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4187703 is divided by 310?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = 5*v - l, -v - 2*l = -13. Suppose -7*x + 3*x - 8 = 4*y, 6 = -x - v*y. Which is the smallest value? (a) 7 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5211, -3516, -1807, -78, 1677, 3464, 5289?\n\"Answer: h**3 + h**2 + 1685*h - 6898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, -84.\nAnswer: -84, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 0.00456.\nAnswer: -18.00456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2240 - -2249. What is the biggest value in 6, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 6*r, -d = 3*r - 21. Let k(f) = 1 - 14*f - 12*f + d*f. Let o(u) = 2*u**3 + 2*u**2 - 2*u - 3. Determine -3*k(w) - o(w).\nAnswer: -2*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4942 + 4922 - (-1 + -1 + -45)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c**3 + 19*c**3 + 35 - 43*c**3 - 35.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 247, 30, -4, 3 in decreasing order.\nAnswer: 247, 30, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) - (-60 + 60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 15*k + 4. Let o be c(11). Let t = -31 + o. What is the remainder when 32 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139)\/1251*(-1 + 10) + (-46)\/2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1797*u + 214866 = -2288*u - 27*u + 133*u for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let t be 17 - (1 - v - -1). Suppose -2*u + t = u. Solve 3*y = -2*y + u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2010 + 2022. Let y = -6 + 10. Sort y, i, -2 in decreasing order.\nAnswer: i, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 2 - (-1 - -4 - 7). Let i(w) = -w**2 + 5*w + 25. Let g be i(t). Suppose 5*k - 8 = z + 5, 5*k - 15 = 0. Solve 4*a - a - z*n = -9, -n - g = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 1, m: 3}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -447, -443, -439, -435?\n\"Answer: 4*m - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/154)\/1*(-41)\/(-82)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9476\/593 or 15?\nAnswer: 9476\/593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 - 105 = 12*k - 285 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(48)*-3).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/312)\/((-2)\/33580). Let l = -701 - x. What is the common denominator of l and -63\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r + 20*r - 33*r as m*r + f and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 262*t**2 + 8*t + 1048.\nAnswer: -2*(t - 2)*(t + 2)*(t + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*d + 9 = 0, -3*f + 3*d + 83573 - 83564 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c, 4*c - 30 = -5*r + 540. Suppose 7*p + r = 12*p. Find the second derivative of -40 + p*z**2 + 2*z + 40 wrt z.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/12861 and -23\/18.\nAnswer: 25722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 3. Let z be t(-14). Let n be ((-198)\/(-135))\/z + 28\/15. Solve 4*b = -o + 11 - n, -2*o - 3*b + 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -2 + sqrt(6)\/(sqrt(9)\/sqrt(3)).\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5317?\nAnswer: -5316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17954, -17956, -17958, -17960, -17962, -17964?\n\"Answer: -2*r - 17952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83703.2l?\nAnswer: 83703200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 885*y + 91 - 9*y**3 - 885*y - 5*y**3 wrt y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*o - 179047 - 155435 = 0. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -89321*k + 89321*k + k**2. Let h(g) = 331*g. What is h(o(u))?\nAnswer: 331*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10282.31 millilitres in litres?\nAnswer: 10.28231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05547 - -0.12547. Which is smaller: 322 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -19) + (744 - 789) - (2 + 6).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 10. Suppose -y = -3*w + 1. Suppose -3*t + 81 = q + 23, 3*q + w*t - 167 = 0. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f - a = 1220, 3*f - 5*a = 932. Let n = 215 + f. What are the prime factors of n?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.39 - 0.61. Let z = 29 + n. Which is the nearest to 1? (a) -4 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (444\/(-14))\/((-168)\/(-1568)). Is o < -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0238 + -18.9762. What is the second smallest value in z, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694976264?\nAnswer: 2, 83, 349, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**2 + 2\/3*s**3 - 14*s + 0. Let q(l) = 11*l**2. Calculate q(o(p)).\nAnswer: 176*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 103. What is r(37)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 79 = 5. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 1 + 1)*(d - d - d) + (-2 + 2 - d**3)*(-2 + 2 + 2*d) - 4*d**4 - 3*d**4 + 5*d**4 + 4*d**4 - 3*d**4 - 3*d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 76. Suppose -q - 1071 = -5*n. Let w = -110 + n. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 5*g + 2*g. Let x be (-119)\/g + (-3)\/4. Which is bigger: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 6*y**4 - 4*y**4)*(4*y + 2*y - 4*y + (1 - 1 + 1)*(0*y + 2*y - y) - 4 + 4 + y) - 47*y**4 - 2000*y**5 - 19*y**4 + 66*y**4.\nAnswer: -1996*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3\/8*q**2 - 3\/4 + 3\/8*q = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 347.8982 milligrams?\nAnswer: 0.0003478982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 + 2*t. Let f(i) = -6*i + 13. Let v be f(3). Calculate d(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 8*n**2 + 1. Let r be u(-8). Let q be 15\/12 - (5\/(-10) + r). What is the closest to -1\/4 in 0.5, 1, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 570001*k**3 - k**2 - 3*k + 2. Let p be r(2). Suppose 3*g = -0*g + p. What is g rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5397560*f**3*h**4 + 11*f**3 - 2*f**2*h**4 + 2*f**2 + 2*f*h**2 - 2*h - 6028 wrt h?\nAnswer: 129541440*f**3*h - 48*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*o - 4*f, -2*o = 2*o + 3*f - 250. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 110*c = -112*c - 9, 5*t + 15 = -4*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 68994050 to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273048?\nAnswer: 2, 3, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than or equal to -24\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*g + 21 = 0, 5*g = -3*i - 33 - 9 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + sqrt(175) + 2 + (sqrt(175) - (sqrt(175) + 0 + -4 - sqrt(175)) - 6*(sqrt(175) + 1 - sqrt(175))))**2 + -4)*-4.\nAnswer: -2848 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115610869 and -0.967.\nAnswer: -115610869.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3*y - 2*y + 6 + y)*(-3 + 0 + 5 + (-4 + 0 + 9)*(-2 + 0 + 0) + 3 - 2 - 3 + (-2 - 1 + 1)*(1 + 0 + 0) + 0 - 5 + 4).\nAnswer: 52*y + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21020+-1.726\nAnswer: 21018.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2871 + 24*c**2 + 28*c**2 - 2871.\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:50 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*z - 66 + 4, 174 = 5*o - 3*z. Suppose 2*g - 5*f = -o, -5*g - 156 = 2*f + 2*f. What is the remainder when (g\/(-12))\/((-1)\/(-3)) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 53*q - 134. Give x(55).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 - p**2)*(310*p + 2*p**2 + 2778*p - 8359*p).\nAnswer: 4*p**4 - 10542*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12402*q**6 + 2*q**5 - 4869*q**2 - 6 wrt q.\nAnswer: -1488240*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/30 + g**5\/30 + 5*g**2. Find the third derivative of w(q) wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1 - 2 + 1 - c**2. Let b be z(-1). Which is smaller: -6\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219425 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1122258 and 6?\nAnswer: 1122258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*p + 51*p**2 - 128*p + 94*p**2 + 63*p + 1827*p**2 to d*p + g + y*p**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:43 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 16.64. Let h = 9.94 + p. Let d = h + -9.247. Round d to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10684523 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 the least common multiple of 494 and 2774?\nAnswer: 36062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 36*l - 1 + 4*l**2 - 4.\nAnswer: 4*l**2 - 36*l - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 15. Let n be g(7). What is the hundreds digit of (-2)\/4*6 + (n - -185)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 9*s = 6*s + 24 - 116, 3*s = c + 22 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-2\/15)\/(u**(9\/4)\/(u**(-1\/13)*u)) assuming u is positive.\nAnswer: u**(-3209\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g + 6*g + 6*g)*(-2 + 1 - 1)*(0 + 2*g + 0)*(-32 + 60 + 43)*(2*g - 2*g + g + 3) as y*g**2 + q + z*g + c*g**3 and give y.\nAnswer: -16188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -9252\nAnswer: 2590.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 2. Let m be r(-1). What is l in -m*l + 2 + 3*l**2 - l**2 - l = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 708 and 10974?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577129 to the power of 1\/2, to the nearest integer?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-7 - 2))*1. Let b be ((-2 + 12)\/1)\/(-2). Let l = i + b. Solve -u + l*u + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*195\/(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9769 by -72.\nAnswer: 9769\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-1\/28)*j))*j**(-5\/11))\/(j\/(j\/((j\/j**(-7))\/j))*j*(((j\/(j*j**(7\/5)))\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-4759\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -26. Let f(o) = 18*o - o**2 + 12*o - 24*o + 2 + z*o**2. Calculate f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12260 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13432, -13543, -13714, -13933, -14188, -14467?\n\"Answer: 2*x**3 - 42*x**2 + x - 13393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = -b - 19*k + 6, -2*b + 8 = -2*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93575684.\nAnswer: 2, 17, 19, 23, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**3 + 2*u**2 + 2*u. Let z(x) = 2*x**3 - 4*x**2 + x. Let h(l) = -3*l**3 + 5*l**2 - l. Let s(n) = -5*h(n) - 6*z(n). Determine 10*s(k) + 4*w(k).\nAnswer: 2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -80. Let v = 8.99 + h. Let g = -0.8 + -1.2. Which is the biggest value? (a) v (b) -3 (c) 1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus 232.7?\nAnswer: 229.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -45.3 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 112.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 3. Let h be o(-6). Let w = 2 + 1. Suppose 0 = -h*i + 2*i + w. Which is the smallest value? (a) 1\/5 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -36. Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozo. What is prob of sequence ooz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, r: 1, i: 2}. Give prob of picking 1 r and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from {j: 2, a: 2, r: 1, b: 2, q: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11752 = -2*k + 5*d, 34*k + 3*d = 30*k + 23504. What are the prime factors of k?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 5*g**2 - g + 9. Let z be f(-3). Suppose 5*p - w = 41, w - 70 = -4*p - z. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*g - 13822 = 7*g, 4*u - 2*g - 27652 = 0. Let x = -82853\/12 + u. Find the common denominator of x and (-2)\/(-11) + 518\/297.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + -7 + 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4 + d**3\/3 + 3*d**2\/2 + 2*d - 1. What is the lowest common multiple of 8 - 468\/(-130)*(-20)\/(-12) and g(-2)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.4, 2, 0.13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 369\/7. Let o = 8 - 9. Let p be o\/(-2)*12\/6. Are p and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -j - y*j - 12 = 0. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**8\/20160 - a**7\/630 + a**6\/180 + 4*a**5\/15 + 11*a**2. Let i(h) be the third derivative of u(h). Is 12 a factor of i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -83?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 81 = 279. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -1\/4*o**4 - o + 1 + 5\/3*o**3 + o**2. Calculate u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2569540 and 7860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4755061\/66 + -72048. Find the common denominator of p and 61\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/95 - (68 + -66)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 6) in base 9?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/147 in 5, -54\/65, 5\/37?\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149461861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((2\/6)\/(((-3604)\/29733)\/(4\/22)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2e1bb (base 15) to base 5\nAnswer: -14231101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1463249191, -1463249192, -1463249193, -1463249194, -1463249195?\nAnswer: -1463249196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.341391 millennia to centuries.\nAnswer: 93.41391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12215*h**4 + 6*h**2 - 123699 with respect to h.\nAnswer: 48860*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-84))\/(((-3)\/(-18))\/(5\/10)). Sort g, 3, 0.4, 18, -6 in decreasing order.\nAnswer: 18, 3, g, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-966)*(64 + -78 + 234\/15).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -j + 61, 16 = -5*r + 4*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*s = -3 - 2, 4*s = 4. Suppose 156 = 4*i - x + 5*x, g = 2*x. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05433 - -0.94567. What is the nearest to 0.1 in t, -1.5, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 24 (b) -1 (c) 4 (d) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 639919?\nAnswer: 5759271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137, 154, 163, 158, 133, 82, -1, -122?\n\"Answer: -b**3 + 2*b**2 + 18*b + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 2:26 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 64*o + 5253. Determine a(-82).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 235. Is (-3)\/(-21) - (-2492)\/u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 3700463?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -1*sqrt(153)*3)\/sqrt(9))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9191334 and 1422.\nAnswer: 27574002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5690574113.\nAnswer: 7, 812939159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 31*i - 63. Give k(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t + 32 = -366 - 367 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2793 and 533729?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/24 + f**3\/3 - 6*f**2. Calculate the remainder when 5 is divided by g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -4 (c) -7 (d) 0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13 = b, -4*y + 3*b + 11 = -14. What is the first derivative of -1 + 7*o**y - 4*o**4 - 4*o**4 wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35697 - 15336*s - 35697 + 1826*s**5 wrt s.\nAnswer: 36520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**31*p)\/p**5)**(17\/2) assuming p is positive.\nAnswer: p**(459\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 799154?\nAnswer: 799158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 3. Let d(z) = 10 + 3*z - 17*z - 18 + 17. Suppose -5*w - 8 = 12. Let k(c) = w*d(c) + 11*a(c). What is k(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 19. Suppose -a - r*t - 8 = -3*t, -2*a - 28 = -4*t. What is the tens digit of (-9)\/a*(83 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 638435\/38116 + 2\/9529. Find the common denominator of 16\/11 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111285073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001001101 + -110100001?\nAnswer: 1111010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11477467?\nAnswer: 11477467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.12812 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**3 + 39*a**2 + 7*a - 8. Let j(z) = 14*z**3 + 49*z**2 + 8*z - 10. Give -4*j(c) + 5*l(c).\nAnswer: 14*c**3 - c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times -5?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 15*d - 1\/3*d**4 + 0 - d**2 - 1\/3*d**3. Let l(z) = -16*z**2 - 9*z - 9. Calculate -2*l(p) + 9*s(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = 4*w + 2*v, -5*w = 3*v + 6. Solve w*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 18 = -2. Let w = 1916 + -1914. Is ((-37)\/2)\/(w\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 11*u**2 + 7*u + 5. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1131212?\nAnswer: -1131201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -o + 7004, -b = 2*o - 5*o + 20988. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-15) - -3) + 16\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 7) + 5 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 9. Let q be d(0). Let r = -6 + q. Solve 10 = 2*y + 4*n + 2, r*y + 3*n = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/9919 and 33\/56.\nAnswer: 79352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z + 9. Let k be y(-3). What is the second derivative of -6*i + k*i**4 - 2*i**4 + 11*i**4 - 2*i wrt i?\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530703 is divided by 809.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m**2 - 32*m + 63. What is h(-7)?\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(78)\/sqrt(3) + sqrt(26) - sqrt(26))*-4 - sqrt(26))\/sqrt(2).\nAnswer: -5*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74897 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9448757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 10*r + 0*r**2 - 5*r**2 + 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181003 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 q = -289 + 473. Suppose -14*d + q = -264. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 + 60 = -2*c, -75 = 4*c + 5*n. Let x = c - -30. Suppose -s = -2*s + x. Solve -d = d - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Let x(y) = -b*y**2 + y - 6*y + 4*y**2 - 1. Give x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 23913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0463831501 rounded to 6 dps?\nAnswer: -0.046383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4773447 divided by 7.\nAnswer: -681921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10 + 13)\/9)\/((-2)\/48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -9. Let d = -1441 + 44645\/31. Let h = -271\/434 - d. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*q + 5*w, -2*q + 16 = -0*q + 4*w. Let v(a) be the first derivative of 3*a - 1\/3*a**3 + 7 + 3\/2*a**q. Calculate v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 58876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*4\/28)\/(-3). What is the remainder when 44 is divided by (a + -5)\/(-14 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3445057?\nAnswer: 7, 11, 44741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**3 + 6*t**2 - 9*t + 14. Let w be p(10). Let n = w + -6526. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 3551*x + 143863. Calculate m(-41).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 19653*n + 104 = 19652*n, 5*v + 5*n + 190 = 0 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 43*k**2 - k - 4*k - 59*k**2 in the form v*k**2 + z + b*k and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*o*s**3*w - 827*o*w**2 - 15*o - 2*s**3*w**2 - 5*s*w**2 + 706*s*w + 10*s wrt o?\nAnswer: -4*s**3*w - 827*w**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 1 + 2*a + 1 - 4 + 2*a. Give u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450\/997 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -46*w**2 - 2. Let h(q) = -4*q. Calculate h(y(l)).\nAnswer: 184*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((-5 - -21) + -8)) + 3 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:56 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 12*y + 13*y - 884. Which is the third smallest value? (a) y (b) -5 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 15. Let w be 10\/125*3\/x. Let r = w - 247\/150. Which is the third biggest value? (a) r (b) -2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*v**4 - 259*v**2 - v + 31414 wrt v.\nAnswer: -456*v**2 - 518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*w - 2 = -13, -4*p = -w + 7. Let u = 1429\/4 - 358. What is the second biggest value in u, p, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.656 - -0.144. Let d = q - 23. Which is the nearest to 1? (a) -3 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 - 3*p**2 - 2*p + 1. Let l(v) = 3*v**3 + 2*v**2 + v. Let r(t) = 3*l(t) + 2*u(t). Let w = -1 + 0. Let a = 1 + w. What is r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -610, -1149, -1690, -2233, -2778?\n\"Answer: -a**2 - 536*a - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(684)*1 + sqrt(684) + sqrt(684))*-4 - (-3 + -3*sqrt(684) + -4)**2.\nAnswer: -6205 - 684*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/7 in 0, 30, 4, -3\/2, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 15*k**2 + 17*k - 13. Let q be w(16). Suppose 2*j - q*x + 9 = -j, 0 = 5*j + 3*x - 17. Is -2\/7 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93917.8 to the nearest one hundred.\nAnswer: 93900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 116. Let u(n) = n + 115. Calculate -3*k(z) + 4*u(z).\nAnswer: 4*z + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*y = 107*y + 3. Let d be (27\/(-27))\/((9\/(-87))\/y). What is the highest common factor of d and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.5 and 18.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/21))**37 assuming o is positive.\nAnswer: o**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*6*3\/(-135). What is the third biggest value in -0.2, -2.9, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 4:38 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5111, 10228, 15349, 20474, 25603, 30736?\nAnswer: 35873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - 7*r**4\/24 + r**3\/6 + 4*r**2. Let c be i(-5). Let g = 138 + -83. What is the highest common divisor of c and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44))*4 + ((2*sqrt(66) + sqrt(66))*1)\/sqrt(6).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Are -116897 and 81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 133, 190, 227, 232, 193?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 11*n**2 - 13*n + 20. Is v(-10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 41*x - 93. Let a(g) = g**2 + 43*g - 93. Let j(h) = 5*a(h) - 6*z(h). Differentiate j(q) wrt q.\nAnswer: -2*q - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 30, 28*s - 23*s - 5 = x. Solve 0 + 0*b**2 + 0*b + 5\/2*b**4 + 3*b**s = 0 for b.\nAnswer: -6\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*p + 17, -n - 2*p + 1 = 2*p. Put -5, -1, -2, n in increasing order.\nAnswer: -5, n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 271*h - 12190. Give x(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/2 - 7*c**2 + c. What is the smallest common multiple of (1 - 2)\/(19\/(-665)*5) and t(-10)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 minutes after 1:26 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -169*w = -174*w + 4*f - 11, -1 = -5*w + f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11439\/(-2460) - 54\/(-10))\/((-1)\/(-160))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 30*x + 211. Let v be g(-40). Calculate the greatest common divisor of v and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q - 5 = 0. Let n be ((-4)\/q)\/((-8)\/12). Let g(s) = -s**2 + 8*s + 14. Is g(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**3 + x - x + 2 + 5*x**3 with respect to x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161*o**5 - 3*o**4 - o**2 - 59*o wrt o?\nAnswer: 9660*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 22. Let d be (6\/w - 1) + -12. Let o = d + 11. Solve 4*b = 3*c - c - 20, -b + 2*c - 8 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 323*k**4*y - 50*k**3*y - 3*k**2*y - 30*k**2 + 8*y - 6 wrt k.\nAnswer: 7752*k*y - 300*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -905186, -3620638, -8146386, -14482424, -22628746, -32585346?\nAnswer: -44352218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -2.79. Let g = -258176.16117 + 258179. Let x = y - g. What is x rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 3. Suppose -w*t = -z + t + 7, 3*t - 33 = -3*z. Let j be 6\/30 - 160002\/z. Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - l + 21 = -4*l, 5*h + 5*l + 30 = 0. Put h, -1, -1\/4 in increasing order.\nAnswer: h, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3313029.\nAnswer: 3, 1104343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 161, 301, 441, 581?\n\"Answer: 140*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m + 8*m**2 + 2*m + 5*m - 15*m**2 + 8 - m**3. Let r be y(-8). What is the greatest common factor of r and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 221*x**4\/4 + 53*x**3\/3 + 5*x**2\/2 + 205. What is the third derivative of v(q) wrt q?\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/9 (b) 13344 (c) 3 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2423 - -206?\nAnswer: -221b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892169.\nAnswer: 3, 210241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose 100 = m*q + q. Let c be (0\/(-1) + 0)\/(-2). Solve c*a - 5*a = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/171606 and 31\/9276.\nAnswer: 343212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4876821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + c + 2*c - 2 - c. Let o(f) = 1. Determine -2*g(t) - 4*o(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 + 3*l**3 - 6*l**3 + (0*l**2 + 0*l**2 + 2*l**3)*(-4 + 2 + 3) + (3 + 2 + 3)*(5*l**3 + 6*l**3 + 3*l**3) + 3*l**3 - 3 + 3.\nAnswer: 118*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*0*4\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8015.168 years to centuries.\nAnswer: 80.15168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let m = -1 - -3. Let u be 2*-1*(-2 - -1). Let l(d) = -u*d**2 - 2*d**m + 3*d**2. Calculate l(i(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -422*w**2 - 45*w - 21. Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51599161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-14)\/(-6 + -1). Suppose 0*u = 4*u. Let y(v) = u*v**2 + 73 - 73 - x*v**2. Let r(p) = 5*p**2 - 3*p. Give y(r(n)).\nAnswer: -50*n**4 + 60*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1098*k + 21963. Calculate f(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43177705.\nAnswer: 5, 17, 37, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 50 (c) 0.3 (d) 3\/1048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:43 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -595 - -598. Solve -y*b - 4 = 5, -2*s = -3*b - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959 - 959 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -106, -150, -200, -262?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 1945 - 763. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325) + sqrt(325) + sqrt(325) + -3.\nAnswer: -2 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 + (17\/(-34) - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1768?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -16*u - 3*x - 8, -12 = -4*u + 4*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10100100 (base 2) to base 15\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2\/5 + 8464*a\/5 - 4477456\/5 = 0.\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -53. Suppose -3*v + 15 = 0, 3*w - 15 = -2*w - 4*v. Sort w, -6, -4, x.\nAnswer: -6, -4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**3 - 10210*v**2 + 702105*v + 235170.\nAnswer: 5*(v - 603)*(v - 78)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -96306.64 rounded to the nearest 100?\nAnswer: -96300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (15 + -13 - -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5830 and 212?\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 6291 + 2502 - 2281. Calculate the remainder when v is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 5*g - 2*n, -2*n - 40 = -2*g + 56. What is the nearest to 1\/3 in g, 0, -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v + 1. Let f be l(5). Let s(j) = -5*j**2 + 6*j - 6. Let g = -144303 - -144308. Let c(p) = 5*p**2 - 5*p + 5. Determine f*c(r) + g*s(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)*-2)\/(sqrt(2) - sqrt(18)\/sqrt(144)) - (-4*2*sqrt(156))\/(sqrt(768)*3).\nAnswer: -31*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-6)*140\/(-84).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67043798 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1609 - -3263. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120482733 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 423*r**2 + 1. Let o(v) = -2*v**2 + v. Determine o(k(z)).\nAnswer: -357858*z**4 - 1269*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-4\/3))\/(((o\/((o*o**46)\/o)*o*o*o*o)\/o)\/o))\/(o\/o**(-4))**(-4) assuming o is positive.\nAnswer: o**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 12*i - 18. Let q be h(-10). Let w(o) = -11*o - 3*o + o**q - 3*o + 14*o + 3. What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 81e - 56?\nAnswer: 7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in seconds?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -3 + -301 + 329?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*c**3*i**2 - 2*c**3 + 3*c**2*i**3*q + 2*c**2*i*q - 5*c*i**2*q + 31*c*i*q wrt i.\nAnswer: 36*c**3 + 18*c**2*i*q - 10*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 5 = 31*u. Let l be (0 - u)\/(11\/165). Let r(k) = -42*k + l*k + 11*k + 17*k. Let i(h) = -8*h**2. Give i(r(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/59)*o*o*o\/((o*o*(o*o\/(o*o*o\/(o*(((o\/o**(-42\/5))\/o)\/o*o)\/o)*o*o))\/o*o)\/o) assuming o is positive.\nAnswer: o**(-993\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67632292 a multiple of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11 + 6 - 106*l - 4.\nAnswer: -106*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:13 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-43)\/(-1 + 2). Let f be -4 + 3 + -3 + 77. Let p = f + q. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/4))\/(z\/(z*z\/(z**(-7\/4)*z*z)*z))*(z\/z**7)\/(z\/((z**(-15)\/z)\/z)) assuming z is positive.\nAnswer: z**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2757573 divided by -117?\nAnswer: 23569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122106, -122108, -122108, -122106, -122102?\n\"Answer: v**2 - 5*v - 122102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2489*d + 7. Let j(p) = 2*p. What is j(u(x))?\nAnswer: 4978*x + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8928*r + 12194. Let y be n(-52). What is y rounded to the nearest 1000?\nAnswer: 476000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -661, -897, -1133, -1369, -1605?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.297 + 0.103. Let s be 22\/20 - 2\/4. Which is the third biggest value? (a) p (b) 1 (c) s (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -15\/2*v**2 + 233\/12*v**4 - 1 + 1\/3*v**3 + 29*v. What is the second derivative of u(q) wrt q?\nAnswer: 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -247440 + 1237228\/5. Factor -2*c - p + 2\/5*c**2.\nAnswer: 2*(c - 7)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3548324.\nAnswer: 2, 13, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5425, -5295, -5155, -4999, -4821, -4615, -4375?\n\"Answer: b**3 - b**2 + 126*b - 5551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31465 - -31464.99835. Round z to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28741286 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2965.\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83451*h + 63774*h - 81151*h.\nAnswer: -100828*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15)*5*666\/(-6216)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 61*z + 821. Let s be y(-20). Solve -11*x = -s + 56 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**5 - 419*v**4 + 7274*v**3 + 1644*v**2 - 7280*v - 1225 = 0. Calculate v.\nAnswer: -1, -1\/6, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 35, -446*b + 443*b + 9316 = 5*i. Is 1862 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 - 70*x**2 + 94*x - 3400. Determine i(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1045, 3, 9.861?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Let u = -0.9 + 1. Let t = u - d. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 + 2. Let v be r(7). Let a(s) = -3*s + 2 + 3*s**v - s**2 + 2*s. What is the remainder when a(2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-13 + 0 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15770 + -15949. What is the smallest value in -0.01, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - i**2 - 4*i**3)*(-4 + 2*i + 4)*(-1 + 1 - 2 + (0 - 1 + 2)*(-3 + 0 + 2)) to n*i + b + d*i**3 + v*i**4 + p*i**2 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 39. Let w be 24\/11 + 14\/(-77). Suppose 3*h + 6 = -7*k + w*k, -k + h = -2. Solve 8 = 2*g + 4*b, k*g + q*g - 2*b - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-8*r + 2*r + 2*r)*(2 - 3 + 2) - r + 0 + 0)*(11*r + r - 4*r) as v*r**2 + k + p*r and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 235406773?\nAnswer: -23540677.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 4) + (-55 - -38) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/8 - 5*f**3\/3 + 4*f**2. Let s be g(4). Let v be -3*(-2*1 - -1). Solve s*y = -v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 15 + 4*p - 8*p + 6*p)*(5 - 3 - 3) in the form w + y*p and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7301.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574720300 by -7700.\nAnswer: -74639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.04 + 19. Let c = -0.13 + g. Let r = 1.57 + c. What is r rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/665 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 1208, 1921, 2724?\nAnswer: 3617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let l(y) = -15*y + 25. Let o be l(4). Let u = o + 38. Solve 5*w + u*h = -25, -h - f = -3*w + h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854476841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47600 and 13056?\nAnswer: 2284800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5\/4 + 4*v**4 + 21*v**3\/4 - v**2 - 3*v = 0.\nAnswer: -3, -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 149 = -2*t, -4*t = -j - 3*j - 268. Suppose 2*l = -8, t - 16 = 2*s - 4*l. Solve -3*x = x + s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 + 29b?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - 1*sqrt(156))\/sqrt(3))\/((-2*sqrt(24))\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*v**2 + 300*v - 152*v - 147*v.\nAnswer: 278*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -25*u - 253. Let t(n) = -9*n - 81. Let l(q) = 3*o(q) - 10*t(q). Determine l(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 9*k - 6. Let d be g(-10). Suppose -112 = -d*w + 40. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqrq when four letters picked without replacement from {g: 2, r: 1, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17818, -35160, -52502, -69844, -87186?\n\"Answer: -17342*i - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 8*n - 5. Let u = 6 - 1. Let r be y(u). Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*u + 0 - 44*u**3 + 37 + 0*u with respect to u.\nAnswer: -132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/22, 3, -0.3?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1088)*1 + sqrt(1088) - (sqrt(1088) + 0 + 5))*3 + 5)**2.\nAnswer: -480*sqrt(17) + 9892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -423 - -425. Suppose -70*i + v = -68*i. Solve 0 = 8*p - i + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -40 - (60 + -136)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxppxtxxt.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2398 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 18*s - 123. Let q be x(34). Let i = q - 399. Calculate the greatest common divisor of i and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 911*r - 3861. What is o(5)?\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, -5, -301 in increasing order.\nAnswer: -301, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5350, 3\/2, -2\/37 in ascending order.\nAnswer: -2\/37, 3\/2, 5350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46770 rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.04 + -10.353. Let d = v - -1.3. What is d rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose -k - 5*g = -6*k - 15, i*k - 5*g + 6 = 0. Let a be 8\/(-6)*k\/2. Solve -4 = -a*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 71, 91, 93, 71, 19?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16*m**2 + 26*m - 30. Let p(w) = -9*w**2 - 13*w + 15. Let i(z) = -4*f(z) - 7*p(z). Give i(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -37?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 133*g = -2242 + 2104 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 6346872?\nAnswer: 31734360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 - 17*k**4 - 96*k**2.\nAnswer: 60*k**2 - 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15317*g + g**2 - 9538*g + 10621*g.\nAnswer: g**2 + 16400*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1944352 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 7*n - 2. Let m(o) = 3*o**2 + 4*o + 1. Calculate 7*m(r) + 4*s(r).\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171014*g**3 + 10 + 312045*g**3 - 10.\nAnswer: 483059*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 4*g - 1. Let w(t) = 3*t + 1. Calculate the remainder when w(3) is divided by f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*b - 2*b. Suppose 20 = 4*q, -4*k + q + b = -2. Suppose -j - 5*u = 9, 0*u - 26 = -k*j + u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 - 71. Let b = 92.9999843 - p. What is b rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppkpkpkpkpkkpkkk. Give prob of picking 3 k and 1 p.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667 divided by 23.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -14\/9, -5, -1372, -10, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (11 - 1 - 7) + (-50 - 11) + 9?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4aa2 (base 11) to base 12\nAnswer: -3a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p - 2*o = -36*p + 12, 2*o = -4*p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13764 = 4221134*h - 4221023*h for h.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let p be (-1 - 1)*(-5)\/(-10). Do s and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011110001000 + -100?\nAnswer: 1000011110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -853*v = -334*v - 11236350. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 80*k + 432. Determine s(-45).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.08, 3, 0.9, -3 in descending order.\nAnswer: 3, 1.08, 0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 297 + -298. Suppose -o + 2 = o. What is the smallest value in 9, b, o, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.099 and -11?\nAnswer: 10.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**8\/12 + f**7\/30 - 119*f**4\/24 + f**3\/6 - 100*f**2. Find the second derivative of k(g) wrt g.\nAnswer: 560*g**3 + 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 662808 and 662807 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010221002 (base 3) in base 9?\nAnswer: 33832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*m**2 + 58484114*a**3 + 3141*a*m**2 - 52*a*m + 2*m**2 + m + 1 wrt a.\nAnswer: -6*a*m**2 + 350904684*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3739 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/(-100))\/(1\/(-5)) - 1. Let i = 3 - 7. Which is the third biggest value? (a) i (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/207 and 31\/138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3234, 77 in ascending order.\nAnswer: 1, 77, 3234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 16*b + 1988. Let v(k) = -k**2 - 3*k - 9. Give u(d) + 6*v(d).\nAnswer: -d**2 - 2*d + 1934","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + (sqrt(1452) - sqrt(1452)*2)) + ((sqrt(204)*3 + sqrt(204))\/sqrt(12) + 0)**2.\nAnswer: -sqrt(17)\/10 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1584667 in decreasing order.\nAnswer: 1584667, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -176, -172, -166, -158, -148, -136?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.13 + 26. Let p = -2.87 + f. Let k = -8697 + 113063\/13. What is the second biggest value in k, p, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 28139?\nAnswer: -28138.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-8)*64\/(-24) - 1. Let g be f\/2 - 2 - 5\/2. Is g\/6 + 80\/15 + -2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -25*u**8\/3864 + 8*u**7\/161 + 941*u**6\/1380 + 16*u**5\/115 - 139*u**4\/69 + 48*u**3\/23 + 3779*u**2. Solve q(d) = 0 for d.\nAnswer: -4, -1, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1073 + 55370?\nAnswer: 54275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619402256 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = 4*z, 2*z = 3*c - 10 - 15. Is 7 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -68. Let i be ((-51)\/12 + o)*(-6)\/9. Sort -0.11, i, -5 in descending order.\nAnswer: i, -0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*r + 0 + 3\/8*r**2 + 1\/8*r**3 = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313305 (base 6) to base 12\nAnswer: -12835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - 9 - (1 + -127). Let a = q + 103. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y\/y**(1\/15)*y)\/y)))\/y*y**(-1\/27))**(-17\/3)*((y\/y**3*y)**(2\/29))**15 assuming y is positive.\nAnswer: y**(-5248\/11745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 4128.567?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 10*b - 19. Give m(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -2 + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f**2 + 0*f**2)*((3 + 1 - 3)*(0 + 3*f**2 + 0) - 1 + 1 - f**2).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m - 8. Let v be n(-4). Let c = -32 + v. Suppose c*x = -3*x + 1295. Is x a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*y + 168*y - 88*y + 8*y**2 to k*y**2 + i + f*y and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353711.\nAnswer: 3, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 7, j: 2}. Give prob of sequence gj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 4 + 35*c**2 + 29*c**3 + 35*c**3 + 26*c**3 - 89*c**3 - 3 as y*c + b*c**2 + m*c**4 + i*c**3 + u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12*3)\/(251940\/(-7072))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0)**4)**3)**(4\/19) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 8 = 4*z. Suppose -4*o + 22 = u - 8*o, -4*u = -o - 43. Suppose -z*q = u, 5*t - t = -q + 23. Let n(y) = 2*y - 9. Determine n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/9*3 - (-7)\/(-21). Let m(s) = 2*s**2 + 11*s - 9. Let x be m(b). Solve 3*f = 3*d + 9, x = -0*d - 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168 + 88. Let z = s + 80. Solve z*x + 5*x = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 4*t + 6. Let o be p(-3). Let u(i) = 3*i - 4. Let j be u(2). Let g = -140 - -702\/5. Put j, o, g in increasing order.\nAnswer: g, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8394 = 16*x + 1018. What are the prime factors of x?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 3*u. Determine d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -0*r. Let q(h) = 3*h**3 - h**2 + 3*h - 1. Let b be q(1). Sort r, 1, b in decreasing order.\nAnswer: b, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846*n**3 - 2510*n**3 + 854*n**3 + 846*n**3.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200589*h**2 - 200405*h**2 + 400952*h**2.\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 2*k**2 + 4*k**2 + 0*k**2. Let i(v) = 2*v**2. Give i(r(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - y**2 + 2*y)*(4 - 3 - 7) in the form o*y + q + c*y**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/(204\/5423))\/((-1)\/(-3)) is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 5*a + 4. Let p be w(5). Suppose 3*k - 5*f = 0, -2*k + p*f = 2*k. Let r = 6 - k. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 39*n + 7. Determine l(-12).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, -23, -364, -1103, -2372, -4303?\n\"Answer: -22*z**3 - z**2 + 82*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*f + 547*f + 1356 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:35 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24337545?\nAnswer: 3, 5, 409, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 33949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -146*v**2. Let q(j) = 2*j**2. Determine q(k(s)).\nAnswer: 42632*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-66))\/(2*3*15\/14850)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010010001000001 - -11?\nAnswer: -1000010010000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38366, -38412, -38482, -38582, -38718, -38896, -39122?\nAnswer: -39402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000000101100 (base 2) in base 14?\nAnswer: 10d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 23. Let f(d) = -2*d**2 - 1173*d + 2. Determine f(n(k)).\nAnswer: -50*k**2 + 6325*k - 28035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:22 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from hhaejzb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20416 divided by -1856.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3587580 divided by -190\nAnswer: 18882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1443 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 118 = -3*c, 0 = -2*h + 3*c + 249 - 1. Suppose -k = p - 36, p + 3*k = 5*p - h. What is the remainder when p is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7389 + 31378. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - 1884\/(-36). Let g = p - 38. Suppose -15 = q + 4*q - 3*d, g = 3*d. Solve 5*f = 3*v + 29, q = -5*v - 3*f - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, -55, -134, -213, -292?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*x**2 - 7*x**3 - 333 - 81*x**2 + 31*x**2 + 17*x**2 to w*x**2 + n*x + l*x**3 + u and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:12 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 21350.54 to the nearest 100.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - a + 2*a)*(-8 - 2 + 2)*(1 - 3 - 4)*(a**3 + 0*a**3 + 0*a**3).\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from ssmsmmmmmmmmssmmmmmm?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 13*p - 113*p + 23*p**3 + 28*p - 16*p**3.\nAnswer: 5*p**3 - 72*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50958.55ug to tonnes.\nAnswer: 0.00000005095855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-7)\/33)*(-10)\/(30\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*v - 65 - 13 = 0, 0 = 4*l - 4*v - 64. Suppose -l = -2*b - 6. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let u be r(0). Let w = u - -13. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7119 + 7329. What is the highest common divisor of 1344 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:53 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 57?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10396 by 226.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-550)*(-2)\/6*(-12)\/6.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 2*r**2 + 1. Let f be j(1). Suppose -4*p + 5*l + 39 = 0, -f*p + 27 = -0*p - 3*l. Differentiate -13 - v**4 + 8 + p with respect to v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 + 8*t + 19. Give i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*f - 9 = -45, -4*f = -5*h + 138. Suppose -1 = -w - 5*p + 69, w - 3*p - h = 0. What is the greatest common factor of w and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**4 + 815*z**2 + 22*z**3 - 1630*z**2 - 9*z**3 + 22 + 15*z**3 + 813*z**2 as r*z**2 + f*z + c*z**4 + y*z**3 + i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*h**2 + 1 - 1 + 24*h**2.\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000510146 rounded to seven decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10969549?\nAnswer: 10969549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432351?\nAnswer: 1432351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 2*a + 5*a + (-2*a + 6*a - 2*a)*(0 - 4 - 7))*(0 + 0 + 2*a).\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.552372 months in centuries?\nAnswer: 0.01046031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 17 = -7*i + 8*i, x = 3*i + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-11)))**30\/(g**(-1)*g**5) assuming g is positive.\nAnswer: g**(-334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 139*d. Let v(r) = 146*r + 1. What is -2*f(u) + 3*v(u)?\nAnswer: 160*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - k - k + 6 - 129 + 4*k in the form m*k + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o + 5. Does 3 divide 3\/o*63\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 14*t**2 - 2*t - 36. Let x be w(-14). Let f be (((-6)\/x)\/(41\/(-164)))\/1. Which is the closest to 0? (a) 2\/31 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*w - 1532 = 200*w. What are the prime factors of w?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + -3 - (18 - -3). Let a = 25 + w. Solve -5*j - a = 5*c - 11, -3*c - 5*j = -4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 + 918*t\/11 - 920\/11.\nAnswer: 2*(t - 1)*(t + 460)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*j = 35, -i - 5*j - 31 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 6 = -3*d. Let f be (d\/(-4))\/((-5)\/(-180)). Suppose -f = -4*m - j, j + j = -m + 1. Solve -q + 20 = -m*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8\/7)\/q*q**(-2\/7)*q**14\/(q**(-8)*q))**(-4))**(-9\/5) assuming q is positive.\nAnswer: q**(936\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2\/15*b**3 + 3\/5*b**2 - 4 - 4\/5*b. Factor m(h).\nAnswer: -2*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (10 - 4) + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 5*k - 2. Let t be n(4). Suppose t*g - 3*s + 88 = 4*g, 2*g - s = 72. Suppose -2*x + 70 = 2*v, x + g = v - x. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 8, 0 = 6*p - 5*x - 92 - 20. What is the closest to -2 in p, -0.04, 1\/6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -456.000129 + 456. Round o to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292753993 to the power of 1\/2, to the nearest integer?\nAnswer: 17110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 49. What is the lowest common multiple of d and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-18678 + (4 - -2)) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 46. Suppose 4*n - 5*q = 1, d*n - 4*n - 7 = -5*q. Which is the third smallest value? (a) n (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/4)*(c*c**(-9))\/c)**38*(c*c*c*(c**(-9)\/c)\/c*c**(-10))**(-20) assuming c is positive.\nAnswer: c**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -593, -1962, -4627, -9020, -15573, -24718?\nAnswer: -36887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/1721, -4, -0.0421?\nAnswer: 1\/1721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1640 by 410.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -27973, 2\/3, -0.2 in descending order.\nAnswer: 2\/3, -0.2, -27973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.1. Let f = -60 - -60.3. Which is the nearest to -1? (a) j (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + -196 - (15 + -11)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-3)\/((-15)\/(-2)). Suppose 16 = k + t*k + 4*d, 4*d = 2*k + 16. Let z = -23 + 24. Which is the third biggest value? (a) k (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 20*d - 1. Let k be r(3). Let o = -53 + k. Calculate the highest common factor of o and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*r + 7*r - 8*r)*(3*r - 4*r - 5*r)*(3 + 3 - 5)*(2*r + 2*r + r) - r**3 + 0*r**3 + 4*r**3 in the form u*r**2 + n + y*r**3 + p*r and give y.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 0 = -13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62458309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 393448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from {i: 14, y: 5}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - (-33)\/7. Suppose 32 + 3 = k*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - (-8)\/6. Find the second derivative of 0*n + 0*n - 2*n + 3*n**l + 5*n wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5070 and 190.\nAnswer: 96330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**6\/24 - 77*y**5\/30 + 4585*y**4\/24 - 7*y**2 - 8*y. Find the second derivative of n(q) wrt q.\nAnswer: -30*q - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + -10. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**3 + 2*b**2 + 2*b - 10. Let r(k) = -5*k**3 + k**2 + k - 5. Let y(h) = 4*p(h) - 7*r(h). Determine y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10583, 10590, 10601, 10616, 10635, 10658?\n\"Answer: 2*r**2 + r + 10580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 - 2*x - 17. Calculate m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.66 + 264.34. Let j = p - 264. What is the nearest to -0.1 in j, -2, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7 and (-150)\/104 + 5\/(-20).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 m when four letters picked without replacement from lmxmmkmxxxmxxkmmx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, -0.1, 0.5, 1, 53, -31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36519 or 36527?\nAnswer: 36527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.258ug in tonnes?\nAnswer: 0.000000000141258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79513 and 2331?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9192.297 centuries?\nAnswer: 919.2297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*v - 2*v = -12, 4*p = 3*v - 4. What is the smallest value in -0.4, -22, p?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 + 270*l**4 + 3580*l**3 + 16570*l**2 + 16575*l - 37000 = 0.\nAnswer: -37, -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 12 = -17*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/369453 or -1?\nAnswer: -4\/369453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -310, -423, -516, -583, -618, -615?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 56*f**2 - 170*f + 796\/7.\nAnswer: 2*(f - 2)*(f - 1)*(f + 199)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/2*31\/(-17050)*-88?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c**2 + 1034*c - 22662 wrt c.\nAnswer: -20*c + 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 0*a**2 - 2*a**4 + 41 - 40 + 5*a**3 to the form p + k*a**4 + j*a**2 + z*a**3 + m*a and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1392, 1856, 3112, 5556, 9584?\nAnswer: 15592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20886.733 take away -0.134?\nAnswer: -20886.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.49 and 13352439.\nAnswer: 13352439.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -12. Suppose -65 = -3*i + 2*t, -w*t = -5*i + 85 + 22. What is the remainder when 1 + 11\/(-13) - (-4410)\/65 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from ltm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 0.2. Let v be -4*(6 - (-657)\/(-108)). Which is the closest to -2? (a) -4 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15088 = -7*t + 23*t. List the prime factors of 16\/(-12)*3 + t.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14763440 and 1085.\nAnswer: 103344080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 divided by -81?\nAnswer: -124\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -15 - 23) + 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -22102?\nAnswer: -22233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 122. What is the greatest common divisor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -25 + 2*f**2 + 40*f + 29 + 88 - 10 + 49. Calculate h(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158, -157, -156, -155, -154?\n\"Answer: l - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 25. Let m(r) = r**2 + r - 9. What is the units digit of m(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/5010995 and -12\/1731071.\nAnswer: 95208905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a - 268. Let h = a - -71. Suppose h*q - 532 = 2*z, q = -2*z + 175 - 52. List the prime factors of q.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from uugzfzgugzuuuuzgfgu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23931609 at most -23931607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -305618 + -5?\nAnswer: -305623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205308.\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38174.\nAnswer: 2, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/7 and 0.03 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*k**2 + 115*k**2 + 130*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m + 3. What is g in -5*g**4 - g**2 - g**2 - 1 + 5*g + 10*g**m + g**5 - 8*g**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*n + 633*n - 5*n**2 - 334*n.\nAnswer: -5*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 8*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -526954.124 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -14 + 26, 0 = 3*p + 2*l - 47853. What is the highest common factor of 41 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 121*p**2 + 2*p - 14. Let x(z) = 60*z**2 + z - 8. Give -4*h(b) + 7*x(b).\nAnswer: -64*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89628 is divided by 2186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*x + 15, -3*r + 2*r + 21 = -3*x. Is (-1)\/((x\/753)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 132*d + 1246 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449528.\nAnswer: 2, 83, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 11590*t**2 + 1411720*t.\nAnswer: -5*t*(t - 2434)*(t + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*t + 20 + 15, 5*g + 5*t - 50 = 0. Let x(o) = -g*o + 3 + o + o**2 + o**2. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 54 = -41. Solve -1 + q = -4*m - 2*i, -4*m - 3*i - 19 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, 1 w, and 1 j when four letters picked without replacement from ampnjjnw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9934633, 9934622, 9934595, 9934546, 9934469, 9934358?\n\"Answer: -v**3 - 2*v**2 + 2*v + 9934634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698800.\nAnswer: 2, 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1220) + -6 + 8. Let x = -18278\/15 - s. Let r = 1\/30 + x. Put 1\/7, 0.3, r in increasing order.\nAnswer: 1\/7, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1059 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(2 - 1) + 0. Let g(j) = -j**3 + 11*j**2 - 16*j - 18. Let k be g(3). Solve 3*o + k = -w*l - 2, -3*l + o = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12907963 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 51. Let v be (l\/(20\/(-5)))\/((-2)\/8). Calculate the greatest common divisor of 12 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {p: 3, w: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429844609 to the power of 1\/3, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:25 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 7*n**2 + 5*n - 5. Is j(8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -245 (b) -1\/2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 16 - 0, 0 = -4*g - i - 12. Let b = -2 + g. What is the common denominator of -57\/10 and 146\/(4*b\/(-4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1, t: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) -1\/22602 (c) -3 (d) 5 (e) -1\/3 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -179, -526, -1181, -2246, -3823?\n\"Answer: -17*c**3 - c**2 - 19*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.2019506ms?\nAnswer: 0.0000000486336875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 6*x + 2. Let a be j(-6). Suppose 6 = q - s, 0*q - a*q = 4*s. Suppose -3*m = -5*z - 2*m + 417, 3*z + q*m = 241. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 9*v + 11. Let d be x(8). Suppose -6*n = -d*n. Solve -9 = 4*y - 3*h, n = 3*y - 3*h + 6 - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 12 = -6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 - (-3 - -13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 6. Let h be x(3). Suppose 36 = -h*i + 7*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 291 + -19?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(108)*3)\/(sqrt(108)\/sqrt(9)))\/(((sqrt(132) - -4*(sqrt(132) - 3*sqrt(132))) + sqrt(132))\/(sqrt(22)\/sqrt(2)*6)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:13 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.094 - -40384846.623\nAnswer: 40384846.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 4*v + 108784. Suppose -3361 = 2*z + v. What is z rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25445*g**2 - 22912 wrt g.\nAnswer: -50890*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 67b?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -38900.7903 to the nearest integer.\nAnswer: -38901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16*o**3 - 2*o**2 - 4*o - 7. What is the tens digit of f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:23 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzzztttzzdtzzztz. What is prob of sequence tdz?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.02. Let f = t + -3.08. Let n be -40 + 44 - 28\/6. Which is the closest to n? (a) f (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.3. Suppose 11*r = -32 - 1. Which is the second smallest value? (a) 4\/7 (b) r (c) p (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/8, 0.5, -2, 87, -2.1 in ascending order.\nAnswer: -2.1, -2, 1\/8, 0.2, 0.5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 2, r: 6, t: 3}. What is prob of picking 1 r and 2 c?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -437\/6 (b) 4 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -0.456452 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - o - 983 = 394, 5*o - 1395 = -4*m. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 1:05 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*(h\/(h*h**(-16))*h)\/h)**(-7\/2)*(h*h\/h**22*h)**35 assuming h is positive.\nAnswer: h**(-1463\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 36616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpmvzppzdmzpzd. Give prob of sequence dgm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 + z**2 + 4*z**2)*(3*z - 7*z + 3*z)*(-2 + 2 - 3).\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -862, -861, -860?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10*r + 30. Let v = r + 31. Solve -4*n + v = -4*g - g, -2*n = -10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10682635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 4:36 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 3 + 0*f**2 + 5 - 3*f**2 + 2*f**2. Let p be i(2). Which is smaller: p or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25 - 0)*(-4)\/(-10). Let h be ((-2)\/g)\/((-14)\/28). Sort -4, -2\/3, h.\nAnswer: -4, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebeq when four letters picked without replacement from {r: 6, b: 3, e: 2, m: 2, q: 1}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -195, -1672, -3151, -4632?\n\"Answer: -v**2 - 1474*v + 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -10 - (-4 + 3) - (4 + -23).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 246 + 781 = 0. Let v = -63 - w. Let i = v + -38. Solve 0 = 3*k + i + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 3807, 175, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-10))\/(102\/(-12)). Let a = -8773\/1530 + m. What is the common denominator of 107\/14 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 9*b + 19. Let r be g(10). Is -2 - (-21)\/r - (-332)\/3 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/129544712 and 97\/64?\nAnswer: 1036357696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 47*i**3 + 6*i**2 + 30*i - 135. What are the prime factors of m(8)?\nAnswer: 43, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-35))\/((-1626)\/336 - 3\/(-24))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.072108194 minus 2499.4?\nAnswer: -2506.472108194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 11*p - 5. What is j(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/1839?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5020704 - -5020703.1900044. Let y = -180.19 - -181. Let j = y + m. What is j rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 - 1. Suppose 0 = -2*n - 4*m + 18, 3*n + 3*m - 5 = 7. Calculate o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-2 + 4)) + 1 + (34 - 35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 369 = -131. Solve -4*b = 4*x + 16, 4*x = -3*b - l + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485 (base 13) to base 10.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 10012*m - 458640.\nAnswer: 4*(m - 2548)*(m + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ontxe. What is prob of sequence xn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/5, 0.3, -13, 13.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-30)*q\/((q**(1\/11)\/q)\/q)*q**(-3\/7)\/((q*q\/(((q\/(q**22\/q*q))\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(-3967\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -4, 4.4, 77\/8 in descending order.\nAnswer: 77\/8, 8, 4.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83486 and 386327.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -769 + 755 + (-254)\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 + 9*d**2\/2 - 16*d. Let y be r(3). Suppose 3*f - f = 3*z - 14, -12 = -y*z + 3*f. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 31*d**2 + 58*d + 20. Let u be f(29). Solve -3*y + 2*z = -y + u, -2*z = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2202*z + 2204*z + 7 - 4399*z + 2*z**2. Let o(y) = y**2 + 3*y + 3. Give -6*l(j) + 14*o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 64*r + 798. Let m be t(-12). Solve 116*p = 106*p - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -23. Is 80\/o*(-6)\/(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - (3 + sqrt(80)))**2 - (sqrt(20)\/sqrt(4) + 0).\nAnswer: 18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -142.2. What is the second biggest value in -5, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 120950 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -10.1, 2, -23 in descending order.\nAnswer: 2, 0.5, -10.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*q = -12, 5*q - 3*q = 4*o - 14. Let l(i) = -7*i**3 + 4*i**2 - i. Let f be l(o). Let w = -277 - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 2 + p**2 + 4 + 0 - 12*p. Let x(g) = 2*g**2 - 2*g - 1. Let h be x(-1). Let q be c(h). Let a(v) = -12*v - 1. Determine a(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 9) to base 6.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1336595271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101191970*n**2 - 8916933.\nAnswer: 202383940*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 420*n + 14700.\nAnswer: 3*(n + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -4145.\nAnswer: -44\/4145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6915 and 52\/15213.\nAnswer: 76065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 945800099 to the power of 1\/3, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 11*k**3 + 18*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 45*u - 20. Give c(-24).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 110544, 113666, 116788, 119910, 123032, 126154?\n\"Answer: 3122*t + 107422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 - 0.3. Let s = i + -1.5. Let m = -0.4 + s. Which is the second biggest value? (a) -0.1 (b) -1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 4 (c) 1 (d) 310 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -680*c - 3398\/5 - 2\/5*c**2.\nAnswer: -2*(c + 1)*(c + 1699)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 19640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105669 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 2*y - 4. Suppose p = 2*p. Let k = p + 4. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43689271*b + 51454038.\nAnswer: -43689271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -2. Let f(m) = -m**2 + m - 1. Let h(k) = 3*k**2 + 4*k + 5. Let n(w) = 2*f(w) + h(w). Give n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 4. Let o = 1496 - 2899\/2. Calculate the common denominator of x\/(-32)*(-57)\/15 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 739+1068637.997\nAnswer: 1069376.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18521.116 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 1 - -23 - 4 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 - 16*v**2 + 15*v - 34. Calculate the least common multiple of 3 and d(6).\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.61*8\nAnswer: 244.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 174.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + 4*z - 7. Suppose -3*y + 12 = -y - 2*x, 0 = y - 3*x - 14. Suppose y = -u + 46. Let w be u\/(-8) + 2\/4. Determine c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -17 in increasing order.\nAnswer: -17, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136039, -272470, -408899, -545326, -681751?\nAnswer: -818174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 20690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 79 and -504862 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:07 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - v + 2*b = -8, -3*v - 5*b - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4805 and -16\/1653605.\nAnswer: 1589114405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/10)\/((-12)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -47, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -8*q + 0*q**2 + 0*q**3 + 2 - 1\/12*q**4. Let y(r) = r**2 + r. Give i(y(z)).\nAnswer: -z**4 - 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 2966832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -129.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 1590?\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((10 - 1 - 21) + 2)) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20263341 + 13?\nAnswer: 20263354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 9 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -11. Let c = 682 - 715.012. Let t = q + c. Round t to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c75 (base 13) to base 16\nAnswer: 220b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4217967, 4217970, 4217975, 4217982, 4217991, 4218002, 4218015?\nAnswer: 4218030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(-3 - 2 + 3)*(118*a**4 - 187*a**4 - 17*a - 11*a + 88*a**4).\nAnswer: 152*a**4 - 224*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 6)*0\/(-22)*(-2)\/(-10). Which is the smallest value? (a) f (b) -1\/2 (c) 4260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {c: 6, d: 5, k: 1, i: 2, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 8:44 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 108*z = -147*z + 65280. What is the lowest common multiple of z and 1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxjxxxxxxjxxjjxxj. Give prob of sequence jjx.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q**3 + 4*q**2 + 169. Let w(t) = -12*t**3 - 5*t**2 - 172. What is 4*w(x) + 5*y(x)?\nAnswer: 7*x**3 + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x + 8*x**2 - 3*x**2 - 3 - 6*x**2. Let b = -135 - -136. Let g be ((-2)\/4)\/(3\/24) - b. Give h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14946, -29884, -44814, -59736, -74650, -89556, -104454?\n\"Answer: 4*d**2 - 14950*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4111222 + -401?\nAnswer: -4112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/745973 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:52 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 44. Suppose 2*l + b = 0, 3*l = -2*l - o*b - 2. Solve 0 = 3*a + l*g + 8, -4*g - 11 - 3 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkgyygkekhehgymhhhh. Give prob of sequence yhh.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747761426.\nAnswer: 2, 14969, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-1*2) - -1. Calculate the remainder when (-101)\/d - 2\/8 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*g = 232*g - 9978 - 20954 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*r = 180*r + 98. Suppose t = 3*l + r, 0*t + 4*t + 4*l - 56 = 0. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*w**2 + b**2*w + 213*b*w**2 - 2*w**2 - 2452*w wrt w.\nAnswer: -4*b**2 + 426*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-5)\/(-15))\/((-2)\/66)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -0.6 (c) -7 (d) -1.3 (e) -32 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -1\/3*s**3 - 1\/6*s**4 + 1\/120*s**6 + 175*s**2 + 0 - 1\/30*s**5 + 0*s. Give i(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1007, 2800, 4593?\nAnswer: 6386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 7)*(15 + 13 - 44)*(-s**4 - s + s) in the form v*s**2 + t + d*s**3 + q*s + m*s**4 and give m.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f + 3*f**2 - 2*f - 4*f**2. Suppose 6*l - 9 = 3*l. Let b(y) be the third derivative of y**5\/60 - y**4\/12 - 13*y**2. Give l*b(x) + 2*m(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7467*o**3 + 2*o**2 + 4*o + 2. Calculate the least common multiple of l(-1) and 3.\nAnswer: 7467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5412 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 15459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:16 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 18*h - 24. Let t(j) = 11*j**2 + 34*j - 51. Let y(m) = -9*s(m) + 4*t(m). Calculate y(-27).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8206750?\nAnswer: 2, 5, 17, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 227230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((51\/(-72))\/17)\/((-335)\/(-1340)). Let s be (-2 + 30\/14)*2. Which is the nearest to -0.5? (a) 1\/10 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/36465 and -67\/10?\nAnswer: 72930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - t. Let k be s(2). Suppose 2*m - 14 = k. Let i = -3 + m. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 2, a: 2, v: 1, h: 1, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/5)\/y)\/(y\/y**(-1\/2)))**40)**(-3\/16) assuming y is positive.\nAnswer: y**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.95 - 4.55. Let v = h - -48.6. Which is the nearest to 2\/35? (a) 0.2 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 4\/(-6) - (-1261)\/(-2522). What is the nearest to 1 in 2\/21, -5, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 123 = -131, 4*w = x + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18031384 (base 9) in base 14?\nAnswer: -12ba020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -5, 120, 2, 0.\nAnswer: -11, -5, 0, 2, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 2*i + 3. Let s(n) = n - 2. Let z(u) = -3*u**2 - u + 3. Let a(m) = -3*s(m) - z(m). What is 3*a(t) - 2*p(t)?\nAnswer: t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 14\/5, 38, 2.9, -2\/57, 0 in decreasing order.\nAnswer: 38, 2.9, 14\/5, 1, 0, -2\/57, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 91, 28, 0.1, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -234303 - -107?\nAnswer: -234185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 12*a - 11. Let y(r) = 2 - 13*r - 10*r + 2*r**2 + 19. Let m(h) = -7*b(h) - 4*y(h). What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16.1, 1097, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 19*a + 0 + 0*a**2 + 1\/12*a**3 + 1\/72*a**4. Solve b(v) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*d + 25. Suppose 0 = -6*s + 25 - 7. Put 0.3, d, s, 0.8 in descending order.\nAnswer: s, d, 0.8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 10*f + 19. Let l be s(-9). Calculate the highest common factor of l and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -15*j + 58*j - 137, x = 1077*j - 1073*j - 9 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - d - 3*d = 56, -2*d - 26 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -939 by -3.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 2, 29, -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:33 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1608, -6387, -14340, -25467?\n\"Answer: -1587*h**2 - 18*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4ad2b - 4b?\nAnswer: -4ad78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 12*l**2 - 12*l + 5. Let d be t(9). Let v = d + -96. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 6. Let v be i(7). Let j be 5*(v\/10 + 1). Suppose -14 = -u + j. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*f - 11 = 0, 2*v = -2*v + 4*f - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80293, -638907, -2155137, -5107789, -9975669, -17237583, -27372337, -40858737?\n\"Answer: -79801*s**3 - 2*s**2 - s - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -647, -1436, -2541?\nAnswer: -3962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -16.327 (c) -2\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155470067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from umummmummmmmmmummmum?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/24 and 31\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 732 + 2648. Suppose -3*q - a + g = 4*a, 1140 = q + 5*a. Round q to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/6 + 2*y**2. Let i(c) = -4*c. Let s(f) = 12*f. Let w(d) = 16*i(d) + 5*s(d). Calculate t(w(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -1714.5674.\nAnswer: -1736.5674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13. Is 2\/67 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*h - 9. Let q = h - -9. Let u = 4 + 0. Calculate the smallest common multiple of u and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 7*r**4\/2 - 4*r - 10. Find the first derivative of d(l) wrt l.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 7*m + 3*m. Let i(o) be the second derivative of o**4\/3 - 2*o. Give s(i(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1619\/229392?\nAnswer: 1619\/229392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48896 and 1815455?\nAnswer: 464756480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c - c + 4*c)*(30 - 30 + 3*c**2) + (c + c - 3*c)*(-5*c**2 - 2*c**2 + 5*c**2) to y*c**3 + l + z*c**2 + i*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let m(w) = 20*w. Let h be -4*(-2)\/12*-6. Let c(d) = h*m(d) - 20*l(d). Let z(f) = 2*f. Calculate z(c(t)).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 6. Let z(j) = -6*j - 5. Let t(h) = -7*c(h) - 6*z(h). Let d be t(12). Let s(l) = -2*l + d*l + 5*l. Let u(o) = -o. Determine s(u(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -149, -397, -857, -1601, -2701, -4229?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 10*i**2 - 15 + 59*i**2 + 209*i**2 + 16 to r + s*i + h*i**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from perye. Give prob of sequence ry.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29010\/7 + -4134. Determine j so that -102\/7*j**3 + 8\/7 + 22\/7*j**2 + r*j = 0.\nAnswer: -2\/3, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = 6. Which is the closest to 2? (a) z (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -105*k - 4200. Let n be h(-40). Let b(s) be the second derivative of 4\/15*s**3 + n + 5*s - 1\/30*s**4 + 0*s**2. Factor b(m).\nAnswer: -2*m*(m - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4995, 1, -8 in ascending order.\nAnswer: -4995, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41445886 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -104*l**2 - l - 39. Let w = 458 - 451. Let h(a) = -309*a**2 - 2*a - 118. Let i(z) = w*f(z) - 2*h(z). Find the second derivative of i(q) wrt q.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 7*d - 6. Let a be b(7). Let g = -4 - a. Is 2 + 50 + (g - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-1 + 1 + 2*a)*((3 + 28 + 12)*(0 + a + 0) + 0*a - 2*a + 0*a).\nAnswer: 246*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-240)\/(-235)*(-20)\/16. Is 0 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43121485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(475) + sqrt(19))**2*-4.\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 divided by 3?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 equal to 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + sqrt(1440) + -2*(sqrt(1440)*3 - sqrt(1440)))\/(2*sqrt(2048) + sqrt(2048) + sqrt(2048)).\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11889826 and 507?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let f = -17.1 + 17.2. What is the nearest to -1 in f, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16 + j**2 + 40*j - 60*j + 13*j. Let r be 9\/2 + (-2)\/(-4). Let m be t(r). What is the greatest common factor of m and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5907745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 124, -1, -9 in ascending order.\nAnswer: -9, -3, -1, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22231224231 - -10?\nAnswer: 22231224241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -45*i**3 + 2*i**2 + i - 1. Let x be t(-1). Let b = -28 + x. Let y be 335\/20 - (-1)\/4. Is y equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1348 - 350.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2018 + 2024. Let m(c) = c**2 - 11*c + 13. Let p(h) = -h + 1. Let k(w) = -m(w) - p(w). What is the remainder when 42 is divided by k(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*y**3 + 953*n - 5472*y**5 + 4*y**4 + 54*y**2 wrt y.\nAnswer: 6*n - 328320*y**2 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -52. Let a = 4 + -3. Which is greater: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*j + 5*j. Let q = 93121\/2 + -46561. Let s = 0.3 - 1. Which is the closest to j? (a) 1\/4 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812187 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.51 + -0.81. Let r = 7.3 - n. Let p = 7 + -7.3. Sort p, -3, -2\/3, r in descending order.\nAnswer: p, r, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41497 + 11*u**2 - 3*u**2 - 41497.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 l when three letters picked without replacement from {d: 2, l: 1, e: 4, b: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 5. Let p be u(4). Solve 0*s + 6 = p*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 260*g**3 - 3860*g**2 - 12480*g - 11520.\nAnswer: -5*(g + 2)**2*(g + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + q + 14 = 0, 32*q - 154 = 2*s + 48 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = -48*v + 933 + 328 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341665 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*f - 7. Suppose f*a = 2*w + w - 314, 2*w - 235 = 3*a. Let l = a - -87. What is the smallest common multiple of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 117. Calculate the highest common factor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 14*h**2 + 5*h - 125. Let g be j(5). Suppose -3*c - 2*c = 15. Let i = -1 - c. Solve i*v = -g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1235738 = 165*x - 1245968 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39849 and 370?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(2 - 2*p - 2)*(-4 + 9 - 17).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, 1 z, and 1 w when four letters picked without replacement from {r: 1, z: 2, w: 3, y: 4, b: 2, f: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 30. Suppose 0 = 5*t - 63 - 12. Let k = v - t. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -271 and -296.4.\nAnswer: 80324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 29. Let c be (-5)\/(-2 - 5\/(-2)). Let k = c + l. What is the remainder when 7 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295963 (base 12) to base 16\nAnswer: -a981b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(20\/441)*2*(-9)\/((-378)\/(-12)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 56 - 35 - 5*n - 88 - 55 + 41*n. What is the units digit of j(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 6*r + 1. Let j(w) = w**2 - 5*w - 1. Let t(p) = -2*p**2 + 14*p + 3. Let x(n) = -7*j(n) - 2*t(n). Determine -4*d(c) + 3*x(c).\nAnswer: -c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.71 and -314.982.\nAnswer: -315.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/20)\/u*u*u**(4\/3)*u**(-26)\/u**22 assuming u is positive.\nAnswer: u**(-2809\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 685 + 4476*f - 344 - 2*f**2 - 341 in the form r*f + y + i*f**2 and give r.\nAnswer: 4476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = r - 14. Suppose r*h - 3*s - 18 + 2 = 0, -2 = 3*h + 2*s. Solve -h*j - 2*m = -14, -4*j + 0*m = m - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-30))\/(8\/(-100)) - -4. Solve -j*p - 6 = -11*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 + 6*q - 2. Let d = 1 + 5. Let h be g(d). Is h bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from japjjasaaaxp. Give prob of sequence pxpj.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.833 rounded to 2 decimal places?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((-84)\/(-8))\/(-3)*-6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:05 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99702975 by 5.\nAnswer: -19940595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7960797s in microseconds?\nAnswer: 796079.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 4 + (4 - 1 - 4)*(-3 - 2 + 2))*(-1 + 4 - 1)*(3*w - 5*w + w) as a*w + l and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-15050)\/(-129))\/(-50))\/(168\/(-108))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0448 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8885236 hours to seconds.\nAnswer: 3198.68496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -15*o**5 - 16653*o**4 - 19890*o**3 + 79818*o**2 - 33279*o - 9981 = 0.\nAnswer: -1109, -3, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -532277.\nAnswer: 691960.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 48 = -3*t. Let g = 30 - t. Suppose -3*l - n - g*n = 2, -2*l - 3*n = 0. What is the highest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}