diff --git "a/data/dm_maths/full_data/1808_11255.jsonl" "b/data/dm_maths/full_data/1808_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1808_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 2, 2\/15, -25 in ascending order.\nAnswer: -25, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -49 + 122 + -18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -191\/4. Let v = -3.01 + 0.01. Let q = v - -4. What is the closest to m in -4, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 217 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 8*l**2 + 6*l - 6. Let j(h) = 2*h**2 + 1. Let a be j(1). Suppose -4*i - 7 = -a*i. Give u(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -340, -497, -782, -1213, -1808?\n\"Answer: -3*w**3 - 46*w**2 + 2*w - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 16) to base 11.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/3 + -12697 - -1. Is (-2)\/(-7) - y\/140 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21))\/((-1192)\/1788).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 356 = 364. Let d = c - -283. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*w - 13 + 13 to a*w + s and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/5, 1\/5, 43, 7\/11, -0.5 in increasing order.\nAnswer: -0.5, -2\/5, 1\/5, 0.3, 7\/11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let a(f) = 8*f - 5. Let g(y) = a(y) - 5*u(y). Let v(x) = -4*x**2 - 1 + 3*x**2 + 1. Calculate v(g(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 67*s - 367. Determine r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 28868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1307 divided by 2\nAnswer: -1307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**3 - 16*l**2 + 4*l - 6. Let w(f) = -20*f**3 - 48*f**2 + 11*f - 17. Calculate 11*p(g) - 4*w(g).\nAnswer: 3*g**3 + 16*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 + 6692*j**2 - 6688*j = 0.\nAnswer: 0, 1, 1672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -590 or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15*w + 3*w + 4 - 4*w**2 - 4*w**2 + 8*w - 35*w. Let k(j) = 2*j**2 + 2*j - 1. Determine -4*f(y) - 18*k(y).\nAnswer: -4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 31*j - 2. Let i(r) = -14*r**2 + 154*r + 10. Calculate -2*i(z) - 11*x(z).\nAnswer: 6*z**2 + 33*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -18 (c) 4 (d) -0.4 (e) 3 (f) 3\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-60)\/(-195)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.078 + 0.578. Which is the nearest to 3? (a) u (b) -0.4 (c) -1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/4, -1\/21, 2, 3 in increasing order.\nAnswer: -1\/4, -1\/21, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20551125 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/75 in 5, -0.4, 3, 4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2.86, 5, 3, -3 in descending order.\nAnswer: 5, 3, 2.86, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 31. Let f(a) = 11*a**2 + 8*a - 3 + 4 + a**3 + 0*a**2. Let i be f(s). Calculate the highest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 3, 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 bigger than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 13\/3. Let n(z) be the second derivative of 1\/5*z**5 + 0 + 0*z**2 + z - 1\/21*z**7 - t*z**3 + 0*z**6 + 0*z**4. Factor n(h).\nAnswer: -2*h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 663*j - 21*j**2 - 657*j + 118*j**2 to the form u*j + v*j**2 + w and give v.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117\/7*b + 222\/7 + 3\/7*b**2 = 0 for b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 168*k**2 + 1827*k + 267*k**2 + 6 - 1848*k as n*k + m + j*k**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120202121002 + -2221?\nAnswer: -120202201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a0d - 2482?\nAnswer: -1974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 1848256616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833*l + 1839*l - 30 = 0. Let x(g) be the third derivative of 0*g**4 - 5\/2*g**3 - 1\/15*g**l + 0*g + 0 + 15*g**2. Differentiate x(d) with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -19007, 55.\nAnswer: -19007, -12, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1120349\/7 + 160891. Let z = p - 841. Let g = -2.03 - -0.03. What is the second smallest value in z, g, 3\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14883 and -0.015.\nAnswer: 14882.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -52*f - 6. Let r(y) = -55*y - 6. What is 4*h(u) - 3*r(u)?\nAnswer: -43*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1275, -1284, -1291, -1296?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*(a*a**(-2\/5))\/a)*a))**26*(a**2)**8)\/(a**(-8)*(a**(-2\/29)\/a)\/a*(a**(-2\/7)*a)**35) assuming a is positive.\nAnswer: a**(-1353\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -5, -57175, 0, 3 in increasing order.\nAnswer: -57175, -5, 0, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 652. List the prime factors of t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -451*u**2. Let i(g) = 25190*g**2. Give w(i(h)).\nAnswer: -286175781100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 33*g + 91. Determine b(-37).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let o be (0 - m) + 8*2. Suppose w = 4*a - 24, -103*w + 3*a = -100*w + 9. Solve 2*b - w = 5*x - 24, 5*b = -4*x + o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 206. What are the prime factors of v?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 817\/9 - 4151\/45. Let t = -5\/3 - f. Sort -12, -0.1, -3, t.\nAnswer: -12, -3, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*u - 3*u + 74, -g + 155 = -2*u. Let t = 45 + u. Let a be 6\/8 + 28\/t. What is the nearest to 3 in 0.5, a, 2\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b4 - 82?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/2)\/w)**(10\/3)\/(w**6\/w**2) assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 31*n - 15. What is b(30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/24 + 10*f**2. Let o = 131 - 109. Let t(n) = -34 + 15*n + o + 11. Give j(t(l)).\nAnswer: -15*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 10 = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/20870872 and -51\/37499.\nAnswer: 146096104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9666 - 0.0334. Is t smaller than -4.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*n + 465, 4*n = t + t + 260. Let d be ((-15)\/(-12))\/((-2)\/t). Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22155 + 22346. Solve -83*o + k = 855 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11998 divided by -2.\nAnswer: -5999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 + 650 = 28*p + 54 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 5 (b) -0.1552 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 29*n + 5. Let k(q) = 15*q - 3. Let l(m) = 5*k(m) + 3*s(m). Let o be l(8). What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49 - 23)\/((-1)\/22) a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -61, -91, -121, -151?\n\"Answer: -30*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:27 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.6. Let m = -3\/19 + -13\/38. Which is the nearest to m? (a) 2\/5 (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 21 = 5*t - 8*t, 5*t - 13 = 3*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8)*(-1168)\/(-60) - (4 + -9). Which is the nearest to 1? (a) -1\/2 (b) s (c) 51\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7042*0.02\nAnswer: 140.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*g - 8079 - 7581 = 0. What is the nearest to 0.2 in 0.2, -4, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 11. Let w(o) = d*o - 2 + 2. Let h(y) = -362*y + 224*y + 140*y. What is h(w(r))?\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23640 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-four fifths of a millennium?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 141*q - 699. What is the tens digit of b(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/564 (b) 51 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*x = -3*x - 16, -4*x - 29 = 3*u. Let y(v) = 64*v + 22. Let h(k) = 18*k + 6. Let l(m) = -7*h(m) + 2*y(m). Calculate l(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*w = 4*w - 20, 0 = 3*r - 3*w. Let k = 9 - 9. What is the third derivative of c**5 + c**2 + c**r + k*c**2 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 0\/(-3) - 3. Does 17 divide (14\/3)\/(j + (-1194)\/1206)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 - 0.12. Let d = 106884 - 106889. What is the second biggest value in d, w, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(7\/(42\/9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8) + -9 + (-7 + 1 - -16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*b - 2400 = -146*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(4) + 2*sqrt(4)))\/(sqrt(36)\/(sqrt(9) - (-3*sqrt(9) - sqrt(9)))).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*p + 5, -a + 19 - 17 = 3*p. What is the nearest to a in 3, 4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 - (-8)\/((-480)\/(-310)) and (-1)\/12*-2 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8*45\/135*(-24)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let b(o) = -129*o**2 - 18. Let s(h) = -9*h**2 - 1. Let f(i) = b(i) - 5*s(i). Give l(f(j)).\nAnswer: -168*j**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -600 - -808. Find the first derivative of 20*k - 167*k + 68 - y wrt k.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10004.7 - 10005. What is the nearest to 0.2 in 1.7, q, -4, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + (64 - -29 - 101).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.001.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 5*i**2 + 3*i**2 - 4 + i + 3. Let g(m) = -m**3 - 3*m**2 - 3*m + 3. What is 2*g(p) + 6*u(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*t = -59, -4*t + 67 = -1653*r + 1658*r. Solve 0 = -4*n - 4, -4*n = -4*y - r + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.157071 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3132332002 (base 4) to base 5\nAnswer: -213211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168*c**3 + 52*c*t**2 + t**2 + 70386*t with respect to c.\nAnswer: 504*c**2 + 52*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = -3*z + 18, -5*m = -2*z - 7. Suppose -m*h + 6*h = -2*b + 148, 2*b = -4*h + 196. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p - 4. Suppose -4*a = 5*f - 95 + 25, 0 = -5*a. What is the smallest common multiple of p and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -803119 at least -803055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4\/4 + 75*q**3\/4 - 165*q**2\/4 + 85*q\/4.\nAnswer: 5*q*(q - 1)**2*(q + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 7)*(35*t - 4 - 39*t - 2*t**4 - 22*t) to g + a*t**4 + u*t + f*t**3 + x*t**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 396 + -106d?\nAnswer: -ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 536593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1305, -1489, -1675, -1863, -2053, -2245?\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4557*u**2 - 124*u - 62. Let i(k) = -217*k**2 - 6*k - 3. Let l(x) = 3*d(x) - 62*i(x). Let h(a) = -2*a. Calculate h(l(y)).\nAnswer: 434*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 1. Let h(k) = 23*k - 9. Let v(b) = -66*b + 26. Let i(p) = 17*h(p) + 6*v(p). Give 4*i(x) + 9*r(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/18 and -47\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 7 = 3*d + 6 - 14, -4*n = 12*d + 44 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:06 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.6, 3, 0.062, 1, -4 in ascending order.\nAnswer: -4, -2\/3, -0.6, 0.062, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + 6*p - 6. Let g be u(-5). Suppose 5*i - 6 = g. Suppose 0 = i*t + 2 - 18. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 5*j**3\/3 - 16*j. Let i(r) = -3*r. Calculate t(i(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400804 and 3686?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**7\/70 - 3*w**6\/40 - 3*w**5\/20 - w**4\/8 + w**2\/2 - 2. Let m(r) be the second derivative of i(r). Factor m(h).\nAnswer: -3*h*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (655 - 710) + (14 - 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 63?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*b - 165*b + 336*b)*(-5*b + b + 2*b)*(0 + 9 + 4).\nAnswer: -8814*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 57 + 20*x**2)*(-2*x + 0*x + 3*x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 - 1105*r - 15982. Determine h(171).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + (-6)\/(-10). Let r = 169\/5 + -381\/20. Let b = -1007\/68 + r. Is b equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/3 (c) 0.4 (d) -1100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 - 1. Let r(x) = 4*x**3 + 17*x**2 - 16*x - 16. Let p(i) = r(i) + 3*v(i). Let u be p(-15). Does 20 divide (126\/u)\/(12\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 195.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, -0.4, 0, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -706020 greater than or equal to -706021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (34 - (110 + -19))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36985327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -351 + 232. Let x be f\/(-13) + (-2)\/13. Solve 5*q - 4*r + 27 = 0, -5*r + 12 = -2*q - x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 - 2*b - 6. Let p be m(-6). Let o be (-16)\/(-10) + p\/(-10). Let x = 5785 - 5784. Solve -c + o + x = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12507, -12373, -12145, -11823, -11407?\n\"Answer: 47*p**2 - 7*p - 12547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.2, 13, 2, -4\/5, 57 in increasing order.\nAnswer: -4\/5, -0.2, -2\/13, 2, 13, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 2.8 (c) -2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 32. What is the units digit of r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-12)*r*r**8 assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 5. Determine v(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1036 and 80570238?\nAnswer: 161140476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 31, 86, 167, 274, 407, 566?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*p = -14, 3*g - 6*p + 30 = -p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -48, 47, 12 in descending order.\nAnswer: 47, 12, -29, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5 - (4 - 13)). Which is smaller: p or 3\/124?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 33*x**2 + 59*x**2 + (2*x + 0*x + 0*x)*(0*x + x + 4*x) - 3*x**2 - 2*x**2 + 4*x**2.\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 3\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1847420, -7389713, -16626868, -29558885, -46185764, -66507505, -90524108?\nAnswer: -118235573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 + a**2 - 1. Let v be j(1). Let d(b) = -b**3 - 8*b**2 + 9*b + 2. Let h be d(-9). Let c be (v + h)*1 - -4. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 11. Let m be (4 + q)*9\/15. What is the second biggest value in 1\/5, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 10) in base 9?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {e: 5, x: 1, z: 3, k: 9}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -2 (c) -2\/31 (d) -253 (e) 5 (f) -2\/11 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -26*r**2 + 6*r - 10. Let o(d) = 26*d**2 - 7*d + 12. What is 7*h(j) + 6*o(j)?\nAnswer: -26*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b = -41*b - 138 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2188?\nAnswer: 10940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*a**3 + 392*a**3 + 15*a**3 - 232*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005658 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 f when four letters picked without replacement from fuukkuuuuutucffuukt?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003035823813 to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b*b)\/b**(1\/12)*b\/b**(2\/17)*b**(-4)\/b)\/((b*b**(-1\/4))**(-1\/58)\/(b**(2\/5)\/b*b\/(b**6*b))) assuming b is positive.\nAnswer: b**(-206167\/19720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 2. Give n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -6) + 2 - (48 + 13 + (0 - 0))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkz when three letters picked without replacement from kqoqczzckqqcqkzcczzq.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m + 38*m - 130*m + 19264 = 0. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 2*s + 1. Let w be c(2). Let z = w - 1. Solve 3*m - 5*b - 14 = 0, -4*b - z = 3*m - 7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 12*p**2 - 10*p - 9. Let y be n(11). Suppose -19*x = -18*x - y. Solve 2*m - 9 = 3*l - x*m, -3*l + 5*m = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10829997 is divided by 1425?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75895237 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*d = -0*d - 6, -2*y = -d - 3. Let g(j) = j**3 + j**2 + j + 8. Let n be g(0). Suppose n = 2*z - y. Solve 3*p = p + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 3*h**2 - 6. Let i(x) = -11*x - 71. Let v be i(-6). Give n(v).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = i + 4*u - 22, 4*i - 108 = -2*u. Suppose 2*q + 25 = 5*y, 0*q - i = -5*y + q. Is 24 a factor of -7*y\/(70\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917992733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 755576, 1511496, 2267416, 3023336?\n\"Answer: 755920*b - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -4, 0.2, -6, -5, 5 in increasing order.\nAnswer: -6, -5, -4, -1.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**6\/300 + q**5\/75 + q**4\/60 - 2*q**3\/15 + 7*q**2 + 15*q. Let p(t) be the first derivative of v(t). Factor p(b).\nAnswer: -2*(b - 2)*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -49*i - 347. Give g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(325))**2 - sqrt(52)*-1.\nAnswer: 2*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsxs when four letters picked without replacement from {s: 8, k: 2, x: 6, f: 2}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2002*p - 5136 = 1998*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((4\/72)\/(202\/(-606))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1288, -1115, -772, -265, 400?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 210002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28219559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291238.\nAnswer: 2, 113, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 3*a**5\/50 - a**3\/15 + a**2. Factor t(b).\nAnswer: 2*(3*b - 1)*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 542 and 988.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -4*g + 64*g. Let j be 7\/((-3)\/(-1 - 2)). Find the second derivative of 14*l + 2*l**g - l**3 - j*l + 12*l**3 wrt l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447264649 divided by -34404973\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10797, -9879, -8959, -8037, -7113, -6187?\n\"Answer: k**2 + 915*k - 11713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(125) - (sqrt(5) + 2 + sqrt(5)*3)) + ((1 + sqrt(5))*6 + 4)*-1)**2*-1*-5.\nAnswer: 450*sqrt(5) + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 914a21 (base 11) in base 10?\nAnswer: 1470657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19, 0, -0.1, -2, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 1061, 1593, 2127, 2663?\nAnswer: 3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p - 2*g, 3*p - 13 = -p + 3*g. Suppose 2*c - 96 = -3*z, p*z + 5*c + 2 = 130. Let r = z + -7. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29632)\/(-40))\/(-8) - (-490)\/(-1225)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1 - 2276*a + 2345*a - 1. Let v(t) = 2*t**2. What is v(j(h))?\nAnswer: 9522*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 12*b**2 + 2*b - 1 - 6 + 13 - 5. Let h(i) = -i**2 + 7*i - 7. Let n be h(6). Determine k(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4201543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -344.3 (b) -284 (c) -28\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5527*v + 197827 - 194059 = 259360 + 230784 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (105 + -84 + 24)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(4\/9)\/(h**(1\/8)*h\/h**9) assuming h is positive.\nAnswer: h**(157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 555 = -5*r - 175, -5*s + 189 = 2*r for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 = -19, -3*f + 35 = -4*v. Put f, 2, 3, -14, -1 in increasing order.\nAnswer: -14, -1, 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 - 5*d + 2. What is r(-5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*q, 0 = x - 4*q + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 21. Let w = -1.8 + 2. Put r, 5, w in increasing order.\nAnswer: r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 7*r**2 - 3*r - 6. What is p(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-20)*k*k\/((k*k**(-1\/6))\/k) assuming k is positive.\nAnswer: k**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**2 - 23*v**2 - 29*v**2 + 12*v**2. Let b(s) be the first derivative of -2*s**3\/3 + 252. Give p(b(x)).\nAnswer: -224*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116 + 249 - 111 - 12*c to the form y*c + p and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32225200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-704)\/22)\/608)\/((-2)\/(-4))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2499 and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 105594?\nAnswer: -105599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*z**3 - 230*z + 1342*z**2 - 7*z**3 - 1342*z**2 + 3732 with respect to z.\nAnswer: -3*z**2 - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, 0.3, 1, 41, -1, 0.05, -3.\nAnswer: -3, -1, 0.05, 0.3, 0.72, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1938 (c) 57 (d) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 - 6*y. Let u(r) = 4*r**2 + r + 1. Let j(n) = -l(n) - 6*u(n). Let o(d) = -d**2. Determine j(o(z)).\nAnswer: -31*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 + 384 = l. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g**2 + 4*g**2 + 6*g**2)*(-55 + 36 - 196 + (0 + 4 - 6)*(-3 + 0 + 2)) to k*g**2 + b + m*g and give k.\nAnswer: -3834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40326\/936 + -43)*(-8)\/(-10)*2*111.\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (190\/(-20))\/(0 - 2\/8). Suppose i = 8*y - 90. Suppose y*n = 20*n - 4228. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 41.9. Let h = -3 - p. Let o = -20.4 + 21.4. What is the third smallest value in 2\/9, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-52)*344\/6. Does 87 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 460*x - 2409 + 7640 + 9029 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 62*q + 302. Determine b(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -3. Let n(y) be the second derivative of -y**6\/120 - y**5\/15 - 5*y**3\/6 + y**2 + 2*y. Let r(w) be the first derivative of n(w). Give r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(7\/56*-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-5)*w)*w**(-1\/49)*(w*w**5\/w)\/w*w*w**(1\/24)*w assuming w is positive.\nAnswer: w**(11785\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6377043724 - 1.5.\nAnswer: 6377043722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - l**2 + 5*l - 12. Let d be o(2). Solve -20*b = -d*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/36 + 10\/(-45))\/((-17)\/((-2295)\/(-36))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/2)\/(((-95)\/4)\/(1860\/2976))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-35) - (-74)\/5. Let o(h) = -h**3 + 15*h**2 + h - 9. Calculate the remainder when 15 is divided by o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 11 + 29\/1. What is the third derivative of -39*d**6 + q + 32 - 63 + 9*d**2 wrt d?\nAnswer: -4680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/7*2\/(-6)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 52. Find the third derivative of 14*n**2 - 12*n**2 - 2*n**5 - 11*n**k wrt n.\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 246, 802, 1892, 3696, 6394, 10166?\n\"Answer: 30*j**3 - 3*j**2 + j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87033?\nAnswer: 3, 67, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.4 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3743 = 3*p, -4*w = 4*p + 876 - 3872. Let a = -526 + w. List the prime factors of a.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 9*q**2 + 8*q**3 + 3*q**2 - 3*q**2.\nAnswer: 8*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*o - 43*o + 524*o - 69*o - 63*o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.0735 + 14.5735. Let j = 0.7 - 0.4. Which is the second biggest value? (a) 4 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 78*m + 59 + 103 - 258.\nAnswer: 78*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.502993 to three dps.\nAnswer: 0.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19 + 21 + 0\/(-1 + -1). Which is the second biggest value? (a) w (b) 3 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2709*i - 720. Let b(p) = -271*p - 69. Give -2*a(u) + 21*b(u).\nAnswer: -273*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/34 - (-90)\/(-66). Which is the closest to n? (a) -4 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or -11105536?\nAnswer: -11105536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.1 and -96.\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 113046 (base 8) to base 15\nAnswer: b5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1577*q - 4505*q - 484*q - 599*q to the form k*q + z and give k.\nAnswer: -7165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491611 is divided by 549?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110.4 + -1\nAnswer: -111.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6399, -6020, -5639, -5256, -4871, -4484, -4095?\nAnswer: -3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*q + 22878 + 20464 - 15802 = -1340*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 4*g + 7. Let n be w(-5). Let i = -20 + n. Let c = 24 + i. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 2)*(14 + 5*d - 7 - 2*d).\nAnswer: 9*d + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-168)\/(-5) + 6\/15. Let o(i) = 5*i**2 - 5*i - 4. Let p be o(4). Let c = p - v. Calculate the highest common divisor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 603, 649, 761, 969, 1303, 1793, 2469?\n\"Answer: 5*s**3 + 3*s**2 + 2*s + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k**2 - 2*k - 5. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51032 = -5*i + 16097. Calculate the common denominator of -17\/60 and 3\/10 + i\/(-1785).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14082371.\nAnswer: 23, 29, 43, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 109 = 581. Let i = f - 115. Solve i = -5*p - 4 + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2. Let d(z) = -2*z. Give x(d(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 134, 98, 48?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112\/13*v**2 - 230\/13*v - 116\/13 + 2\/13*v**3 = 0. What is v?\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - p. Let t be x(-1). Suppose t*w = 5*w - 186. Let a = w - 88. Let g(y) = -y**2 + 5*y - 3. Calculate g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349584 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -725 + 727. Put l, -20, 3, 4 in decreasing order.\nAnswer: 4, 3, l, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 0*b + 5\/4*b**4 - 2 - 1\/3*b**3 - 1\/2*b**2. Calculate l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449025 is divided by 11444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-6) + 0 - 0. Which is the closest to 0.55? (a) -0.4 (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 6136?\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2460986 months to millennia.\nAnswer: 0.00010384155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -115 (b) 1\/2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 - 8*t - 11. Give q(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 1. Let n = o - 9. Let g(s) = -2*s + 42. Let t be g(14). Solve -3*r + t = 4*h, -5*r + 10 = n*h - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11245.\nAnswer: 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2194, 4403, 6624, 8863, 11126, 13419?\nAnswer: 15748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, 14, 58, 120, 200?\n\"Answer: 9*o**2 - o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 53*c - 88 - 93 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -9, 17.97?\nAnswer: 17.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (0 - 1) - 7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 16*y - 12. Let u be r(-15). Suppose u = 3*h - 24. Let b(w) = 2*w - 21. Let x be b(h). Which is smaller: x or -9\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 119 = -91 - 94 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 12*l - 7. Let o be g(4). Suppose -59 - o = -5*t. Is 10 a factor of 5\/((-10)\/(-3))*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4200 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 4) to base 7\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2697 and 52.\nAnswer: 140244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3896, -3898, -3900, -3902, -3904, -3906?\nAnswer: -3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-24) - (-6)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9 + 10 - 12*v + v**2 + 13. What are the prime factors of j(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a + 30. Let w be l(-12). Let j = w + 39. Let n = j - -63. Solve n = 3*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-392\nAnswer: -392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*8\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/45 and ((165\/60)\/(-11))\/((-3)\/(-86)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45570003)\/7 + 60\/140. What is l rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19999.\nAnswer: 7, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z + 11. Let p = -7 - z. Suppose 0 = -4*h - f + 29, 3*h = 4*f - p + 21. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -723*q**3 - 2*q - 815 wrt q.\nAnswer: -4338*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1074 (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/24 - 7*a**3\/6 - 14*a. Let v(b) be the second derivative of w(b). Let r(h) = -3*h. Determine -r(l) - v(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*d + 14*d**3 + 8*d**3 - 20*d**3 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166 times -5?\nAnswer: 5830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*c = 60, i + 2*c + 0 = 18. Suppose 4*s - i = -0*s. What is the derivative of 1 + s*j**2 + 3 + 4*j**2 - 7*j**2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -171. Suppose m - 8 = 2*z + 8, o*m + 5*z + 1 = 0. Solve -5*w + 3*s = 14, -3*w + m*s = 3*s + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*((4 - 1 + 0)*(-4*o + 6*o + 0*o)*(-4 - 1 + 3) + o - 8*o + 2*o).\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 16 + 14. Let n = h - -16. What are the prime factors of (-315)\/(-30)*n*2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 23461 + 2689 = 0. Suppose -5*x = 3*f - 20429, 3*x = f - 1598 - z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -5 (c) -1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 6*v + c = 17, -3*c + 0*c + 291 = -18*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/(s**(-8)\/s)))\/s)**(6\/25)\/(s*s**(-2\/3)*s*s**(-11)) assuming s is positive.\nAnswer: s**(581\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*z - 248804 - 36655, -4*x + 380616 = 2*z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -1040*w**3\/3 + 36*w**2 - 1038. What is the second derivative of v(a) wrt a?\nAnswer: -2080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4816501 minutes?\nAnswer: 28899006000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -208000 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/14 and 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91263030 divided by -3042101?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3830.5 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -522525?\nAnswer: 2\/174175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 4*p + 5*p**3 - 5*p**2 + 4*p.\nAnswer: 5*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24925895 and 0.9.\nAnswer: 22433305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g - 9. Let a(s) = -s**2 - 9*s - 8. Suppose -2*f + 2*j + 2 = 14, f = -2*j + 3. Let m(l) = f*a(l) + 2*d(l). Solve m(u) = 0 for u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*q = 1537 - 2866 - 2846 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 11) to base 8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u + 26. Let j be i(-4). Is 5 - (4 - (12 + j)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a63 - 4?\nAnswer: a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2082 - 2125) + (-4 - -99)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 738*k**3 - k**2 - 10*k**4 + 61*k**4 + k - 739*k**3 as i*k + s + f*k**3 + n*k**2 + w*k**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**8\/168 + s**6\/60 - 3*s**3 - 8*s. Let a(v) be the second derivative of m(v). What is the third derivative of a(j) wrt j?\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 4648*l + 1230*l**3 + 7308*l**2 + 1709*l + 9696 + 8211*l.\nAnswer: 3*(l + 2)**3*(l + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 786128 and 224608.\nAnswer: 1572256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 5*c. Let f be m(-4). Suppose -3*d + v = 18, f*d + 28 = -3*v - 9. Let k = d + 16. Solve -s - 5 = 5*u, -5*u - k + 4 = -4*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14209642*n**3*u**2 - u**2 - 78*u + 7617 wrt n.\nAnswer: -42628926*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 124\/(-31)*(1 + (-26)\/28). Let y = -0.4 - 1. Let k = y + 1.54. Is k less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -5, -2\/11, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1*z*(z*z\/(z*z**(-2)\/z*z))\/z)\/(z**(-5)*z*z\/(z\/(z*z\/(((z*z\/(z\/(z*z**(-6))*z))\/z)\/z)))) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/142 - -73\/284. Let t(m) be the first derivative of -b*m**4 + 0*m + 2*m**2 + 0*m**3 - 6. What is the second derivative of t(j) wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220*j - 2454*j + 1229*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2769 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4 + 2032*r**3 - 39324*r**2 - 1677312*r + 1714608 = 0.\nAnswer: -21, 1, 42, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 159\/4? (a) -0.07 (b) 0.174 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*j**4 - 4*j**3 - 5*j**2 + 5*j**3 - j + 2 + 58*j**4 to the form v*j**4 + l*j**3 + z*j + c*j**2 + i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2420*p + 17 - 25 + 15 - 18.\nAnswer: -2420*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8541842 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (2*(sqrt(2736) - sqrt(2736)*1)**2 - -4*(0 + sqrt(2736))) + -3.\nAnswer: -5 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105361948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0.1663 (b) 1\/4 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**4\/12 - 6*q**2. Let t(y) = -24*y**2. Give l(t(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 + 1 = -q, 5*q = -4*z + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -110 - ((-12)\/4 + 3). Is 11 a factor of c\/(-2) - 4\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1289.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146284 is divided by 700?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*u = -12, -2*b + b = 2*u - 22. Let i be 28\/(-3)*(-21)\/2. What is the highest common divisor of b and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*r + 38*r + 645 + 187 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 9*b - 1. Suppose 4*w - 15 = -39. Let d be k(w). Let g = -2 + d. What is the remainder when 58 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 2763.\nAnswer: 19341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 j when three letters picked without replacement from lljtegg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6997, 7354, 7943, 8764, 9817?\n\"Answer: 116*a**2 + 9*a + 6872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1400*q**3 - 435*q**3 - 708*q**3)*(0*q**2 + q**2 - 2*q**2 - 5*q**2 + 2*q**2 + q**2 - q**2 - q + q + (-2*q + 3*q - 2*q)*(2*q - 3*q - q)).\nAnswer: -514*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-4) + (-5)\/((-10)\/(-3)). Suppose 4*r = o*r + 218. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**4*((v\/v**(-2\/5)*v)\/v)\/v)**(-31) assuming v is positive.\nAnswer: v**(403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*x + 8, -4*x + 7*x + 2*d - 11 = 0. Let k = -98 + 120. Solve 2*o = 5*z - 33, -x*o + 0*o - k = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/((-3)\/(1*45)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 116020126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, e: 3, x: 2, z: 1}. Give prob of sequence ebx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2809c + -1?\nAnswer: 2809b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -28\/11*y - 23 - 9\/11*y**2 + 4\/11*y**3 + 1\/22*y**4. Find x such that q(x) = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -193111034*s**2. Let i(h) = -4*h. Give i(m(k)).\nAnswer: 772444136*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5813411 divided by 1007.\nAnswer: -5773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 93. Let d = -5 - -7. Suppose -q - 12 = -d*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.14, -11, -2\/3, -0.63, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*u = -169*u - 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -14*d - 1. List the prime factors of y(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*c**2*o - 7*a*o**2 + c**2 - 4*c*o**2 - 7*c*o - 8*o wrt c?\nAnswer: 2*a*c*o + 2*c - 4*o**2 - 7*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*w - 84930040, -14872225 = 2*c - w + 19099767. Round c to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -556576 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -863 - 67 + 59 - 179 - v to q*v + c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71587*v**2 - 1316*v.\nAnswer: -143174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1\/(1\/(-2))) + -30. Let v be (-1 - -2)*(-24)\/a. Let 2\/5*l**2 + v*l + 2\/5 = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-363*g - 4472*g - 21982*g - 1152*g - 39222*g) as s*g + h and give s.\nAnswer: 134382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592681747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 148 = -2. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 8. Let j be w(2). Solve 0*u - j = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-498)\/180 - -3) + (-2)\/(-12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 163870?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*l - 6 = 0, 3*d + 2*l - 25 + 31 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 35*m**3\/3 - 11*m**2\/2 + 1. Let q(w) = -34*w + 18*w**2 + 90*w - 60*w - 6*w**2. What is 6*c(j) - 17*q(j)?\nAnswer: 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 102 + 0 = 0. Solve 0 = g*d - 13*d - 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:29 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 27085 = 5*f - 9*f, -5*w + 27045 = 4*f. What are the prime factors of w?\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*(a**5*a)\/a)\/a*a))**(-5\/9)\/(a**(2\/7)*a)**(3\/11))**(2\/43) assuming a is positive.\nAnswer: a**(3364\/29799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a68ec (base 16) in base 2?\nAnswer: 10110100110100011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(3\/2)))\/(n*n**23*n)*(n*n**(1\/3))**(-2\/9))**(-1\/11) assuming n is positive.\nAnswer: n**(1285\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/4 + 37*t**3\/4 + 211*t**2\/2 + 368*t + 384.\nAnswer: (t + 2)*(t + 3)*(t + 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 722 = 4*q, -q - 373 = -3*h + 2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(35)*-2 - sqrt(35)))\/((1*sqrt(336))\/sqrt(12)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 57*q + 14. Let l be x(7). Suppose 2*m - l = 3*a, -4*m + 3*m - 3*a = -184. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(-2\/41))**22 assuming y is positive.\nAnswer: y**(-44\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -3*z**5\/140 + 29*z**4\/84 - z**3 + 8*z**2\/7 + 3*z + 4. Factor j(o).\nAnswer: -(o - 8)*(o - 1)*(3*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - 1 + 1 - 2*u + 3*u + 0*u - 3*u - 5*u + 6*u + (-5 + 0 + 3)*(0*u + 0*u + 2*u) + 1 - 1 + 2*u + (1 + 1 - 3)*(3*u - u - 3*u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(0 - (-2)\/(-2)). Suppose w*x + 0 - 4 = 0. Let r = -1153 - -1160. What is the highest common factor of x and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2757718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) + sqrt(7) - (sqrt(567)*-6)**2.\nAnswer: -20411 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/735)\/((-3)\/(-105))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 277*s**3 + 4274*s**2 - 455385676*s wrt s.\nAnswer: 1662*s + 8548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 189943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6028 (base 13) to base 11\nAnswer: -9a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2))**(-1\/4)*(y\/(y*y*y*y**(2\/5)))**(-2\/39))**36 assuming y is positive.\nAnswer: y**(-1179\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(40\/(-30)*15\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(384) - (sqrt(2106) + 5*sqrt(2106) - sqrt(26)))\/(((2*sqrt(176) - sqrt(176))\/sqrt(11))\/((-1*sqrt(32))\/sqrt(4))).\nAnswer: 423*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from ttbbbntcntnbntntttrn.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 3. Let s(r) = 1. Let u(z) = -z + 1. Let h(x) = 2*s(x) - u(x). Calculate 3*h(b) + w(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 192 - 148 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 69. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from susqjopu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r = -2*r + 103*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7617, 60983, 205837, 487923, 952985?\nAnswer: 1646767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505298?\nAnswer: 2, 23, 107, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-120))\/(6\/15))\/((-2)\/46).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1555.3 - -1555.6. Let x be 6*1\/3*1. Let u be 0 - (3 - 3 - x). Put 1, u, z, -4 in descending order.\nAnswer: u, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -52*y - 72. Let j(t) = -21*t - 29. Let c(m) = -5*g(m) + 12*j(m). Let a(k) = k - 1. Let z(v) = -4*a(v) + c(v). What is the units digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t + 33*t**3 + 14*t + (-t**2 - t**2 - 4*t**2)*(-t + 0 + 0 + (3 + 2 - 7)*(-3*t + 0*t + 2*t) + 0 + t + 0) + (4 - 2*t**2 - 4)*(-1 + 1 - 2*t).\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -6*15\/(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 20*w**2 - 5*w + 49. Give u(-20).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:56 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 8*q**2 + 7*q + 13. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z - 4. Let a(p) = 4*p**2 + 11*p - 20. Calculate -2*a(t) + 11*d(t).\nAnswer: 3*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*r - 29 = r, -4*d + 108 = 2*r. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21056 (base 8) to base 2\nAnswer: -10001000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 16) to base 14.\nAnswer: -1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/68*7\/(-21)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 163*d**4 - 2*d**3 - d + 32. Let y(s) = -2*s**3 + 2*s - 1. Let g(q) = -x(q) + y(q). Find the second derivative of g(h) wrt h.\nAnswer: -1956*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9.1072 or 1652?\nAnswer: 1652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212380 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -35, -70, -123, -200?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/24 - g**3\/3 + 2*g**2. Let o be t(-4). What is the greatest common factor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*u**2 - 875*u + 10780.\nAnswer: -5*(u + 28)*(9*u - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -21, -10\/23, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 34*h - 90 = -292, -4*w - 4*h + 52 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1368 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32011 and 0.1179472.\nAnswer: -32010.8820528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66156, -139445, -212734, -286023?\n\"Answer: -73289*c + 7133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 - -4280228541690?\nAnswer: 4280228541696.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phkpvvookzoz. What is prob of sequence vzp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 22 = -v - 3*y, -16 = -v + 5*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6708)\/(-468) - (-8)\/(-6) - (39 + -11)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303520552 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 - 11. Let d be k(0). Let r = 63 - 40. Let w = r - d. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 10. Let b be c(-6). Suppose -5*x + b = -x - 5*i, -i + 2 = 0. What is the derivative of 6*p**4 + 8 - x + 1 wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 12*m - 16*m - 449, 0 = 2*z + 5*m - 284. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 1, h: 1, q: 6, d: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1626*r + 214*r + 3*r**4 + 1947*r**2 + 1953*r**3 - 757*r - 1950 + 216*r.\nAnswer: 3*(r - 1)*(r + 1)**2*(r + 650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 14*a**2 + 893*a - 114868\/3.\nAnswer: -(a - 47)**2*(a + 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*z**3\/3 + 27295912*z**2\/3 - 31195520*z\/3 + 2971008 = 0. What is z?\nAnswer: -139266, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m + 520. Let x be k(57). Solve x*t = 9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*w + 30, -2*k = -3*w - 6 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -24*f + 14. Let i(z) = -25*z + 39. Let h(k) = 180*k - 280. Let w(q) = 6*h(q) + 43*i(q). What is -2*p(j) - 11*w(j)?\nAnswer: -7*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -426 divided by -5\nAnswer: 426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.02 + 4. Let m = c - 2.98. Let s = -41 - -45. What is the second biggest value in -4, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 w when four letters picked without replacement from wzwwzwz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 + 242542*h**2 - 4902137632*h - 3268199552 = 0. What is h?\nAnswer: -2\/3, 40424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 47. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1290594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867311?\nAnswer: 727, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12228099 and 61147.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16.59 (b) 25 (c) 10 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*b - 1 = 2*b, 5*b = 4*x + 9. Suppose 1909 = 3*d + g, 19*d + x*g + 3210 = 24*d. List the prime factors of d.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1\/1))\/((-12)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 2*q**3 - 30*q - 2*q**4 + 1 - 8*q**2 - 1 as m*q + b*q**3 + j + i*q**4 + p*q**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 + -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374227 to the power of 1\/2, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 10 - r**2 - 14 - 47 as f + n*r**2 + h*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18065g in micrograms?\nAnswer: 2180650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2310552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l + 48 = 0. Calculate the greatest common factor of l and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -60*x + 75*x. Solve p + 16 = x*f, 4*f + 6 = 6*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 2797 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2533 - -2?\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - z = -19, -39 = 5*y + 2*z + 63. Let o be 2*((-59)\/10 - y\/50). Let v = o + 276. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1217588 and 1720?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 7, 1\/33, 15?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1)\/(4*-1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 36. Let s be (1 - 4 - f)*-28. What is the greatest common factor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 93.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = z + c + 10, -2*c = 10. Suppose 2*f - f - 4 = z. Sort 5, -5, f.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12150 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -311, -310, -319, -344, -391?\n\"Answer: -f**3 + f**2 + 5*f - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 124046, 255813, 387580, 519347, 651114, 782881?\n\"Answer: 131767*s - 7721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-7 - -3) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3103355, 3103302, 3103249?\n\"Answer: -53*g + 3103408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19680 + 433063\/22. Calculate the common denominator of -75\/8 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12*(-3)\/(-22))\/((-213)\/(-1562)). Let r(f) = 3 + f**3 - 13*f**2 - 5*f - 30 + 19*f. Let o be r(h). Which is smaller: -14\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236402 and 816?\nAnswer: 5673648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95, 92, 79, 50, -1, -80, -193?\n\"Answer: -v**3 + v**2 + v + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256806 is divided by 305.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 1326 + 182 - 1256. Calculate the lowest common multiple of 660 and p.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 2790 - 2*x**2 + 12*x + 2793 - x**3. Let t be p(6). Let h = -56 - t. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -117*o + 113*o, -2*o = -2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.67123 meters to micrometers.\nAnswer: 7671230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 6437?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - b. Let y be t(-1). Let z = 87 - 84. Suppose 5*a - 2*v - 35 = 0, -16 = -5*a - v + 4. Sort y, z, a in ascending order.\nAnswer: y, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*o + 30, -a - 3*o + 5*o = 6. Let d = a + 16. Which is greater: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -2, -33, -5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02488+-280138\nAnswer: -280137.97512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 89\/428769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1219 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/4 - 2\/(-8). Suppose p*h - 2*u = 4*h + 16, -4*u + 4 = -2*h. Let t(f) = f**2 + 5*f - 4. Let j be t(h). Solve -j*o + 4*g = 6, 3*o - 3*g = o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**3 - 44*c**2 - 71*c**3 + 2 - 95*c**2 + 139*c**2.\nAnswer: -101*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let w(a) = a**3 - 3*a**2 + 4*a - 3. Let t be w(c). What is the units digit of (-1)\/t*(-8 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.05583 and 0.\nAnswer: -3.05583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, p: 1}. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(42\/24))\/((24\/4)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111644783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575177 is divided by 278?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 3460\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-12))\/((-2)\/3). Let i(z) = z**2 + z**l + 0*z**2. Let t(j) be the second derivative of j**3\/6 - 4*j. Calculate i(t(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -3*s**5\/20 + 11*s**4\/24 + 8*s**3\/3 + 5220*s**2. Give y(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177808 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 4116.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v**2 + 6*v + 6. Let w(m) = -9*m**2 + 5*m + 5. Calculate -3*j(f) + 4*w(f).\nAnswer: -9*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 - 8*r - 8*r + 17*r - 127 in the form q + s*r and give q.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppbppbppbpbpppppp. Give prob of sequence pppb.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3455 - -3473. Solve 4*a + 6 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/42 + (-27559)\/112014\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.169 - -0.469. Which is the second smallest value? (a) v (b) -46\/3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912636, -1825259, -2737866, -3650445, -4562984, -5475471, -6387894, -7300241?\nAnswer: -8212500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9 + 6, -2*u + 52 = -2*j. Let y = j - -12. Let x = y + 135\/7. Sort 2\/5, x, 4 in decreasing order.\nAnswer: 4, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-6)\/15*(-275)\/(-66). Let o(i) = i - 3 + i**3 - 9*i**3 + 7*i**2 - 7*i. Let x(u) = -7*u**3 + 6*u**2 - 5*u - 3. What is k*o(w) - 6*x(w)?\nAnswer: 2*w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -226?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1746\/194*(-2)\/12)\/((-15)\/670).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -42*o**2 + 5*o + 3. Let u be l(-3). Let m = u + 425. Calculate the least common multiple of m and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-2\/5)*x*x**(4\/9)*(x**5)**11 assuming x is positive.\nAnswer: x**(2603\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 223272 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14665)\/(-8540) + (-1)\/(-16)*-28?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 193956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -341531891 and -341531890 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1276653\/550 + 25506\/11. Find the common denominator of i and 107\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54 + (0 + 0 - 3). Let b = -48 + c. Let h(w) = w**3 - 2*w**2 - w + 1. Calculate h(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148596011*x**4 - 19360409*x - 29?\nAnswer: -1783152132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 + 53 - (0 - 9)) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {w: 9, y: 3, p: 1, o: 2, j: 2}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 1. Let k(x) = -43*x + 29. Let n(c) = 2*d(c) - k(c). Let s(j) = 42*j - 31. Let q(p) = 3*n(p) - 2*s(p). Is q(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**(-5))**46 assuming u is positive.\nAnswer: u**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 17*p - 3480. Calculate the greatest common factor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 480540.\nAnswer: -4\/120135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 + 1. Let k be i(-4). Let s = 2 + -1.8. Which is the third smallest value? (a) 2\/7 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2188, -18408, -62432, -148162, -289500?\n\"Answer: -2317*w**3 - w + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10737 - 10736.999998866. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173 and 5879578?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 279529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 210?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 287849 - 71439. List the prime factors of b.\nAnswer: 2, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4347 and 132021495?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-14) - 23\/(-2). Calculate the remainder when 13\/(1\/4*2) is divided by 1\/(-1 - 0) + s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -316, 57, 1078, 2963?\nAnswer: 5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 10. Suppose 2*z - 50 = 20. What is the remainder when z is divided by h(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {e: 2, f: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 6*s - 39 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 21*d**2 - 7*d + 334. What is o(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -218*n + 26. Let b(r) = -r + 2. What is -12*b(i) + y(i)?\nAnswer: -206*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -77*x**2 - 4*x + 3. Let r(z) = -309*z**2 - 17*z + 13. Let u(b) = -9*a(b) + 2*r(b). Let y be u(1). Let p = -27 + y. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685705084*p**2 + 685705082*p**2 - 1371410173*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(2*i - 2*i + i)*(-155*i**4 - 602*i**4 + 171*i**4).\nAnswer: -586*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 0 - 14*n + 0*n + 6*n + 4*n + 3. Let d(b) = -1. Let f(c) = -6*c + 7. Let m(s) = 2*d(s) + f(s). Let l be (-37)\/(-7) - (-2)\/(-7). Give l*m(w) - 8*t(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2746 - 2728 = 9*o. Let n(h) = -h - 3. Let a be n(-6). Sort -9, -5, o, a in ascending order.\nAnswer: -9, -5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640134 is divided by 569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 12. Let a be 24\/16 - (-35)\/t. Is a at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = 0, 2*s - 31 = -3*s - 4*a. Let r be 2\/(-3) + s\/9. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*x + 42, 0 = -4*x - 4*q - 0*q + 56. Which is bigger: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 0, -0.4, -2\/7, 5, 198, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -196, -300, -416, -550, -708?\n\"Answer: -p**3 + 3*p**2 - 100*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 8 + 7 + 3 - 3*d - 1 - d**2 - 68*d**3 to k*d**2 + y + a*d + u*d**3 and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 16. Is (1\/(-5))\/(l\/16885) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11555*2\nAnswer: 23110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*-3 + 5. Suppose 5*k - 3*v + 8*v = 40, 0 = 3*v + n. Suppose 0 = -q - k + 70. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562938261?\nAnswer: 59, 241, 109919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(84)\/(sqrt(21)\/sqrt(3))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4413272 - 4?\nAnswer: -4413276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223512180, 447024362, 670536554, 894048762, 1117560992, 1341073250?\nAnswer: 1564585542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, q: 4, x: 6}. What is prob of sequence qx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/30 + 5*v**4\/12 + 160*v**3\/3 - v**2 + 96*v. Let p(q) be the first derivative of n(q). What is p(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8785579 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, 1 h, and 1 c when four letters picked without replacement from {m: 5, u: 2, w: 1, h: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 12 = 34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572, 682, 792, 902, 1012?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1210864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**8\/1008 + 13*f**7\/315 - 7*f**6\/15 - 13*f**5\/90 + 169*f**4\/72 - 46*f**2 - 6. Determine z, given that k(z) = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 3*i**5 + 2*i**3 + (0*i**2 - 3*i**2 + 2*i**2)*(i**3 - 2*i**3 - i**3).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263\/165 - -19\/11. Let d be 16\/(-66)*12\/(-16). Which is the smallest value? (a) d (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Suppose 3 + 1 = -4*c, d = -4*q + 3*c + 51. Suppose 2*z - 15 = 17. Calculate the least common multiple of q and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*j + 3 + 2*j**2 + j - 21 + 4 = 0. Calculate j.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 5*t**3 - t**3)*(-10*t - t + 7*t)*(1 - 1 - 1).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246670*n + 246606*n = 4608 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/24*(-4)\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 14 = -35*y + 29*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.113 - -23.887. Put 4, y, 5 in increasing order.\nAnswer: 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 - -186. Let o be (-5)\/m*(-4 - (-26)\/5). Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49*16\/56)\/((-8)\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -71359 + 2*t + 71359. Let z(m) = -98*m + 31. Let o(y) = 6*u(y) - z(y). What is the derivative of o(p) wrt p?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(189))\/(sqrt(448) - (sqrt(448) - (sqrt(448) + -1*sqrt(448)) - sqrt(448))).\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -3650.125.\nAnswer: 146.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 402 = -4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from wkwkkwk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:59 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 1028, 1041, 1070, 1121, 1200?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 57. Let w(r) = r + 2. Suppose -18 = -2*y - 28. Let p(j) = y*w(j) + a(j). Let g(q) = 2*q**2 - 6*q**2 + 3*q**2. Determine g(p(n)).\nAnswer: -n**2 + 94*n - 2209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/7257 and -79\/1416.\nAnswer: 58056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3216 and 1737712?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -29. Let h(v) = 41249*v**2 + 8*v - 1. Let n be h(s). Let l be (-1)\/(-4) - n\/(-4). What is l rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18.81. Let i = 15.19 - t. Let j = -15.00009 + i. Round j to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 11*q + q)*(-2 + 1 + 0) to the form d*q + c and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11760 divided by 8783?\nAnswer: 11760\/8783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiizpiiipiiiziiip. Give prob of picking 1 i and 2 p.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 27*d + 1. Let t be x(2). Let h be 3\/2*(-20)\/(-6). Suppose -h*o = -89 - 21. What is the highest common factor of o and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 141, 326, 585, 918, 1325?\n\"Answer: 37*b**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(2 + 2 - 5 - 2*y) + 8 + 39 - 10 + y.\nAnswer: 7*y + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most as big as 0.2438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 604 = 30*z - 32*z, z = 5*y - 1480. What is the greatest common factor of y and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*((-111)\/12 + 3).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -136\/4245, 1, -0.3, -1\/2?\nAnswer: -136\/4245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 88813 - 89028 = 0 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(49) - sqrt(49))*-6)\/((sqrt(70)\/sqrt(160) - sqrt(7)) + sqrt(7) - sqrt(7)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122408249?\nAnswer: 122408249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3288460680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031\/124 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12 - (-77938)\/(-3516)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - o + 10*o + (4*o - 2*o - 4*o)*(-4 - 2 + 0 + (-2 + 2 + 1)*(1 - 2 + 3) - 5 - 2 + 3).\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*m - 124 = 0, 29*m - 18*m - 11 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/((-79)\/(3081\/819) - -24)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -122. Let r = 1 - 1. Let a = 0.2 - r. Sort -4, g, a in descending order.\nAnswer: g, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002*14.8\nAnswer: 14829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 = -5*c - 16, 0 = -c + 2*u - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 2*x + 2. Let r be m(-2). Let k(w) = -w**3 + 6*w. Let f(j) = 2*j**3 - 13*j. Let u = 33 + -20. What is r*f(y) + u*k(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -95. Calculate the remainder when 63 is divided by 340\/10 - 1\/(-3)*d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 923*x + 93673. What is q(92)?\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117984 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-27)\/(-2). Let v = x - -10. What is the nearest to 0.1 in v, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491*p = -1128*p - 431 - 1021 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*f - 2*w + 344, 143 = 2*f - w. Calculate the greatest common divisor of 28 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -68dc46?\nAnswer: 68dc49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlia when four letters picked without replacement from hiaihhhttllc?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13582, -13800, -14168, -14692, -15378, -16232, -17260?\n\"Answer: -g**3 - 69*g**2 - 4*g - 13508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -164\/3 bigger than -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 990065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (1 - 16\/2). Suppose 0 = 3*q + w*n - 5, -3*q - 3*n = -2*n + 11. Let a(f) = f**2 + f + 1. Let r be a(1). Sort 0, r, q in decreasing order.\nAnswer: r, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 8398*m - 4 + 5089*m.\nAnswer: 13487*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 10:08 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2298 + -2315. Sort -21, x, -2.\nAnswer: -21, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1668*c + 274 + 267 + 2462*c - 541.\nAnswer: 794*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-91) - -6*(-13)\/(24752\/(-425)).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14032, -27824, -41616, -55408, -69200, -82992?\nAnswer: -96784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 67 + 23 = 0. Let b be 13\/x + 4\/22. Let i(g) = -9*g**3 - 2*g**2 + 1. Let s be i(b). Solve s*w + 10 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j. Let c(h) = -20839231*h**2. Calculate s(c(m)).\nAnswer: -62517693*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + g + 24*g - 18*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/4 - 10*o. Let h(s) = 11*s**2. What is h(l(a))?\nAnswer: 99*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let k(n) = 3*n - 2. Let p(o) = 4*o - 3. Let i(z) = -3*k(z) + 2*p(z). What is g(i(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/45 - 113*k**4\/9 + 25538*k**3\/9 + 3*k**2 + 16. Factor s(i).\nAnswer: 4*(i - 113)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 21874 - 21643 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73685646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-5)\/((-40)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/21 (b) 4 (c) -3\/5 (d) -8 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 1160 + 1114 + 1156 to o + w*g**3 + n*g**2 + y*g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3488491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18174 - -44911. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4 - 11, -r + 2*i = 13. Let j be 2\/6*0\/r. Suppose j = q - 2*u - u - 3, 5*q - 5*u - 5 = 0. Solve 5*m = -q*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2079868 = -308*v + 8642732. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3500 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306626*k**4 + 7*k**3 + 477883*k**2 + 32.\nAnswer: -7359024*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 6) to base 7.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 175 = -5*j. Solve 0 = -2*b + 4*c + c - j, 5 = 2*b + 3*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000008217 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.1 and -0.67049?\nAnswer: 2.77049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4 - 1 = -2*o, 0 = -3*v + 4*o - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(33)\/sqrt(3)) + 3*-1*sqrt(7).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v = -108*v - 32 - 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 3340498*r**3 + 1859820034500*r**2 - 345150361520375000*r - 345152221343750000.\nAnswer: 2*(r - 556750)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 6*a - l - 393, -3*a + 2*l - 607 = 0. What is a rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 525*g - 99*g + 0)*(1 + 0 - 2)*(-6*g**3 + 4*g**3 + g**3).\nAnswer: 426*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-336) - (-49)\/16. Let h(c) = c**2 + 5*c - 14. Let p be 3\/9 + 66\/(-9). Let r be h(p). Solve r = 3*o + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, q: 7}. Give prob of sequence qhq.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*3\/(-120) - 10\/(-40). Find d, given that -2\/5 + p*d**3 + 3\/5*d**2 - 1\/5*d - 1\/5*d**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 - -365. Let t = y + -410. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -188548 at most -188762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31000576, -31000575, -31000572, -31000567, -31000560, -31000551, -31000540?\n\"Answer: f**2 - 2*f - 31000575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168039 divided by 10.\nAnswer: -168039\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 24. Let m be p(14). Suppose -4*z + 3*y + 86 = 0, -z = 4*z + m*y - 123. What is the remainder when 67 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2601 (base 9) to base 5.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1626.12 days?\nAnswer: 2341612.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/6*56\/6*1. Let s be (-4)\/a - 344\/(-224). What is the closest to -2\/7 in -3, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 + 5*j + 2. Suppose 0 = b - 2*l - 2, 4 = -5*b - 5*l - 1. Let n be 1 + b - (-148)\/(-37). Let t(z) = z**3 + z. What is n*t(w) + d(w)?\nAnswer: 2*w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 12. Let o be s(-10). Let l be (3 - 0) + (-5)\/((-75)\/4848). Let c = l + -328. Which is bigger: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -1186654.2.\nAnswer: 59332.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2556267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2197, -2203, -2213, -2227?\n\"Answer: -2*o**2 - 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3111829759?\nAnswer: 37, 257, 327251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**7\/42 + x**6\/10 - 3*x**5\/20 + x**4\/12 + 3*x. Suppose f(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -62 + -301 + 278?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*j = 7851*j - 817790 for j.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 653*a**2 + 17*a - 18. Let h be v(1). Let n = h + -648. Solve r = 4*s - s - 18, 0 = s - n*r - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2670)\/(-8)*(-2)\/(-12). Let w = 383\/8 - q. What is the common denominator of w and (-4)\/(400\/(-35))*-6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1042416*v**5 - 2691932*v**2 wrt v?\nAnswer: -62544960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52893322, -52893340, -52893358, -52893376?\nAnswer: -52893394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/4 and (-425)\/(-230)*(-4)\/(-20).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -5*n - 14*n**2 + 7 + 0*n + 6*n + 1. Is y(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/5 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37982495 divided by 5.\nAnswer: 7596499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 2*w - 56. Suppose -6*h + 31 = -w. Suppose 0 = -5*d + 4*t + h, -7 - 10 = -5*d - t. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2390664975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, u: 2, k: 4, l: 3}. Give prob of sequence ix.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 f, and 1 k when four letters picked without replacement from {f: 7, i: 1, n: 5, k: 2, c: 3}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**7\/21 + t**6\/15 - 3*t**5\/10 - 5*t**4\/6 - 2*t**3\/3 + 52*t + 2. Factor c(z).\nAnswer: 2*z*(z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 7*o. Let k be f(-6). Suppose 9*j - 39 = k*j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 27*p = 184. Calculate the greatest common factor of 46 and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 - (-603)\/162?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008.1203 seconds in minutes?\nAnswer: 16.802005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*h + 99566 = 0, -b + 16936 = 2*h - 7975. What are the prime factors of b?\nAnswer: 7, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11*f + 28 = 0. Find the first derivative of -29*v**2 - 44*v**2 + 20*v**2 - 42*v**f - 39*v**2 - 85 wrt v.\nAnswer: -268*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*m**2 - 2601 - 51*m.\nAnswer: -(m + 102)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57200864 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 51\/34*3010\/129\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 29. Suppose -w - 1 = 3, -8 = x + 4*w. Factor -3*c + 1 - f*c**2 + 4*c**3 - c**3 - 2*c**4 + 2 + x*c**4.\nAnswer: 3*(c - 1)*(c + 1)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (16 + -17 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6887 and 48351.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/3 + 9. Let f(t) = 3*t**2. Determine m(f(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32139, -38346, -44553, -50760?\n\"Answer: -6207*p - 25932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051386 divided by 150198?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 8. What is z(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27437163001.754 and 0.4.\nAnswer: -27437163001.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.5, -9, -2\/47?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129303 is divided by 4444?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 851775, 1702974, 2554173, 3405372, 4256571?\nAnswer: 5107770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:51 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11387 or 11374?\nAnswer: 11374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/9 + 19336*u\/9 + 46735112\/9 = 0. What is u?\nAnswer: -4834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5628357 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.0042 centimeters to kilometers.\nAnswer: 0.009310042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330494304.\nAnswer: 2, 3, 7, 151, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 585, 0, -2, 10 in ascending order.\nAnswer: -3, -2, 0, 10, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 553*g. Let z(r) = -3*r**2. Calculate z(q(y)).\nAnswer: -917427*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18587 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*-8*(-9)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1595\/116 - 2\/(8\/(-1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*-1*21. Let p(s) = 4*s + 2. Let c be p(10). Suppose 0 = 5*b + 5*q - 120, b + 3*q + d = c. Is b less than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**2 + 7 - 7. Let k(a) = -2*a. Determine k(j(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2 - 2 + 4*m + 2. Let o = 0 + -4. Let r be (10\/o)\/(4\/(-8)). Let a(v) = -9*v + 5. Give r*g(x) + 2*a(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Suppose -s*f = -7 + 3. Solve q + 4*q = -f*p + 20, -5*p + 4 = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*g + 208, -9*r = -3*g - 4*r + 280. What is the least common multiple of 500 and g?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x - 10. Let u(l) = l**3 - 5*l**2 - 2*l - 3. Let c be u(6). Suppose c + 0 = 3*j. Calculate the remainder when d(j) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*(8 - -10). Find the second derivative of -13*u**5 + m*u - 2*u + 6 - 6 wrt u.\nAnswer: -260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 16*w**2 - 25*w + 59. Give r(18).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 4 + 8 - 6*q - 7 + 10*q as c*q**2 + l + h*q + y*q**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5 - -6) + -6 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3353 - 430?\nAnswer: 2a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -22*c - 2. Let n(i) = 66*i**2 - 214. Calculate n(j(d)).\nAnswer: 31944*d**2 + 5808*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/7)\/(y*y**(1\/35))*((y**36\/y)\/y)\/y**(-1\/6) assuming y is positive.\nAnswer: y**(977\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 86.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(1\/(-3)). Suppose 2 = -o - i*o + h, 0 = -4*o - 2*h + 14. Let y(z) be the second derivative of -4*z**3\/3 + z**2\/2 + 23*z. Give y(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.4 + 1.2. Let q = -3 - p. Suppose 0 = -4*w + 12, -6*z = -7*z - 2*w - 9. Which is the closest to z? (a) q (b) 1\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 - b - 175. Let w(r) = 18*r**2 - 3*r - 527. Let a(n) = -17*s(n) + 6*w(n). Differentiate a(l) wrt l.\nAnswer: 12*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:44 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k**3 - 8876*k**2 + 8*k + 5070. What is f(-634)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29 (b) -56 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1003*-0.22.\nAnswer: 220.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 - 160*i**2 + 40*i**2 to h + l*i**2 + s*i and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -253, -275, -297, -319?\n\"Answer: -22*j - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (429\/26 + -11)*-10*10\/25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/32)\/((-1)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 18 = -48. Suppose 2*c = -c + x. Suppose 0 = -k + c + 1. Solve -4*s = -15 + k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - 3*a - 7. Suppose t = -29 + 24. What is j(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 63*l + 724. Determine m(57).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*14.6\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 4*t - 168 = 4*s, 0 = 5*s + 2*t - 412. Suppose -340 = s*l - 86*l. Calculate the greatest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -26*r**5\/7 - 1251020*r**4\/7 - 15046161688*r**3\/7 + 57884125424*r**2\/7 - 50942526720*r\/7 - 9262137600\/7 = 0?\nAnswer: -24060, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-95*r**3 + 3*r - 464*r**2 - 65*r**3 + 454*r**2 + 12*r)*(4*r - 2*r - r) in the form j*r + n*r**2 + k*r**3 + b*r**4 + a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/3 - 2*u**3\/3 + 9*u. Factor g(r).\nAnswer: -4*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80135, 160272, 240409, 320546, 400683?\nAnswer: 480820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1, g + 3*g = -2*y + 164. Suppose y + 8 = 4*w. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/((sqrt(50) - sqrt(50)*-4 - sqrt(50))\/sqrt(5)))\/((2*sqrt(96) + sqrt(96) - sqrt(96))*2 - sqrt(96)))**2.\nAnswer: 5\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 - 4*c**2 - 12*c - 192. Determine q(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -22. Let v = -40 + l. Solve -v*d - 4 = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211410*-8\nAnswer: 1691280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -10 (b) -6\/11 (c) -73.1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1375*r - 20373. Give h(-15).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 23. Let h be n(-8). Let y(i) = i - 1. Let f be y(-7). Let q = 13 + f. Solve 2*x = w + 11, 2*x = q*w + h + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + g + 193, 39*g = -5*o + 41*g + 482. What is the highest common factor of o and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuugbuuuuuuumuu. What is prob of picking 1 b and 1 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 7*m**2 + 10*m - 18. Suppose 4*z - 21 = 11. Let p be h(z). Is p + (-1532)\/(-6)*9\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 14943?\nAnswer: 14943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*l + 14. Suppose 2*f + l = 5*f - 5*h, 2*f - 2 = 2*h. What is the smallest common multiple of -12*2\/((f - 0)*1) and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 12*k**2 + 41*k + 65. Let i be l(15). Sort -191, i, -3 in increasing order.\nAnswer: -191, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470593136 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -18 - 0. Let g(d) = 2*d + m*d - 17*d + 8*d + d**2 - 7. Let q(i) = -i**2 - 2*i + 3. Let z be q(-4). Determine g(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/35 - 24\/(-14). Let a(d) = 2*d**2 + d - 4. Let c(g) = 4*g**2 + 3*g - 9. Let w be 0 + 2 + 7*-1. Let b(h) = w*a(h) + y*c(h). What is b(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.97 times -4\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12260.241 months in years?\nAnswer: 1021.68675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 6*y - 3. Let o be x(2). Suppose -14 = -o*u - 4. Solve -u*d - 4 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 3, t: 4, l: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.207899 millilitres in litres?\nAnswer: 0.002207899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 77*w**2 - 148*w + 148. Determine z(-75).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17693 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-182)\/(-585))\/((2\/(-5))\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p. Let z(n) = -2*n - 1. Calculate 4*f(a) + z(a).\nAnswer: -4*a**2 - 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b*b**(-1\/8))*b)\/b*b)\/b**(5\/2))\/(((b\/(b\/(b**(-8)*b)))\/b)\/((b*(b*(b*b**(-7))\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 867 + 18?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 5*d, -n = 4*d + 16 - 1. Let h = d - 3. Let c(a) = a**3 + 9*a**2 + 9*a - 6. What are the prime factors of c(h)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916 + -13?\nAnswer: 3903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-28)\/168)\/((-10)\/1)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tdtttttttttt?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 693.88 - 694.38. Let v = 5 + -16. Let s = v + 6. Which is the closest to 0? (a) -7 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3 + (0 + -4 - -8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*y - 43, y + 15 = -3*f + 52. Calculate the remainder when 76 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u - 22*u + 9*u.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35596868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37 + 8 + 20*x + 8*x - 3*x wrt x.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 21 = -867. What is the remainder when x is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 24*f**2 + 22*f + 882. Calculate b(-19).\nAnswer: -1341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177444 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, p: 3}. What is prob of sequence puup?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*m + 2388, 5*u - 637 = -3*m + 3343. Suppose u - 256 = 15*a. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01224041191 to four decimal places.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 207804*p + 165. Let k be o(9). Is k\/234 + 2\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.540954 milligrams in grams?\nAnswer: 0.009540954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 + -0.246. Let j = r + 0.018. What is the fourth biggest value in -1, 0.2, 5, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23924, -23959, -23994, -24029?\nAnswer: -24064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 444636895 and 1432?\nAnswer: 3557095160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-1)\/3*82. Let g be o\/10 + (-10)\/25. Suppose g = -5*p + 281. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 172. Let h(r) = 3*r - 9. Let y be h(5). Calculate the greatest common divisor of l and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1297029787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -2*b**2 - 1\/3*b**3 + 1\/24*b**4 + 0*b + 0. Let q(c) = 2*c - 4. Let w(h) = 3*q(h) - 5*s(h). Calculate w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 4*n**3 + 7*n**3)*(3*n + 0*n + n) + (6 - 2 - 3)*(-2*n**4 + 0*n**4 + 0*n**4).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:56 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -26 (b) 3 (c) -30 (d) 0.1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 5*c. Let i(m) = -m**2 - 4*m. Let s(q) = -5*i(q) - 4*n(q). Let y(j) be the first derivative of 2*j**3\/3 - 4. Give s(y(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 10*l**2 - 16 - 28)*(3*l + 9*l + 8*l).\nAnswer: 200*l**3 - 460*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z**2 - 11. Let o(n) = n**2 - 1. Let x(u) = 2*o(u) - t(u). Differentiate x(v) wrt v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -39. Suppose -h + 2 = -1. What is the least common multiple of h and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + 0 - (-515 - -481).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -43*m - 40*m - 54 + 65*m. Is 30 a factor of v(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 = -2*m, 5*v = -2*m + 6*v - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*u - 2. Let s(c) = c**3 - 3*c**2 - 4*c + 5. Let o be s(u). Let v(w) = -2847*w + 4 - 4 + 1425*w + 1425*w. Determine v(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (2417 - -12 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542193 at least 8542193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 5*p + 5*p + 7. Let m be w(-2). Which is smaller: m or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056 is divided by 294?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 15 + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 1.5. Let g = 2.04 - -38.96. Let l = g - 41.4. What is the nearest to t in l, 1\/5, 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 24*l**2 + 47*l + 39. What is k(22)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1015, 4030, 9053, 16084?\n\"Answer: 1004*v**2 + 3*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*i**3 - 2*i**2 + 2*i**2 + 67*i**3 - 160*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 8:36 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 d when three letters picked without replacement from lmdvvvmelv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 15*h + 49. Let f be a(18). Suppose -3*b = 1 + 2. Put f, -10, b in decreasing order.\nAnswer: b, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 + 4*j**4\/7 + 6*j**3 - 40*j**2\/7 + 8*j\/7 = 0. What is j?\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1) + (-8 - -9). Suppose 0*h = -4*h + 5*m - 21, -h = 2*m + 2. Put h, q, -3, -20 in decreasing order.\nAnswer: q, -3, h, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 384, 3\/2, -6\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**3 + 85*b**3 - 876*b**2 + 876*b**2.\nAnswer: 134*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 339.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8951*s. Let q be j(-1). Let b(g) = 703*g - 87. Let w be b(-7). Let d = w + q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 396 - 6333\/16. Let c = -1\/251 - 20311\/5020. What is the common denominator of g and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*p + 555, 3*f + 4*p = 6*f - 1650. Suppose -f = -9*h - 12*h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4305.5195 * 0.4\nAnswer: 1722.2078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.138963 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 6*u. Let s = 79\/135 + -5\/27. Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 9. Let b be (0 + y)\/(-1) + 5. Let z(s) = s**3 + 5*s**2 + 2*s - 6. Let r be z(-3). Solve -r = 2*d - 4*i, d - 3*i = b*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -2334420?\nAnswer: 2334333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47458, 47449, 47440?\n\"Answer: -9*u + 47467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796503.2 rounded to the nearest ten thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004407376946 to 7 dps.\nAnswer: 0.0004407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 3, 12 in descending order.\nAnswer: 12, 8, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*l - 257*l + 9 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-15)\/(4 + -1). Suppose -v + n + 15 = 0. Let r = -19 + v. Are r and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(-2 + (-3*sqrt(275) + -5)*4) + 2)*-5.\nAnswer: -2700*sqrt(11) - 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d**2 - 7*d - 1. Let j be 2\/4 - 10\/(-4). Suppose 6*i - 15 = j*i. Give z(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20200)\/262975 + (-278)\/21823?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**5 - 7*o**3 + 35036*o**2 - 9*o**5 - 35038*o**2 + 7*o wrt o.\nAnswer: -780*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a + 144. Determine o(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2873, 2865, 2829, 2747, 2601?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -781 - 35. Is q\/(-10)*(-5)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5 = 2*y, -249*y + 4*l = -253*y + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112233 - -3402103?\nAnswer: 3234320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5980740*j**5 - 19504033*j.\nAnswer: -119614800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, 31, 214, 569, 1132, 1939?\n\"Answer: 6*q**3 + 32*q**2 - 91*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233111 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345950*b**2*u**2 + 9*b*u**2 + b + 27312 wrt b.\nAnswer: -691900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*q = -12, -2*w - 3*w + 4*q + 60 = 0. Suppose -9*o = -w*o + 216. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 9\/5*i**2 + 1 - 5\/2*i**3 - 2*i - 9\/20*i**4. Factor u(t).\nAnswer: -3*(t + 3)*(9*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -209, -216, -219, -212, -189, -144, -71?\n\"Answer: o**3 - 4*o**2 - 2*o - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -26 - 9 + 8*l + 37. Determine b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from qqqdqqdotdtototoq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -277407 * 121\nAnswer: -33566247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/6)*j*j)**(-3\/25)\/(((j**7*j*j*j)\/j)\/j**(7\/3)))**(5\/6) assuming j is positive.\nAnswer: j**(-1021\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 842702.6 hours in nanoseconds?\nAnswer: 3033729360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -437043 (base 9) to base 5\nAnswer: -31323041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/3 (c) -1831 (d) 6 (e) -4 (f) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/14 or 1?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -0. Let n be 29 + -3 - (1\/(-1) + -1). Let t be (3\/2)\/(((-105)\/n)\/5). What is the biggest value in v, -3\/4, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 15*i + 130 = -20*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 4*v**4 - 4*v**4 - 5*v**2 + 5*v**2 - 2*v**5 + (2*v**3 - v**3 - 3*v**3)*(-v + v**2 + v) + 2*v**5 - 6*v**4 + 6*v**4 - 32*v**5 - 81*v**5 + 12*v**5.\nAnswer: -102*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97564.24 years?\nAnswer: 1170770.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -4*r + r. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 18*h**2 - 12*h + 72.\nAnswer: 3*(h - 6)*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t**(-2\/17)\/t*(t**(1\/3))**(1\/7))\/((t\/(t*t**(-2\/29)*t)*(t**(-7)*t)\/t)\/(t**(-8)\/((t\/t**(-7))\/t))) assuming t is positive.\nAnswer: t**(-53204\/10353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 1, -2.5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -o. Suppose -3*h = o*h. List the prime factors of 11 + (-1 - h) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 5*d**2 + 2*d - 7*d**2 + (3*d - d - 4*d)*(-2*d + 6*d - 3*d) - 2 + d**2 + 2 - 3*d**2 + 5*d**2 - 4*d**2)*(-1 + 1 + 3*d**2).\nAnswer: -15*d**4 + 21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*r**2\/9 - 56*r\/3.\nAnswer: -2*r*(11*r + 84)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9b (base 13) to base 16.\nAnswer: 86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1341)\/189 - 907400\/10920?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*p + 8725037 - 8726118 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**3\/27 - 16*f**2\/9 - 128*f\/9 + 60. Factor x(u).\nAnswer: -2*(u + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 3*z - 9. Let n be 9\/(-27)*(13 - 1). Let p be x(n). Let u = 20 + p. What is the highest common factor of 60 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10. Let m = -3.9 + 4. What is the closest to u in 3, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5\/4 + 4341*v**4\/4 - 37161*v**3 + 135645*v**2 - 131316*v = 0. Calculate v.\nAnswer: 0, 2, 31, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 708\/(-72) - -23\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 + 12*i**2 - 25*i + 13*i + 6. Let z = 7 + 1. What is the tens digit of j(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -4, -191?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(4*y + 2*y**4 - 4*y + (3*y**3 - y**2 + y**2)*(5 - 5 + y) + y**4 - y + y) in the form a*y**2 + z*y + x + k*y**3 + h*y**4 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374.539mg in tonnes?\nAnswer: 0.000005374539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 - 1 - -5 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (58\/(-3))\/((-4)\/7*(-63)\/(-23274)).\nAnswer: 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 163.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9866)\/(-4) - (-66)\/132.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 618*g**2 + 617*g**2 - 1236*g**2 + 13*g - g**3 in the form z*g**2 + c*g + o + n*g**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a factor of 6173264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfjjjjfj. Give prob of picking 2 f and 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)**42)**(4\/7)\/(((u\/u**(-6\/11)*u)\/((u**(-6)*u)\/u))\/(u\/u**(-2\/9)*u**(1\/6))) assuming u is positive.\nAnswer: u**(-4585\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**2 + 0 - 6*k - 6 - 3*k**2. Let c(m) = -3. Let q(l) = 10*l**2 + 7*l - 5. Let x(s) = 4*c(s) - q(s). Calculate -7*h(v) + 6*x(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*d = -8*d + 134, 0 = -2*t + d + 60. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, z: 3}. Give prob of picking 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*k - 220, -2*k + 0*k = 2*n + 114. Let p be (-2)\/7 - 184\/n. Sort p, 0, 2 in increasing order.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20777 + 13259*a + 30443*a - 20777 in the form b*a + m and give b.\nAnswer: 43702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -56. Let h = 44 + -28. Suppose 32 = 2*v - 3*a, -a = -2*v + 3*v - h. What is the remainder when s is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 56?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 1435 = -38*x + 1407. Solve x*s - 14 + 72 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let v(x) = 140*x. Give v(g(a)).\nAnswer: -280*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 648365740 to the power of 1\/2, to the nearest integer?\nAnswer: 25463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.971 and 114163.\nAnswer: -339178.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 420.4 + -398.4. Which is the nearest to -0.1? (a) -0.2 (b) s (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 184849027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-921818)\/220 - (-5 + (-46)\/(-10)). Let r = l + 4185. What is the common denominator of 29\/7 and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/436492 and 16\/245?\nAnswer: 2182460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214276*c*i**4 - 2*c*i**2 + 1583*c*i + 5*c - 9*i**5 - i**2 - i - 6 wrt i.\nAnswer: 5142624*c*i - 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1 + 7)\/(12\/56). Suppose -x = m - 32. Solve -28 = -m*q - 4*v, 4*q + 3*v = -q + 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 419125*j**6 - 84768*j**2 - 1?\nAnswer: 50295000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -129, -277, -471, -705, -973, -1269, -1587?\n\"Answer: z**3 - 32*z**2 - 7*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2615, 2078, 1525, 950, 347, -290, -967, -1690?\n\"Answer: -a**3 - 2*a**2 - 524*a + 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.4 + -80.4. Which is the nearest to o? (a) 0.2 (b) -0.5 (c) 7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a - 53*a**4 + 7*a + 10*a)*(a - 4*a + a).\nAnswer: 106*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/(-14) + (-6)\/(-21). Let n(y) = -y**3 + 16*y**2 - 17*y + 34. Let z be n(15). Calculate the greatest common divisor of r and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0 + (3 + 1 - 5)*(-1 - 1 + 0) + 4 + 0 - 2)*(-3 + 1 + 0)*(-76 + 46 + 41)*(h**3 + 2*h**3 + 0*h**3) as t + k*h + a*h**3 + i*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001120110 (base 3) in base 5?\nAnswer: 1131304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 take away 0.914321?\nAnswer: -218.914321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10192*h - 2295*h + 2 + 5323*h - 2 - 1 + h + 1 + (-2 + 1 - 1)*(3*h + 2*h - 2*h) in the form c + w*h and give w.\nAnswer: 13215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 17*q - 4972 = -17*q. Solve g - 14 = -4*h, -114*h = -q*h - 4*g - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 + 1756875*o - 7497\/2*o**2 - 877969\/2 = 0.\nAnswer: 1\/4, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195125865?\nAnswer: 3, 5, 11, 1182581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 bigger than -102223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05249 - -0.04751. Which is the closest to f? (a) -0.1 (b) -6 (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35.6 (b) 0 (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8657, -8710, -8763?\n\"Answer: -53*q - 8604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*-41.76.\nAnswer: 2881.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 2*k + 6. Let a(r) = -2*r**3 - 2*r + 5. Calculate -6*a(j) + 5*w(j).\nAnswer: 2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(u + 2*u - 2*u) + 2*u - 4*u + 6*u + 4*u + 0*u - 10*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.2 (b) -0.4 (c) -16\/11 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 5 = -7*p - 3*q, -5 = -5*q. Let z(h) be the first derivative of 3*h + 0*h**2 + 3\/4*h**p + 0*h**3 - 3. Find the first derivative of z(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4020 + -4023. Sort 144, v, 3, 4 in descending order.\nAnswer: 144, 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513748295 by -102749659.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Let w be -3 - 34\/(-6) - 3. What is the nearest to 1\/3 in w, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14170*b + 50467 - 50466 + 45469*b + (3*b - 5*b + 3*b)*(-6 + 4 + 4).\nAnswer: 31301*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 0.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 2, -13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*b + 311 = -389 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6474 - -2953?\nAnswer: -3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3516 and 26\/1465.\nAnswer: 17580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/((sqrt(6)*-1)\/sqrt(2)) + 3)**2 - (-4*(sqrt(95) + (2*sqrt(95) - sqrt(95))))\/(2*sqrt(125)).\nAnswer: -26*sqrt(19)\/5 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) - (-2*sqrt(304) + sqrt(304)))**2)*2 + 3 + (sqrt(304) - (sqrt(304) + -1 + 0)**2) + sqrt(304) + (5*(sqrt(304) + -1))**2 + -4.\nAnswer: -176*sqrt(19) + 4887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*c + 22 = 0, 2*c + 0 = -4*y + 4. Let l = -13019\/498 + 157\/6. Let p = 152\/581 + l. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 4 - 17 = 0. Suppose 0 = 2*k - k - 2. List the prime factors of (-156)\/v + 2\/(-4)*k.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408\/85*10\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259019943.\nAnswer: 3, 7, 13, 37, 25643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1107 and -1?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqqlapalaalpapqa. What is prob of sequence lqp?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0 - 3\/(-3)). Calculate the highest common factor of c and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241900 is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2829, -5662, -8565, -11574, -14725, -18054, -21597?\nAnswer: -25390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007568 rounded to seven decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*-10891\nAnswer: -54455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1256 - -1253. Sort -11, -2, 12, z, 0 in ascending order.\nAnswer: -11, z, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 1392, 2088, 2784, 3480?\nAnswer: 4176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 44.4?\nAnswer: 266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/((w\/(w*w**1))\/w*w)*w))**(-8\/3)*w**(-1\/3)\/(w**(1\/3)*w*w) assuming w is positive.\nAnswer: w**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.26 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20705 and 18243565.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2338.36 + -2281. What is r rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -100, -110, -122?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 753222497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71152 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9222 - -9227. Let b(o) be the third derivative of 0*o**3 + 0*o + 0 + 23*o**2 - 1\/72*o**4 - 1\/180*o**y. Determine v so that b(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)*(1 - 2). Let b be (-6)\/(t + 1) + 7. Factor i**4 + 0*i**5 + 2*i**5 + 3*i**5 - 4*i**b.\nAnswer: i**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 + 3*a + 5. Suppose 3*v = 10 + 5. Let o be r(v). Solve -4*y = -0*y + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 11. Let p be m(-5). Let x = p + 101. Suppose u - 5*u = q - x, -10 = -2*q. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*j**4 + j**3 - 358*j**2 wrt j.\nAnswer: 3744*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:26 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -27*i - 156. Calculate p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -22. Suppose -1 = -2*q + a, -q + 0*a - 5*a - i = 0. Let z(g) be the second derivative of -7*g**5\/20 - g**4\/6 + g**2\/2 + g. What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + -3 - -19 - (-12 + 19)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -13 - -11) + 14 + 0 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 n, and 1 o when four letters picked without replacement from wwnooooowwwoono.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78.31819 years?\nAnswer: 939.81828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44840 is divided by 1318?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 13. Let n(z) = 39*z - 270. Let q be n(7). Let d(m) = m + 4. Let o be d(q). What is u(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32e6a + 6?\nAnswer: 32e70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11719639 is divided by 5940?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -8164301?\nAnswer: -20\/8164301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -15*z - 8. Let a be (-6)\/81 + 25\/(-27). Let o be b(a). Solve 4*p - o = -3*h + 3, -5*h + 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131457 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 46104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 78*g - 43*g - 390*g**2 + 1 - 38*g to the form d*g + n*g**2 + y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 - 8*l**3 + 7 + l**2 + 6*l**3 + l**3. Let n be c(3). What is n rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42422 + 63?\nAnswer: 42505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z. Let s(j) be the third derivative of -j**8\/2520 - j**5\/6 + 4*j**3\/3 - 45*j**2. Let m(w) be the third derivative of s(w). Determine p(m(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:02 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.01, -0.42, -103 in descending order.\nAnswer: 4\/5, -0.01, -0.42, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 113, 269, 517, 875, 1361, 1993, 2789?\nAnswer: 3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1411078 by 5.\nAnswer: 1411078\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4235 divided by 35\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amma when four letters picked without replacement from mama.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x. Suppose a - 3 = -m, 3*m - 4*a = 2*m + 8. Suppose 0 = 2*u, -m*u = 6*i - i - 15. Let c(l) = i*l + 6*l - 6*l. Give j(c(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:06 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -80*j + 720. Let y be l(9). Solve 2*c - 359 + 351 = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 60689469.\nAnswer: 182068407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2. Let l(r) = -r**2 - 121. Determine v(l(j)).\nAnswer: 5*j**4 + 1210*j**2 + 73205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -0.3, -177, 4\/3, 4 in ascending order.\nAnswer: -177, -72, -0.3, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90479 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0545905 + 264.6215905. Let v = -264 + q. Round v to 2 dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 0.4 (c) -4\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 4\/5*c**5 + 0*c**3 + 5\/2*c**2 + 0*c + 0*c**4 - 6. What is the second derivative of a(f) wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -0.2 (b) 0.3 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:02 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let k be x(0). Let a(c) = 2*c**3 + 2*c**2 - 3*c**3 - c - k + 2*c**3. What is the units digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -2, 1, 2, -0.047 in decreasing order.\nAnswer: 2, 1, 1\/5, -0.047, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 288 + 69. Suppose 2*q - 2*s - h = 297, -2*q + 3*s = -651. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 502435143?\nAnswer: -502435152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 + 109 = -7*b + 4*q, -191 = -4*b - 3*q. Sort 0, b, -1, 6 in decreasing order.\nAnswer: b, 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {e: 1, z: 1, k: 2, h: 1, j: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3*t)**7\/((((t\/(t*t**(-13)))\/t*t)\/t)\/t**(-8\/7)) assuming t is positive.\nAnswer: t**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1 + sqrt(931))*-6 - sqrt(931))*6 + 0)**2 + (0 + -1*sqrt(931)*2*3)*6.\nAnswer: 18564*sqrt(19) + 1643308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - k + 16, -8 = -2*r + 4*r + 5*k. Sort -1, r, -22.\nAnswer: -22, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107*p - 576*p - 46*p + (-3*p + 2*p + 2*p)*(0 + 4 - 2).\nAnswer: -513*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from nrkiw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1398 + 1398.2. What is the nearest to -1 in s, 18, 1, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2))**19 assuming a is positive.\nAnswer: a**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019428 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x - 3. Let k be z(-2). Suppose -1 = 4*l + 4*j - k, 0 = -j + 4. What is the units digit of (6 + l\/3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvr when three letters picked without replacement from vcjxr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 135 = -3*m + 58, 115*q + 205 = m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1)*m)\/m**(-2\/11))\/((m\/(m**2*m))\/m**(2\/15)))\/((m**(-2\/3))**(2\/25)\/((m*(m**(-8)\/m)\/m*m)\/m*m*m*m**(1\/5))) assuming m is positive.\nAnswer: m**(-2831\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7841949\/221 + -35484. Let g = q - 19017\/3094. Find the common denominator of g and 37\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x - 1\/2*x**2 - 1\/2.\nAnswer: -(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22)*d)\/d**(-17)*((((d**(-13)*d)\/d)\/d)\/d)\/d**20 assuming d is positive.\nAnswer: d**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 2*z**3 + 2*z**3)*(-104 + 104 - 174*z)*(1 - z - 1).\nAnswer: 174*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -25*t + 1 - 18 + 17. Let f(c) = -c. Give f(b(g)).\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 + 232*q + 448 = 0.\nAnswer: -56, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8225.98 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 105*g - 862. Let s be b(9). Solve 2 = k + s*c, -c = -2 + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 817 (base 13) to base 8\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 2\/3, 10, 2\/5, 2\/57.\nAnswer: 2\/57, 0.06, 2\/5, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 1. Let t be z(-5). Let x be (t\/(-2))\/((-2)\/(-5)). Suppose 0*c - x*c + 20 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 6*j. Let i = -3 + -3. Let g(h) = -9*h**2 + 13*h. Let s(a) = 12*a**3 + a**2 - a + 1. Let b be s(1). Give b*x(t) + i*g(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 2. Let w(o) = 16*o - 18. Suppose -5*v + 42 - 9 = 4*m, -2 = -m. Let z(p) = 8*p - 9. Let d(s) = v*z(s) - 2*w(s). Give -9*b(q) - 2*d(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*v - v = -4728, 5*m = 2*v + 23725. Suppose 1285 + m = 11*a. List the prime factors of a.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 9) to base 13\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 104883346 + -4?\nAnswer: 104883342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*u**3 + 204*m*u**2*y**3 - 2*u**3*y + 18*u**2*y**2 + 3*y**3 wrt m?\nAnswer: 2*u**3 + 204*u**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15001.\nAnswer: 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1255, -4196, -9107, -15994, -24863, -35720, -48571?\n\"Answer: -c**3 - 979*c**2 + 3*c - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 9}. What is prob of sequence kd?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*a - 9 = 0, 3*w - 114844*a = -114846*a - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.92 - -1.92. Sort -0.1, w, 8 in decreasing order.\nAnswer: 8, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:46 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49660421 and 1.5908307.\nAnswer: -49660419.4091693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*h**4 + 252*h**3 - 228*h**2 + 52*h + 12.\nAnswer: -4*(h - 1)**3*(22*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - ((2 - 5) + -4)) + 549?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892\/8*2 + 1 - 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w = 3. Which is the third smallest value? (a) w (b) 6\/5 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1985715, -1985720, -1985725, -1985730, -1985735, -1985740?\n\"Answer: -5*h - 1985710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 108 = 12*y. Suppose -5*q + l = -77, 3*q + 3*l - l = 41. What is the remainder when y is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/126 and 61\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*i - 6384 = -46*i. What is the remainder when i is divided by 96?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 16303.\nAnswer: 97818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.99 + 13. Let s = -0.0086 + p. What is s rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0 + 2 - 1. Is 12 a factor of i*4\/(-6) - -14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1.2 (c) 535271\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.65231 days to milliseconds.\nAnswer: 1265959584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2241*a**4 - 4*a**2 - 26*a.\nAnswer: 53784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - 2. Let j(x) = -x - 9. Let n be 1 + -9 + (1 - 3). Let z be j(n). Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 45. Let a = -78 - l. Let c = 0.5 + -0.3. What is the nearest to a in c, -5, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 68, 121, 190, 275, 376?\n\"Answer: 8*t**2 + 13*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 + 1\/60*w**5 + 1\/12*w**4 - 3*w**2 + 0*w - 1\/3*w**3. What is the remainder when 9 is divided by i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2 + 12*j - 540 = 0.\nAnswer: -30, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 13*j - 10. Let x be n(6). Suppose x*h = 8730 - 1370. What is the greatest common factor of h and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*k + 57, 921*d - 925*d + 4*k = -6*k - 66 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/(l\/l**(-3\/7)))*l\/(l\/l**(-16))*l assuming l is positive.\nAnswer: l**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:19 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51557.5 and 0.2.\nAnswer: -51557.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:22 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11436053, 22872104, 34308151, 45744194?\nAnswer: 57180233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -21*i**2. Let n(f) = -4005*f. Give n(r(q)).\nAnswer: 84105*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -0.2. Let g = 587 - 304. Let r = -283 + g. What is the nearest to -5 in v, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 44464?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -w - 48. Let q(y) = -5*y**2 - 49*y - 41. Let j(v) = -3*v**2 - 33*v - 27. Let x(c) = 7*j(c) - 5*q(c). List the prime factors of x(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 558\/(-124)*(-1)\/((-1)\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -786 or -784?\nAnswer: -786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 401, 1445, 3485, 6851, 11873?\nAnswer: 18881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 a when four letters picked without replacement from {k: 12, a: 7}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576182 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119248*o + 119247*o = -f - 23, 2*f - o + 25 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 + 0 - (1 - -7 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.375345cm in kilometers?\nAnswer: 0.00006375345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3) + 3 - (-30)\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 607, 680, 751, 820, 887, 952, 1015?\n\"Answer: -a**2 + 76*a + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5312360 is divided by 47859.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f - 19. Calculate the lowest common multiple of 55 and c(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 488 + -217. Suppose 2*a = m + t, 0 = 4*a - 5*a + m + 134. Let p = 82 - a. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 983531835 and 47028?\nAnswer: 11757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296721 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2471794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 160361518 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-60)\/16)*(-3929880)\/160 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.23 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + 2\/2. Let s = 3 + -3.4. What is the second smallest value in 0.5, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10112222 (base 3) to base 11.\nAnswer: 1a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 0*t + 9264 - 18539 + 9275 - 7*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-2*-3)\/((sqrt(200) - sqrt(50))\/sqrt(5)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 41 + 41 - 64958*d.\nAnswer: -2*d**2 - 64958*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268146929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-36))\/(25\/1275)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*b**3 - 459*b?\nAnswer: 1110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihm when three letters picked without replacement from hmhhmmhmmmhoihiihi.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -843\nAnswer: 44\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*a = 163*a - 62*a + 2115 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*a - 6, 11*a - 4*n + 4 = 7*a. Sort 6, 2, -4, a.\nAnswer: a, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r. Suppose -23 + 4 = -3*l + i, 2*l + i = 11. Suppose 0 = -l*x - x. Determine v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148484512?\nAnswer: 2, 11, 421831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(12\/15)*3. Let x be 3\/15 - 147\/w. Let a = -28473 + 28473. Solve -x*l + 8*l - 10 = a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13979 = 13979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(4\/(-4)))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 228*i - 33. List the prime factors of h(2).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34, -26\/15667 in ascending order.\nAnswer: -34, -26\/15667, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 75, 42, -25, -138?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from qaqqcaqbtcbo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 484 - -1363. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 835, -15, 3881 in decreasing order.\nAnswer: 3881, 835, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000060296 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 699643 to the power of 1\/2, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7*k = -324, 0*m + 71*k + 126 = 3*m + 68*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.69 - 0.004.\nAnswer: 0.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**2 + 2 + 13*u**4 - 19*u**4 + 2*u**4 + 7*u**4 + 2*u**3 as z*u**4 + t*u**3 + g*u**2 + x + s*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 - 111*m + 774 = 0.\nAnswer: -43, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.01 (b) -11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-2) - (74 - 76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 1\/12*y**5 - 1\/90*y**6 - 1\/6*y**4 + 1 + y + 0*y**3 + 0*y**2. Factor i(x).\nAnswer: -x**2*(x - 3)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8187197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = -4*f, 0*h + 2*f - 22 = -4*h. Let i be h - -1*4\/2. Let p be (1\/(-1))\/1 - -7. What is the highest common divisor of p and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 40666 - 18454 = -25113. What are the prime factors of u?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1201464 and -169\/7920.\nAnswer: 12014640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hghh when four letters picked without replacement from {h: 7, g: 12}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/3 or 22983\/4?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 496939.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (2 + -1 + -2 + 7)) + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6514986, 26059901, 58634752, 104239533, 162874238, 234538861?\n\"Answer: -p**3 + 6514974*p**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g)**(-3\/5) assuming g is positive.\nAnswer: g**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105138 and 826.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -170e4 + -1?\nAnswer: -170e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5687096\/9 at least as big as -631901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 292. Let u be i(0). Suppose -5*a = 77 - u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Let z be 1\/(-3 + u)*-1. Differentiate z - 2*k**4 + 2 - 4 wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 60*i + 3 + 0 - 6 + (1 - 4 + 1)*(-i + 0*i - 3*i).\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1331 - 2*d**2 + 2923 - 7145 - 5977.\nAnswer: -2*d**2 - 8868","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -3 (c) 23\/13 (d) 1\/145 (e) -2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/115)\/((-25)\/(-3750))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 148?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.858002 + -62.85. Let j = -0.008 + l. Round j to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 24 = 11*o. What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1332743, 1332841, 1332939, 1333037, 1333135, 1333233?\n\"Answer: 98*u + 1332645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30948.69 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 271.9? (a) 0.4 (b) -48 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6033*a**3 - 3*a**2 + 3*a - 4. Let j(m) = 36196*m**3 - 17*m**2 + 17*m - 23. Determine 3*j(l) - 17*s(l).\nAnswer: 6027*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13111130142 - -1?\nAnswer: -13111130141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let j be (10\/(-3))\/((-2)\/3). Suppose j*m - 10 - 10 = 0. Let f(h) = m + 2*h**2 - 4. Give n(f(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5 - (-26)\/(-13).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 2*t + 94, -5*s + 118 = -2*t. Let q be s\/(-108) - 4\/(-18). Solve u + q = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - -59?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5347, 5069, 4777, 4465, 4127, 3757, 3349, 2897?\nAnswer: 2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 387200 = -0*c. Suppose 0 = -6*a - 5*a - c. Round a to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -39, -42, 116\/15 in decreasing order.\nAnswer: 116\/15, -3\/5, -39, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 17 - 4 - 6 - 7 - 415*n as l*n + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -960482 rounded to the nearest 10000?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(6 - 1 + 4) + (-1 - 3 + 6)*(2 + 2 - 2))*(68 + 30*h - 68).\nAnswer: -150*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242392 to the power of 1\/2, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 3. Let m(i) = -9*i + 2 - 16*i + 22*i. Let c(n) = n**3 - 18*n**2 - 8. Let g be c(18). Let w be (-10)\/(-1)*g\/(-10). Determine w*m(s) - 5*z(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = -20. Let z(f) be the first derivative of f**4\/4 - 4*f**3\/3 + f**2\/2 - 5*f - 11. Let v be z(o). Is v > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Suppose -a = l - 4. What is the least common multiple of 7 and l - -4 - (-3 - -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + -5 + sqrt(100)\/sqrt(2))*-6*-1.\nAnswer: -24 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24695935 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -9*u + 6*u + 3*n, u + 14 = 5*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -397188 bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, k: 7, v: 2, t: 4, f: 1, z: 1}. Give prob of sequence fz.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 4*p - 2*p)*(3*p - 5*p + 5*p) - 2331*p**2 + 776*p**2 + 862*p**2 as l*p**2 + a*p + q and give l.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/21*3 - 416\/(-819)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9843 and 714.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*1)\/(sqrt(32)*1).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 12*w - 73. Let t be p(-13). Calculate the common denominator of t\/40 - (-205)\/36 and -50\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24236 and 3652.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528107, 1056216, 1584325, 2112434?\nAnswer: 2640543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -19, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 7}. What is prob of picking 2 h and 1 a?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1454 and 103\/7902.\nAnswer: 5744754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5299.\nAnswer: 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52424 - 18820234\/359. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j**(1\/2))))\/(j*j**(-2)))\/(j**(-4\/13)*j**1*j) assuming j is positive.\nAnswer: j**(47\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/360 and 20\/50 + (-83)\/(-90).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 579.7266 decades?\nAnswer: 69567.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-24)*11*-2)\/(1\/1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 6. Suppose 2*d - 36 = -2*d. Let l(q) = -q**2 + 9*q + 5. Let k be l(d). Determine j(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38846162.\nAnswer: 2, 31, 433, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 2*y + 46. Calculate b(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1544689695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = -2*i. Which is greater: -1\/24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 45. Suppose -5*s + j + 10 = 0. What is the third smallest value in 0.1, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -67\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 192*y + 4. What is b(64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/7 - (-4)\/14. Let f(u) be the second derivative of -1075*u**3\/3 - u. Let r be f(a). Round r to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, -0.15, 2\/11, -1, 0.02 in descending order.\nAnswer: 7\/5, 2\/11, 0.02, -0.15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 84 = -4*t, p - 4*p + t + 47 = 0. Suppose p*v - 22*v = -25. Suppose 5*o - 11*o**2 + 17*o**4 - 25*o**4 + 7*o**4 - o + 9*o**3 - o**v = 0. What is o?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 2*p - 7*p. Let s be ((-3)\/9)\/((-1)\/((-6)\/(-1))). Let t(a) = -7*a + 13*a - 2*a - s*a. Give l(t(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.47 - 0.03. Let k = -16639 - -16638.9. What is the biggest value in 4, r, 3\/5, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + h + 10, 3*b - 3*h - 6 = 0. Suppose -2*g + 5*d - 2523 = -b*g, -2*d = g - 1259. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t - 1208 + 1382 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = q - 6*q. Let i be -1 + q\/(-2) + 2. Suppose -6*n + i = -2*n. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6670*t**6 + 14*t**2 + 40 wrt t.\nAnswer: -800400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272920 is divided by 12395?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - j = -8 + 30, -3*g + 72 = -j for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1899360 and 1899360?\nAnswer: 1899360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/30 + 5*h**5\/4 - 188*h**2. Find the third derivative of v(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5006992 is divided by 13643?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -28, -23, -6?\n\"Answer: 6*r**2 - 25*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j + 2*u + 5, j - 3*u = -9. Let c(b) = 5*b**2 - 6*b + 5. Let t(g) = -g**2. Let a(o) = c(o) + 4*t(o). Give a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-12))\/((-9)\/24). Solve -x + q = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002279838 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8418 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/816)\/(4\/6)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11306 divided by -2.\nAnswer: -5653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 + 40*z**3 - 41*z**2 = 0. What is z?\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/5 + 46*x**2\/5 + 4*x\/5 - 176 = 0. What is x?\nAnswer: -22, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65271 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u*u**1\/u))))\/u**(-1\/3))\/((u**(-3\/5)*u)\/(u**6*u))*(u**(-1\/8)*u**(4\/7))**(-4\/7) assuming u is positive.\nAnswer: u**(9817\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14632 is divided by 4747?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 2*d, k - 10 = -d - 2*k. Suppose -13 = d*q + 3. Let t = q - -12. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u\/(u\/u**(2\/3))))\/u)**7\/(u**(-1\/6)*u\/(u*u*u**4*u))*u**(2\/3)\/u*u*u*u*u**(3\/4)*u*(u\/(u*u**(-2)*u))\/u**(2\/3) assuming u is positive.\nAnswer: u**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -399*y - 654*y - 2094 - 17033 + 2279 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 1135?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.091806833 to 5 decimal places.\nAnswer: 0.09181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {r: 1, t: 6, b: 11}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 + -216. Let m(l) = -13*l**2 + 5*l - 4. Let a(i) = -6*i**2 + 2*i - 2. What is d*a(h) + 2*m(h)?\nAnswer: 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -51. Let a = 85 + o. Does 39 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 + 4*z**2 + 1. Let m(g) be the second derivative of -g**5\/4 - 7*g**4\/12 - g**2\/2 - 507*g. Give 4*m(q) + 7*w(q).\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 915384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 164*z = 21*z + 1312 + 368 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -6 + 4 + 1. Let i be k\/(-18) + 906\/(-36). What is the units digit of 7\/(20\/i + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1434, -1, 1, -2, -8 in ascending order.\nAnswer: -8, -2, -1, 1, 1434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -45822500 to the nearest 100000.\nAnswer: -45800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 987, 0.3 in increasing order.\nAnswer: -0.1, 0.3, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136521.519193 + 577?\nAnswer: 137098.519193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9955513 is divided by 1635.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000591903 to 7 dps.\nAnswer: 0.0000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/(-24) + (-3)\/4. Let c = p + 26. Let m = -20 + c. Solve 12 = -4*w - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 7 - (2 + -1 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 7:24 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 728679917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 2*t + 4. Let n be a(0). Suppose -4*u = -0*c + 3*c - 64189, 106972 = 5*c - 3*u. Is c\/20 - (1 - 1\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*u**4 + u**3 + 7*u**2 - 18891?\nAnswer: -76*u**3 + 3*u**2 + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 2*m**2 + 2*m - 3. Suppose -2*p = 2*r - 2, 4*r = 4*p + p + 31. Let k be f(r). Let d = 72 - k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38231 (base 11) in base 16?\nAnswer: d63f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 429. Let q(l) = -3*l**2. Give r(q(z)).\nAnswer: 18*z**4 - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17585 is divided by 5859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**5 - 2*k**5 + k**5 + 3*k**5 - 522*k**4 + 2*k + 522*k**4 - 21 + (0*k + 2*k - k)*(k**4 - 2*k**4 + 0*k**4).\nAnswer: 10*k**5 + 2*k - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 + -1\/20. Let u = 0.0851 + -0.7551. Let n = u + 0.97. Which is the second biggest value? (a) -20 (b) q (c) n (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Let t(a) = 4*a + 171. Give -6*p(k) - t(k).\nAnswer: 2*k - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -371031 and 0.\nAnswer: -371031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/28)\/(-1)*24\/10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202695425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 - -56640.227.\nAnswer: 56638.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {m: 5, e: 4, f: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 20 = -26*z - u, 0 = 3*z - u + 14. Let t be z\/(-24) - (2 - 11\/4). Are 19\/22 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let g be 1\/(-1) - (l - -4). Let v(p) = -p**3 - 4*p**2 + p - 6. What is the remainder when 26 is divided by v(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-66) + (-51)\/(-99)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s. Let j(z) = z**3 + 5*z**2 + 5*z - 2. Let b be j(-4). Let c be t(b). Calculate the highest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*f + 11. Is ((-2)\/(-6))\/(f\/(-330)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 17. What is the common denominator of 101\/22 and b\/2 + 201\/(-6) - -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9118832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**7\/1260 - z**6\/360 - z**4\/12 - z**2. Let l(h) be the second derivative of t(h). Find the second derivative of l(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5423 and 3990 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 23. Let f be j(-7). Suppose f*r - 99 = -3*a + 516, -3*a + 15 = 0. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/5362 and -13\/28.\nAnswer: 10724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11057842709185\/34143 - 323868515. Let u = -6\/599 + x. Which is smaller: u or 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/(6\/45). Suppose 2*a = j*a - 78. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*f - 38 = 2*y - 7*y - 307*f, -7*y = -f + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 - 2164*z\/3 + 1448.\nAnswer: -4*(z - 2)*(z + 543)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/555*(-10)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -80636.\nAnswer: 241908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21541 is divided by 5383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4 - 1504*u**3 + 976*u**2 + 106681728*u - 10062697248 = 0?\nAnswer: -514, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405926*j**3 - 5*j - 202907*j**3 - 203009*j**3.\nAnswer: 10*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10206*c + 244*c**3 - 947*c**3 - 1703*c**3 - 10206*c.\nAnswer: -2406*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3 - 3)*(5 - 2 - 1) - 756 + 550 - 74*z + 75*z.\nAnswer: 3*z - 206","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 4*z - 6*z**2 - z**2 + 8*z**2 to the form d + b*z**2 + u*z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9878 by -18.\nAnswer: 4939\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 667627000 rounded to the nearest one million?\nAnswer: 668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/13, -2\/15, -973, 2\/3, -2\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10*h + 15*h = 1601, -4 = -4*h. Calculate the greatest common factor of 76 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))**(2\/23)\/((t\/t**(-16))\/(t**(-18)*t)) assuming t is positive.\nAnswer: t**(-781\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**3 + 4*d**2 + 3*d + 3. Let z(q) = q**3 + q**2 + 1. What is s(i) - 4*z(i)?\nAnswer: 3*i**3 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 242*c**2 - 220*c - 5081. Determine n(241).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -7 = 3*b + 23. Let x = r - b. Calculate the remainder when 29 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/331846 and -77\/253178?\nAnswer: 151653622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/((t\/(t*t**21)*t)\/t)*t*t)\/((t\/t**(-18)*t)\/t*t))\/(t\/t**6*t**23))**(-2\/13) assuming t is positive.\nAnswer: t**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1757*g + 598*g + 594*g + 580*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 14*h**2 - 18*h + 17. Let o be v(13). Let s = o + 50. Find the second derivative of 2*x**2 + 6*x**s - 10*x + 6*x - 2*x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(3\/1 + -1). Suppose -2*c + 1 = -x, 3*c - c = 5*x - 11. Suppose 3*n - 42 = -c*b, b + 2*n = -q*n + 35. What is the remainder when 56 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -5*q**7\/21 + 2*q**3\/3 - 9*q. Find the second derivative of x(z) wrt z.\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2002 and 27\/138597173.\nAnswer: 1940360422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26865 or 26864?\nAnswer: 26864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260194140.\nAnswer: 2, 3, 5, 151, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = 5*q - 918, 726 = 4*q + j. Let k = q + 57. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 275\/660*(-2)\/(-5). Suppose 0*b + v*b**5 + 0 + 0*b**2 - 1\/3*b**4 + 1\/6*b**3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268872 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 4*j**2 - 5*j**2. Let o(k) be the first derivative of -k**3\/3 + 70. Give b(o(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 21.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(25\/35) + (-1 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w. Let i(t) = 5*t**2 + 5*t - 8264. Calculate f(i(x)).\nAnswer: -25*x**2 - 25*x + 41320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/(((r\/(r\/((((r*r*r**(2\/3)*r*r*r)\/r*r)\/r)\/r)))\/r)\/r*r*r))\/(r**0)**(-34) assuming r is positive.\nAnswer: r**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 877*g**2 + 2077 wrt g.\nAnswer: 1754*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -2\/9, -1, -7, -65?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.87 times -1074.7\nAnswer: -3084.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195 + 6 - 58*l**2 + 59*l**2.\nAnswer: l**2 - 1189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 3*z**8\/56 + 19*z**7\/35 + 23*z**6\/12 + 13*z**5\/10 - 10*z**4 - 100*z**3\/3 + 477*z**2. Solve d(u) = 0 for u.\nAnswer: -2, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -986 - -990. Let j(w) be the second derivative of 0*w**2 + 0 + 1\/6*w**r + 3\/2*w**3 - 2*w. What is the second derivative of j(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {p: 3, q: 8, d: 7}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*y + 2 + 848*y - 1695*y + 176*y**3 + 3*y**2.\nAnswer: 176*y**3 + 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4 - -1 - -4) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 13*o + 2*u, -3*o - 4*u = -0*o - 1639 + 1660 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40516538, -40516563, -40516602, -40516661, -40516746, -40516863?\nAnswer: -40517018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8313, -8326, -8353, -8394?\n\"Answer: -7*l**2 + 8*l - 8314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 - 5*b**3\/6 + 4*b**2. Let z be o(-5). Suppose -938 = -2*t - z*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 6*n**3 - 69*n - 128*n - 178*n - 66*n to the form d*n**3 + h + g*n**2 + o*n and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2683608 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -690231\/169 and -4083 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = -3*u - 3*l, 3*u - 2*u = -3*l + 268. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-45) - (3 - (-85)\/(-25))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14479, -28987, -43495, -58003, -72511, -87019?\n\"Answer: -14508*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n + 33*n - 13*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 227939 * 441\nAnswer: 100521099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from wdoododwdwwdwdw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 - 17.32. Let y = 17.4 + w. Let o = y + -0.2. Which is the third smallest value? (a) o (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*m + 15*m**2 - 36*m**3 + 12 + 84*m**2 + 24*m**2 - 13*m = 0. What is m?\nAnswer: -1\/3, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*t - 3 + 27 = 0, -2*n = t + 10. Let w(z) = z**3 + 3*z**2 - 2*z + 3. Let r be w(n). Sort 5, r, -3.\nAnswer: r, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.69 - 2.31. Which is the nearest to -1? (a) 0 (b) 0.04 (c) 1\/9 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.3, -4.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -264*w + 143. Let t = -80144 + 80001. Let d(h) = 6 - h - h - 9*h. Calculate t*d(f) + 6*r(f).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*f - 205, -5*f = -0*f - 3*s + 225. Let z = -30 - f. Is 1899\/z*80\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1196277 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(5\/2) - 3772\/8405?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11501404.\nAnswer: 2, 199, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19182*a*s**3 + 32*a*s - s + 18 wrt s.\nAnswer: -115092*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2129 or 1280?\nAnswer: 2129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6 - 2*p - 3*p + 2*p + 2*p. Let o = 14 - 6. Calculate b(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2029 + 6876*f - 1012 - 1017 in the form o*f + y and give o.\nAnswer: 6876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.93955 to 2 decimal places.\nAnswer: 1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64415 + -1?\nAnswer: 64414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 13, -0.2, 127 in descending order.\nAnswer: 127, 13, 6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2880*w**2. Let u(a) = -9*a**2. Calculate i(u(j)).\nAnswer: -233280*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156 or 155?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**3 - f**2 + f + 1. Let q be a(-1). Let i be 4\/10*10\/2. Differentiate i*b**4 - 3 - 3 + q wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-57)*1*-3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -93444 divided by 599?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-252*u - 5*u - 226*u)*(-9*u**2 + 2*u**2 + u**2) - 3*u**3 + 3*u**3 - 2*u**3 - u**3 - 2*u**3 - 2*u**3 to h*u**3 + m*u**2 + p*u + s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -8*u. Suppose 0 = -5*h - u*h - 7. Is h*(782*1)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {x: 8, b: 5, z: 7}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 124*(4 - (-34)\/(-4)). Let i be (-2)\/8 + v\/(-24). Suppose -2*p = -3*p + i. Solve u + 3*n = 5*u - p, 0 = n + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*q**2 - 9 + 240*q**2 - 4.\nAnswer: 13*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.2537 - -1073794.7463. Let l = v - 1073822.00014. Let w = l + -16. What is w rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyyffyaa. What is prob of sequence aya?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g - 49*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 16*o - 104*o + 589512. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 9*m - 6. Give k(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0493 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 0*l**3 + 6*l**3 - 2*l - 5*l**2 - 7*l**3. Determine c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/(q*q\/(q\/(q*q*q*q**(2\/5)\/q*q*q)*q))*q*q)))*q)\/(q**(-1)*q))**(12\/19) assuming q is positive.\nAnswer: q**(204\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508.7165 micrometers to millimeters.\nAnswer: 0.5087165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 322, 5, 1, -1, -130?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -4\/3 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 12959800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -1\/150*a**7 + 0*a**3 - 7\/120*a**8 + 0 + 1\/30*a**6 + 0*a + 0*a**4 - 5*a**2 + 1\/75*a**5. Factor z(o).\nAnswer: -o**2*(2*o - 1)*(7*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 1869871251.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Suppose 3*l + v = l + 7, 3*l = 5*v + 43. Determine f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 29, -26, -125, -280, -503, -806, -1201?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1025 (b) -3\/10 (c) 171 (d) -12 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w**2 + 10*w + 20. Give c(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.06. Let b = 107646.99 + -107647. Let g = 24 + -122\/5. What is the biggest value in t, g, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkw. Give prob of sequence kw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1215538 at most -1215535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55\/(-80)*-4 + (-2)\/(-8). Solve 0 = -f*k + s - 6, k + 3*s - 14 = -2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((5 - 3) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16013 - -16168. What is the highest common divisor of 4805 and v?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 - 2*f**2 - 2*f - 1. Suppose -4*k + 0*h = -3*h + 16, -5*k + 7 = 3*h. Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13548 and 23676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 351.6464 weeks?\nAnswer: 212675742720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 283*g**5\/60 + 41*g**4\/24 - g**3\/3 + 843*g**2. Find the second derivative of f(z) wrt z.\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*(c**(1\/24)*c)\/c*c)\/c)*c)\/c**14 assuming c is positive.\nAnswer: c**(-289\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315862 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 5*f + 3*f)*((2 - 2 + 3)*(2 + 0 + 0) - 6 + 2 + 3) to the form w*f + k and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1414*m - 6. Let c be r(-2). Suppose -5*g + c = 3*o, 5*g - 6*o - 2830 = -o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64050 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 less than -3.36?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869576887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7 (b) 0 (c) -2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 306 = -3*g. Calculate the greatest common factor of 204 and g.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*s**2 - 461*s - 140*s**2 - 287*s + 72*s.\nAnswer: -377*s**2 - 676*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/2 in -4\/7, 0.5, 3, 17.2, -1\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*a)*(27 + 157*a**2 - 27)*(11*a - 50*a + 20*a) as j*a**2 + z*a + m*a**3 + o + d*a**4 and give d.\nAnswer: 5966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 53*u**2 + 63*u - 159. Is d(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25814845 + 553.9.\nAnswer: 25815398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 25 + 196. Let y(q) = -57 + 5*q + m. Let l(x) = x**2. Calculate l(y(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 333533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:13 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16607 is divided by 371.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180827.\nAnswer: 211, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, y: 1}. Give prob of sequence mm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + i + 1, -z - 7 = 2*i. Let p(r) = 3 + 3*r**2 + 3*r - r - 2. Give p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4*n**2 - 548*j**3*n**3 - 2722*n**3 - n wrt j.\nAnswer: 8*j**3*n**2 - 1644*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 + -16.7.\nAnswer: 336.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 12) in base 3?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-423)\/(-21) + 4\/(-28). Suppose 3*y + 174 = 4*l, -l + 3*y + 65 = 17. Let x = l - z. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 16*x**2 + x - 17. Let y be h(16). Let c be 3*y\/(-3)*5. Suppose 225 = 3*f - 3*o, -351 = -c*f - 4*o + o. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22\/3)\/s*s*s**(-17))\/(s*s**(-4\/11)*s\/s**(-5\/8)) assuming s is positive.\nAnswer: s**(-7021\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25311 and 6864.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 8. List the prime factors of y(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - v - 1. Let x(g) = -2*g + 3. Let r be x(2). Let o be m(r). What is the units digit of -2 + 7 - (o - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 2*l + 7, 3*k + 123 - 134 = 2*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*k - 32 = 0, -4*x - 2*k = 2 - 22. Suppose u + 19 - x = 2*p, 2*u = -4*p. Let r(o) = o + 14. What is the units digit of r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010383 rounded to seven dps?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003266577 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1004, 1025, 1044, 1061?\n\"Answer: -v**2 + 24*v + 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17306*y - 15036 wrt y?\nAnswer: 17306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/5, -4, -0.003?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 678*q - 681.\nAnswer: 3*(q - 1)*(q + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 - 303. Let c be 43\/9 + h\/36*-15. Sort -3\/2, 3\/4, c in descending order.\nAnswer: 3\/4, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*k - 147, 5*j = j + 2*k + 102. Solve -4*w = -3*c + j, -4*c + 3*w + 11 = 6*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from ivitvt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93\/4 + -829\/36. Let j = 0.38 - -157.62. Let g = -158.03 + j. Sort 5, g, -1, d in increasing order.\nAnswer: -1, g, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31755 = -176*c + 19497733. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84858, 84859, 84860, 84861, 84862?\nAnswer: 84863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 182696?\nAnswer: 182696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 7*v**3 + 4*v**3 + v**3)*(28 - 28 - 5*v)*(4 - 3 - 2)*(1 - 2 + 3) in the form o*v**3 + f*v + b*v**4 + t*v**2 + m and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**3\/3 + 3*s**2\/2 + s + 22. Let n be j(-2). Solve -4*p - 3 = -3*i + 10, -n*p - 7 = -5*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or 69?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*u + 26 + 4, 3*u - 54 = -5*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:49 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 722737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 45. Let h = -51 - -55. Let f(m) = m + 11. Let p(z) = h*w(z) + 18*f(z). Differentiate p(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -19048*b - 95192. What is y(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241128?\nAnswer: 2, 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s - 48 = 3*w + 7*s - 6*s, 2*w - 5*s + 186 - 207 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016243293 to the nearest integer?\nAnswer: 31879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 12. Let q be f(15). Let p be 1 - (-2)\/(-1 + 2). Is q greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 6. Let y be x(11). Let c be (y\/1)\/(-1 - -2). Let n = 39 - 35. Sort -3, c, n.\nAnswer: c, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20*u**3 + 22*u**2 - 6*u - 6. Let z(g) = -4*g**3 + 4*g**2 - g - 1. Let v(d) = 2*f(d) - 11*z(d). Let l(y) = y**3 + y + 1. What is l(c) + v(c)?\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 22639040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 2*m**3 + m**3 + (2*m**2 - m**2 + 0*m**2)*(2*m - 3*m + 0*m) + (-419 + 419 + 1479*m**2)*(5 - 3 + 0)*(-2 - 3*m + m + 3*m).\nAnswer: 2956*m**3 - 5916*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 117640490.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 613 - -1710?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -23, 15, 75, 163, 285, 447?\n\"Answer: r**3 + 2*r**2 + 9*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/(-2))\/(17\/272).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -6 + -2 - -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + 5*w)*(-7*w + 0*w - w)*(-w - 4*w + w).\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 6*t - 3. Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Suppose -5 = -2*a + 1. Suppose 7*x = a*x + 12. Let u(l) = -5 + 5 + x*l**2. Calculate n(u(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -92?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1890275465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 351008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 4*k + 1. Let d = -4 - -7. Let f(n) = n**2 + 3*n + 1. Suppose -5*s - 99 + 64 = 5*m, 4*s - 3*m = 7. Give d*f(g) + s*x(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2245 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*o**2 + 3*h**2*o**2 - 13*h*o + 118*o**2 with respect to h.\nAnswer: -8*h**3*o**2 + 6*h*o**2 - 13*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1531, 3758, 7491, 12748, 19547, 27906?\n\"Answer: 3*r**3 + 735*r**2 + r + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 12:30 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28499919 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4493536387.\nAnswer: 4493536387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 - 9*n**2 - n. Let d(k) = 0*k - k - 5*k**2 + 411240*k**3 - 411238*k**3. Give 5*d(p) - 3*o(p).\nAnswer: p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - 19*h**2 - 7*h**2 in the form b + d*h**2 + p*h and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*n = 288*n - 4*m - 10, 0 = 4*n - 2*m - 14. Solve -15 = -n*f, 0 = 4*c + 16*f - 17*f + 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1143)\/72 - ((-959)\/(-56) - 17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from selss.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10*a = 15. Let z(q) = q + 3. Let j be z(a). Let k(v) = -v + 3. Determine k(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 758077955*y**4 + 1066154905?\nAnswer: 3032311820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/7 + 468477*a\/7 - 468480\/7.\nAnswer: 3*(a - 1)*(a + 156160)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, h: 1, y: 1, a: 3}. What is prob of picking 1 y and 1 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214342 (base 5) to base 3.\nAnswer: -101020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 5 - 5*v - 3 + v. List the prime factors of a(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2883 - 2577. Let l = 68219 + -67916.03. Let j = l - b. Round j to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155930 is divided by 176.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -266 and 5.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 453 - 300. Let k = 147 + -130. Calculate the greatest common divisor of k and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (564*s + 4 + 12 - 31 + 15)*(0 + 2*s + 0) to l*s + b*s**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 3. Suppose 3*d = 4*n + n - 9, 5*d - 3*n = 1. Let y be b(d). Suppose 88*v - 8 - 903 = 673. What is the nearest to -2\/7 in 1\/3, y, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (10 - (1 - -12) - 50)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 28?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(33)\/sqrt(3) - sqrt(11)*-3*1 - (-1 + (sqrt(3300) - sqrt(3300)*-1)\/sqrt(3))**2.\nAnswer: -4401 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.054*13\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1130, -1337, -1676, -2141, -2726, -3425, -4232?\n\"Answer: d**3 - 72*d**2 + 2*d - 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, o: 6}. Give prob of sequence oo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10210093 > -10210096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10804 + -10801. Solve -d*w + 418 = 424 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 4, 0, 3, -5 in descending order.\nAnswer: 117, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-7))\/(5\/(140\/(-8))). Let i be (9\/(-4) + 2)*u. Which is smaller: 2\/33 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u + 20, 3*a + u = -16. Let k be a\/(-14) - 19\/(-7). What is the units digit of 15\/10*10\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 + r**2 + 4*r + 3. Let u be v(-1). Suppose -1 = -2*x - u, 2*j - 136 = 5*x. What is the greatest common divisor of 168 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dthtiuxxxxxhxhtixxx. What is prob of sequence xh?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 18. Suppose 88 = -4*r - 0*i - b*i, 4*r = -i - 86. Let a = -18 - r. Solve -2*o - o = a*k, 2*k = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 30 + 101 - z + 0*z - 12*z to h + t*z and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:18 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086*v + 787 = 2087*v. List the prime factors of v.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 21 - 52) + 153\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16165.\nAnswer: 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n - 110 + 110)*(6*n - 4*n - 3*n) - n**2 - 2*n**2 + n**2 + n**2 - 3*n**2 - 3*n**2 in the form z*n**2 + p + j*n and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 184474283 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190295*j**3*z**2 - 7*j**2*z**2 - 9*j**2 + j*z**2 - 15*j - 5 wrt j.\nAnswer: -1141770*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 4, 48\/389?\nAnswer: 48\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-1)*(-400)\/(-2). What is l rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(1\/((-351)\/(-78))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220469 = 212*v - 242729 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*g + 2320, -4*g + 8*g = -3*k + 2320. Let p = g - -99. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14862596 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (10 + -4 - (3 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyddydjdjjytn. What is prob of sequence yynt?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10101100010?\nAnswer: -10101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13668 and 21130728.\nAnswer: 21130728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 + 0)) + (-31 + 45 - 24) + 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1297, -1299, -1301, -1303, -1305?\n\"Answer: -2*x - 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -176, -158, -128, -86, -32, 34?\n\"Answer: 6*k**2 - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/1523 (b) 0 (c) 0.3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*m**3 + 6*i**2 - 2*i*m**3 - i*m**2 - 14*m**4 - 11*m**2 wrt m?\nAnswer: 6*i**2 - 12*i - 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -4, -5, -0.5, -0.03428 in descending order.\nAnswer: -0.03428, -1\/7, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p\/(p*p\/(p\/p**12*p))))\/p)**(-9))**(3\/11))**(2\/29))**50 assuming p is positive.\nAnswer: p**(-2700\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 5*r**2 - r + 5. Let c be p(5). Let w be 87 - (3 + 0\/2). Suppose c*y - w = -4*y. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02026397 and -4?\nAnswer: 0.08105588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-3) + (-2)\/3. Suppose 0 = -105*o + 89*o + 32. Solve 2*m + b = 2*a, a - 14 = m - o*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(2)) + -2*sqrt(2) + 4)**2*3 + ((sqrt(2592)*-1)**2 - sqrt(2592) - 1*sqrt(72)).\nAnswer: -60*sqrt(2) + 2625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1586 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*j - 11 - 141, -4*j - 4*n + 112 = 0. Solve -366*i + 371*i + j = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.1656 + -0.2044. Let a = 28 + x. Round a to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-12 - -19) + (0 - (1 + 1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d + 8*d - 26*d - 241*d - 43*d to the form i*d + a and give i.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/49, -1\/6, 41?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-24)\/g**(-6\/13)*g**17\/(g\/(((g**15\/g)\/g)\/g)))**(-23) assuming g is positive.\nAnswer: g**(-1334\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6233 = -7*u + 4*u, -w - 4*u = -1563. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -8154\/7*c + 0 - 6\/7*c**2 = 0.\nAnswer: -1359, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 6 = 2*z - 2*k, 0 = -4*z + k + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32282850637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 - 7*g - 5. Calculate l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 - 178. Is p != 4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 - 90. Let i be 54\/o*3\/5. Which is the nearest to -1? (a) 4 (b) i (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(19) + ((-1*sqrt(190) - sqrt(190))\/sqrt(10) - sqrt(19)) + 1 + -2).\nAnswer: 12 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/20*2\/(-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.6, 2\/199, -3, 22 in increasing order.\nAnswer: -3, -0.6, 2\/199, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*b**3 - 4508320*b**2 + 967055853*b wrt b.\nAnswer: 168*b - 9016640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 54*l**2 - 453*l + 5544.\nAnswer: 3*(l - 21)*(l - 8)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52092 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, -0.2, 0.07, 3 in ascending order.\nAnswer: -0.2, -2\/39, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057854?\nAnswer: 2, 797, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10 + 507\/(-15). Let u = 30 + -34. Let g = u - z. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 0 + 119 + -139.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 11. Let n = 3 - -33. What is the greatest common divisor of y and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, -5\/2, 1.5289, -2 in ascending order.\nAnswer: -5\/2, -2, 1.5289, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501787.\nAnswer: 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-218)\/(-1962))\/(1\/(-342)*2)*-2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67054 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/32)\/((-6)\/212). Let q = 209\/8 - o. Which is the second biggest value? (a) 1 (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -225*a + 4. Let c(j) = -224*j + 2. Determine 3*c(w) - 2*n(w).\nAnswer: -222*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 17*b - 14. Let h be m(-16). What is the units digit of (19 + -52)*h\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 + -30?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8875 = 314*b - 1801 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 - 123. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/10*(8 + -13). Suppose 5*v - 4*f = 54478, 0 = f - 3*f + m. Is -4*3\/(-16) - v\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3817503920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1499880 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/277 (b) -2\/13 (c) -2\/11 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -38. What are the prime factors of (0 + y)\/((-4)\/5784*-6)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 - 2*z - 4. Suppose 2*h - h = 2*w + 3, -w = 3*h - 16. Suppose 0 = -h*b - 3 - 22. Calculate the smallest common multiple of 2 and x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2722, 17922, 56162, 128002, 244002?\n\"Answer: 1760*y**3 + 960*y**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*(-2)\/4. Let w = 4.3 - 3.9. Sort -4\/7, w, b.\nAnswer: -4\/7, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39136494, 39136516, 39136550, 39136602, 39136678, 39136784, 39136926, 39137110?\nAnswer: 39137342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -32*w**2. Let q(y) = -10*y - 1. Give q(d(f)).\nAnswer: 320*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 566, 1848, 4326, 8396, 14454, 22896, 34118?\nAnswer: 48516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 426360631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 454535, 909048, 1363561, 1818074?\n\"Answer: 454513*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:00 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 3*x - 1. Let c(o) = 4542*o**2 - 42*o - 7856. Let d(l) = c(l) - 14*w(l). Find the first derivative of d(i) wrt i.\nAnswer: 8944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o*o**1*o)**(11\/3) assuming o is positive.\nAnswer: o**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 124, -2 in ascending order.\nAnswer: -2, 0, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(171))\/(-5*sqrt(27)\/sqrt(3)) + 0.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express g - g + 13*g**2 - 14*g**2 + 14*g**2 + 45*g**2 + (-3*g + g + 4*g)*(-g - 2*g + 5*g) in the form n*g + u*g**2 + t and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520204.\nAnswer: 2, 3, 103, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7700\/3 (b) 115 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*k**3*l*q**2 - k**3*l*q + 11*k**2*l*q - 5*k*l - k*q - 2*l*q**2 wrt q.\nAnswer: -204*k**3*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 23284, 0, 11 in descending order.\nAnswer: 23284, 12, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394115 is divided by 1077.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*x - 79273, -99045 = -5*w + 173*x - 170*x. List the prime factors of w.\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmd. Give prob of sequence dmd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Suppose 5*p = -3*x - 14, -x - x = s*p + 16. Suppose 0*q + x*a + 172 = 4*q, 178 = 4*q - 5*a. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34611 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*d + 329*d + 7*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f + 55. Let t be u(-7). Solve -5*g + 4 = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13947 rounded to three decimal places?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -7*m**5\/120 - 8*m**3\/3 - m**2. Let w(l) be the first derivative of u(l). Let c(g) = g. Give c(w(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-152)*8 + 2\/19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttk when three letters picked without replacement from {u: 3, x: 3, s: 5, k: 7, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 + 12*b - 12*b)*(-5 - 7*b + 5) - 2*b**4 + b**4 + 0*b**4 - b**4 + b**2 - b**2 to the form a*b + t*b**3 + v*b**2 + d + y*b**4 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**20))\/l**(-10\/11) assuming l is positive.\nAnswer: l**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16095253*q**2 - 11109004*q + 1 wrt q?\nAnswer: -32190506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (6 - (-4 + 9)) + 127 + -126 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.15814 - 73?\nAnswer: -67.84186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 14663?\nAnswer: 29326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/9 + 1 + (-19)\/((-627)\/88).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-3) + (-1)\/(-3) + 35. Suppose -6*y - q = -4*y. Is y*((-45)\/(-3))\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (567\/(-315))\/(-2*(-3)\/8 + 81\/(-110)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 34. What is q(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 60 = 7*h - 12*h, 5*h + 3*s = 35. Let k(v) = -6*v - 34. Let d be k(-6). Solve -d = 4*n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 32382?\nAnswer: 32405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4690 divided by -335.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 495869.8 to the nearest one hundred.\nAnswer: 495900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 24*s = -59*s - 2135 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/4373750221 + 288514433331693\/14993215757588. Let j = v - -6\/857. What is the common denominator of -103\/14 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.025.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 + q - 30 + 3*q**3 - 187 + 55*q**2 - 12 wrt q?\nAnswer: 18*q + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386889?\nAnswer: 3, 29, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2\/3*r**3 - 204\/5*r**5 + 87*r + 0*r**4 + 0*r**2 + 139. What is the third derivative of q(p) wrt p?\nAnswer: -4896*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 7*u - 4. Let q be ((-1)\/(-2))\/(13\/u - 3). Let s = -145\/172 - -4\/43. What is the biggest value in q, s, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 - -8)\/1. Let y(d) = d + 1. Let u(o) = -o + 1. Let p(b) = 2*u(b) - y(b). Is p(j) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.15862 decades in centuries?\nAnswer: 7.815862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 18145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -17. Which is the closest to o? (a) 5 (b) 4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 5 (c) 20 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11010*z - 10776*z + 0 + 0 to g*z + n and give g.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278099.6 millilitres to litres.\nAnswer: 278.0996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose 5*o - p*y - 306 = 0, 2*o + 4*y - 129 = -21. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-1)*28\/(-8). Suppose -2*i = -h - 13. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0 - 5. Let l(o) = o**3 - 5*o**2 + o - 3. Let t be l(h). Suppose t*k - 2 = -3*m + m, 12 = -3*m. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than 0.1935?\nAnswer: -1.1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/(-52)*4\/(-3))\/(72\/624)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 43, 44, 45, 46, 47?\n\"Answer: b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 119\/2, -12, -1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -271 - -277.85. Let j = -0.15 - z. Let o = j + 6.8. Which is greater: 0.05 or o?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.0003 - -3. Round m to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4648 divided by -4.\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11691)\/1830 + 0)\/(6\/8). Let m = -5\/61 + i. Which is smaller: m or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 11:58 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -40\/141 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 144, 271, 426, 609, 820, 1059?\n\"Answer: 14*b**2 + 85*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7382 - -7394. Calculate the highest common divisor of 2334 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.08, -5, -28, 1\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 4*h - 2*q, -7*q = -5*h + 60 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:51 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:58 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8793.44 micrometers in meters?\nAnswer: 0.00879344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 + (-36)\/(-12). Let i(q) = -q**3 + 5*q**2 - q - 2. What is i(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 749237759 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89313687 to the power of 1\/2, to the nearest integer?\nAnswer: 9451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3 = 3*x, 4*x + 2*i - 1 - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5 - 2*t**3 - 7*t**2 + t**3 - 16*t + 6*t + t. Let y be h(-5). Suppose 5*z + 6*f = 4*f + 385, y = -3*z + f + 231. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/26, -2296, 21\/4, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1726963, 3453901, 5180811, 6907693, 8634547, 10361373?\nAnswer: 12088171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389741678 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3487 to two decimal places.\nAnswer: -6.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/14680713 and 32\/9?\nAnswer: 44042139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121) - (sqrt(121) + 2*sqrt(121))))\/(1*sqrt(275))*4*3.\nAnswer: 48*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6\/17, 0, -24, -2374 in descending order.\nAnswer: 5, 6\/17, 0, -24, -2374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 6858?\nAnswer: 425196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {c: 1, t: 3, f: 1, l: 5, r: 2, d: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = -3*s - 14. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2. Let u(m) = m**2 + 8*m - 14. Let v be u(-10). Let o(a) = -v + 5 + 1 - a**2. Determine w(o(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -12*t**4\/7 - 352*t**3\/7 - 776*t**2\/7 - 544*t\/7 - 108\/7 = 0.\nAnswer: -27, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190)*1 + sqrt(190)) - sqrt(190) - 6*(sqrt(190) + (sqrt(190) - sqrt(190)*-1) + sqrt(190)))\/(-2*sqrt(360) + (sqrt(490)*2 - sqrt(10))).\nAnswer: -37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -872 by -218.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 452\/222247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215 - 78987734.\nAnswer: -78987949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 9*z - 6. Is b(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 57*n - 126 = 0?\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3571 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28853 + 0.048?\nAnswer: -28852.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u + u + (1 + 0 - 5)*(-2 + 2 - u) - 2*u - 3*u + 6*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -74, -107, -140, -173?\n\"Answer: -33*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 957634284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 7 - 1 - 11)*(h - 2*h**3 - h).\nAnswer: -4*h**4 + 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12)*1\/(1\/6)*25865\/11085?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*((-5)\/((-40)\/(-12)) - -1). Solve 4*r + g = -2*u - 0*r, -4 = 2*u - 4*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 - 3*n - 6. Let m be z(4). Suppose -h - m = -2*q, -h - 9 = -3*q + 13. Suppose -1 = -q*v + 15. Solve -7*l - 15 = -v*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/2 - 9*u + 32984 = 0.\nAnswer: -266, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**2 + 2*p + 0 + 1\/2*p**3. Let g(n) = -n. What is l(g(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 6:15 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -486 + 17*b**2 + 78 + 79 - b + 328. Let m be (-2)\/8 + (-3)\/4. Give h(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -17*h**3 - 4*h**2 + 6*h - 1. Let n = 46 - 50. List the prime factors of r(n).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3 = 2*b, 16*b - h - 204 + 204 = 8*b + 9*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 106266?\nAnswer: 53133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -580, 614, 1808, 3002?\n\"Answer: 1194*y - 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9519 and 187875.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3)*f)*f)**42\/(f**1)**(-28\/9) assuming f is positive.\nAnswer: f**(1540\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50899 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.5 - 43. Which is the biggest value? (a) f (b) 2\/17 (c) 11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 - 13*w + 4. Let z(r) = -2*r**3 + 5*r**2 + 27*r - 9. Let t(v) = 13*p(v) + 6*z(v). Is 14 a factor of t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 3118*b - 28046. What is q(-9)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 240 = 0. Let z be 0 + 3\/(((-45)\/(-6))\/5). Suppose z*n - r = -32. Which is smaller: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from rsrxcxjrcxxrojj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33\/184 - 9\/46. Let m = 30.5 - 35.5. What is the nearest to 0 in m, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 37*r**8\/168 + r**5\/30 + 2*r**3 + 52*r**2. Find the third derivative of d(h) wrt h.\nAnswer: 4440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 87*j**6 + 2*j**3 + 3*j**2 - 4*j + 1. Let f(p) = -p**6 - 2*p**3 - p**2 + p - 1. Let q(o) = -c(o) - f(o). What is the third derivative of q(l) wrt l?\nAnswer: -10320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + 1*sqrt(252))*-6.\nAnswer: -36*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1 + -5 - -1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -fc (base 16) to base 5\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154494 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 14, -3\/233, 2?\nAnswer: -3\/233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*z - 6, 3*z - 5 = -3*y - 2*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 29*y - 27. Let r be m(1). Suppose 3*b + r*s = 1129, 4*s = 12*b - 9*b - 1153. List the prime factors of b.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-3))\/(3\/159). Let p = -53 - x. Solve p*u**2 + 2\/11*u + 0 + 2\/11*u**5 + 0*u**4 - 4\/11*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m + 78. Let h(r) = -11*r - 154. Let y(s) = 6*h(s) + 13*q(s). Let l be y(-8). Does l = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 98 + 1)*(11*y + 3*y + 2 + 2*y - y) - 9 + 9 - y in the form j*y + f and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2*(-63)\/6. Suppose 3*l - 2*i + m = 4*l, 4*i - 53 = -3*l. What is the third derivative of l*d**5 + 0 + 0 - 9*d**5 - 2*d**2 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 12496.\nAnswer: 112464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17924606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -469, -940, -1417, -1900, -2389?\n\"Answer: -3*q**2 - 462*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -2 (c) 295 (d) 0.1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 5 in decreasing order.\nAnswer: 5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g + 18*g - 936 = 0. Calculate the least common multiple of 106 and g.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m, -10504*m = h - 10510*m - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - 7*m + 12*m**2 - 15*m**2 - 14*m in the form o*m + j*m**2 + b and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36694.03 - 36513. Let x = 178 - y. Let j = x + 0.03. Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1819 and 8980403.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -33*p + 36*p - 1980. Calculate the smallest common multiple of 29 + 0 - (2 - 1) and p.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3186 divided by -354\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -21. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49321*n**4*w - n**2*w - 5*n*w + 130290938*w wrt n?\nAnswer: 197284*n**3*w - 2*n*w - 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 + 9. Let v be f(0). Suppose v*i - 10*i + 381 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:14 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1202135\/(-49675) - (-2138)\/90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -33, -48, -61, -72?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 206. Let x be v(-52). What is the nearest to -9 in x, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y*y\/y**2)**(1\/2)\/(y*y**8*y**9)**(-2\/33) assuming y is positive.\nAnswer: y**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 12 = -2*t. Suppose 3*n = -0*n + t. Suppose 2*s + n - 6 = 0. Solve 3*g = 4*o, s*o = 3*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 240, 2156, 7424, 17724, 34736?\n\"Answer: 280*i**3 - 4*i**2 - 32*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h - 454 = 191 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let u be ((-3)\/9 - 0)*(-12 + 27). Let p = u - m. What is the second smallest value in 1\/4, p, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 366, 559, 770, 1005, 1270, 1571?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -174*l. Let s(m) = -m**2 - 8*m - 25. Let d be s(-10). Let j be (1\/(9\/(-6)))\/(6\/d). Let h be f(j). Round h to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_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: Sort 3, -9717598, -15 in increasing order.\nAnswer: -9717598, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7))**(9\/8)*(h\/(h*h*h**(-1\/2)\/h))**(-31\/3) assuming h is positive.\nAnswer: h**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1150074902 to the nearest ten thousand.\nAnswer: 1150070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5932546 and 15599.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2905 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191374875, -382749752, -574124629, -765499506, -956874383, -1148249260?\nAnswer: -1339624137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1806)\/(-12) + (-6)\/(-4). Let t be ((-3)\/(-12))\/(-1) + s\/(-32). Let v = 2 - 1.9. What is the nearest to v in 0.2, -1, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -16\/3 - 476\/3*v**2 + 632\/9*v - 860\/3*v**4 - 4238\/9*v**3 - 50*v**5 = 0.\nAnswer: -3, -2, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-1) - (11 + -8). Let y = 67 - u. What is the derivative of 0*j - y*j - 8*j + 45 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18223920 divided by 31860?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -10*l + 1\/12*l**3 + 0 + 1\/48*l**4 + 0*l**2. What is o in z(o) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11362, -22846, -34330?\nAnswer: -45814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h*h**15*h)\/h)\/h*h**(-3\/5) assuming h is positive.\nAnswer: h**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 4*m + 2*s + 10, s = -3*m. What is the closest to 144 in m, 0.5, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 103862332 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/(-122))\/((-2)\/76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -12, 0.1 in descending order.\nAnswer: 131, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2*(-149)\/42 + (2512\/112 - 23).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107821, 431295, 970419, 1725193, 2695617, 3881691?\nAnswer: 5283415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -279. Suppose 5*g - p = g. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 0 = k*g - 35 + 11. Solve g + 8 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 + 3)*(-3)\/(-6). Let o = -5 + a. What is the tens digit of (-1 - (-2)\/o)*-51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:47 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/8 + (-1)\/(-4). Let j(l) = l. Let q be j(k). What is the derivative of -q + 3*s + 0 + 3 wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 2*s**6\/35 + 2*s**5\/7 + 25*s**4\/42 + 5*s**3\/3 - 30. Let z(t) be the third derivative of i(t). Let z(l) = 0. Calculate l.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06966721 * -0.1\nAnswer: -0.006966721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 549 - 956. Let x = 205 - f. Suppose -3*p + 0*p - 2*d + x = 0, p = 2*d + 212. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 45. Calculate the common denominator of ((-51)\/(-6))\/(14\/z + 2) and -71\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*i + 84, 2*f + 2*f = 2*i + 28. Let a(j) = -j**2 - 21*j + 20. Let w be a(i). Let q(d) = d**3 + 2*d**2 - d. Give q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2664216, 5328449, 7992682, 10656915, 13321148, 15985381?\n\"Answer: 2664233*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 10*i**2 + 16*i - 13. Let p be 2\/10 + (-54)\/(-5). Calculate the remainder when t(p) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose -4*o + 7*o - 1563 = b. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20247, -20010, -19771, -19530, -19287?\nAnswer: -19042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1958689816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12) - 1472\/6) + 2. Let z = y + 443. List the prime factors of z.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = -y - 3, 0 = y + 5*p + 23. Find the third derivative of 14*r**y + 26*r**3 - 26*r**3 + 4*r**5 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1475292 and 3900.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 2*o - 8, 90*o - 91*o = b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163216159\/210 + 777214. Let i = z + -106\/35. Calculate the common denominator of -67\/56 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4068*n = 2265*n + 222*n + 96887 - 13094 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-26)\/8)*-4. Suppose -2*g - 26 = 6*b - 2*b, 0 = n*b. Let o = g + 21. What is the highest common divisor of o and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, q: 7, l: 3, v: 3}. What is prob of sequence lmqq?\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 + 451*c**2 - 898*c = 0.\nAnswer: 0, 2, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 10, 4*z - 4*n = -4. Let b(q) = q + 1 + 1 + 0 - z. Let r be b(2). Is r at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10.1. Let r = -0.8 + 0.3. Let g = r + 0.6. Which is the closest to g? (a) x (b) 0 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from waaggwagagg?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (0 - 4 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12201 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5011160, 20044634, 45100424, 80178530, 125278952, 180401690, 245546744?\n\"Answer: 5011158*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 - 1)*(-6*w**2 - 8*w**2 + 4*w**2) + 47*w**2 + 52*w**2 - 123*w**2.\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Suppose s = 4*l - 6. Calculate the remainder when 4 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**3 - 2*m**2 + 39*m + 21. What is the units digit of u(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 - 7*x. Let t(w) = -13*w + 212. Determine o(t(y)).\nAnswer: -507*y**2 + 16627*y - 136316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.00019 - 15. What is i rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*o + 6*o + 117, -d = -3*o - 13. What is the remainder when 63 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2695 - 2695. Which is the closest to n? (a) 0.4 (b) 4\/11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 394*b**2 - 47048*b + 3851. What is k(490)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/6 + 2\/4. Let x = 6 + -11. Let y be (x\/(-60)*9)\/(2\/8). Solve p*v + 5*l + 0 = 25, -y*l + 12 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**(-9)\/(m**(-2\/3)*m)**(-1\/4) assuming m is positive.\nAnswer: m**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.69 + 17.31. Is v <= 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1114177, -1114178, -1114179, -1114180, -1114181, -1114182?\nAnswer: -1114183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -2\/11, -5 in descending order.\nAnswer: -2\/11, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111 + -11?\nAnswer: -100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 21*l + 77. Determine t(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)\/(n\/n**(2\/37))*(n\/(n\/((n**(-4)\/n)\/n)*n))\/((n*n**(-1\/14)\/n)\/n))**(3\/19) assuming n is positive.\nAnswer: n**(-10683\/9842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 + 29*l**2 - 48*l + 23. Calculate j(13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6ca + 4?\nAnswer: 6d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-7) + 16290\/(-63). Round y to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, c: 3, y: 2}. Give prob of picking 2 y, 1 c, and 1 g.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 594743 minus -159.601?\nAnswer: 594902.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10 - -17) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3966456119 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 23, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 6024?\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8857, 17895, 26933, 35971?\n\"Answer: 9038*a - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(1700)*4*-6.\nAnswer: 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1967684336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(0*o + 0*o - 3*o) + (0 - 2 + 0)*(-5*o + 4*o + 0*o) + 2 - 2 + 2*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 - b7?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 20*r**2 - 26*r - 45. Let w be q(-18). Let z be w\/(-33) - 24\/(-132). Suppose z*j - 37 = 6*j. Solve s = h + 2, s - j = 5*h + 5*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d - 3. Suppose p - 2*g = 24, d - 53 = -2*p + 3*g. Let b = p + -19. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362158*j - 772529?\nAnswer: -362158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*f - 234 = 86, b - 80 = 5*f. Let z be (-1 + 2)\/((-4)\/b). Let r = z - -43. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6476366605?\nAnswer: 5, 5347, 242243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5 + 6*v + 0*v - 3*v - v. Let u be x(6). Calculate the greatest common factor of 187 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1213, -2423, -3631, -4837, -6041, -7243, -8443?\n\"Answer: p**2 - 1213*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7808 = -16*p - 16*p. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.07 times 15?\nAnswer: -211.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331351 = 27*n - 1332188 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 2*r**2 - 2*r + 7. Let a(n) = -4*n**3 + 5*n**2 + 5*n - 15. Give -2*a(v) - 5*z(v).\nAnswer: -2*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p - 0. Let z(m) = 2*m**3 - m**2 + 1. What is z(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1\/198042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w**3 - 3*w + 1. Let o be p(1). Suppose 24*x - o*x - 1740 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82009 + 158009. What is t rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41402 divided by 1\nAnswer: -41402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -15*p - 737. Let g be r(-50). Let m(l) = -l + 1. Let v(a) = -26*a + 13. What is g*m(i) - v(i)?\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f + 50. Let c be x(6). Let a be 51 + (0\/1)\/1. Let g = c - a. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 40, 383.\nAnswer: -12, 40, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 615763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-5) - (-79)\/(-10) and 2 + (-3)\/1 + (-2 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 2374712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150952 divided by 8.\nAnswer: -18869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 - 859998*u**3 + 61285493019*u**2 + 49815907028784*u + 10066128186508992 = 0. Calculate u.\nAnswer: -403, 143736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254105, 1016962, 2288389, 4068386, 6356953?\n\"Answer: 254285*k**2 + 2*k - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 1783 in descending order.\nAnswer: 1783, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -21. What is the common denominator of -79\/2 and (-7 - s) + (-219)\/(-42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let j be (f\/(-1))\/((-1)\/(-11)). Suppose -2*s = -g + j, -2*s + 4*s - 4 = 0. Solve -4*p + 3*d = -3 + 15, 5*p + g = 4*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1273*g - 6. Let j(d) = 1281*d + 7. What is 8*j(z) + 9*p(z)?\nAnswer: -1209*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*k**3 - 6*k**2 + 222*k**3 - k - 104*k**3 to q*k**2 + a + b*k**3 + c*k and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 159643340209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 7 - 7)*(-7 + 64 + 1 + 1 + 0 + 1 - 5 + 0 + 3 + 0 + 1 - 3 - 3 - 3 + 5 + (-1 + 3 - 1)*(0 + 2 - 4) - 2 + 0 + 3).\nAnswer: 162*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/56 + (-25)\/8 + (-19)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**5\/3 - 2665*c**4 + 8040*c**3 + 144200*c**2\/3 + 10640*c - 64080 = 0?\nAnswer: -1602, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 - g - 1. Let k(h) = 3*h**3 + h**2 - 7*h - 4. Give -4*f(m) + k(m).\nAnswer: -m**3 - 3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273 - 274. List the prime factors of (r*1)\/(1*9\/(-4905)).\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236\/(292640\/2232)*16\/(-6)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173979 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -26*v**7\/21 - 3*v**3\/2 + 3*v**2\/2 - 4*v + 2. Find the second derivative of f(l) wrt l.\nAnswer: -1040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let r = -2.72 - -2.62. Which is greater: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113299*-1.15.\nAnswer: -130293.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 3*y**2 - 7*y**2 - 6*y + y**2. Let t be m(6). Suppose t = 4*l - l - 111. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 773 + -1721. Let j = -657 - o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, i: 10, s: 1, p: 1}. What is prob of sequence pi?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 105937986.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 66*v + 66*v + 4*v**3 - 2*v**2 as f*v**3 + u + p*v**2 + z*v and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38569450.\nAnswer: 2, 5, 771389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-18 - -1) + -59 + (107 - -69).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:56 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -120002, -120003, -120004?\n\"Answer: -f - 120001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 169*j - 165*j. Suppose j*g + 8 = 6*g. Solve -4*w + g*w - 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22299911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*p - 16 = 0, -5*t + p = -3 - 11. Let l(d) = -225*d + 2*d**t - 223*d + 448*d. Let x(j) = 4*j**2. Calculate l(x(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 5. Let r be 3\/15*-5*-1*1. Let q(j) = -1. Determine r*c(l) + 5*q(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68) - sqrt(68)*2).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.9 + 11. What is the closest to h in 4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 14*d = -15*d - 51480, -6*w + 61760 = 2*d. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5329, -10184, -13995, -16240, -16397, -13944, -8359, 880?\nAnswer: 14295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j**4\/3 + 310*j**3\/3 - 11020*j**2\/3 - 18490*j\/3 + 39368 = 0. What is j?\nAnswer: -37, -4, 21\/8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 163891, 163979, 164049, 164101, 164135, 164151, 164149?\n\"Answer: -9*g**2 + 115*g + 163785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -3. Let o = 26 + z. Suppose o = 3*m + 2. Solve 3 = -b + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*x - 1. Suppose 2*l - 2 = 0, 5*l - 4 = m - 2. Suppose 4*d - 3*d = 2*v - 32, m*v - 3*d = 51. Solve -x*n + n = v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4309, 7978, 11007, 13396, 15145?\n\"Answer: -320*w**2 + 4629*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**4\/24 + x**3\/3 + 2*x**2. Let v = -57 + 60. Suppose -8 = 4*f + v*d + 6, 8 = f - 5*d. Give u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - -1.8. Let h = -0.2 + 0.7. What is the closest to z in -2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11987*c**3 - 2*c - 12107 wrt c?\nAnswer: -35961*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 846*d - 2509. Determine l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 221706843, 221706845, 221706849, 221706855, 221706863, 221706873, 221706885?\n\"Answer: x**2 - x + 221706843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 667710721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k - 4*i - 20, 2*k + 5 = -i. Suppose 70 = 7*a - 154. What is the remainder when a is divided by k*(-2)\/4 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 3. Let q be r(7). Let z = -61 + 36. Let n = z - q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**3 + 6*m**2 + 6*m + 6. Suppose 2 = -2*v + 6. Suppose p - 5*w - 6 = 3, -5*p = -v*w + 24. Let k(q) = -q**3 - q**2 - q - 1. Determine p*k(z) - t(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 41. Calculate the greatest common factor of z and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(((-3456)\/243)\/16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.394314ug to milligrams.\nAnswer: 0.008394314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 381*1601\nAnswer: 609981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let l(w) be the third derivative of w**4\/8 - 15*w**2. What is l(y(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -24*a**2 + 145*a - 24. What is c(7)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q + 2. Let t be r(-1). Suppose t*y - 2 = 3*j, 4*y - 5 = -5*j - y. Sort j, 0.28, -4, -5.\nAnswer: -5, -4, j, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-4 - (7 + -7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 9129?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 23*x + 3 + (x + x - x)*(-3 + 4 + 0) + 1 - 1 - 2*x in the form i*x + u and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -5*t**3 - 93. Let a(c) be the first derivative of 0*c**2 + 2 + 1\/3*c**3 + 0*c. What is a(m(h))?\nAnswer: 225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -28*u - 11. Let j = 8 - 13. Does 43 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 594, 1089, 1706, 2439, 3282, 4229?\nAnswer: 5274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133214333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 661, 773, 1069, 1639, 2573, 3961, 5893?\n\"Answer: 15*k**3 + 2*k**2 + k + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6548003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -7*l + 20 - 150 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 342*q**5 - 7*q**4 - q**3 - 58213*q wrt q.\nAnswer: 6840*q**3 - 84*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14483, -14481, -14479, -14477, -14475, -14473?\n\"Answer: 2*a - 14485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - x - 11 = 4*r, 5*x + 11 = r. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*n**5\/4 + 1565*n**4\/4 + 1065*n**3\/4 - 1565*n**2\/4 - 525*n\/2 = 0. Calculate n.\nAnswer: -1, -2\/3, 0, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4) + 8\/4. Let s = 99.5 + -99. Sort 0.23, s, w.\nAnswer: 0.23, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**46*((h\/(h\/((((h*h**3*h)\/h)\/h*h*h)\/h))*h)\/h*h)**14 assuming h is positive.\nAnswer: h**(582\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3*r + 13*k**3 + 9*k*r + 1777*r wrt k?\nAnswer: -3*k**2*r + 39*k**2 + 9*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 40 = 32. Suppose 0 = -8*k + 11*k + f. What is the least common multiple of 10 and (k\/5)\/(1*(-1)\/10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 6\/(-4))*6. Let y be n + 17 + 4\/(-2). Suppose 4*g = g + y. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 128*z**2 + 11*z + 1. What is n(-1)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose 4*k + o*n - 42 = 0, 0*n + 27 = 4*k - 3*n. Let m = -313 - -337. What is the lowest common multiple of m and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 7*n**2 - n - 3. Let z be o(8). What are the prime factors of (-160)\/z - 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**2 - 2*b + 1. Let y be f(7). Solve -4*z - 3*j = -y - 17, 0 = 4*j - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -5, -0.09, 1, 3, 5 in ascending order.\nAnswer: -22, -5, -0.09, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by 12\nAnswer: -119\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpnnponnhnpno. What is prob of picking 1 k, 1 p, and 1 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.02165.\nAnswer: 0.010825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 - 189. Let j = -208 + u. Solve -j*y + 3*i - i = -2, -5*y - 31 = 4*i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2662 (b) -2\/9 (c) 53 (d) 19\/2 (e) 3\/13 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 6)*(197*n**2 - 460*n**2 + 270*n**2 + 466*n).\nAnswer: -35*n**2 - 2330*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19895851 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000805987382 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 69 = 9*i. Suppose -i = 2*u + b + 38, -b = -3*u - 148. Let r = u - -84. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/5 - 16*o**3\/5 + 78*o**2\/5 - 112*o\/5 + 49\/5.\nAnswer: (o - 7)**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(0*j - 25*j + 5*j) + (-4 + 0 + 0)*(2*j + 2 - 2) in the form a*j + g and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1 + 7*l - 3 + 0 + 4*l**2. Suppose 3*v - 4 = -7. Let z(q) = -q**2 - q + 1. Calculate v*k(r) - 6*z(r).\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-12\/5)*i)\/i**10)**(2\/95) assuming i is positive.\nAnswer: i**(-46\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 33 = 4*t, 28*t + 2*x - 2 = 27*t. Let v(i) = 30*i + 4. Calculate the least common multiple of v(3) and t.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t**2 - 603*t + 51315 = 0 for t.\nAnswer: -311\/2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -295*s + 4321. What is the tens digit of z(-73)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/5)\/(q*q**8*q)*(q**(-3))**(-28) assuming q is positive.\nAnswer: q**(366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352 + -5986\/17. Sort -1, 17, -2\/5, h in ascending order.\nAnswer: -1, -2\/5, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.98. Let u = -0.18 + y. What is the nearest to 0.2 in -1, u, -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2239, -2, -4, 11 in increasing order.\nAnswer: -2239, -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 27. Suppose -m + h*m + 5 = b, b - 2*m + 4 = 0. Suppose b*y - 78 = -4*y. Calculate the remainder when 49 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1372, 1370, 1368, 1366, 1364?\n\"Answer: -2*h + 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 3*l + 21*h - 64583, h + 107669 = 5*l. What are the prime factors of l?\nAnswer: 61, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3499975561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.107 + -0.007. Which is the nearest to 7? (a) 4 (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let d(f) = 44*f**2 - 6*f - 4. Suppose 196*l = 190*l - 18. Let p(h) = 86*h**2 - 14*h - 9. Let k(n) = l*p(n) + 7*d(n). Determine z(k(t)).\nAnswer: -2500*t**4 + 100*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136.3 - 135.3. Let x = -5 - -13. Let y = -3 + x. Which is the third smallest value? (a) -1 (b) z (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1183\/6 - 197. Put -0.022, -2\/5, -1, o in decreasing order.\nAnswer: o, -0.022, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 1 - 15*i**4 + (-i**3 + 2*i**3 + 2*i**3)*(-2*i + 2*i - i).\nAnswer: -18*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -k + 11, 3*k - 15 - 6 = -2*c. Let z(g) = -g**3 + 7*g**2 - g + 14. Let t be z(7). Put 1, k, t in decreasing order.\nAnswer: t, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 1\/3*d**3 + 1\/2*d**2 + 0 - 3*d. Let i = -24 + 13. Let n(l) = l**2 - 11*l - 5. Give i*v(k) - 2*n(k).\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.6 (b) -2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429072847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3834\/(-1420))\/((-42)\/8))\/(6\/28). Suppose v*h**2 - 8\/5*h**3 + 2\/5*h**4 + 2\/5 - 8\/5*h = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 + 4 = 3*x, x = -4*h + 5. Let i be (3 - -79)\/(2 - h). Suppose -4*y = -3*g + i, 2*y + 2 = 4. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -23*w + 25*w + 922, -1387 = 3*w - 2*y. Let d = w + 575. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:58 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -15 + (17 - -5) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/12)\/(((-15)\/(-60))\/(3\/4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3854*n + 7711*n - 1591 = 3900*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*d - 6*d + 233*d - 115*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1619, -7382, -31743, -79144, -157265, -273786?\nAnswer: -436387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 24. Let s = 6 - q. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4 take away 4.5?\nAnswer: 22.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**5\/20 - p**3\/6 + 2*p**2 - 2*p. Let m(g) = -g + 24. Let f be m(20). Suppose 0 = -2*q - 5*s + 20, f*s = 16. Calculate v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 5, 3386, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 12200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (250\/175)\/(-3 - (-99)\/42). Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 20*i**2 + 190*i - 24. Let v be s(27). Solve v = 2*y - 0*y + t, 0 = -5*y - 2*t + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.7, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133.837 + -134.4. Let t = -0.057 + y. Let k = 45.62 + t. Which is the smallest value? (a) 5 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 23*t\/3 + 22\/3.\nAnswer: (t + 1)*(t + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*p = 380*p - 2863*p - 149712 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -20*k - 11*k + 281, -162*k - 172*k = -338*k + 5*l + 26 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 455*v**2. Let p(o) = -24*o**2. What is 56*p(h) + 3*s(h)?\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a + 23 - 103 = 0. Let q = 5 - 3. Solve a*n = -0*b - q*b + 22, -1 = b - n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 0.1. What is the nearest to 0 in p, -1, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*((c**(-17)*c*c)\/c)\/c))\/c)**(-41) assuming c is positive.\nAnswer: c**(-656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5*q**2 - 4*q**2 - 7*q + 6*q + 8*q**2 as u*q + t + w*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1264890 at most as big as -1264892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**29)\/(o**(-26)*o*o) assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*y - 21, -3*y - 120 = -4*u - 25. Let j = -6 + u. Suppose o - 2*q - 62 = -0*q, o + 4*q - 80 = 0. Calculate the highest common factor of j and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 43*j - 322 + 965 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-16)\/2400*15\/(-12)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (793\/91 + -7)\/((-4)\/(-3766)). Let z = o - 1072. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 75692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143381 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 10\/3*c**3 + 37*c**2 - 31\/24*c**4 + 0*c + 0. Differentiate r(f) with respect to f.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138 + -a1bb?\nAnswer: -a337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10222 + 10222 + 10217 - 51731 - 13*l + 10848 + 10222.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11525 and -5?\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 46. Suppose -14*x = -13*x - q. Solve x = -2*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 8. Let x(s) = -47*s - 235. Let w be x(-5). Put d, -1, w in descending order.\nAnswer: w, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 + 3176*k**2 + 1221896*k - 31182528 = 0. What is k?\nAnswer: -806, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 7 = 22*a + 5*t, 0 = t - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20616484.007 and 5.\nAnswer: -20616479.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 67 + 53. Let o = -2466 + 2481. What is the remainder when i is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + p + (-1 + 1 - 2*p)*(-2 - 1 + 2) + 2*p - p + p)*(5*p**4 + p**4 - 4*p**4).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(528\/4235 - (-4)\/(-22)). Let i be (-28)\/112 + 38\/24. Which is the second smallest value? (a) 0.1 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/(-2 + 30\/9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.8, 1\/3, -81?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -9*j**4\/7 + 3*j**3 + 93*j**2\/7 - 141*j\/7 + 36\/7 = 0?\nAnswer: -3, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445.703 millennia in centuries?\nAnswer: 54457.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4)*f\/(f\/((f*f\/(f*f*f**(-5)))\/f)))\/(f\/((f*f**(-5\/4))\/f)*f*f*((f\/f**(-2\/31))\/f)\/f) assuming f is positive.\nAnswer: f**(89\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-7)\/(-1)) + -6 + (-1508)\/(-300)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428 by 4.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:05 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177984709 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 12) to base 4.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -22, -154, -414, -844, -1486?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(605)*-4*-1 + sqrt(605))**2.\nAnswer: 15116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a**2 + 5. Let b(h) = -8*h**2 + 4. Let r(m) = 75*m - 44. Let y be r(2). Let v = -102 + y. Give v*q(p) - 5*b(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5502827694 + 181.\nAnswer: 5502827875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.385 take away 513669444?\nAnswer: -513669377.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 80 = -2*v + 392, -4*v = -5*r - 953. Suppose -119*b = -116*b - v. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.8847m in millimeters?\nAnswer: 298884.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279\/7*r**2 + 204\/7 - 60*r + 3\/7*r**4 - 66\/7*r**3 = 0.\nAnswer: 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/37 (b) -0.4 (c) 0.02 (d) -0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 51*x + 1438. Let l be g(-28). Solve l*n = -33 - 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/103964 - -523666573\/1975316. Let a = r - 265. What is the second smallest value in a, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Let q(d) = d**3 - 4*d**2 - 2*d - 2. Let g be q(p). Let a = -47 - -73. Calculate the highest common divisor of g and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/4*(420\/(-154))\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 = -i. Suppose -i*l = l. Solve -m = -l*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 - 7*z**2 + 3*z - 18. Does 44 divide q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -20 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 + f + 1. Let o be d(5). Suppose -o*w - 195 = -3*u - w, -195 = -3*u + w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnn. What is prob of picking 2 n and 1 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15966 - 13638 = -4*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17648 - 135?\nAnswer: -17784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/11))**(-2\/3))**(-45) assuming z is positive.\nAnswer: z**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 10. Let h = 26 + g. Solve 0 = -3*s - 5 - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, -0.3, 49, -5, -1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 - 8956*q**4\/7 - 9762114*q**3\/7 + 593772408*q**2\/7 - 471155616*q + 687802752 = 0. Calculate q.\nAnswer: -2268, 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 487552 and 12599?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 23 = -14*r + 15 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110549\/14 - 7891. Find the common denominator of i and -113\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a factor of 3541219296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 19*v**4\/12 + 1571*v. Let d(g) = -g - 5. Let a(b) = -b - 3. Let y(h) = 5*a(h) - 3*d(h). Calculate r(y(f)).\nAnswer: 76*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.9999978 + 52. What is f rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 41 = -3*q - q, 0 = q + 3 - 10 + 5 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326370906 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1004 - 5543?\nAnswer: -10551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -0.4 (c) -0.7 (d) 0.31 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668832 divided by -16.\nAnswer: -41802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -377? (a) -0.03 (b) -0.1 (c) 0.2 (d) 0.1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 583, 560, 511, 424, 287, 88?\n\"Answer: -2*h**3 - h**2 - 6*h + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h. Let k(n) = -1972*n**2 + 2*n + 29. What is k(q(v))?\nAnswer: -49300*v**2 + 10*v + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1230 by 34.\nAnswer: -615\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 117 - 45 = 0. Suppose k = -2*k + o. Let t = k - 10. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 2*c**2 - 7*c + 5. Is l(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3128000 to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**2 + 3*k**2)*(80 + 672 - 311).\nAnswer: 441*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222877017 - -1474226.\nAnswer: 224351243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18555?\nAnswer: 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-28) + 5 + (-129)\/21. Sort -2, 0, g, -60 in descending order.\nAnswer: 0, g, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(70)\/sqrt(2) - (sqrt(35) - (sqrt(210) + sqrt(210)*1)\/sqrt(6) - sqrt(35)))\/(sqrt(55)\/(2*sqrt(396) + sqrt(396))).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/4127 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59554, 59594, 59668, 59776, 59918?\nAnswer: 60094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - -0.54. Put 3\/4, -5, 2, n in descending order.\nAnswer: 2, 3\/4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**2 - 8*y + 9. Let d(z) = -3*z**2 - 4*z + 4. Let o(j) = -5*d(j) + 2*g(j). Calculate o(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znenzqzze. Give prob of sequence zq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1857 - 1837. What is the remainder when 2157 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61058656 * 7\nAnswer: -427410592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + -37524.\nAnswer: -37566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(450)*4)\/sqrt(9) - sqrt(50) - sqrt(50)) + sqrt(50))\/sqrt(10))**2 - ((2 + sqrt(320) + sqrt(320) + sqrt(320))**2 + (sqrt(80) + 3)**2).\nAnswer: -2793 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5b4203 (base 14) to base 7\nAnswer: -35355103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 3006.\nAnswer: -39078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)\/(1\/(-26)). Let m be (-208)\/6 + (-4)\/12. Let w = 48 + m. What is the highest common factor of w and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -14*i**3 + 5*i**2 - 11. Let r(s) = 14*s**3 - 6*s**2 + 13. Calculate -5*r(h) - 6*u(h).\nAnswer: 14*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 3, -0.01503, 2, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 19*o - 67. Give s(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiuiiii. Give prob of picking 3 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322480 is divided by 383?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 38. Let v be 75\/u + (-2)\/(-9). Suppose 51 = -0*c + v*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - 4) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 261.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -1b1d1?\nAnswer: 1b1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 716100450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 z when four letters picked without replacement from {z: 1, n: 8, f: 2, o: 2, h: 5}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -1. Let w = 0.1 + k. Let m = w - -0.1. Which is the closest to m? (a) 2 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3304412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4808 and 5752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 0.2 (c) 3 (d) 0.72 (e) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x - 1. Let u(o) = -119*o**2 - 4*o + 191. Let v(l) = 4*a(l) - u(l). Find the first derivative of v(w) wrt w.\nAnswer: 246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31080886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 11*q**2 - 20*q + 9. What is the remainder when h(8) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*m**4 - m**2 + 370.\nAnswer: 28*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -56. Suppose -2*b + f*b = -3, 5*h - 474 = 4*b. List the prime factors of h.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -97*x + 696. Calculate a(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625709 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -71325\/1079?\nAnswer: -71325\/1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let k(s) = s**3 + 8*s**2 - 2*s - 5. What is the lowest common multiple of y and k(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/((-8)\/(-2) + -2). Let w = 45 - m. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyc when four letters picked without replacement from cllylllylllyllcy.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8274814625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16db - 5?\nAnswer: -16e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 24. Let v = 0 + 22. Let m be r(v). Suppose d - 2*d + j + 12 = 0, 20 = -5*j. Solve 5*o + 2*f = 2, 2*o + m*f - d = 3*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1. Let b(r) = -r**2 + 8*r - 5. Let p be 1 + 6\/(-3) + 8. Let y be b(p). What is the closest to z in 1, y, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-54))\/(-2)*2. Let n be -1 - 1 - (-391)\/189. Let k = n + c. What is the nearest to -1 in 2\/13, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354433 rounded to the nearest one thousand?\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1626, 0.03, -34, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8*-7444.\nAnswer: -28287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 158 = -10*v - 113 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-4\/11)*(l**(-1))**37*((l**(1\/4))**24)**(-27) assuming l is positive.\nAnswer: l**(-199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1010112?\nAnswer: -1010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 126.768. Let q = t - 9.232. Which is the smallest value? (a) 5 (b) q (c) 1\/3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3340 (base 5) to base 3.\nAnswer: 122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5\/6 + 5*l**4\/2 + 5*l**3\/2 - 55*l**2\/6 + 5*l = 0. Calculate l.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/15 - 812*h**2\/15 - 23616*h\/5 + 808704\/5 = 0. Calculate h.\nAnswer: -216, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 21 + 39 = 0. What are the prime factors of (i\/2)\/(18\/3972)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(152)\/sqrt(8)).\nAnswer: -6*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61665*g**2*r - 37*g**2 + 94*r - 10253 wrt g.\nAnswer: 123330*g*r - 74*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 20 = 3*r - 4*d, 4*r = -5*d + 6. Let p = 6 - 2. Suppose 0*l = -l + 4*y + 40, 0 = -p*l - 5*y + 55. Solve 2*b = r*o + l, -4*o - 3 - 5 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17 = -2*j, -5*j = 5*g - 10 + 45. Let w(z) = -12*z - 2. Is w(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 13 + (-20 - -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15684963*c + 4475070 wrt c.\nAnswer: -15684963","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**4\/3 + 9645480*p**3 + 41865906930110*p**2\/3 + 27910575683640*p + 41865849057245\/3 = 0.\nAnswer: -2893643, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let v be t(1). Suppose -v*a - 15 = a. Put 0, a, -3 in decreasing order.\nAnswer: 0, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5947860 rounded to the nearest 100000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 11. Calculate the remainder when 101\/((-15)\/(-20) - (-3)\/12) is divided by i(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6837*-0.4.\nAnswer: -2734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8850*f - 11984*f - f**2 - 3247*f.\nAnswer: -f**2 - 24081*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/2345 in 0.255, -1\/6, 2\/11, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 29. Suppose f = n + 2*f + 10, 5*f - 16 = n. Let b be m(n). Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g + 1 = u, -3*u - 2 = -2*g. Which is the closest to g? (a) 0.4 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.23 minus 1192656?\nAnswer: -1192771.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*t - 6*m + 3, 4*t = -3*m + 7. Let s be (8\/2 + 41)*t. Let k = s - 85. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 0, -23 = -2*l - 5*u - 29 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/77*1\/6*28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 26. Let u(a) = a**3 - a**2 + 3*a + 1. Let v be u(2). Let j be p(v). Solve j*f - 17 = -n - 0*f, 5*n = 2*f - 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c**2 - 459*c + 1680. Let b(t) = -10*t**2 - 305*t + 1120. Let x(q) = 7*b(q) - 5*w(q). Suppose x(g) = 0. Calculate g.\nAnswer: 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -196 in -2\/13, 18\/5, 1\/5, 37, 3\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-126))\/((-2)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 2}. Give prob of sequence mmd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4328542 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2.3, -38, -0.1 in descending order.\nAnswer: 3, 2.3, 0, -0.1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6) - 190\/(-30)) + -1. Suppose a - 17*w - 316 = -16*w, -d*a + 1553 = 4*w. List the prime factors of a.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27058 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2921?\nAnswer: 5\/2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 - z**4\/4 + z**3\/6 + 2*z**2 - z. Let w be o(-3). Solve 3*c = 7 - w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 33*i + 215. What is w(-20)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 + f + 0 - f**3 + 2*f**2 - 3*f**2. Let b(r) = -r**3 + 3*r**2 + 4*r - 5. Let w be b(3). Suppose 5 = 2*j - w*j. Calculate h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjngggbbjg. Give prob of sequence gj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413550 is divided by 572.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (11 - (14 + 7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = 4*t, -q - t - 4 = -2*q. Suppose 0 = 4*y + 5*m - 293, q*y = 2*y + 4*m + 243. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/2*-3*((-222)\/(-36))\/(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.101 + -2.301. Let x = 5 + -7. Which is the fourth biggest value? (a) x (b) w (c) 1\/9 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17791996 is divided by 24306.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/27 and -40\/157509.\nAnswer: 472527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -38.062 and -75262.38222.\nAnswer: -75300.44422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5253*h - 45. Let j(p) = 6*p**2. Determine z(j(t)).\nAnswer: 31518*t**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20535533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58524 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394 less than 3?\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2. Let g(p) = -13*p**2 + 20*p**2 + 2*p**2. Let h(v) = -6*g(v) - 7*j(v). Let q(k) = -49 - 3*k**2 + 110 - 61. Calculate h(q(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4749 - 127*y + 122*y + 4761 - 19007 + 4749 + 4755.\nAnswer: -5*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 4*n - 3. Calculate w(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76743, 71367, 62409, 49869, 33747, 14043?\n\"Answer: -1791*l**2 - 3*l + 78537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from hhhuyhhhuyhhhh?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*s - 3*q, q - 13 = 5*s + 22. Let m be 4\/(-3) + 10\/(-15). Is (-141)\/m*s\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -670*w - 4021. Let d be i(-6). Let a(x) = -57*x**2 - x + 3. Give a(d).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9033 + 9033. Let a(s) be the first derivative of p*s + 9\/4*s**4 + 5\/2*s**2 - 9 + 0*s**3. What is the second derivative of a(x) wrt x?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199733, 199725, 199717?\nAnswer: 199709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -28. Let o(v) = -v**2 + 28*v + 2. Let u be o(t). Let p be 1\/((-10)\/(-4))*-5. Sort p, -3, -1, u in ascending order.\nAnswer: -3, p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7241, -13001, -67953, -174973, -351419?\nAnswer: -614649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -36.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 6*x. Suppose -25*u + 24*u + 39 = -5*m, -5*u - 4*m = 37. Let g(f) = f**3 - f**2. Give u*b(p) + 2*g(p).\nAnswer: 2*p**3 - 5*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 23. Let p(w) = 6*w + 68. What is -14*m(l) + 4*p(l)?\nAnswer: -4*l - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16734720*h**6 + 11491196*h**2.\nAnswer: 2008166400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-1)*(-5 - 5 - -65) is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12\/(l**(-4\/7)*l))**46)**(6\/29) assuming l is positive.\nAnswer: l**(22356\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40341892, -80683781, -121025670, -161367559, -201709448, -242051337?\n\"Answer: -40341889*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 6*i + 11. What is the smallest common multiple of 12 and v(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 248702.\nAnswer: -497404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h. Let y(p) = 2*p**3 - 2*p**2 + p. Let a(f) = -g(f) - y(f). What is the third derivative of a(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420 - 416. Suppose -34 = -2*r - 5*p - 7, -5*r + 77 = 3*p. What is the remainder when r is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5233875097800+-5\nAnswer: 5233875097795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000411 rounded to five dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6 (b) -0.5 (c) 117 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3*t**3*y - 44*j**3*y + 6*j**2*t**3*y - 5*j**2*y wrt t.\nAnswer: 9*j**3*t**2*y + 18*j**2*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h - 34981 = -37213 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5188809?\nAnswer: 3, 431, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {w: 4, k: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.0176261\nAnswer: -0.000176261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42034 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528125 divided by 36225?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 7:47 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/7 (b) 1 (c) -0.12 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**2 + 4019*m - 15929. Calculate l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259311, -260996, -262681, -264366, -266051?\nAnswer: -267736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.832 - -13. What is n rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 433 and 77468896?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52763132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*s = -s - 4, 20 = 4*f - 5*s. Suppose -2*b - 3*b - 5 = 0, 4*t + 5*b - 11 = f. Suppose -4*p + t*w + 26 + 30 = 0, 2*w + 15 = p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 601997, 1204056, 1806115, 2408174?\n\"Answer: 602059*l - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/7)\/((-4394)\/15379)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -337790 + 475773. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 12}. What is prob of sequence ioo?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.99 + -2. Let c = 2.01 + o. Let i = 2.0000003 - c. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p + p**3 + (-4*p + 8*p + 5*p)*(-2*p**2 + 5*p**2 - 2*p**2) to the form q*p + d*p**3 + j + u*p**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6) + -4)**2 + (-5*sqrt(8))**2.\nAnswer: -8*sqrt(2) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a**2 - 4*a**2 + a**2)*(8*a - 4*a - 8*a) + 36*a**3 - 15*a**3 - 20*a**3 to the form t*a**3 + b + z*a**2 + s*a and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87050805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 95\/2. Let x = -1\/203 - 115\/203. Sort x, f, -1\/3.\nAnswer: x, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/14 + (-15921)\/12383.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 2*b)*(0 + 4 - 3)*(-491 + 491 - 669*b).\nAnswer: -669*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 41. Let y = -186 + 188. Calculate the smallest common multiple of t(-6) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2324 divided by -6.\nAnswer: -1162\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/2)\/5*379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-5 - 5) + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01717 - -2.98283. Which is the second smallest value? (a) 2757 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001101 + -1011111011110101?\nAnswer: -1100000101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -25, -1, 76\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - g = 27, -f + 3*f + 4*g + 18 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/4 - 347*j**4\/4 - 11687*j**3\/4 + 143035*j**2\/4 - 171061*j\/2 + 52780 = 0?\nAnswer: -40, 1, 2, 7, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpmmpbmb. What is prob of sequence mm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dc540 (base 14) to base 7.\nAnswer: -4351010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 7, t: 1, i: 1, q: 5, x: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69941378.\nAnswer: 2, 13, 2690053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(539) + 2).\nAnswer: 6 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3204496926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**5\/15 - w**4\/24 + w**3\/6 + 18*w**2. Let s be x(-1). Let i(r) = -4 - 4 + s*r + 7. Give i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*(-2)\/((-12)\/603))\/(-1). Suppose 2*q = 5*f + 169, -3*f + n = 3*q - 0*f. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14936.0000006631 - 14936. Round f to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8127 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5523533928*o - o**2 - 5523533928*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 23. Suppose -l - 4 = i - 2*l, -19 = i - 4*l. Let a be (1 - i) + 3 + -1. Solve a*z + 2 + 7 = 3*m, c*m + 3*z = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 4114?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098083 is divided by 39216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340 + -6115\/18. Let c(v) be the second derivative of 1\/20*v**5 - 7\/36*v**4 + k*v**3 + 5*v - 1\/6*v**2 + 0. Factor c(t).\nAnswer: (t - 1)**2*(3*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 216 + 25*y + 74.\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40302 divided by -3\nAnswer: -13434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*q - 116*q + 4*z - 3580, z - 3568 = -2*q. Let a = q - 1777. Suppose 0*x**2 + 0 + 0*x + 1\/3*x**a + 1\/3*x**4 + 0*x**3 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose -k + 3*k - s = 0. Solve 8 - 343*f**3 + 120*f**2 + 71*f**2 + 103*f**k - 84*f = 0 for f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 18. What is p(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 31. Let g be ((-4)\/5)\/(2\/(-20)). Let i = g - s. Solve -2*h + 6*h - 4 = i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y - 21 = -77*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x + 9. Let r be i(5). Suppose r + 22 = 2*b. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268270781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c**(-2)*c)\/c))*(c*((((c*(c\/c**4)\/c)\/c)\/c)\/c)\/c*c)\/c*c**(-2)*c*c**(2\/7))**(-4\/27) assuming c is positive.\nAnswer: c**(244\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2015 - -3939. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 28\/5 (c) -3 (d) -1\/2 (e) 15\/136 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 5*k - 51. Let x(f) = -f - 10. Let o(q) = -2*i(q) + 11*x(q). Let a be o(8). What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = -12*t + 134885. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2154 and 51138114.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w**3 - 2*w**2 + 2*w. Suppose -s + 5*l - 4 = 0, 11*s - 14*l = 7*s - 10. What is k(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 8*u**2 - 16*u + 27. What is c(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:09 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493787923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/23 in -3\/2, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) -9 (c) -4\/3 (d) 2 (e) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -0.5 (c) -3\/301 (d) 10\/39247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240\/7 < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let f(b) = 2219*b**2. Calculate f(m(c)).\nAnswer: 8876*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-63)\/12. Let y be (-3)\/v*(-1 - 4). Let f be (-24)\/(-224)*-4*(-6 - 1). Is f at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2411 - 1425. Suppose 13*f - 21 = 6*f. What is the third derivative of -968*k**2 + w*k**2 + 12*k**3 - 2*k**f wrt k?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2445 - -4809. Suppose -4*y = s - 2372. Solve 15 = -5*b, 0 = -3*v - 0*b + y*b + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3229582557 - -1742338867. Let w = s + 1487243701.00000031. Let b = 11 - w. What is b rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2073, 2898, 3713, 4512, 5289, 6038?\n\"Answer: -t**3 + t**2 + 829*t + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*z - 6, -4*p - 16 = -2*z + 6*z. Let q be 1*1\/z*0. Factor 1\/2*m + 3\/2*m**3 + q - 1\/2*m**4 - 3\/2*m**2.\nAnswer: -m*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -252 + 256. Let j(y) = y + 6. What is j(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2) + -6 + 5. Let o be (10\/(p + 0))\/(-1). What is the third smallest value in 4, 1\/9, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 14*h + 55 - 159 + 49 - 93*h**2 - 11*h as x*h**2 + c + p*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-21 + 47 - 3) - 32\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**1*v)*v\/v**(1\/8)*v*(v**4\/v)\/v*(v**2\/v)\/v)\/(v**(-2\/9)*v*v*(v**(1\/8)*v)\/v*v*(v*((v**(-1\/4)*v)\/v)\/v)**(14\/5)) assuming v is positive.\nAnswer: v**(121\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 87101169400 to the nearest one million.\nAnswer: 87101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) 29\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3457576707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 976470487 to the power of 1\/2, to the nearest integer?\nAnswer: 31249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29327 = 69*c + 8583 + 9676 + 9343 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 90. Suppose -z + 9 + u = 0. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288150 by -13.\nAnswer: 288150\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 3}. Give prob of sequence sssx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -50*j + 67*j. Solve -2 = -3*f + u - 4, f - j*u + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518165.4km in millimeters?\nAnswer: 518165400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159863 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 10. Let b = -5 - -9. Let s(z) = -6*z**2 - z + 2. Let u be s(b). Let i be (-2)\/(-7) + (-756)\/u. Give p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - 7) + -14 + -16 + 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 35870 = -18*t. Round t to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112282 and 387554?\nAnswer: 3622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 6*f + 7. Let c be z(5). Let i be ((-2)\/4)\/((-2)\/8). What is the remainder when 3 is divided by (-3 + i)\/((-1)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219279 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3 + 5. Which is the biggest value? (a) -0.3 (b) 6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 124*m - 12 + 119*m - 3*m**2 - 3*m**2. Let z be l(7). Put z, -0.3, -30 in descending order.\nAnswer: z, -0.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1\/4, 5 in ascending order.\nAnswer: 1\/4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b. Let f(a) = 22*a**2. What is t(f(w))?\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1752*r - 13312. Does 32 divide t(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 27368*y - 15 - 1875*y**2 - 27368*y as m*y**2 + q*y + u and give m.\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19.51313 micrograms?\nAnswer: 0.00000001951313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 86.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.35 - 0.05. Let h = 5.8 - 6. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.16 - -90.16. Let h = 39 - i. Let k = h - -48.978. Is -1 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/82 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 + 7*h**4 - 15*h - 21091205 + 21091205 to the form g*h**3 + j*h**2 + u*h + b + c*h**4 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5382*i**3 + 5370*i**3 - 10762*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0452? (a) -2\/11 (b) -0.2 (c) -1 (d) -5\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1813*r. Let q(l) = -4*l + 11. Determine m(q(a)).\nAnswer: 7252*a - 19943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(912) - (sqrt(912)*-1 + sqrt(912)) - sqrt(912))*3)\/(sqrt(108)*-2*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16801819603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1273*x - 513014. Calculate c(-403).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589 is divided by 459?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -9 - 3. Let n(d) = 10 + 5*d - 4 - 7 - 4. Let h(w) = w**3 + w**2 + 4*w - 6. Let i(p) = c*n(p) + 5*h(p). Factor i(b).\nAnswer: 5*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 12071?\nAnswer: -12056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/(-46))\/(-23 + 22). Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2124, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13*b - 4. Let m(x) = -2920*x. Give m(i(y)).\nAnswer: -37960*y + 11680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 13. Let y be ((-4)\/(-8))\/((-2)\/(-80)). Suppose -13 = 3*j + x + 3*x, 5*x + y = 0. What is the remainder when j is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 123.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13038193 or -13038196?\nAnswer: -13038196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3717 by 1239.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = -4*u - 34, -5*u = -l + 16. Let t = -2 + l. Let z = -3 + t. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5019 - 641. Let n = -2993 + s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 2*o - 24. What is the remainder when a(-6) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (-2)\/2 + 41006\/(-38380) and 33\/95.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 53 - 65. Let m = 59 - f. Let n be -6*(10\/(-15) - m). Solve 4*g + v = -6 + 23, 4*g - 20 = -n*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 1. Let m be v(-1). Suppose m = 2*s + 3*s - 10. Solve -3*i - 20 = s*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/835237 and 14\/47480011?\nAnswer: 617240143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 923443343 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 110269?\nAnswer: -86\/110269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54059\/5 - 10811. What is the second smallest value in c, 2\/1001, 7, -1?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78242131 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 15*c - 12. Suppose 0 = c*v - 2*m - 1 + 23, v + 14 = 2*m. Let a(s) = -s**2 + s + 1. Calculate a(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9835, -9832, -9829, -9826, -9823?\n\"Answer: 3*n - 9838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.572549 take away 81654?\nAnswer: -81793.572549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 85708 * -22.48\nAnswer: -1926715.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/42 and -36\/25361.\nAnswer: 152166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9090)\/90)\/(-202)*30\/3*-14?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -52. Which is the second smallest value? (a) 1 (b) 22 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqqrhvryhyh. What is prob of picking 3 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -62 (b) 0.2 (c) 1\/4 (d) 845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 j when three letters picked without replacement from lprjxpxprrrrxrpxrrrp?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55500852, -55500844, -55500830, -55500810?\n\"Answer: 3*v**2 - v - 55500854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -1 (c) 0.3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - 0) - (-73 + 68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 21*b**3 + 2*b**2 - b + 3. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4645*y - 2100 = -4595*y for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58980135 - 58980135 - 9*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*-32573028.\nAnswer: -1237775064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 93*n - 6 - 98*n.\nAnswer: -5*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 15\/(-6) - 14\/(-4). Let z = 65 - 25. Solve -z = k + 3*k + p*w, -2*w = k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*p - 3*p + 4*z, 3*z = -3*p - 9. Suppose 0 = -0*l - 2*l + 4. Let a be 4\/l - (-4 - -3). Solve -a*x = -p*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295659 and 17641.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -2*o**5\/45 - o**4\/18 + 2*o**3\/27 + o**2\/9 + 15. Find q such that d(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -241*t**2 - 1. Let x(m) be the second derivative of 0*m**2 + 0 + 279*m + 0*m**3 + 1\/6*m**4. What is x(c(i))?\nAnswer: 116162*i**4 + 964*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 200305817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035863897 to seven dps.\nAnswer: -0.0003586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 30*z**2 + 235*z + 35. Let h(x) = 10*x**2 + 79*x + 10. Determine -7*h(b) + 2*s(b).\nAnswer: -10*b**2 - 83*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 767, 3045, 6837, 12143?\nAnswer: 18963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 19*y**3 + 49*y**2 - 14*y. Let l(s) = -18*s**3 - 46*s**2 + 12*s. Determine -14*l(m) - 13*z(m).\nAnswer: 5*m**3 + 7*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.86 times -4.3\nAnswer: 3.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58204, -58203, -58202, -58201, -58200?\nAnswer: -58199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 170, 333, 498, 665, 834, 1005?\n\"Answer: x**2 + 160*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13021 divided by 6\nAnswer: -13021\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a millennium?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 13. Let i = -18 - -24. Let k be b(i). What is the second biggest value in k, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 3, m: 3, k: 1}. What is prob of picking 1 k and 2 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595799 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -243, -5, -1035, 1\/9 in increasing order.\nAnswer: -1035, -243, -5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:41 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2775\/36)\/(-25) - -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17693*c**5 - 28*c**4 + 2*c**3 - 327*c**2 + 2235 wrt c.\nAnswer: -1061580*c**2 - 672*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -645 + 649. Suppose 346 = y*z + 334. Let b(v) = v**2 - 5*v - 7. Give b(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -12. Let h be 204\/15 + (-2)\/(-5). Find the common denominator of 46 and (-150)\/h - 6\/k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + 12.6738\nAnswer: 12.7038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000598803659 to 5 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*x - 3, x + 10 = -4*r - 0*r. Find t such that -2\/7 + 4\/7*t - 2\/7*t**x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3\/5 (c) -0.1 (d) -8.9 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*22*47\/(-103917)*12\/(-80)*-4?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 19*x**2 - 61*x + 116. Determine f(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.63 and -43.\nAnswer: -242.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2259 + f88?\nAnswer: -12d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3486 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2149*n**5 - 2034*n**2.\nAnswer: -128940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 19 = -3*m, -2*m - 4 = 2*d. Let i = m + 9. What is the remainder when 69 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-12)\/54)\/2. Let m = -116.2 + 116. Which is the third smallest value? (a) r (b) -2 (c) m (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -999, -4519, -10541, -19059, -30067, -43559, -59529?\n\"Answer: q**3 - 1257*q**2 + 244*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -971939*l + 25270412. What is y(26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1377)\/(-8))\/27 - (-6)\/(-16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -19*c**4 + 5*c**2 - 5*c + 38. Let f(z) = -18*z**4 + 6*z**2 - 6*z + 39. Let y(m) = 6*d(m) - 5*f(m). What is the first derivative of y(r) wrt r?\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 173?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645005 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/5 + 31\/15. Let s(u) be the second derivative of -u**4\/12 - 7*u**3\/6 - 3*u**2 + 2*u. Let y be s(-5). Sort -0.3, y, c in decreasing order.\nAnswer: y, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12332590?\nAnswer: 2, 5, 1233259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Let g = 4 + m. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8720.998267 + -8721. Round z to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 16*u - 126 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x + 16. What is the remainder when i(-9) is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6872093 to the nearest 10000.\nAnswer: -6870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -5*t + 1056. Let z = 421 - t. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 914492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3762152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2495 or -2496?\nAnswer: -2495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-12)*v)\/v)\/v*v*v\/((v\/((v*v**(-22)\/v)\/v))\/v) assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3729 - -5917. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*s**5 + 348*s wrt s.\nAnswer: 2980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44450 is divided by 132?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**4 + 219*c**3 - 318*c**2 + 105*c = 0.\nAnswer: 0, 1\/2, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79337132 and 2870?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 116\/24*27\/24 and 63\/46?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17688 >= -17686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1010110010111 (base 2) to base 15\nAnswer: -1987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12272 and 2301.\nAnswer: 36816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/5 + 13404*x\/5 - 9610024\/5.\nAnswer: 4*(x - 607)*(x + 3958)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 3*v**3 - 2*v - 3 + 2*v**4 - v**4 + 0*v**2 - v**2 in the form d*v + b*v**2 + r + f*v**3 + c*v**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {f: 8, c: 3, g: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-918)\/(-108) + (-8120)\/520?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*o + 222 - 1510 = 1507 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -379. Solve -5*n + 15 = -4*i - u, 0 = -4*i + 2*n - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v - 6683. Let t(b) = b**2. Determine t(g(z)).\nAnswer: 196*z**2 - 187124*z + 44662489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - q = -118599, 31*s = 28*s - 2*q + 71165. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 2. Is 7 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*j + 3 = 0, -14 = 23*p - 22*p + 5*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 7. Let t be x(7). Suppose t = -r + 3. What is the greatest common factor of 12 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 358934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1691 or -0.037?\nAnswer: 2\/1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.35 and -18.163.\nAnswer: -60.84605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 770*p + 1516. Give z(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -184*g + 189*g + 6, 2*y + 8 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30764, 61388, 91860, 122186, 152372, 182424, 212348?\nAnswer: 242150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2, 0.5, -5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8 = -2*f, 8*i + 22 = 4*f + 6*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 3072?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/90*16\/6*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 9 + 11 + 5 + 2. Let m be f(10). Are -3 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w**2 + 7*w**2 - 17*w**2)*(6*w - 277*w**2 - 3*w**3 + 277*w**2).\nAnswer: 84*w**5 - 168*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-22))\/((3636\/216)\/(-101)).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*q - 86*q - 703 = -55 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 94 = -664. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -27453?\nAnswer: -1\/27453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 4*l + 3*l - 3*l. Let z(t) = -1287*t. Let q(v) = -99*v. Let w(h) = -27*q(h) + 2*z(h). Give w(c(s)).\nAnswer: 99*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 515\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 2*b + 6, b = -5*g + 2334 - 2337 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 74.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7 = -b, -3*b + b = -4*c - 18. Suppose -2 = 5*o + z - 10, 2*z - 2 = 4*o. Is b > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 - 2*h - 5. Let z be i(-5). Calculate the remainder when (z*-2)\/((-6)\/15) is divided by -2 - 30*6\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 - 10*c**4 + 6*c**3 + 10*c**2 - 8*c.\nAnswer: 2*c*(c - 4)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/3 - 12*p. Let b(i) be the second derivative of 0*i**3 + 0*i**2 - 1\/6*i**4 - i + 0. Give a(b(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2815784?\nAnswer: 2, 29, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -4*n - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.158117ms in microseconds?\nAnswer: 3158.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 41\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-8))\/((-1)\/(-8)). Let h be 7 - w*(-2)\/4. Solve 0 = -z - z - 6, -4*z - h = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21484 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {o: 16, q: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -65295137209 take away 0.1?\nAnswer: -65295137209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 2, e: 1}. Give prob of picking 2 c and 1 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/66 + -5\/11. What is the closest to 1\/3 in 13\/3, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 30*q - 33*q - 24, -2*z = -4*q - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 35335384?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 30. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 4723096834?\nAnswer: -4723096827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*r = 13, 16 - 1 = d + 5*r. Differentiate -f - d + 2*f + 3 + 3*f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -368*i + 1054*i - 393*i - 3516 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -16*l - 95 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/((-6)\/(-297)*(-1738)\/(-79))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 10, 3*w + 36 = -5*m - 7. Let j(y) = -4*y**2 + 4*y - 10. Let g(d) = -d**2 + d - 1. What is w*g(h) + j(h)?\nAnswer: 2*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 214171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/110 and -123\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2785, -2879, -3057, -3319?\nAnswer: -3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnfvxmxfyfyfxyxvmff. What is prob of sequence fxm?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0.15643?\nAnswer: 5.15643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16634319 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i, -257*a - i - 31 = -253*a + i + 57 + 28 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - 121. Let l(x) = 4 - 38*x - r*x + 76*x. Determine l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -7396?\nAnswer: -7396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12234*q. Let b(y) be the third derivative of -y**4\/24 + 2*y**2 - 10*y + 26. Determine r(b(g)).\nAnswer: 12234*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3*a**2)*(0*a**2 - a**2 + 0*a**2) + 3*a**4 - a**4 + 4*a**4 to n*a**4 + z*a**3 + h*a + b*a**2 + o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apmpaahmmmappappaa. What is prob of sequence maph?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 - 10*k**3 - 2*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 29*n**2 - 66*n + 224. Calculate f(7).\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by -73\nAnswer: 93\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57 + 97*s + 28 - 72 + 141*s - 2*s**3 - 140 wrt s?\nAnswer: -6*s**2 + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106859\/10 - -10697. Calculate the common denominator of s and -103\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/6 + u**3\/3 - 7*u**2\/2 + 2017*u. Let b(q) = -3*q**2 + q - 1. Let t be b(1). Let k be s(t). Let d(p) = p - 3. Give d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**32)**11*o*o*o**25*o**(-35)*o assuming o is positive.\nAnswer: o**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*v**2*w**2 + 2*v**2*w - 237*v**2 - 289*v*w**2 - v*w + 99*v + 48*w**2 wrt w.\nAnswer: -8*v**2 - 578*v + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1189166, 1189121, 1189066, 1188995, 1188902, 1188781, 1188626?\nAnswer: 1188431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3 - 4*o - 3. Let c(i) = 7*i. Let g = -109 + 115. Let q(k) = 15*k. Let u(j) = g*q(j) - 13*c(j). Determine u(w(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -336166512*f**2 + 262609358.\nAnswer: -672333024*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63961 or 319809\/5?\nAnswer: 63961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and 3639?\nAnswer: 3638.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-23)\/((-1656)\/(-189)))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2326001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t. Let o(v) = -10*v + 1. Suppose 18*s + 1 = -35. What is s*o(l) - 7*a(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*l**2 - 307*l**3 - 382 + 194 + 188 wrt l.\nAnswer: -1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2495.\nAnswer: -9980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*i = -13, 4 = -b + 4*b - 5*i. Suppose -b*z + 4*z - 13 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -73*n - 134. Calculate the remainder when j(-16) is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6*d + 34 = 0. Suppose 4*c + 33 = 5*a, -a + 4*c - d = -6*a. What is the second smallest value in a, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6148)\/(-1007) - 4\/38?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*y - 8 = 4*r + 215*y, 4*r + 5*y + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -39670.7 at most -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15*((c*c**26)\/c)\/c)\/(c\/c**(-1)*c*c)**(-15) assuming c is positive.\nAnswer: c**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*y + 25, -a - 3*a - 10 = -y. Let l be (1 - 1)*(-1)\/y. Suppose 0 = -g - l + 10. Calculate the greatest common divisor of g and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 530 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 87, 61, 3, -99, -257, -483?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (0 + -4)) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(0 + 1 + 1) - 4 + 3 - 5 - 2 + 7 - 3 + (3 - 2 - 2)*(5 - 4 - 2) + 6 + 45 + 27)*(4 - 2*t - 4).\nAnswer: -146*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 2\/299?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/9)\/7 - (1 - 4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1320*j + 1236*j + 1512 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.3 + 83.7. What is the second biggest value in 2\/3, n, -2.63, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329576 smaller than -329631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 542*q**3 + 6*q**2 + 34*q - 19. Is c(4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 6*q - 47. Solve q*v - 25*v = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595328 - 311952 = -55*f. Does 59 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 + 2*w**3 - 40*w**3.\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 2 o when four letters picked without replacement from {l: 4, t: 7, o: 2, a: 2, i: 1}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 + 8 = 0. Let f be (-6)\/(-4)*(-8)\/i. Let k = 0 - 1. Which is the second biggest value? (a) k (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 15*s = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64 - -70)*1\/2. Let y(g) = -g**2 + 1. Let f(h) = 3. Calculate s*f(m) - 6*y(m).\nAnswer: 6*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1110 and 85\/666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 829\/16605 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 22*u - 30*u + 177 = 0, 3*f + 81 = 3*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**5\/60 + 2*i**3\/3 - 1. Let c(k) be the third derivative of q(k). Let f(j) = -3*j. Determine f(c(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 3*u + 5. Let i be r(4). Let o be (-1 - -3)*i\/10. Let w(a) = a - 4. Let s be w(7). Solve -o*h + 4*g + 9 = s, 5 = 4*h - 3*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/49264 and -51\/44.\nAnswer: 541904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132659.\nAnswer: 53, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 10*q - 2. Let l be ((-1)\/33)\/((-1)\/(-6)). Which is the nearest to 4? (a) l (b) -1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723435 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160\/756 + (-4)\/14. Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216444*p**2 - 230585 wrt p?\nAnswer: 432888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10366 = 223*u - 108 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 120*q + 121. Let i be c(-1). What is the third smallest value in 65, 23, i?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 35. Give p(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f - 1. Let a(l) = l**2 + 2*l + 2. Let u = -33 - -39. Suppose 0*k - 3*k - 5*s - u = 0, -3*s + 8 = -4*k. Determine k*h(v) - a(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-8))\/((-3)\/12). Let a - 84*w**3 + 1 - w - 3*w**2 + 85*w**3 = 0. Calculate w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least as big as 22824088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a - 4*a - 1170 = 0. Let g(i) = -98*i + 131. Is g(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1075, -5, -1, -3 in increasing order.\nAnswer: -1075, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -318*w - 31. Let j(r) = 953*r + 98. What is 19*g(y) + 6*j(y)?\nAnswer: -324*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 38*k - 206. Let y be p(-29). Suppose -11*s = -10*s + 2*a - 57, -s + y = a. What is the highest common factor of 265 and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 392586*m - 392592*m + 3 + 61*m**2 - 5*m**3 as a + y*m**2 + g*m + h*m**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 2, p: 2, k: 1}. What is prob of sequence pf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-784)\/294)\/(4\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6395 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 445.85\nAnswer: 178.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 755.998508 - 756. Round n to 5 decimal places.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 464, -0.08552?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 36*x - 308. Let q be n(22). Let g(c) = 3*c + 8. Let y(w) = -w**2 + 4*w + 2. Let i be y(5). Let d be g(i). Put -2, q, d in descending order.\nAnswer: q, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:17 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32\/(1\/1616*8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 148*n. Let t(q) = 13*q**2 + 590*q - 1. Determine -9*o(w) + 2*t(w).\nAnswer: -w**2 - 152*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by -2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 9. Let t(w) = -1 + 3 - 5 - 1. Let k(d) = -3*a(d) - 5*t(d). Differentiate k(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 13. Let g be i(-13). Suppose -5*s + z + 3145 = 0, 3*z - 629 = -g*s - s. Suppose 2*b - 79 = -4*f + 769, 2*b = 3*f - s. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + 15. Suppose -z + 3*i + 69 = 0, -g*i = -5*z + 4*z + 69. Let j = 256 - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -138. Let x = 36 - u. What is the closest to x in 0.3, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 32*b - 1332. Let w be x(67). Calculate the highest common divisor of w and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 46452725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1175 + -1174.9. Let u = -0.81 - 9.19. Which is the closest to u? (a) 0 (b) -0.4 (c) -1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z. Let k(d) = 3*d**2 + 2. Let r(y) = 4*y**2 + 3. Let x(o) = -6*k(o) + 4*r(o). What is h(x(s))?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-29\/3)*m)\/m*m**(-31)\/m)\/((m*m*(m\/(m\/(m\/((m\/(m\/m**(-15\/4)))\/m)*m)))\/m)\/m*(m\/(m**36\/m)*m)\/m))**(-1\/45) assuming m is positive.\nAnswer: m**(173\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 78*f - 73*f - 1398, 0 = 4*c + 12. What is the fourth smallest value in -0.1, -2, -5\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 53*v + 57. Let n be r(54). Solve -3*a - 9 = 2*a - n*c, -2*c = -5*a - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -60. Let l = 8 + -7.45. Let i = 0.05 - l. Which is the second smallest value? (a) i (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/9 + 311*x**3\/9 - 23752*x**2\/9 - 36400*x\/3 + 735488 = 0?\nAnswer: -17, 16, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 5590*h**2\/7 - 5592*h\/7.\nAnswer: 2*h*(h - 2796)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {o: 3, e: 3, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 0*l**3 + 10*l + 2 - 2 to the form y*l + h + v*l**3 + g*l**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 3. Let o(q) = 2*q**2 + q - 3. Let j(x) = -3*x**2 - x + 4. Let t(f) = -3*j(f) - 4*o(f). What is the smallest common multiple of t(i) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*c = -46, 0 = a + 3*c + 2*c - 11. What is the least common multiple of a and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 79*v + 473. List the prime factors of b(39).\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 15629?\nAnswer: -15625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - 2*u, -4*r - u = u - 18. Suppose -5*z - 64 = r*x - 2*z, z - 4 = 0. Let s = 21 + x. Solve 2*v = -4*g - 2, 5*g + 4*v + s = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 + 1 + 0*h - h + 4*h**3. Let d(c) = 4*c**3 + 5*c + 9. Let l(u) = d(u) + 5*q(u). Is 7 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**3 + 5. Let b(c) = -c**3 - 1. What is 5*b(l) + s(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 393*q**3 - 2*q**2 - 17. Let r(s) = -s**2. Determine 2*r(o) - t(o).\nAnswer: -393*o**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 18 = -18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 109*w**3\/3 + w + 39. What is the derivative of g(p) wrt p?\nAnswer: 218*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 - h**2 + h**2 + (-5*h**2 + h**2 + 6*h**2)*(3 - 4 + 0))*(2 - 2*h**3 - 2).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 270949255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39265.\nAnswer: 5, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1331) + (sqrt(99)\/sqrt(36))**2.\nAnswer: -11*sqrt(11) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2. Let p(g) be the second derivative of -g**7\/1260 - g**6\/80 + 47*g**4\/6 - 9*g + 10. Let x(o) be the third derivative of p(o). What is w(x(s))?\nAnswer: -20*s**4 - 180*s**3 - 405*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57650398397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 4. Suppose -79*y = -81*y - 4. Let i(c) = 5*c - 9. Determine y*i(w) - 5*o(w).\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 11712.\nAnswer: -5856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 222292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/5 - 2 - 2\/(-2). Which is the fourth smallest value? (a) 2 (b) -2\/5 (c) -4\/5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = 10*r + 91*r + 632 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -16*a**3\/3 - 7*a**2 + 7. What is the second derivative of f(p) wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 37 = -16*n. Is (n + 19)\/((-3 - 0)\/(-60)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x**3 - x**2 - 2*x - 54. What is o(0)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9729669*q**5 - q**2 + 4014715*q.\nAnswer: 583780140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756.6 less than -0.5?\nAnswer: -4757.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*d + b + 5, -2*b = -2. Suppose 2*u = 4*k - 10 - 10, 3*u + 6 = d. Suppose 2*q = -k*h + 4, 2*q + 4*h = -q + 6. Solve x = -x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307673140 and 5458717?\nAnswer: 3384404540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -0.1, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*sqrt(63) + (2 + sqrt(63) + sqrt(7))**2 + (sqrt(7) - (1*sqrt(700) + sqrt(7))).\nAnswer: -6*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6103)\/(-2))\/(6\/24). Suppose -13760 = 5*c + 4*j + 6562, 4*j - f = 3*c. Is c\/(-12) - 11\/(-66) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40769 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:07 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - -322?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w. Let d(y) = 4*y**2 - 4*y**2 - 8*y**2 + 6*y**2. What is d(p(q))?\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.1. Let h = 10635469\/21 - 506161. Let j = 290 - h. What is the nearest to z in -4, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**5 + 4*o**4 - 4*o**4)*(-7 - 12 + 7 + (3 + 1 + 1)*(-1 + 5 - 3)).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3251\/66 + -309\/11. Find the common denominator of 1 + 110\/(-12) + -2 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**8\/84 - i**5\/15 + i**2\/2 + 4. Let x(q) be the second derivative of f(q). What is the third derivative of x(y) wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1837506*b. Let z(t) = 12862540*t. Let c(s) = -20*u(s) + 3*z(s). Let g be c(4). Round g to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 17 = 3. Let a be b\/(-28) - (-4)\/(-14). Let f = 37\/70 - a. Do -1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47289512 or 141868537\/3?\nAnswer: 141868537\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1852, 242, 3, -6, 4 in ascending order.\nAnswer: -1852, -6, 3, 4, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8849310 and 61\/22123275?\nAnswer: 44246550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101043200 to the power of 1\/2, to the nearest integer?\nAnswer: 10052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 188 = 2*c, -5*c - 24*i = -26*i - 452. What is the highest common factor of 644 and c?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6*(-4)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, 33 in decreasing order.\nAnswer: 33, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15278.7395 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17975001 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6) + 2)*(3 - 0). Suppose -n*q - 5*i + 280 = 0, -q + 3*i = -6*q + 274. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:01 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*j - 28. Let f = 8 - j. Is (-2)\/1 + f + 1950 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 12) in base 5?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7556, -7562, -7580, -7616, -7676?\n\"Answer: -a**3 + a - 7556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.52, -3, 3620 in decreasing order.\nAnswer: 3620, 4.52, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Let o(a) be the second derivative of 0 + 0*a**v - 1\/6*a**4 + 2*a + a**2. Differentiate o(k) with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*f**2 + 277*f**2 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1389.14983 + 1387.19. Let x = b - -1.96. Round x to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -120123?\nAnswer: 120131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(12\/11)*o**(-19) assuming o is positive.\nAnswer: o**(-197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -484*x**4 - 31878264*x**3 - 1725806196*x**2 - 312992576*x - 14214960 = 0.\nAnswer: -65810, -54, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29716563 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10) - -3)*(-9174)\/(-695)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqggtqq. What is prob of picking 1 t and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 48. Solve t*j = -4 - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 3. Let d be a(8). Suppose -2*t = -4*n + 53 + 2665, d*t - 2739 = -4*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253286 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {x: 2, o: 4, k: 1, s: 1, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180\/(-40)*(-77000)\/66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15933*h**3 - 87*h**2 + 4*h - 27824415.\nAnswer: -47799*h**2 - 174*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -26*x - 185. Determine h(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*i + 10 = -28, -4*p = 5*i + 49. Let f be 5\/(-25) + 754\/65. Let x = f + p. What is the smallest value in -3\/7, 4, x, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290 >= 327336\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311 + -20323?\nAnswer: -21134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36c (base 13) to base 16\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -330*i. Let k(w) = 4*w - 12. Let c(t) = -18*t + 56. Let u(v) = 3*c(v) + 14*k(v). Calculate u(y(f)).\nAnswer: -660*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 + f - 1. Let b be o(7). Calculate the remainder when (3 - b)*1\/((-6)\/52) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 935 = 3*g - 5*w, -w = 5*g + 919. Suppose -2*k + d - 266 = 0, 2*d + 239 + 408 = -5*k. Let p = k - g. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Solve 3*j = -2*i - 14, g*i + 3*i = 4*j - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 50 + 4. Let l(i) = i**3 - 2*i**2 - 7*i + 8. Let f be l(u). Let a(r) = -2*r - 2. Let c be a(-6). What is the highest common factor of c and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61171 is divided by 450.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1176570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(30)\/sqrt(3)) - (-1 + sqrt(1053))**2.\nAnswer: -1054 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/40 + 5*o**4\/4 - 19*o**3\/4 + 3*o**2 - 22*o + 186. Let y(g) be the second derivative of q(g). Factor y(w).\nAnswer: -3*(w - 19)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 85. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110 + 111?\nAnswer: 10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 840 and 112?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 1aa4?\nAnswer: -1a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/42 and 151\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 620\/3 + -208. Let r = -32 + 33. What is the nearest to r in a, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 89600, 89440, 89280, 89120, 88960, 88800?\n\"Answer: -160*l + 89760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 times 0.305\nAnswer: -0.08235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 316 - -321954?\nAnswer: 322270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2048111 + -18406088\/9. Let z = y - 2993. What is the common denominator of 49\/3 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.78155 litres?\nAnswer: 3781.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 2*i. Let k(f) = 7*f + 2. Is 10 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.69 and -0.4?\nAnswer: -1.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/120 + 3*c**5\/20 - c**4\/24 - 3*c**3\/2 + 24*c**2 + c. Let w(i) be the first derivative of p(i). Calculate w(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**6\/40 + 31*t**5\/120 + t**3\/3 + 15. Let r(h) be the third derivative of o(h). What is the second derivative of r(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 55, 51?\n\"Answer: -4*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*w + 6*w + 168 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887824 is divided by 12683.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011001001010010 + 1001000110?\nAnswer: -100011011000000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbbblrnbnprbrnr. Give prob of picking 2 b and 2 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*j - 2*b - 13 - 11, -4*j + 5*j - 3*b = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1460060044?\nAnswer: 1460060042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 32. Let n be 4\/(-3)*15\/f. Put -5, 3, n in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 509 - 4*j + 165 + 113 + 125.\nAnswer: -4*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/15))\/(l*(l*l**(-11\/4)*l)\/l*l))\/(l**(-30))**13 assuming l is positive.\nAnswer: l**(23437\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -256*q**6\/5 - 3029*q**2\/2 + 585*q. Differentiate c(j) wrt j.\nAnswer: -6144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*a*u**2 + 271*a*u*w**2 - a*u + u**2*w**2 - 1896*u**2*w + u*w**2 + 2*w**2 wrt a?\nAnswer: 23*u**2 + 271*u*w**2 - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m - 2. Let w be z(2). Suppose 4*u - w = 3*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**2*v**2 + 2*u**2*v - 2*u**2 + 7219519*u*v**2 - 21*u*v - 2060*u + 12*v wrt v.\nAnswer: -2*u**2 + 14439038*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 267 + r + 598.\nAnswer: r + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.343838ng in milligrams?\nAnswer: 0.000004343838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14900*i - 15 - 14883*i - 11557*i**2 + 29786*i wrt i.\nAnswer: -23114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592335965 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151.5 + 125. Let y = u - -37.4. Let o = y - 10.9000069. Round o to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflqfvsq. What is prob of sequence qs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(3024\/(-23520))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/17 (b) 6 (c) -2\/161 (d) 5 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-3*sqrt(2299) + sqrt(2299) + -4 - sqrt(2299)) + sqrt(2299))*-2)**2 + (-3*(sqrt(2299) + 0 + sqrt(2299)*1))**2)*-6 + -5.\nAnswer: -717677 - 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 156 + -2?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-9))\/((-16)\/(-12)))\/(4825\/1544)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Suppose 0 = -o*u + 40 + 122. Calculate the greatest common factor of 135 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1125*q + 3*q**3 + 562*q + 561*q + q**2 + 20 to the form l*q**3 + t*q**2 + i*q + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 28*k + 7. Let q(y) = 19*y + 5. Let f(g) = -7*q(g) + 5*x(g). Let o(m) = -2*m. Calculate f(o(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 37 + 103 = 0. Let n(l) = 15*l**2 - 1. Let g be n(-1). Calculate the greatest common divisor of g and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f**2 + 9*f + 6. Let m(j) = -18*j**2 + 21*j + 14. Let c(g) = -3*m(g) + 7*o(g). Let n(r) = 403*r + 2. Give n(c(v)).\nAnswer: -806*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*(l*l**(-16\/3))\/l)*l)\/((l**15\/l)\/l))**(-1\/6) assuming l is positive.\nAnswer: l**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271*-326.\nAnswer: 88346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 33 = -3*a, -4*w = -5*a - 5 + 55. Let t be (a\/3 + 2)*12\/(-16). Let y be -3199 - (4 - (t + 8 - 2)). What is y rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.38 and 328.538?\nAnswer: 453.38244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236*-119.7.\nAnswer: -28249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + -5 + (-2355 - -2381)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27747741 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.98 (b) 309 (c) -2 (d) 3 (e) -8\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677044*s**2 + 2 - 5 + 3.\nAnswer: 677044*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -60. Suppose 22 = 9*y + n. Let o(k) = -2*k + y*k + 21*k**2 - 35*k**2. Let i(q) = -2*q**2. Determine i(o(d)).\nAnswer: -392*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 15) + 1 + (-32 - (-20 + -47 + 31)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -559, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 155*g - 58*g - 48*g - 3 - 53*g.\nAnswer: -4*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -1026 + 243. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*c + 22*c + 20*c)*((-2*c + 1 - 1)*(-c + 2*c + c) + (0*c + 0*c + 2*c)*(-2*c - 2*c + 5*c)) in the form k*c**3 + n*c + u + d*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -3, 23, 67, 135, 233, 367?\n\"Answer: o**3 + 7*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 - 51*r + 5 - 6.\nAnswer: -51*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -74525?\nAnswer: -1\/74525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.1 - 45.0764. What is k rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k + 7*k**2 + 0*k**2 - 11 + 2*k - 4*k**2. List the prime factors of r(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.569868 + 0.428792. Let v = -16.8 - 0.2. Let o = v + u. What is o rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {s: 13, c: 3}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 4092 = -5*h. Let l = 376 + h. Solve 0 = 5*b + l*w - 22, -2*b + w = 3*w - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 + 0 = 0, -11 = 2*m + 3*b. What is the units digit of 15915\/35 + m + 4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(18\/(-4) + 1). Let r = f + 8. Let a be -3 + (5 - 2)*r. Solve 8 = -2*t - a*t - 2*m, -3 = m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3816*n + 11*n**2 - 3816*n. Let q(h) = -6*h**2. What is b(q(k))?\nAnswer: 396*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x + 18. Let k be r(5). What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 4*t - 1. Suppose f - 2*b = -3*f - 314, 0 = -5*f + 5*b - 405. Let l = 72 + f. Calculate u(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-15) - (-7)\/3. Let t be l\/(-2)*28\/(-6). Solve t*i + 12 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**3*m**3*p + 11055*b**3*m*p**2 - 2*b**2*m**3*p**2 - b**2*m**3*p + 5*b*m**3*p + 1892*m**2*p**2 wrt b.\nAnswer: 36*m**3*p + 66330*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/2 (b) 14 (c) -2\/19 (d) 3 (e) 202\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23000*j + 7015*j + 15943*j + 1.\nAnswer: -42*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29529465 is divided by 88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15365851 by -5.\nAnswer: -15365851\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*p - 10945 - 16550 = 0 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11810193541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/60 - y**5\/30 - y**4\/24 - y**3\/6 - 2*y**2. Let d = -22 - -26. Suppose -d*b + 8 = -0. Calculate w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -434*i**3\/3 + 521. Let p(b) = -b. Calculate p(u(j)).\nAnswer: 434*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 148580 + 5?\nAnswer: 148585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28173451 is divided by 2017?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 2*s**4 - 3*s**4 - 4*s**4 + 5*s**4 - 2*s**4 - s**4 + 3 - 3 + (3*s**3 + s**3 - 5*s**3)*(2 - 2 + 4*s) - 306*s**4 + 1338*s**4 - 46*s**4.\nAnswer: 976*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1251)\/36)\/(3\/(-12)). Suppose 5*c + 12 = 9*c, d = 2*a - 3*c. Calculate the remainder when a is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away -265.5438?\nAnswer: 244.5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-3) - -1)*4591. Suppose 0 = 9*v - 1196 - y. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -22*l + 3\/2*l**2 + 1\/12*l**4 + 0 - 1\/2*l**3 + 21\/20*l**5. What are the prime factors of b(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.06 + 23.56. Let t = 92 + -553\/6. Let s = 0.3 + -0.2. Which is the second biggest value? (a) s (b) t (c) -11 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -2\/5, 1561?\nAnswer: 1561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (0 - 0)) + -15. Let i be 10\/(-12)*r\/20. Which is smaller: i or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 32 + 58 = 4*x, 0 = -17*x + 119 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/91 - (-64)\/14. Suppose -4*w - 2*o + 12 = 0, -5*w - 3 = -r*o - 18. Solve -5*s + 0*q + 4*q + 13 = 0, -w*s + 24 = 3*q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 116*u**7\/21 + 1309*u**3\/6 - 78*u**2 + 4. Differentiate l(d) with respect to d.\nAnswer: 4640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3 - 2*j - 9*j**2 + j + 1. Let u be m(2). Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 3, 5\/4, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*f - 10. Does 14 divide 30 - -1*(f + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121313 (base 4) in base 15?\nAnswer: -c960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(12\/4) + 7. Let v(t) = -4*t - 1. Let o be v(-2). Find the second derivative of -3*l + o*l - l + 0*l**d - 2*l**5 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -440260 from 36.3.\nAnswer: 440296.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3798 is divided by 145?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(-5 + (-76)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -6)*(-2 + 236\/6). Let d be (y\/(-6))\/((-28)\/12 - -3). Solve -4*g - 8 = -d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -543 - -621. Suppose -4 + 1 = -r - 5*h, -27 = -2*r - 3*h. Calculate the lowest common multiple of s and r.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070*t + 2063*t - 257 + 257.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o + 28. Is -5 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3758 (base 12) to base 10.\nAnswer: -6260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*k + 2 - k - 2 + (3 - k - 3)*(-2 + 1 + 3))*(1800206*k + 12 - 1 - 1800129*k)*(2*k + 0 + 0) as u*k**2 + o + j*k + b*k**3 and give b.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - -21. Suppose -4*y - 3*a - a = -60, 4*y - x = -5*a. Suppose 2*b = b + y. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 19 + (-32 - -3 - -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358 - -450. Calculate the greatest common factor of t and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bsszbss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + 4. Let u = 68 - 68. Which is the biggest value? (a) u (b) l (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 17*c**2 + 3*c + 42. Let j be m(-18). What is the highest common factor of 2028 and j?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i. Let s(v) = -6*v**3 + 5*v - 7. Let t(f) = 5*o(f) + s(f). Differentiate t(x) with respect to x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23264\/737 at least 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 + 50*k**4 + 38*k**3 - 234*k**2 + 144*k = 0.\nAnswer: -24, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2 + 2*l - 18 + 36 - 27. Let x(d) = -13*d**2 + 4*d - 17. What is 11*h(g) - 6*x(g)?\nAnswer: g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3 - 17 + 698*w - 353*w + 4*w**5 - 345*w + 2*w**2 wrt w?\nAnswer: 240*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/3, -1.1, 3\/5, -53 in ascending order.\nAnswer: -53, -1.1, -0.4, -1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 9\/2*72\/54 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 200 = 90. Let l = 132 - a. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 124324*o + 248844*o - 124522*o.\nAnswer: -2*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -29 (c) -2\/15 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -2024 (c) -2 (d) 1\/573 (e) -1\/5 (f) 0.4 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4502 is divided by 149?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0.667 (c) -88.8 (d) -5 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.864 + -3.516. Let l = k - -29. Let p = l - -0.37981. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009852521 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:02 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7488))\/(6*sqrt(64)) - (sqrt(104)\/(-1*sqrt(128))*4)**2.\nAnswer: -13 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q + 7. Let b(h) = h. Let y(k) = 4*b(k) - r(k). Differentiate y(p) with respect to p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*6\/4 + 3. Let m(t) be the third derivative of t**6\/120 - t**5\/12 - 5*t**4\/24 - 5*t**3\/6 - t**2. Let k be m(b). Round k to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((9\/12)\/1)\/3. Let z be (2\/(-5))\/(1\/5). Let m be z\/7 + (-11)\/(-14). Which is the closest to -1\/4? (a) 0.3 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25d19 (base 15) to base 16\nAnswer: 1d8f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005404 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-7478))\/(352\/88). Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = -29*v + 42 + 3. Let a(i) = -i**3 - 3*i**2 + 9*i - 6. Let u(b) = b**2 + b + 1. What is v*a(n) + 3*u(n)?\nAnswer: -n**3 + 12*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.035013 and 2?\nAnswer: 0.070026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -120*g + 38. Let y(c) = -8*c. Give y(n(r)).\nAnswer: 960*r - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 + 8 = 3*m, 5*j = m + 3. Let y be (0\/(-1))\/(2 + 4\/(-1)). What is the units digit of (y - 10)\/(m\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + r + 27 + 40 = 0, w - 18*r - 49 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -17651 and 13\/38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:17 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -1.5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*t**2*v - 3*l**2*t**2 + 10*l**2*t + 4*l**2*v + l with respect to v.\nAnswer: -l**2*t**2 + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 331 + 408. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88318589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242714.\nAnswer: 2, 121357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000128774 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 4*d - 3. Suppose -1 - 5 = 3*g. Is m(g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 5*a + 6. Let t(k) = k**2 + 5*k - 6. Let y(i) = -3*t(i) - 2*w(i). Let h be y(3). Is h equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 - 2*c + 5. Calculate a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 337. Let r be 4 + (-12)\/m*39. Which is the nearest to -3? (a) 4 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, x: 4, b: 1, n: 2, h: 3, f: 2}. Give prob of sequence hbx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose 0 = v*c - 7*c + 55. What is the remainder when 42 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 6}. Give prob of picking 3 e.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*q - j - 15, 0 = -q + 4*j + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/9*1647\/366 - 186\/(-47).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -3\/8, 12, 5, -67, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -0.041 (c) 3 (d) -358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 23*t - 24. Determine r(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(36)\/sqrt(4)))\/(sqrt(2) - (sqrt(6)\/sqrt(3) - sqrt(2))*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7463 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1916 + 1915.9. Which is the second biggest value? (a) -1.31 (b) 2 (c) o (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r**3 - 4*r**2 + 5*r - 3. Calculate z(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -861 - -1826. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41437409\/3 or 13812469?\nAnswer: 41437409\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*p = 231, d + 20*p + 198 = 5*p. Is d less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 70*n**2 + 11 - 9*n + 22*n + 6*n + 15.\nAnswer: -70*n**2 - n + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9314737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 48*c**4 + 140664*c**3 + 103334907*c**2 + 411653196*c + 411091308 = 0.\nAnswer: -5853\/4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v. Suppose 0 = -130*c - 80 + 470. Let h(y) be the first derivative of 0*y**2 + 2\/3*y**c + 0*y + 14. Calculate h(f(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-21)\/14. Suppose -16 = -2*w - 4*l, -4*l - l = 2*w - 21. Let s be w\/12*(-4)\/v. Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 6 - 2. Let p = 74 - 69. Let n = p + -5.1. Put n, s, -0.5 in decreasing order.\nAnswer: n, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 - 133?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 14 - 3 = -s, 7*s - 6*t - 6*t + 41 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/1*(78\/24 + -4). Suppose -2*p - 3253 = -3*l, 6*p = f*l + 3*p - 3249. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46350.41 millilitres to litres.\nAnswer: 46.35041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*g**2*x**5 + 610*g**2*x**3 + 12*g**2 + 206*x wrt x?\nAnswer: -200*g**2*x**3 + 3660*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1939 times -249577\nAnswer: 483929803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -31)*(-20)\/6. Suppose 5*t = 2*x + n, 5*t = -x - 0*x + 75. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1944)\/(-924)*35\/20 and (-43)\/7 - (-2)\/4.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 8 + 100*x**2 - 101*x**2 - 13*x. Let f be t(-10). Solve -f*a - 2 = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*y = 182*y - 42 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(153)*5 + 2).\nAnswer: -60*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/6 + 5*z**3\/3 + 4*z**2 + 88*z. Suppose y(b) = 0. What is b?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 16*g - 43561. Let v(h) = -22*h. Give v(i(y)).\nAnswer: 44*y**2 + 352*y + 958342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y + 124. Does 16 divide a(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.88 + -497.12. Let h = -497.45 - s. What is h rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/21 and 7\/(-420)*-8*(-280)\/6.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5104317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -51, -69, -85, -99, -111, -121?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 7:30 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1874675*w - 13122711. What is j(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 213, 216, 223, 234, 249?\n\"Answer: 2*b**2 - 3*b + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -37*c. Let r(o) = -19435*o. Determine r(a(q)).\nAnswer: 719095*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20564 - u + 10339 + 10316.\nAnswer: -u + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -4. Let u(a) = a**2 + a**3 - l + 0*a**3 + 2*a**2. Give u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l - 19 + 67 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 5*y**2 - 2*y + 4. Let p be d(5). Let t(b) = 8 - 2*b**3 + 1 + 3*b**3 + 8*b**2 + 8*b. Does 15 divide t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18677 is divided by 4649?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312 + -32. Is d a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 3, q: 3, p: 3, a: 1, b: 2}. What is prob of picking 1 b and 1 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1139, -1\/4, 40 in ascending order.\nAnswer: -1\/4, -0.1139, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -24*s**3 - 162*s**2 - 704*s + 1. Let q(w) = 13*w**2 + 59*w + 128. Let c(a) = 5*l(a) + 28*q(a). Factor c(b).\nAnswer: 4*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 1 - 15 - 1 - 165*k**3 + 164*k**3 + 0.\nAnswer: -k**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let f(p) = -p. Let a(d) = 4*d**2 - 4*d. Let x(n) = -a(n) + 4*f(n). What is j(x(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 137*a**2 + 41*a + 78. Does 17 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g = -63*g - 546 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**5\/12 + 7*d**4\/24 - d**3\/3 + d**2 - 3. Let k(a) be the second derivative of l(a). Factor k(g).\nAnswer: -(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.795 - -4.795. What is the closest to 10 in -2\/3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56025347 to the nearest integer?\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:24 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 + 9*g + 5. Let a(w) be the third derivative of -w**5\/60 - w**3\/6 + w**2. Let r(t) = 5*a(t) + x(t). Find the second derivative of r(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(((-3850)\/(-25))\/22). Let m(g) = 1. Let c(d) = 5*d - 4. Let u(z) = -11*z + 8. Let f(j) = 9*c(j) + 4*u(j). Let s(i) = -f(i) - 6*m(i). Give s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**11)\/a*a\/(a\/a**(-12\/11))*(a**(-2\/43))**(-32))**37 assuming a is positive.\nAnswer: a**(216968\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1473, 1129, 781, 429, 73, -287, -651?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -79. Let w be (c\/2)\/((-9)\/(-1254)). Calculate the greatest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -515 - -516. Solve 0 = 5*s + d + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -482721*g**2*y**3 + 2*g**2*y - 11*g**2 - 96*g*y**5 - g*y + 3*g - 497*y - 1 wrt y?\nAnswer: -2896326*g**2*y - 1920*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 9. Let g(k) = -3*k - 4. Let q(n) = 18*n + 21. Let x(c) = -11*g(c) - 2*q(c). What are the prime factors of x(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 36 - 218*o**2 - 31 - 235*o**2 + 678*o**2 - 213*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1022 and 10.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1402 - -2377. What are the prime factors of f?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -3 + -1 - 20. Let u be 4\/14 + 27\/o. Suppose 0 = -3*a - a - 20. What is the nearest to u in a, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -20047\nAnswer: 60\/20047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - -1013131231?\nAnswer: 1013132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n, 0 = 2*c + 5*n - 40. Suppose c*s - 22*s = -96. Calculate the highest common factor of 72 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 16. Suppose 2*c + 0*c = 12. Suppose 4*z - c*z = -y. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 5*b + 7. Let g be w(6). Suppose -3*t - 5 = 1. Let j = g - t. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 487, 444748, 2 in descending order.\nAnswer: 444748, 487, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.9 and 29.\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 124 and 484526 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 776, 1804, 3244, 5096, 7360?\nAnswer: 10036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 41*h - 14. Let j be i(14). Let s(r) be the second derivative of r**2 + 0*r**4 + 0*r**3 + 1\/10*r**5 + j + r. Differentiate s(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165451 (base 8) in base 7?\nAnswer: 340341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 4:23 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x + 3. Let z(o) = o**3 + 5*o**2 + 8. Let l be z(-5). Let a be c(l). Let t = 210 + a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-25)*-7*(-3 + 2\/(-6)). Let j be (4\/(-3))\/((-2)\/231). What is the greatest common divisor of j and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -625, -602, -547, -448?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1663 or 0.1?\nAnswer: -2\/1663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 76*m**2 + 649*m - 959. Determine w(67).\nAnswer: 2123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465624927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*u - 56*c + 60*c, -2*u + 5*c = 58 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13288248 a multiple of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6360 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-4)*(100\/250)\/((-9)\/15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2321 is divided by 1130?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 222.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 (base 7) in base 4?\nAnswer: 30021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 2*z**3 + 4*z**3 + (2 - 4 + 1)*(z**2 + z**3 - z**2) - 5*z**3 - 9*z**3 + 0*z**3 as h*z**3 + f + i*z + c*z**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 + 1660*c**3*j**2 - j**2 + j + 10981 wrt c.\nAnswer: -8*c**3 + 4980*c**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 8*z = 184. Suppose z = q - 3*q. Let k = q + 75. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2 + 37416*u + 37418 = 0.\nAnswer: -1, 18709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 2*c**2 - 5*c - 2. Let a be s(-3). Solve a*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 22, -2, 5, 8.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 196 = 2*r, -3*x + 8*r + 154 = 3*r. What is the greatest common divisor of x and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -3\/41, -43.9 in increasing order.\nAnswer: -43.9, -3\/41, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Is a less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2706\nAnswer: -2\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.39 + 0.62. Let m = -1.77 - q. Which is bigger: m or -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35809659175926 + 35809656602877.2700021. Let i = w + 2573049. Let c = 0.27 - i. What is c rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1687*32.\nAnswer: -53984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j\/(j*j*((j**0\/j)\/j)\/j))**39*j\/(j\/j**(-1\/2))*j*j**(1\/4)*j**(-2)*(j*j**(5\/3))\/j assuming j is positive.\nAnswer: j**(-1867\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*84108\/(-43). Is -2*(o\/16)\/((-21)\/28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403040 (base 5) in base 8?\nAnswer: 31137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*o - 3*z, 4*o - 6 = 2*o - 2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-5)*h*h))\/(h*h**(-23)))\/(h\/h**(-17)*(h\/(h\/(h*h**(-14\/5)))*h)\/h*h) assuming h is positive.\nAnswer: h**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48817928 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -43*c - 758. Give d(-19).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3107 or -3\/7?\nAnswer: -3107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1824 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.1 (b) -534.23 (c) -1\/839\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:02 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1517126722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-69)\/1840). Let z be 20\/d - ((-10)\/4 - 0). Let m(j) = -12 - 3*j**2 + 18 - j + j**z - 6. What is m(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -2*sqrt(500)*1 + sqrt(500))**2*2 + (sqrt(125)*-2*1)**2 + (sqrt(125) + 0 + 3)**2.\nAnswer: 30*sqrt(5) + 634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 36. Suppose -4*a - 7 = -q*x - 30, 5*a = -x + 5. Suppose a*u - 26 + 2 = 0. Calculate the remainder when 58 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 107520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 85*x - 252. Let q be h(-39). Solve q*k + 29 = -r + 16*k, 3*r = 2*k - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:38 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260063762 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -330034*m**2 - 330034*m**2 + 10597 + 357*m + 660066*m**2 with respect to m.\nAnswer: -4*m + 357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 8 = 14*z, -2*z - 16 = -2*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, -109, -301, -527, -799, -1129, -1529?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 71 = -76 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.1996323 take away 145?\nAnswer: 104.1996323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let z be d(2). Suppose 5*m = 4 + 16. Suppose 0*p - 8 = -4*l + m*p, 0 = 4*l - p - 11. Solve z*x - 3 = 3*w, -x - 3 = 3*w - l*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/4)\/(21\/42). What is the least common multiple of 3 and 33 - d\/2*(-2)\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2, 0.2, 21\/8 in increasing order.\nAnswer: 0.2, 2, 21\/8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55684313365 plus 2118?\nAnswer: 55684315483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 544187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 20*o - 23*o = 26, 5*o - 15 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b - 15*b = -22969 - 7699. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.09, -0.1, 6, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 20. Let x = -15 - n. Let u be x\/(-2)*(-14 - 0). Which is greater: u or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from wpbbbpbppvvsbvsbpp?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1, 2, 0.1 in increasing order.\nAnswer: -1, -2\/3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -517234*z**2 + 20741?\nAnswer: -1034468*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -9) + -10 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*o + 12 = 4*o, 4*x + 3*o = 23. Let l be (-9)\/36 - (-146)\/x. Solve -3*u - 4*z - 2 - 2 = 0, 3*u - 3*z = -l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -52, -118, -286, -562?\n\"Answer: -g**3 - 42*g**2 + 163*g - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: (15 + (-10)\/(-14))*(-28)\/10\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + -1*((sqrt(99) + -4 - sqrt(99))*2 - ((sqrt(99)*-3)**2 + 0 - sqrt(99))).\nAnswer: -3*sqrt(11) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 + 7*p + 4. Let n(j) = -24*j**2 - 13*j - 7. Give -11*k(b) - 6*n(b).\nAnswer: 12*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667 divided by -29.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -18)\/((-8)\/(-4)). Let t be (y\/(-2) + 4)*0. Are t and 1\/78 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.5445 - 14.029. Round a to 2 dps.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 8:50 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 8 + 1 - 108\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/572619 and 6\/5855.\nAnswer: 2863095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:18 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 - 108*q - 798. What is j(-20)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*h - 68 + 68)*((4 - 3 - 2)*(-h + 2 - 2) + 0 + 0 + 2*h) to a*h + i*h**2 + x and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is be10 (base 16) in base 6?\nAnswer: 1013132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84375\/487 or 0?\nAnswer: -84375\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 516 + 516 + 4*i**3 to the form b + j*i**3 + t*i + w*i**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46459, 92860, 139261, 185662?\n\"Answer: 46401*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82518447*c**3 - 191*c**2 + c + 6908.\nAnswer: -495110682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*d - 105*d - 377*d - 1 + 86*d to the form g*d + a and give g.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:07 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 19*y**2 - 19*y + 23. Give c(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/511863 and -17\/235131249.\nAnswer: 2586443739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 132. Suppose -5*f = b + 105, -207*f = -206*f - 4*b. Determine a(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114a9a (base 11) to base 9.\nAnswer: -307104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w - 3. Is 9 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314135 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - (1 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 greater than 5397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:44 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let g(t) = -1153423*t**2. What is g(b(z))?\nAnswer: -18454768*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 289, 494, 625, 688, 689, 634?\n\"Answer: r**3 - 43*r**2 + 327*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 17 + (25 + -14 - 35).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-20)\/(-120)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10*(4 - 15\/6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 2. Let a be i(2). Suppose -6 = -a*x + 2*v - 3*v, 0 = -x + v. Factor 3*j**x + j**4 - 11*j**3 + 8*j**3 - 5*j + 4*j.\nAnswer: j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 12\/38531825?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5016.309 millimeters in kilometers?\nAnswer: 0.005016309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13151.6 + 13152. What is the closest to -2 in -1.2, y, -14, 0.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 17*x + 22. Let c be u(18). Let t be (c - (-36)\/(-8))*-10. Let o be -1 + 4*1 + 0. Sort t, 2, o in descending order.\nAnswer: t, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvi when three letters picked without replacement from vmiem?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**3 - 5165*h**2 - 5*h - 485776 wrt h.\nAnswer: -15*h**2 - 10330*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13918854 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 1. Let p(f) = -f + 3. Let u be p(5). Let d be n(u). What is the second derivative of 2 - 7*m**5 + m**5 + d*m - 2 wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -15, -23, -33, -45, -59, -75?\n\"Answer: -b**2 - 3*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8606, -5, 1, 3, 41 in increasing order.\nAnswer: -8606, -5, 1, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 32. Calculate d(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186839 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:53 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 76\/18073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -1*(3 + -1). What is the common denominator of 33\/19 and (-68)\/14 + 0 + k?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1034\/77)\/(-1*(-2)\/14) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = h, -4*h + h + 5 = -2*g. Suppose h*q - 108 = 147. Suppose 3*c - 4*n + 3 = q, -3*n = c - 16. Solve c = 2*y + 5*u, -y - 6 = -2*u + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(28\/301)*4)\/(18\/(-9))?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 7, i: 1}. What is prob of picking 2 t and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i - 107729 + 49265 = -358854. List the prime factors of i.\nAnswer: 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433b (base 13) to base 11\nAnswer: -7026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (9 - 6) - -2) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*u = 32, -400*u - 4 = -2*m - 402*u - 7 + 7 + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + (3 - 2) + 99 + -103.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102538, -410190, -922958, -1640842?\nAnswer: -2563842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 8*s**4\/3 - 3*s**2 - 2. Let i(v) be the first derivative of v**2 - 51. Calculate n(i(x)).\nAnswer: 128*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -314, -268, -194, -86, 62, 256?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a + 4*a**2 - 10*a**2 + 4*a**6 + a wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -9*h**6\/20 + h**5\/10 - 673*h**4\/8 - h**2 + 229. Find the second derivative of s(q) wrt q.\nAnswer: -324*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 9. Solve v - 21 = 4*r, r = z*v - 2*r - 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 14*f**2 - 23*f + 3. Let v be q(-12). Which is bigger: -11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -15*b + 2. Let z be -3 + 4 - b\/(-2). Solve 3*x + l = -1, -z*x + 11 = -4*l - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1.06 (c) -4.6 (d) 5 (e) -0.1 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, p: 3, s: 6, j: 3}. Give prob of sequence xxpp.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 89 - 56 = -4*s + 75, 0 = 3*h - 3*s + 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*(-29)\/((-145)\/(-32)). What is the greatest common divisor of r and 8704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 212 and 4564001.\nAnswer: 4564213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/((h**(-3\/4)\/h)\/h)*h*h\/(h*h**3)*h**2)\/(h**(1\/9)*h**(-2\/7))**(-1\/12) assuming h is positive.\nAnswer: h**(2963\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120763196 and 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -20 - 4*g + 5*g - 15. Let v be y(0). Let m = v + 52. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*s + 77 = 4*u, -3*u = -5*s - 128. What is the remainder when ((-404)\/3)\/(2\/(-3)) is divided by u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574770 >= 574774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/13461960 and 65\/10769568.\nAnswer: 53847840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 118401 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1014*g**2*h**3 - 8*g**2*h + 2*h**3 + 296 wrt g.\nAnswer: 2028*g*h**3 - 16*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16223536 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 51*y**3 + 30*y**2 - 13*y + 13. Let p(f) = -25*f**3 - 15*f**2 + 6*f - 6. Let r(w) = 6*a(w) + 13*p(w). What is the third derivative of r(j) wrt j?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22233 and 1527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4 - 9*y + 11. Differentiate l(c) with respect to c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766527333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-80))\/(2\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + b = -0*b - 1, -c = -b - 7. Solve 0 = -c*u - 2*l + 4, -u + 0*l = -2*l - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72573\/16 - -4538. Let x = -19\/16 - h. Find the common denominator of 15\/7 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 2 s when four letters picked without replacement from ssbslbbsfsb?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 7*h**2 + 24*h + 48. Suppose 0 = 5*j - 2*g + 49, 3 = 4*j - g + 41. Determine n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 2 + 2 - 23*j to n + a*j and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1823 divided by -1.\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 - 2*n + 18. Let o be q(9). Suppose u + 4*t - 29 = -32, o = -4*t - 12. What is the highest common factor of 225 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.208 * -33.\nAnswer: -6.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 1. Suppose -x = -5*u, -5*x + 17 + 9 = u. Let a = d + x. Solve 3*s + 15 = 0, 0 = -l - 0*l - a*s - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let m(g) = -4*g**3 + g**2 + 2*g + 1. Let u be m(-1). Let n(y) = 1. Let j(r) = 15*r - 2. Let c(f) = u*n(f) + 2*j(f). Calculate c(i(s)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21479 + -1862.11479. Round h to the nearest ten.\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 11, 22, 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:34 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105663*l**2*t**3 + 4644161*l**2 + 4*t**3 wrt t?\nAnswer: -316989*l**2*t**2 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.32. Let w = -3.82 - t. Which is the closest to -2\/11? (a) w (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 4737392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 - 2*c - 2. Let i be v(2). Suppose i*u + 421573 + 1218427 = 0. Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 57504.98 tonnes?\nAnswer: 57504980000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29211 is divided by 29190.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 18*h - 3. Let g be z(-1). Let r = 24 + g. Let o(t) = 2*t**2 + t. Let u be o(r). Solve 3 + 5 = -2*k, -5*b - k = -u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.94 times 28.548?\nAnswer: 312.31512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000866954 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**4 + a**3 - 2*a**2 - 2*a - 2. Let m(h) = -6*h**4 - 5218*h**3 - 5101244*h**2 - 2217342460*h - 361426821628. Let p(g) = m(g) + 2*t(g). Factor p(j).\nAnswer: -2*(j + 652)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01709559957 to five decimal places.\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12952, 13011, 13070, 13129, 13188?\n\"Answer: 59*t + 12893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 27.9. Let k be ((-3)\/(-51))\/(1\/2). What is the closest to 1\/3 in -3, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 1. Let f(a) = 9*a - 2. Give -3*f(t) + 7*l(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1447, 2154, 4085, 7852, 14067?\n\"Answer: 102*m**3 - 7*m + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*u - 3965*u - 4193*u.\nAnswer: -7764*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 35 - 167*r + 36 - 1426*r**2 + 1431*r**2. Is t(33) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + 3*sqrt(68)))\/(sqrt(64)*-2 - sqrt(64) - sqrt(64))*5.\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*b + 31 = 1, -9 = -4*q - b. Factor 5 + q*c**2 + 3*c**5 - 3*c**4 - 3*c**3 - 5.\nAnswer: 3*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 6*i**2 + 0*i**2 + 6*i**2. Let c(w) be the first derivative of 1 + 0*w**2 + 0*w - 4\/3*w**3. Give c(z(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {l: 5, q: 6, g: 4, o: 1}.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21398185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1000000101 (base 2) to base 4\nAnswer: -20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 782978\/(-4)*(-690)\/483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/3, 3\/124, -0.1, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 390, 910, 1656, 2640?\nAnswer: 3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 31*m**2 - 17*m + 36. Determine d(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2766253, -5532508, -8298763, -11065018, -13831273?\n\"Answer: -2766255*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*i + 175*i = -93*i. Solve 0 = -0*b + 5*b + 4*g - 5, i = -5*b - 5*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:03 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrrh?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.3058 - 0.3058. Which is the fourth biggest value? (a) j (b) -4 (c) 0.22 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7431 + -5636. What is the remainder when a is divided by 597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308678833\/262 + 1178165. Let p = -2\/131 + w. Which is greater: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1615131*m + 102762?\nAnswer: -1615131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j**2 - 45*j + 249. Calculate a(9).\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -6*l + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-10)\/(-4) - (-63)\/126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/2)*t\/(t\/(t\/t**9)))\/((t\/(t\/t**(-1\/12))*t)\/(t\/(t\/((t*t**(-2\/13)\/t)\/t))))*(t*t**5*t*t\/((t*t**4)\/t))\/(t**(-1\/2))**40 assuming t is positive.\nAnswer: t**(2407\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 15 - (-20)\/(-2). Let w be 12\/45 + u\/(-15). Which is bigger: w or -0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 9*m. Let p be c(9). Suppose p = 5*a - 15, -1 = l - 3*a + 3. Solve l*g = g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*v = -77*v - 1580. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - -26?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1109 - 1119. Sort -5, o, -3, -14.\nAnswer: -14, o, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Let p(g) = -3 + 6 - g + 0*g. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 + 188*h**3\/5 + 10804*h**2\/5 + 184992*h\/5 + 968256\/5.\nAnswer: (h + 12)**2*(h + 82)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213949.\nAnswer: 213949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 809, 805, 801, 797?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 197177467.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(1700) - (sqrt(1700) + 2) - sqrt(1700))*3 - (sqrt(1700) - (sqrt(1700) - -2*(-1 + sqrt(1700))))*-3)*-4*-1 + -1)**2.\nAnswer: 720*sqrt(17) + 2203201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/(h*(h**9\/h)\/h*h))\/((h**9*h)\/((h*h*h**(15\/8)*h)\/h)) assuming h is positive.\nAnswer: h**(-863\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1052?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -453821, -453822, -453823?\n\"Answer: -y - 453820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-75)*-171 + (-2)\/5. Let o(x) = -x**3 + 11*x**2 + x + 19. Is 8 a factor of o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19518, -19522, -19522, -19512, -19486?\nAnswer: -19438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378342 and 21187152?\nAnswer: 21187152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 14892840.\nAnswer: 14892840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 3 + -11 + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*n + 142 = 0, -b + 0*n - 28 = 3*n. Let c = b - -28. Let t(j) = -21*j + 14. List the prime factors of t(c).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a century?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113155.\nAnswer: 5, 67, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23389 and 2831.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5 + 53*f**4 - 90*f**3 - 630*f**2 + 891*f + 1377 = 0.\nAnswer: -3, -1, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457972836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 822*j**4 + 82384*j**3 - 425992*j**2 + 688896*j - 346112 = 0.\nAnswer: -208, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 101, 169, 255, 365?\n\"Answer: n**3 + 49*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 825 and 15550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100, 119, 138, 157?\n\"Answer: 19*b + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 12 - (0 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihkhbhbhbkkkiii. Give prob of sequence bkhb.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 2*u = 45, -5*b - 2*u + 65 = 0. Let k(g) = 7*g + 8. Is k(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9710.573 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/129 + 37\/((-70004)\/256)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 16 - 28 = 0. Find the third derivative of 0*l**z + 9 - 9 - 55*l**2 - 47*l**4 wrt l.\nAnswer: -1128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10641278383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*l + 199, -251 = 4*m - 9*m + 3*l. Suppose -4*d + 72 - m = 0. Solve -o - 6 = -2*g, -o - o - d*g + 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1 + (-4)\/4. Suppose -q = -2*m + 9. Calculate the remainder when 16 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25.91581ml?\nAnswer: 0.02591581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 80\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 1. Let u(a) = -a. Let b(c) = h(c) - 3*u(c). Let f be b(7). Suppose -2*k + 40 = -f. What is the highest common divisor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4062472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + -3 + -3.\nAnswer: -6 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110192 is divided by 265.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 92*u\/5 - 1008\/5.\nAnswer: -2*(u + 18)*(u + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 1565 = 3*a + 1549, 22 = 4*a + 2*r for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 40.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/90*18\/(-32)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5184*t**3 + 3*t**2 - 8*t - 29. List the prime factors of a(-2).\nAnswer: 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 926151806 to the nearest integer?\nAnswer: 30433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 55, 84, 113, 142, 171?\n\"Answer: 29*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/120509 and 47\/296.\nAnswer: 964072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 280643, -11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 45, 2, -1 in decreasing order.\nAnswer: 45, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.5 (c) -5\/12 (d) 0 (e) -0.3 (f) 5\/8 (g) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(1 - 3)*(-17)\/68. Let h be 13\/130*-5*(q - 1). Sort 1\/10, h, -0.5, -7 in increasing order.\nAnswer: -7, -0.5, h, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 5*l - 11. Give z(4).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q. Let a(g) = -8142089*g. Calculate t(a(n)).\nAnswer: -73278801*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Suppose -3 = -4*d + 3*d. Let f be (-5)\/((-50)\/26) - d. Which is the second smallest value? (a) y (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22270?\nAnswer: 2, 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14219.\nAnswer: 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 684 = -5*a, 0 = -b - b + 4*a + 368. Let o be (5\/10)\/((-1)\/(-10)). Suppose p - o*p = 2*n - 154, 3*n + b = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1962 divided by 3\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + o + 30. Suppose o = 2*h - 0. Solve b - 3 = 3*u - 2*b, 0 = -2*u - h*b - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.3, 2, 1089, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22653529, 22653539, 22653551, 22653565, 22653581, 22653599?\nAnswer: 22653619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 times -11.0424?\nAnswer: -13339.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 4*b**2 - 6*b + 9. Let a be d(5). Let g = -88.3 + 91. Let v = g + -3.2. What is the smallest value in v, a, 0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 151950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {k: 2, z: 8, g: 3, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 7:52 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 408780 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 22*z + 3*z + 182 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4 + 1)*10. Suppose l = -5, f + 4*f + c*l - 20 = 0. Solve 5*k = -10, w + f - 1 = -5*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/6)*(-4)\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o. Let l = 8 + -5. Suppose l*j = -6 - 3. Calculate h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68737.25 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894237 is divided by 140?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 84*p**2 - 397*p + 3557. What is b(38)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151 + 256. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.3, -0.8, 106, 4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0418953331 to 6 dps.\nAnswer: 0.041895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81584579 to the nearest integer?\nAnswer: 9032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let d(p) = -5*p**2 + i*p**2 + 4*p**2 - 4*p**2. Let z(g) = -g**2. Determine d(z(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 7. Let z be (-3 + 5\/2)*(-1 - 1). Let n be (-12 - (-18)\/9)\/(2 - z). Give g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48380.\nAnswer: 2, 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60 - 8513?\nAnswer: -8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/45)\/((-5)\/75).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1132, -2\/5, 24, 4\/5 in increasing order.\nAnswer: -1132, -2, -2\/5, 4\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 5, -1, 0.142?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Suppose -422 - 33535 = -j*f + 5*s, 4*f = -3*s + 33917. Let x = f + -67777\/8. Find the common denominator of x and 65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*c - 3*c. Let l(n) be the second derivative of -n**3\/3 + 7*n**2\/2 - 2*n. Let s = -9 + 3. Let r(q) = 2*q - 8. Calculate c*l(u) + s*r(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 594 + -593. Put -1, 5, o, 4 in increasing order.\nAnswer: -1, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/88 + 437\/264. Which is the nearest to 3? (a) 1 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (17 - (13 + -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 20*n + q = 481598, 4*n - 1926385 = 3*q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 49*h - 8*h - 21*h - 22*h. Let l(k) = -k + 117. Determine l(i(p)).\nAnswer: 2*p + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -205*l**3\/3 - 1125*l**2\/2 + 1365. Find the second derivative of o(q) wrt q.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*a + 121*a = 6*a + 4128. What is the smallest common multiple of a and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -27. Suppose -d = -2*n - n. Suppose 2*q + 3*f = 19, 4*q + q - 35 = -n*f. Solve q = 2*c - c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12*v)**7 assuming v is positive.\nAnswer: v**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120620 is divided by 20018?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/5 + 432*n\/5 - 15552\/5 = 0. What is n?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*h + 34 = u, 5*h = 25. Suppose -5*v - 2*y - u = -52, -2*v - 2*y = -24. What is the lowest common multiple of 8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*d*j**2*r + d*r**2 + 3*j**2*r**3 + 10*r**3 wrt j.\nAnswer: 70*d*j*r + 6*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*a - 80 - 8, -3*a = 6. Let c = -6 + u. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -4\/29, -4\/5?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 3*q**2 - 3*q + 3. Let g be o(3). Let s be (2\/g)\/((-2)\/24). Suppose -540 = s*m - 7*m. Calculate the greatest common divisor of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/19848 and -41\/13484235?\nAnswer: 107873880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**4\/5 - 33684*y**3\/5 - 101104*y**2\/5 + 134784*y\/5 = 0.\nAnswer: -4, 0, 1, 8424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-95) + 9\/(-5). Let v be 8\/4 - (1 + a). Let t be 1\/v*(-17 - -21). Which is bigger: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/15)\/(2\/(-50)). Suppose 135 = 3*p - 3*s, 5*p + 5*s - 219 = -44. Calculate the highest common divisor of f and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83235.34443 + -83235. Let s = y + -0.343. What is s rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 357 = -13*r. Suppose -r*n - 7*n + 504 = 0. Suppose 2*g + s - 40 = 0, 4*g = 5*g + s - 22. Is n equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -46*z. Suppose -47 = -5*c - 2. Suppose -3*k + 39 = -c. Solve 4*i + k + 0 = z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(686*v + 508*v - 300*v) + (1 + 2 - 5)*(2*v + 0*v + 0*v) - v - 3*v + 2*v.\nAnswer: 1782*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 - i + 2. Let n = -11 - -8. Let w be (-9)\/n - (0 - -2). Let d be w - (1 - -2 - 0). Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*l**3 + 3*l**2 + 242 wrt l.\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 - a**2)*(0*a - 6*a + 4*a)*(13 - 15 + 24 - a).\nAnswer: -2*a**4 + 44*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 25 = k. Let w be 2 - k\/(15\/8). Let v = -12 + 10. Which is the nearest to w? (a) 5 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15402 times -0.235?\nAnswer: 3619.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2 - 2) - (1 + -4) - (204 + -161)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*c**3*q + 5*c**2*i**2 - 2*c*i - 710*i**2*q - 9*i**2 wrt c.\nAnswer: -15*c**2*q + 10*c*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345545 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + c**3 + 4*c**4 - 7*c**3 + 5*c**3 - 5*c**4 + 2*c as h*c**2 + j*c + n*c**3 + m + w*c**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 129595 + -127615\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*a = 20, -2*m + m + 12 = 3*a. Suppose -1 + 11 = 5*c. Suppose c = -r + m. Solve 3*b - 5*b + 2 = 2*p, 0 = -r*p - 5*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192491 divided by 169?\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 3 (c) 0.011 (d) 1.1 (e) -65\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/17, -15\/8, -4, -2.\nAnswer: -4, -2, -15\/8, 2\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:41 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -38.4. Let j = o - 4.5. Which is the third biggest value? (a) 1 (b) -6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 6*u - 4*u)*(-4*u**2 + 2*u**3 + 4*u**2) - 4*u**4 + 3*u**4 - u**4 + (-1 + 1 - 3*u)*(-4*u**3 + 0*u**2 + 0*u**2).\nAnswer: 22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = -56, -3*f = 5*r + 22 + 12 + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238211463 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c - 69. Let k(q) = 11*q + 46. Let a(z) = -7*k(z) - 5*o(z). Let l(d) = d - 8. Give -3*a(u) - 8*l(u).\nAnswer: -2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26\/4 - 8) + (-6)\/(-4). Suppose 9*p = 5*p - 5*x + 1801, g = 3*p + 4*x - 1350. List the prime factors of p.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 2*v - n, 2*n = -2*v - 12. Let x be v\/4*5*-2. Solve -o - 1 = -x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1196)\/455 + 12 + (-968)\/77.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 5*d**4\/12 - d**3\/6 - 5*d**2\/2 + 2*d - 7. Does 9 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004*-2578.\nAnswer: 10.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 107 = 5*n + 185, 0 = 2*n - 7*f - 106 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23785 and 1281040?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - 28. Let r(f) = -2*f**2. Give r(k(c)).\nAnswer: -32*c**2 - 448*c - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2564 - 2561. Let 5\/2*y**2 + 1\/6 + 4\/3*y**p - 8\/3*y**4 - 4\/3*y = 0. What is y?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y = d - 4720, d - 4719 = -3*y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*x = 5*w - 11, -4*w + 51 = -3*x. What is the smallest common multiple of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 39*t**2 - 38*t + 2. Let j be y(38). What is the remainder when 440 is divided by (j - 0)\/((-224)\/119 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642877970 by 1057.\nAnswer: -608210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 6*m - 2778*f + 2775*f, 5*f - 15 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3 + 6160\/(-528).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9940.77 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7*-44)\/(((-3)\/35)\/((-237)\/(-395))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 13 = 4*b + 4*h, 0 = 4*h - 12. Let x be (b - 1) + -3 + 4 + 0. Suppose 7*s + x*d - 1120 = 2*s, 3*d = -4*s + 896. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13118 - 4892. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u = -1770*z + 1772*z - 1094, -14*z + u = 28 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m - 248. Let k be d(-28). Let v(t) = -t**3 - 3*t**2 - 2*t - 2. Let f be v(-3). Solve -3*l - k*s = 4, 3*s + s = -f*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, g: 8}. Give prob of picking 2 g and 2 u.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056448 is divided by 176058?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 1253844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -40?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69164148113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 19624?\nAnswer: 98120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9290471?\nAnswer: 677, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 + 115 + 116*k**2 + 115 - 343 as y*k**2 + v*k + s and give y.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -z - 5*q, 2*z + 5*q + 1 = 0. Suppose -z*g - 2*v + 240 = -98, -2*g + v = -329. Suppose -2*k = -o - g, 0*k - 344 = -4*k - o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/7 (b) 0.5 (c) 1086 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21189 + -21099. Solve u*j = 88*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (155*j - 204*j - 223*j)*(4*j - 38 - 11*j + 6*j) as f*j + d*j**2 + u and give d.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1518+54.23224909\nAnswer: 1572.23224909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640*n - 7 = 633*n. Suppose -3*u + 3*x + 90 = 0, 5*u - 3*u - 4*x = 68. Let g be (13\/u)\/((-114)\/(-8)). Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/10*-41)\/(1\/(-2)). Which is bigger: 0.04 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 584.2249901 - 584.25. Let r = t - -0.025. Round r to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - (2 - -2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -24*g**3 + 13*g**2 + 13*g + 2. Let v(c) = -29*c**3 + 8*c**2 + 11*c + 2. Determine -6*k(p) + 5*v(p).\nAnswer: -p**3 - 38*p**2 - 23*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.1 (c) 0.036 (d) -78 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/65 - 80\/13) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3054 and 48335.86004?\nAnswer: 51389.86004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/7 and (2301\/1170)\/(14\/(-5))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 + -228. Suppose j*m - 2 = 20. Is -2 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(5 + sqrt(833) + -2 - 2*sqrt(833)*-4 - (1*sqrt(833)*-5 - sqrt(833) - (4 + (sqrt(833) + 0)**2))).\nAnswer: 315*sqrt(17) + 2516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/3092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1516352029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 751\/4 (b) 1.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1386.61 and -0.046237.\nAnswer: -1386.656237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 3 + 0*i - 4*i + 3*i**2 - 3*i - 10*i.\nAnswer: 3*i**2 - 26*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, -79, -472, -1025, -1738, -2611?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*r**3*s**3 - 15*r**3*s + 319*r**2*s + r**2 + r*s + 118*r + 128029*s**5 wrt s?\nAnswer: -168*r**3*s + 2560580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccacccccc. Give prob of sequence ac.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:35 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -621 divided by 12.\nAnswer: -207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2770786ml?\nAnswer: 0.0002770786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-1 + -2 - -2) + -1. Sort 2, a, -9, 0.5 in descending order.\nAnswer: 2, 0.5, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63880, 63567, 63254, 62941?\n\"Answer: -313*o + 64193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921, 916, 899, 864, 805, 716, 591, 424?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 q when four letters picked without replacement from {q: 3, v: 2, s: 12}.\nAnswer: 33\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -16254?\nAnswer: 16254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - -7?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000279187806 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0, -3487.\nAnswer: -3487, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.09483l to millilitres.\nAnswer: 63094.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 12*u + 21. Let j be y(5). Solve -2*s + 0*s = 5*b - j, 0 = s + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -2\/3, -153\/4, 38 in decreasing order.\nAnswer: 38, -1\/12, -2\/3, -153\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.91508 + -0.08492. Put -1, 226, -0.4, f in increasing order.\nAnswer: f, -1, -0.4, 226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-40) + 2\/(-8). Let j = -23\/2 + 11. Suppose -7 = 17*i - 58. What is the nearest to 0.1 in i, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 6*u - 5*u - 4*u - u + 3*u + (2 + 1 - 4)*(u + 4*u - 4*u))*(-29*u + 112*u + 189*u).\nAnswer: 1088*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -14 + (-18 + 8 - -22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139\/2, 5\/2, 15 in descending order.\nAnswer: 139\/2, 15, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1639, -1758, -1609, -1066, -3, 1706?\nAnswer: 4187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20)\/(3*sqrt(16)) + (sqrt(180)*1)**2*-6 + 1.\nAnswer: -1076 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, a: 1, h: 5, m: 3, c: 3}. What is prob of sequence hmcv?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-85)\/20 - 622\/(-8). Calculate the common denominator of (-2 + 158\/g)\/(6\/258) and -38\/33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtgvc. Give prob of sequence gv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -701752 + 701752 - 3*q. Let j(p) = 360*p**2 - 7*p - 11. Let z(h) = -181*h**2 + 3*h + 5. Let c(n) = 3*j(n) + 7*z(n). What is g(c(y))?\nAnswer: 561*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81750 and 1635?\nAnswer: 81750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6642 and 1476.\nAnswer: 13284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 388*t**3 - 397.\nAnswer: 1164*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 2. Let v = k - -4. Solve v*f = -0*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14 + 11 = 0. Suppose -3*o + 10 = -5, -5 = -y*q + 4*o. Suppose 36 = q*t + d, t - 3*d - 4 = -0*d. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 96.3. Let t = i + -26. Round t to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 28*l**2 + 2641*l - 7285. Give m(-97).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/32)\/((-2)\/12). Let n(r) = -r + 1. Let a be n(2). Let q be (1 - a)*1\/7. Sort s, 2, q in descending order.\nAnswer: 2, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.92295ng in milligrams?\nAnswer: 0.00004592295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/29*7\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 4:55 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*q - 1. Let s be 7\/q*(-9)\/(-9). Is s at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4548.4 plus 0.2145?\nAnswer: -4548.1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 47*h**8\/336 + h**5\/60 - h**4\/12 + 10*h**2 - 2. Find the third derivative of a(b) wrt b.\nAnswer: 2820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351700 divided by 2.\nAnswer: -175850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 - (16 + -12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:14 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110100110001001 (base 2) in base 10?\nAnswer: 289161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)\/3 - -56. Let y(h) = -2*h**3 + 2*h**2 + 9*h + 57. Let q be y(0). Calculate the greatest common divisor of q and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 21*f**2 + 8*f - 46. What is w(21)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 28 - ((-115 - -248) + -63)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273327 + -193216. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 16*z**2 + 2*z - 12. Suppose -b + v = -2*v - 22, -42 = -2*b + 5*v. Let m be y(b). Solve 0 = -4*k - 3*q - m, -q + 2 = -5*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b - 3161*b**3 - 2125*b**3 + 3624*b**3 + 24*b.\nAnswer: -1662*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 928*z**2 + 116736*z - 3022848.\nAnswer: -4*(z - 48)**2*(z + 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.464 + -0.574. What is the nearest to g in 3, 4, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:33 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 151. Let x(k) = k**3 + 99*k**2 + 71*k - 2726. Let c be x(-98). Is c equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -52*b**3 + 2*b**2 + 2*b + 1. Let l be (-1 - 0) + 10\/5. Suppose -2*o = 1 + l. Is i(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyoykxoyxoyyo. What is prob of sequence kxx?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(3 - 75\/20). Suppose 861 = 4*t - 5*f, -t + 0*f - 2*f = -225. Let s be l\/6 + t*5\/45. Solve -3*a = 2*r - 5, -s = 5*r + 2*a - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -1276?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262793391 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5113 + 2898 = 349*o + 7906 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59082, 59216, 59352, 59490, 59630?\n\"Answer: n**2 + 131*n + 58950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 735463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 2 + 48*g - g**2 - 50*g + 2*g**3 in the form h*g + f*g**2 + x + d*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:09 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6809*k**3 - 85*k**2 - 82*k + 2. Calculate g(-1).\nAnswer: 6808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 609632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose 0 = 2*c + d - 137, -3*c - d - d + 204 = 0. Suppose v = 6*b - b - c. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 - -1587. What are the prime factors of n?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/(l*((l\/(l*l\/l**(-2\/7)))\/l)\/l))**(-1\/15)\/((l**(2\/7))**(-35)\/(l*(l\/l**(-2\/3))\/l*l**(-2\/19))) assuming l is positive.\nAnswer: l**(38068\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from hnhhmhhhennhsemnhms?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013240 (base 6) in base 11?\nAnswer: 3364a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -832312 divided by 212.\nAnswer: -3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7958346 to the nearest integer?\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3420239.\nAnswer: 3420239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - y**2 - y**2 + (0*y - 2*y + y)*(-1 + 1 + 2*y) - 3*y + y**2 + 3*y - 6*y**2 - 2*y**2 + 2*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 1. Let a = -82 + 79. Let b = 7 + a. Sort 0.05, b, t.\nAnswer: t, 0.05, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24206991 by -78.\nAnswer: 8068997\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2997.1 + -2997. What is the smallest value in p, 2\/19, -10, -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16484.4 - 13341. Round a to the nearest 10.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/40 + w**5\/60 + 5*w**4\/24 + 7*w**3\/6 - w**2. What is the units digit of b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 4*q + 60, 5*q + 33 = -3*p. Let l = p - -20. Let i(b) be the third derivative of -b**5\/60 + 5*b**4\/24 - b**3 - b**2. Determine i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -2*t - 3*z - 0*z, t = -2*z + 147. Which is smaller: 142 or t?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1673*n - 1646*n = -351 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37d + -1?\nAnswer: -37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 1023066?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -38*x - 2273. Give r(-58).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209)*3 - sqrt(209)))\/(sqrt(44)*-1) + (sqrt(95)\/(sqrt(15)\/sqrt(3)) - sqrt(190)\/(sqrt(10) + sqrt(40))) + 3.\nAnswer: 3 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 8*d + 3*z + 185 = 0, 4*d - 355 = z. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*-11*(-5)\/330.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897101 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: Simplify (4 + sqrt(637)*-1 - (0 + sqrt(637) + sqrt(637))*-2)**2 + 3.\nAnswer: 168*sqrt(13) + 5752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2. Let v(b) be the third derivative of b**5\/30 - 15*b**2. Give d(v(p)).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2111?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 106\/(-10) - (-12)\/(-30). Let m(q) = -33*q + 4. Let n(l) = -65*l + 7. Let v(r) = y*m(r) + 6*n(r). Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 a factor of 259868421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6 + (11 - (-6 + 7)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3 + 3)*(1 + 2 - 2 + (1 - 3 + 0)*(-4 + 0 + 3)) + 3 - 3 - 4 - o.\nAnswer: -4*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2358 - 2355. Which is the smallest value? (a) -0.3 (b) -1\/8 (c) 1 (d) 27\/2 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6694, -13383, -20072, -26761, -33450?\n\"Answer: -6689*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 + 11*i**2 - 3*i + 3. Let y(v) = v**5 + 5*v**3 - 21*v**2 + 5*v - 5. Let n(d) = 5*k(d) + 3*y(d). What is the third derivative of n(g) wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 2 - (195 - 144)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - (-7 - (-40 + (8 - 0)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38483 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -16) + -68 + 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 882*d. Let m(t) = t**2 - 13. Calculate m(h(l)).\nAnswer: 777924*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n**3 + 5. Let f(l) be the first derivative of l**4 - l + 4. Let d(m) = 33*f(m) + 6*i(m). Differentiate d(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451a (base 13) in base 16?\nAnswer: 25b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - (3 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 2*q. What is r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22420 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: Product of -0.24 and 1209372.\nAnswer: -290249.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/23 + 5\/1. Let z(i) be the first derivative of 4\/5*i**5 - i + 0*i**4 - 5 + 0*i**3 + 0*i**u. Differentiate z(k) wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 25*p + 86. Let s be n(-4). What is c in 1\/2*c**2 - s*c + 3\/2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5428842 a multiple of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.096700145 to 4 decimal places.\nAnswer: -0.0967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v - 30 = 0. Suppose 5*w + 0*w = v. Let t be (-3)\/3 - 0 - -5. Solve 0 = w*n - t*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20*(z**18\/z)\/z assuming z is positive.\nAnswer: z**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -64?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 14) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23233*s**4 - 152*s**2 + 2*s - 4 wrt s?\nAnswer: -557592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a = 5 - 89 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -0.9. Let j = 0.2 + 0. Let d = -0.2 - -5.2. Which is the biggest value? (a) f (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1\/9 (c) 0.1 (d) -168 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846559889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -39050.\nAnswer: -39050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -730*b**2 + 750 wrt b?\nAnswer: -1460*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:05 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g - 10. Let n be (g - 3)\/((-2)\/4). Suppose 2 = -n*a - 6. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/7 (b) 1 (c) -291 (d) -0.4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + 13. What is the remainder when h is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/15)*x**(-3\/2))\/(x\/(x**4\/x)*x\/x**(1\/8)))**39 assuming x is positive.\nAnswer: x**(767\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -2667, -6075, -10815, -16869, -24219?\nAnswer: -32847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - 5*c**3 + 0*c**3 + (-c**2 - 4 + 4)*(2*c - 4*c + 4*c) + 0*c - c**3 - c**3 - c.\nAnswer: -5*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 2*c**4\/3 + c**3\/6 + c**2. Let r be u(6). Let m = r - 41. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z + 2 - 6*z + z)*(71*z - 68*z + 542*z**2 - z) in the form a + g*z**2 + j*z**3 + x*z and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.922283 centimeters to micrometers.\nAnswer: 9222.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + b - 999 = 2406, 0 = -f + 3*b + 1720. Suppose -s + f = 4*a, 5*a + 6 = 26. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957744 is divided by 2157?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 + 5.27. Let g = k + 0.13. Let m = -5 - -10. Is m smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/21*(-1376)\/(-24)*40\/(400\/(-35))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from ssxxx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 399.9 - 420. Let q = 234 - 254. Let x = q - n. What is the biggest value in 0, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2. Let s be 0\/(3 - (1 - 1)). Let l(f) be the second derivative of s*f**3 + 0*f**2 + 1\/4*f**4 - f + 0. Determine i(l(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t + 5 + 1501*t**3 - 498*t**3 - 517*t**3 - 4*t**4 - 509*t**3 wrt t.\nAnswer: -48*t**2 - 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282351 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43681493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 4*a - 2. Let h be q(-2). Let f(j) = 2*j - 2 + h. Let w(z) be the first derivative of z**3\/3 - 61. What is w(f(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**9\/1512 + j**8\/420 - j**6\/90 + j**5\/60 - j**3\/3 + j. Let z(g) be the second derivative of y(g). Factor z(s).\nAnswer: -2*s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, n: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/2 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5249 times -0.32\nAnswer: -0.167968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 21 + 6. Solve 0 = 4*i + g + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t - 195. Calculate i(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 145 - 61 - 57?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190408688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 + 16*a + 38 - 38 - 15*a.\nAnswer: 10*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from houohhhhhhhhhuhuh. What is prob of picking 3 h?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-2\/5))**(-12))**21)**(3\/17))**37 assuming y is positive.\nAnswer: y**(55944\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n. Suppose 0 = 3*c - 12 - n. Let g(r) = 4*r - 6. What is the units digit of g(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - 8*y**2 - 13*y - 29. What is v(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3576 divided by 2\nAnswer: -1788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/4)\/(-5)*-2*(-2)\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1645, -0.2, -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 53. Let y be r(0). Let z(h) = -53*h - 52*h**2 + 35*h**2 + y*h. Let p(c) = -3*c**2. Determine z(p(b)).\nAnswer: -153*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2 - sqrt(117))**2 - sqrt(13)) + sqrt(130)\/(sqrt(90) - sqrt(10)).\nAnswer: -sqrt(13)\/2 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 0, 0 = -2*f + 3*p + 2*p + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4\/3 - 614*g**3\/9 - 228*g**2 - 440*g\/3 + 896\/9 = 0. What is g?\nAnswer: -112\/3, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/2403 + -2399\/4806. What is the fourth smallest value in w, 4, -2, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1995\/(-2793))\/((-25)\/170)?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 3*j**2 - 133*j - 24. Let m be d(-13). Solve 5*t + 100 = -m*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2021500 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341267627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*i**4 - 52*i**4 + 54 - 2*i**3 - 3*i**2 - 16*i**2 + 3*i**3 - 62 wrt i?\nAnswer: -1848*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313783 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*q**2*w - 7032013*q**2 + 86124092*q*w wrt q.\nAnswer: -50*w - 14064026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) -427 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175229537 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -120086.\nAnswer: 360258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27) + (-182)\/(-9). Suppose 3*i - 10 = f. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8245 divided by 5.\nAnswer: -1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16*v - 50. Let f be z(33). Let k = -477 + f. Let n(w) = 2*w - 1. What is n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8366988 divided by -1195284\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 5*a + 26, a + 32*v = 27*v - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 121*s**3 + 330*s**2 + 192*s + 32 = 0.\nAnswer: -2, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o. Let w(p) = -p**2 - 3*p - 2. Let z(s) = -4*s + 5. Let k be z(7). Let q = 21 + k. What is q*v(y) - w(y)?\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55490 - 38497. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 2.6. Let n = -2 + w. Suppose 4*g + 16 = -2*o, 0 = -o + 3*o + 3*g + 12. Which is the closest to o? (a) 1\/3 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwhfgfhg. What is prob of sequence wghg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62611?\nAnswer: 17, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3325 less than -0.8542?\nAnswer: 3324.1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.84 - -8. Let t = 0.15 + -0.21. Let n = t + h. Is 0.2 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:54 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-12)*36816\/(-23600)*5?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 1242 - 150. Round f to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 2928363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 114.00903?\nAnswer: -570.04515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 95 - 5\/(15\/9). Let m = 113 - u. Calculate the highest common factor of 28 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43708 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504250 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/9)\/(-21*(-1)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5))\/(195\/325)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9685 + -1369. Does 54 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 32*z + 27. Let i(c) = -c**2 + 8*c - 7. Let y(v) = 9*i(v) + 2*p(v). Let o be y(-7). Let k = 32 + o. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let z(i) = -2*i**2 + 6*i + 6. Let t(o) = 6*n(o) + z(o). Let d(p) = p**2. Calculate t(d(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 79632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3434 - 552*v + 1716 + 1718 + (4 + 0 - 3)*(0*v - 3*v + v).\nAnswer: -554*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-620)\/(-108)) + 365\/219?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2465 + 909 + 920)*(2*j**2 - j + j).\nAnswer: -1272*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3318\/468 + -7)\/(91\/52).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 0 + 9 - 8. Let s(b) = 5*b - 1 + 4 - b. Give -s(d) + 3*z(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28802506 + 28802506 + 29596*j to t*j + g and give t.\nAnswer: 29596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 601*m + 3597\/2.\nAnswer: (m - 1199)*(m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**7\/165 - 401*o**6\/660 - 1619*o**5\/330 - 1543*o**4\/132 - 106*o**3\/11 + o**2 + 1371*o - 1. Suppose w(c) = 0. Calculate c.\nAnswer: -53, -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -0.017265671.\nAnswer: 14.017265671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4929707339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16839*q**4 - 3*q**2 - 230133*q wrt q.\nAnswer: 202068*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21520255 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-5*o**3 + o**3 + 6*o**3) + (-3*o**2 + 3*o**2 + 2*o**2)*(-2*o + 3*o - 4*o).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-19)\/5 - -4)*(-2 + 7). What is the nearest to x in 2\/5, 5\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4102 + 2 - (5 - 5). What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b - 7. Suppose 29 = 2*w - 3*q - 25, -4*w - 4*q = -68. Let o = -16 + w. Give n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1107751767 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 144 - 44. Suppose o*l = 21*l + 12. Let g be 3\/l + (-2)\/(-8). Solve g = 3*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1413*u + 25535 = 430*u - 2110 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6015776 and 1851008?\nAnswer: 24063104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a1 - -1b34?\nAnswer: 1bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**2*g**3 + 2*d**2*g**2 + 216137*d**2*g - d**2 - 3*d - 2510700*g**4 - g**2 wrt g.\nAnswer: 102*d**2 - 60256800*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 628379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1933*h - 56189 = 32729 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g - 2. Let r be a(-8). Let b(z) = z + 2*z**2 - 2*z + 1 + 2*z. Is b(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2840*s**3 + 2840*s**3 + 4248*s**3.\nAnswer: 9928*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*x - 1 = -90 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c8e6 (base 15) in base 7?\nAnswer: 13154430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/((-207)\/(-184)*(-4)\/3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x**3 - 32*x**2 + 7*x + 4. Let v be r(4). Calculate the greatest common divisor of 42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05334 (b) -3 (c) -0.2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3290, -3933, -4594, -5279, -5994, -6745?\n\"Answer: -t**3 - 3*t**2 - 627*t - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899225649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 0*o**3 + o**3)*(1 + 4 - 3)*(-2 + 0 - 8).\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2*d**4)**(-1\/35)\/(d**(1\/6)\/(d*d**(-6)\/d)*(d*d**(2\/15))\/(d\/d**0*d)) assuming d is positive.\nAnswer: d**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-2)*a**(-3\/5)\/a)\/((a*(a\/a**(2\/41)*a*a)\/a*a*a*a)\/a**6))**(-33) assuming a is positive.\nAnswer: a**(3729\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5758*l = 5756*l - 84, 0 = -a - 10*l - 392 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13326068909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.777418ms to hours.\nAnswer: 0.000023271505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -153, -138, -91, 6, 171, 422, 777, 1254?\n\"Answer: 3*b**3 - 2*b**2 - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 - 12 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000851255284 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 5:56 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.8. Let d = 2 - p. Which is the nearest to 0.2? (a) 1\/4 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 679506408 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 5*x**2 - 3*x**2 + 5 - 1 + 45*x**3.\nAnswer: 43*x**3 + 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1688 - -956. What are the prime factors of i?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003840.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 4 + 5 - 3*l**3 + 4*l**3. Suppose 26 = 3*n - 5*x, 0 = 3*n - 4*n + 4*x + 11. Suppose -2*p = -n*p + 5. Give d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1512 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146258700.\nAnswer: 2, 5, 619, 34673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahavavha. What is prob of sequence aa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 6*k - 11. Let z be l(-5). What are the prime factors of ((-296)\/z)\/(-8*(-1)\/12)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1664)\/28288)\/((-14)\/(-102)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 5.1 (c) 1\/2 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36172 and 144.\nAnswer: 1302192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 16\/2)\/(-8 - -18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2951, 2603, 2075, 1373, 503?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 3 + 3*n**2 - 5*n + 0*n**2. Suppose -l + 16 = 3*l. Suppose -q = 5*m - 6*q - 45, -l*q - 31 = -3*m. Give o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454 = -46*z + 1282 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410847094 to the power of 1\/3, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.17, 1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 4*x - 5*x)*(1 + 3 + 1) + 1 - 1 - 3*x - 2*x + 15*x - x + (x - 1 + 1)*(-2 + 2 - 1).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let s be (-7)\/((-14)\/4)*5. Let v(c) = -6*c**2 + s*c**2 - 2*c**2. What is v(m(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 174*p + 121. Is t(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1187380*-1.\nAnswer: -1187380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3\/h)**(-47))**39*(h**(-5)\/(h*h**(1\/5)))**(-9\/5) assuming h is positive.\nAnswer: h**(-137196\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -343 - -356. Solve p - l = -6, 4*l - 7 = 2*p + u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -18*b - 1004. Calculate the common denominator of -55\/28 and ((-2)\/294)\/((b\/4242)\/2).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*a + 5828 = 0, 118*i + 4*a = 123*i - 14524. What are the prime factors of i?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {b: 2, w: 5, n: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115943 - 318643. What is j rounded to the nearest one thousand?\nAnswer: -203000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6182 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7*k)\/(k\/(k**(-5)*k)*k*k))**(-2\/29) assuming k is positive.\nAnswer: k**(-4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u*w**2*x + 13*u*w**2 - 3*u*w*x - 3*w**2 + 19*w*x with respect to u.\nAnswer: w**2*x + 13*w**2 - 3*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 = -1. Let j be (6\/8)\/(m\/272). Let q = j - -71. Solve -6*f + 2*f = -q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*x + 11410 = -4*x - 91*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u = -233*u - 5364 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + 0 + 100014746\/(-488). Let u = q - -49597329\/242. Calculate the common denominator of 61\/2 and u.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.01, -16, 4, 3, -1\/6, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2575*i - 678*i + 146*i - 186*i - 1947*i)*(2 - 2 + 6*i).\nAnswer: -31440*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggv. What is prob of picking 1 v and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - -46 - (-12)\/4*-1 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 4*c - 28. Let k be y(-11). Is k > 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*k + 961 - 1005, 2*k + 259 = -91*b for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1641 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*1 + sqrt(384) + sqrt(384))\/sqrt(12) - (sqrt(180)\/sqrt(490) + sqrt(18))\/sqrt(9).\nAnswer: 76*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -12*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 42*v + 57392 = 0. List the prime factors of v.\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637562501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-23 - (-4 - (-7 + 12)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 461*h**5\/60 + 182*h**2. Let d(a) = -2*a. Determine i(d(v)).\nAnswer: 1844*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/54117 and 77\/517977.\nAnswer: 3625839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 - 885*f**3 + 6081*f**2 - 9519*f + 4320 = 0.\nAnswer: 1, 5, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65398 is divided by 297.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 32847 in decreasing order.\nAnswer: 32847, 11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u + 150 = -22*u. Solve -u*q - 2*t = -22, -t = 2*q - 5*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**7\/a)\/a)\/a*a\/a**12 assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3)\/((-4988)\/10234 - 9\/(-21))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25304 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84574 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12)\/sqrt(4) - (sqrt(3) + (sqrt(3) - (sqrt(9)*-1)\/sqrt(3))).\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123.9645 - 124. What is m rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**5\/60 - 11*a**4\/24 + 39*a**2\/2 - 49. Let b(x) be the second derivative of d(x). What is b(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(16*(-5)\/(-480))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3582713 and 17913564\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 4*f**2 - f**4)*(0*f + 3*f - f) - f**4 + f**4 - f**5 - f**5 + 3 - 3 + f**5 + f**2 - f**2 + (3 - 3 + f**2)*(-5*f**3 + 0*f**3 + 6*f**3).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**3 - 138 + n**3 + 14*n**3.\nAnswer: -3*n**3 - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 114148 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 3109 = -3005 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 - z**4 + 6*z**4 + (-4 + 4 - z**2)*(0*z + 0*z - 2*z**2))*(1 - 1 - 2*z)*(-9 + 10 - 5).\nAnswer: 40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10202.18 to the nearest 10.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.78894 - 7.82. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: How many minutes are there between 10:33 PM and 1:57 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 2*z**2 - 1201. Determine s(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -45*p**3 + 17255*p**2\/2 - 412320*p - 115200 = 0.\nAnswer: -5\/18, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 633*j - 7 + 12.\nAnswer: -633*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w - 2*j + 15, -10 = 2*j. Suppose -i + 2*m = -0*m - 155, -5*i = -w*m - 790. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 32649 = -32061 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2040800 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*t + 8296656 = 281*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 480*u + 27832.\nAnswer: 2*(u + 98)*(u + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + 257\/(-4). Let v be ((-3)\/(-2))\/((-6)\/o). Solve 3*k + v = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9 and 63.\nAnswer: 182.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 1.716.\nAnswer: 1.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 4*k, 0 = 7*q - 12*q - 2*k + 27. Solve -5*h - 11 = -4*b + q, 3*h = -b - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3027 - -1.6973. Which is the fifth biggest value? (a) -0.4 (b) -1\/7 (c) 0.1 (d) -0.18 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -48\/7*z**2 - 38\/3*z**4 + 4*z - 4 - 7\/5*z**5 + 328\/21*z**3. Factor m(s).\nAnswer: -4*(s + 6)*(7*s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 4*r**3 + r**3 + (r + 2 - 2)*(3*r - 5*r**2 - 3*r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 16*k + 3. Suppose 7*d - 4*d - 51 = 0. Let m be q(d). What is the second derivative of -12*y - m*y + 44*y**2 - 28*y**2 wrt y?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2580 and 733940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 2*g + 1. Suppose c - 12 = 5*c. Let q be l(c). Let j = -2 + q. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtnm when four letters picked without replacement from mtwmcimminnn.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(5 - 7). What is the second derivative of 3*z**3 + z - 9*z**g + 2*z wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2205*j - 44612 = -11*j + 303*j - 7157 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let u(z) be the first derivative of -z**4\/4 + z**3 + 3*z**2\/2 + z - 4. Let v be u(4). Let y be c(v). Sort -4, -5, y in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117624690 divided by 7841646?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y. Let l(f) = 8*f. Let z(d) = -3*j(d) - 4*l(d). Let h(g) = -15*g**2. What is z(h(r))?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 - 4*g - 6. Let w be v(6). Suppose s + 2 = t, -t + 0*s - w = s. Let a = t + 32. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**28\/(b**(1\/14)\/b)*(b**(-4\/3))**(-37) assuming b is positive.\nAnswer: b**(3287\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 12)\/(-3)*-1. What is the third derivative of 0*x**3 + 3*x**2 - x**d + 3*x**3 - 6*x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2580000 divided by -4?\nAnswer: 645000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:55 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -7, -15, 7.\nAnswer: -15, -7, -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1\/4, -7, 0, -5 in descending order.\nAnswer: 0, -1\/6, -1\/4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -51*h**2 - 10*h - 11. Let t(d) = 10*d**2 + 2*d + 2. Let i(r) = -11*t(r) - 2*x(r). What is the second derivative of i(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76\/1335 or -1?\nAnswer: -76\/1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -468*o - 25*o + 33*o to the form l + d*o and give d.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Suppose -z*h - 3*u = -9, 7 = 5*h + 2*u + 1. Suppose -2*f + 1 = -l, h = -f - l + 9 - 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8852, 36594, 83268, 148922, 233604, 337362?\n\"Answer: 8*g**3 + 9418*g**2 - 568*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1870 not equal to -1873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -10. Suppose -3*b = -3 - f. Suppose 0 = -57*a + 58*a - 2. Calculate the remainder when b is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.7008181 - 0.5.\nAnswer: -111.2008181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123062.35 rounded to the nearest 100?\nAnswer: -123100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 5369.\nAnswer: 5369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -11*f**5\/20 + 63*f**4\/8 + 9*f**3 + 260*f**2 - 3. Find m such that k(m) = 0.\nAnswer: -3\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t + 71. Calculate b(-17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {k: 4, j: 6, m: 1, v: 2, x: 1, p: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 44. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001010100110111111 (base 2) to base 9\nAnswer: 2483518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -540, -536, -530, -522, -512, -500?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. What is the remainder when (-6)\/7*245\/(-70) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*r - 39287 = -4712 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8*z**2 + 3*z**2 + 30578*z + z**2 + 3*z**2 - 30685*z as n*z**2 + p + y*z and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 5. Let y be (1 - 2)\/(2\/(-4)). Solve o*x = y*s, -x = -6*s + 2*s + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1261538 + 2151519. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241810168001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*u**4)*(16*u - 10*u - 477 + 10*u - 15*u).\nAnswer: -3*u**5 + 1431*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 11:55 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b + 9*b + 6*b**2)*(-2300 - 1474 - 2207 - 3012 + 105) in the form x*b + s + v*b**2 and give v.\nAnswer: -53328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = 2*i. Calculate the common denominator of i\/(-16) - 226\/(-88) and 36\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 32. What is the remainder when (-345)\/(-5) + 2*-1 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 + 370*s**3 - 942*s.\nAnswer: 20*s**3 + 2220*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988 a factor of 406003810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69271431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -36\/67?\nAnswer: -36\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*o + 1, 5*o + 2*h = -1 + 3. Put -5, o, -26\/5 in decreasing order.\nAnswer: o, -5, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 241\/5 + 4 + 3\/(-15). Is 5\/(-4) + 58305\/v a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 4*h + h)*(-3*h - h + 2*h) + 8*h**2 + 2*h**2 + 16*h**2.\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9887, -1, 0.5 in decreasing order.\nAnswer: 9887, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 21192727.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 306*h - 302*h - 2*n, 5*n + 39 = -17*h. Let k(l) = -7*l - 29. What is k(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -1 - 1)\/(6\/24). Which is the third smallest value? (a) y (b) 64 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 730054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.03. Let h = -1.07 + z. Let b = h - -0.94. Round b to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/(-87))\/(19475\/285)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21791 divided by 1?\nAnswer: 21791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - 7*s**2 + 6*s**2 + 4 + (-s - s + s)*(18 - 18 - 255*s) - 3*s**2 - 5 + 5 as g*s + h + r*s**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-8)\/(-2). Suppose -j + 3 = -v, 2*p - v - 635 = 0. Let f = -125 + p. Calculate the greatest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -361, -1263, -2709, -4699, -7233?\n\"Answer: -272*b**2 - 86*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1312.649 + -1312. Let n = h - -0.141. Let a = n - 0.09. Round a to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(75)*-2 + 0)*5)*-2*2.\nAnswer: -40 + 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Let s(c) = c**3 - 2*c**2 + c + 4. Let k be s(0). Solve -k = -q*b + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*g + 16 + 179, -3*y + 5*g = -179. Let s = 7 + -5. Find the third derivative of 9*j**5 + 128*j**2 - y*j**2 - 66*j**s wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 - 2*l**2 - l**2 + 1 - 1 + (4*l - 4*l - 3*l)*(-5*l - l + 4*l) + (l**2 - 2*l**2 - l**2)*(-1 - 5 + 3) + 0 + 0 - 2*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2 + 6*l - 30. Does 23 divide g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/4 - 1164*x + 366075\/4 = 0 for x.\nAnswer: -1627, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*m = 0, -2358*m - 2 = 5*p - 2362*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/((-6)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + 0)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 - -123. Factor 6*p**3 - 5*p**3 - 4*p**4 + l + 9*p**4 - 15*p**2 + 7*p.\nAnswer: (p - 1)**2*(p + 2)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 7. Suppose -2*w + 4*w + 3*l = -21, 2*l + 18 = -2*w. Let x be o(w). Sort -3, -4, x.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 - -179. Let s = x - 28. Is s less than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56949873 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - -1. Suppose 41 = 3*h - 5*x, -5*h - x + 74 = -c. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdr when three letters picked without replacement from {d: 8, r: 6, c: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8953 + -8958. Let m(j) = 5*j**2 + 12*j - 4. Let p(o) = -6*o**2 - 13*o + 5. What is t*m(l) - 4*p(l)?\nAnswer: -l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3442 + -3440. Solve 5*j - 15 = 5*k, 30 = -5*k - a*j + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 - 105.9. Let j = 2.1 - m. What is the smallest value in j, -2\/13, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**3 - 3*r**2 + 3*r + 2. Let l be w(-5). Let c = l + -1170. What are the prime factors of c?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -2*y, -5 + 13 = -2*p. Is 4208 - (1 - y)\/(9 - 8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 18. Let c(g) = g**2 + 2. Let o(y) be the second derivative of y**4\/4 - y**3\/6 + 5*y**2\/2 + 9*y. What is s*c(i) + 2*o(i)?\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 1886.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((27\/(-6))\/1)\/((-51)\/34). Let y(f) = -6*f**3 - 5*f**2 - 2*f + 2. Let b be y(-3). Factor b - 3*k**3 - 3*k**2 + 18*k**2 + 22*k - 97*k + 2*k**a.\nAnswer: -(k - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(693) + (sqrt(693)*-1 - sqrt(693)))*3)\/((-2*sqrt(88))\/sqrt(8) + (sqrt(99) + sqrt(99) + sqrt(99)*2)\/sqrt(9))*-3.\nAnswer: -81*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 68*i**3 + 8*i**2 + 24*i + 9. Let g(b) = -23*b**3 - 3*b**2 - 9*b - 3. Determine -8*g(l) - 3*y(l).\nAnswer: -20*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-24)\/3232). Let d = g + -85. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 7*f**2 + 5*f + 3. Let q be h(6). What are the prime factors of 6*(q - 20\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086147 rounded to four dps?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 3*c - 4*w, -c = -w + 90 - 31. Let j = -35 - c. Suppose 17*x = 12*x + j. Solve -3*l + 0*d = d + 7, -d - 11 = x*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12 - -2) + -17 + (-16 - -26).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*g - 11. Suppose 5*m + 180 = h + 4*h, 3*h - 102 = -g*m. Suppose -a + 6*a = h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b + 2903. What is i(-38)?\nAnswer: 2561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(6\/7)*b**(3\/5)*b)**(-34))**33 assuming b is positive.\nAnswer: b**(-96492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -118 - 5?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*i + 48 = 185, q - i - 66 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k + 23*k. Let z be ((-63)\/28)\/(3\/(-8)). Suppose 5*t + 3 = z*t. Solve k - t = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 22. Let z be j(10). Let l be (3\/z)\/(-1)*2. Find the first derivative of -15 + l*d**4 - 3 - 2 + 23*d**4 wrt d.\nAnswer: 104*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 1. Suppose 4*u = 5 - b. What is the units digit of u + 4 - (-2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 7. Let h(s) = 2*s**2 - 3*s + 3. Let w be h(2). Let d be c(w). Suppose -20 - 60 = -d*o. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-156)\/(-18) - 7)\/(1\/6) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*t**2 - 223 + 283*t - 285*t + 21*t**2 with respect to t.\nAnswer: -64*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 57 + 219. What is the remainder when 269 is divided by f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-264))\/((-13)\/((-3575)\/100)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 376 - 405.2. Let s = a - -29.2000231. Round s to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1326133 (base 7) to base 9\nAnswer: 286047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - (-1 + 80\/(-36)))*(-3)\/(-10) and 91\/2286?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 s, and 2 e when four letters picked without replacement from {e: 5, s: 1, f: 1, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 + -286. Suppose -3*r + 17 = -2*x, 0*x - 2*r + 7 = 3*x. Are x and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n. Let t = 1.2185 - 1.4185. What is the nearest to 1 in 0.1, t, 4, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbjjrjppjjbr. Give prob of sequence bb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0583 * -28\nAnswer: 1.6324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/40)*(q*q**47*q)\/q*q assuming q is positive.\nAnswer: q**(1959\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-6))\/5*-12. Suppose -r - 70 = -x*r. Suppose -2*l + 5*f - r = 0, 2*l + f - 7 = l. Solve 2*d = -l*h - 0*h + 17, -2*h - 3*d = -18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*n - 0*n. Let f(z) = -2*z**2 - 2*z + 13. Let j(k) = -3*k**2 - 3*k + 19. Let q(g) = 4*f(g) - 3*j(g). Give q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) 3\/95 (c) 0.2 (d) 0 (e) 3 (f) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v**3 - 1\/24*v**4 + 0*v - 2*v**2 + 0. Let s(o) be the first derivative of -o**3 + 24. Give k(s(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*g - 0*z - 47, -g - 161*z + 21 = -163*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 71668*z + 1284075556.\nAnswer: (z + 35834)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 1612.\nAnswer: 17732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111.1 + 117. Let s = 0.1 + k. Let a = s - 8. What is the closest to a in -0.1, 2, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n. Let s(f) = f**2. Let j(w) = -4*s(w) - 2*x(w). Factor j(h).\nAnswer: -4*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13138933?\nAnswer: 13138933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 304.2193 millilitres?\nAnswer: 0.3042193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 28*q + 36*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 338?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/16 or -6?\nAnswer: -105\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u - 7*u - 3*u)*(8*u**3 - 8*u**3 - u**4 + (0 + 2*u**2 + 0)*(3*u**2 + 2*u**2 - 3*u**2) - u**4 + 4*u**4 - 4*u**4 + u**4 + 3*u**4 - 2*u**4).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 + 0 - 8\/13*s**4 + 0*s - 6\/13*s**5 - 2\/13*s**3.\nAnswer: -2*s**3*(s + 1)*(3*s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 631025.\nAnswer: 3\/631025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 1, w: 2, v: 7, m: 2, x: 2}. Give prob of sequence erm.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 4*r**3 + 8*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 627982811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - u - 551 + 551.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2019344732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499911?\nAnswer: 7, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 199696553 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 565 = -235. Let b = 314 - t. Let i = 180 - b. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 4*s**2 + 50*s**2.\nAnswer: 41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1 - 1) + (-11 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 43. Suppose -3*f = -2*w + 9, 0 = -2*w + 2*f - 4*f + n. What is the units digit of (w - 15\/(-5)) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(14 + (8 - (-335)\/(-15))). Is 2\/4761 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5304873366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 586 + -585.9655. Round l to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*12\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:30 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t - 744*t**5 + 2*t + 725*t**5 wrt t?\nAnswer: -380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 59*l - 98 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21934765 and 3435.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + -1 + ((sqrt(240) - (-5*sqrt(240) + sqrt(240)))\/sqrt(10) - sqrt(24))\/(-4*(sqrt(12) - sqrt(768))).\nAnswer: sqrt(2)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 + 3*j**3 - 3*j**3 + 3*j**4 + j**4 - 3*j**4 + (3*j**2 - 2*j**2 + j**2)*(-j**2 + j - j) - 2*j**4 + 0*j**4 + 0*j**4 - 2*j**4 + 0 + 0.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 440, 893, 1346, 1799?\n\"Answer: 453*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 0*v**2 - 8\/15*v**3 + 0*v - 1\/5*v**4 + 1. Suppose x(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - 5669bc9?\nAnswer: -5669b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*h = -13*p + 2*h - 99, -6 = -9*p - h - 83 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -76660015.16538.\nAnswer: -76660015.66538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - u - 18. Determine j(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*s = 458 + 326 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873000 is divided by 311?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - 11*q - 5 + 4*q - 13 to the form a*q + s and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -45.02. Let l = -1.4 + 1.32. Let y = g - l. Which is smaller: -13 or y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.426825 to 3 dps.\nAnswer: 0.427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 28 + 28. Let z(j) = -j**2. Determine z(b(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3)\/((-5)\/(-15)). Let c(s) = s**2 - 10*s - 7. Let r be c(10). Let x = r + 9. Solve 3*t - x*q - 15 = 0, 0*t - 2*t + g*q = -21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1. Let v(f) = -f**2 + 5*f - 6. Let z(g) = 4*j(g) + v(g). Let t = 65 - 59. Let b be z(t). Is b at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i + 6. Let o(q) = 6*q - 7. Let y = 78 + -26. Let a = 60 - y. Suppose -a*l + 10 = -6*l. Give l*k(x) + 4*o(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + -3.89. Let p = w + 4.06. Let r = p - -1.94. Is -1\/2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 2:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907*f + 733*f**2 + 907*f.\nAnswer: 733*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/(-40))\/((-3)\/8). Let v be 16 + (-1)\/2*c. Let h = 44 - v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p + 2. Let f be k(-2). Suppose 1 = 5*b + 4*v + 7, 18 = 5*b - f*v. Differentiate b*s - s - 1 - 2*s wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129456985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -281273.02.\nAnswer: -281274.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12*q + 1. Let f(u) = 13*u - 1. Let c(p) = -5*f(p) - 6*z(p). Let x(m) = 2*m. Suppose 0 = 2*h + 199 - 195. Determine h*c(k) + 6*x(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 852*p + 3405. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1628 - 8.1708. Let d = 8 + y. What is d rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 179\/(-1432) + (-3738)\/48?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144831514 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -791, -802, -827, -872, -943?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 542 + -530. Let r be ((-32)\/(-3))\/(6\/63). Let f = 786\/7 - r. Which is the third smallest value? (a) h (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from yigibbigeeebgbebbj.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*o - 35717 + 35717 + (51 - 51 + 8*o)*(4 + 2 - 3) in the form x*o + q and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 4*i = 16*i - 156. Solve -5*y + 4*b - 30 = 0, -3*y = -y - i*b + 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16418, 65617, 147620, 262427, 410038, 590453?\nAnswer: 803672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833338.\nAnswer: 2, 11, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/3 + 21320*p\/3 - 149387 = 0 for p.\nAnswer: -21341, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -2) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.67 less than or equal to -123730.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -24, -3, -5, 22, 2, 112 in increasing order.\nAnswer: -24, -5, -3, 2, 4, 22, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - (-4 + 7) - 1 - (-10 - -10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 6. Let m(p) = -9*p - 7. Calculate 5*j(v) - 4*m(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 265650 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Suppose -4*y + 8 = 4*o, -n*y = -3*o + y + 6. Solve o*c = c + w + 7, -3*c = 4*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + y + 21 = 0, 12*b = 7*b - 2*y + 46. Put 2, -1, 4, b in decreasing order.\nAnswer: b, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33305433 (base 6) to base 3.\nAnswer: 1220000201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1633 divide 8908015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) -143 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/5 - (-12)\/(-15)*1. Suppose -7*s = -5*s + t. What is the closest to -0.4 in 0.2, 4\/9, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23353963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 2:10 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:53 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -18*h**2 - 71*h - 10. What is d(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/(-12) + (-2)\/(-6). Solve -5 - h = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2. Suppose u = 4*u. Let s = u - -2. Let r(o) = o + s*o - 2*o. Give r(x(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3. Let r(k) = -2*k**3 + 3*k + 23. Give -r(d) + w(d).\nAnswer: d**3 - 3*d - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 5. Let y be r(0). Suppose -y*f + 27 = 7. Let l be (0 - 0) + 4 - -1. Put -4, l, f in decreasing order.\nAnswer: l, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 18*c**2 - c + 11. Let g(b) = -39*b**2 + 2*b - 23. Let p(v) = -3*g(v) - 7*q(v). Let l(t) = 13*t**2 - t + 12. Calculate 5*l(d) + 7*p(d).\nAnswer: 2*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442 by -656.\nAnswer: 221\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 636 - 4*r + 133*r**2 + 9*r + 148*r**2 - 280*r**2 to the form i + y*r**2 + d*r and give i.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 8, v: 6, m: 2, y: 2, j: 1}. What is prob of picking 1 w, 1 v, and 1 m?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 - 4849*f - 17. Let d(o) = -o**2 + 808*o + 3. Give 34*d(t) + 6*h(t).\nAnswer: 2*t**2 - 1622*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*x + 13. Suppose x*b = 2*b + 36. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**3 - 8*a**2 - 12*a - 14. Let w(b) = 3*b**3 - 8*b**2 - 2*b - 9. Let l(c) = c**2 - 2*c. Let k(n) = -3*l(n) - w(n). Calculate 8*k(d) + 5*x(d).\nAnswer: d**3 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 14. Suppose -2*s = d, -2*h = 5*s - 8 + 26. Is -2\/9 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + b64b?\nAnswer: b652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 0 - (-1 + -12 - (-372 + 362))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 77. Let v = 63 + j. Suppose -3*x - 15 = -3*r, r + 5*x + 19 = v*r. Solve -3*u + 3*f + 3 = 0, f = r - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -299, -412, -535, -674, -835?\n\"Answer: -o**3 + o**2 - 109*o - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v = -550. Let r = 665\/6 - v. Suppose 0 - 8 = 4*p. What is the smallest value in r, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -124 + -5?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + (1 - 76\/12). Let l be (16\/5)\/(s\/(-15)). Find k such that -40*k - l*k**3 + 12*k**3 - 34*k**2 - 8 - 12*k**3 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + (2 - 2) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2286 - 2622. Suppose -3*h = -2*h + 1. What is the tens digit of (-3)\/h - (-13)\/((-104)\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.51203*1.\nAnswer: 4.51203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2653 (base 7) in base 8?\nAnswer: -1772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - ((91 - 41 - 33) + -18 + 2).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n**2 - 13*n**2 + 0*n**2 + 14*n**2 + 25*n**2 + 4*n**2 + (-2*n**2 + 2 - 2)*(1 + 0 - 2))*(-21 + 1 + 5) as u*n**2 + l + i*n and give u.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-8 + 19 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91390634 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*x + 10 - 17, 3*l - 13 = -5*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 27*a + 37. What is o(-29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126253, -252501, -378749, -504997?\n\"Answer: -126248*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30367424.\nAnswer: 2, 474491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 2\/3 (b) 2 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i + 9. What is the tens digit of g(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35477 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 122 = 14. Solve -x + 8 - t = 4*r, -2*r - x - 9 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 180475133, 180475135, 180475137, 180475139?\n\"Answer: 2*x + 180475131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*s**3*y + 14*a*s**2*y - 383*a*s*y + 2*s**3*y + 414*s**2*y - 7*s*y wrt a?\nAnswer: s**3*y + 14*s**2*y - 383*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**8*g*g**(7\/5)\/g*g assuming g is positive.\nAnswer: g**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1 + (-18)\/(-15)). Suppose -k + 0*z + z = 7, 23 = -3*k + w*z. List the prime factors of ((-9)\/k)\/((-2)\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 + 103. Which is greater: l or -86\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 less than 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 0 - 11\/(88\/(-2072))?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59456 divided by -29728?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*u - 20 = u, -5*f = -3*u - 27. Let p(d) = -4*d**2 - 17 - f*d + 1 - 5*d**3 + 9 + 6*d**3. What is p(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00129375 rounded to 6 decimal places?\nAnswer: 0.001294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + t**3 - 4*t**2)*(-2*t**2 + t**2 + 0*t**2 + (-2*t**2 - t**2 + 4*t**2)*(4 - 3 - 3) - 6 - 21*t**2 + 6).\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 946429388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96389 is divided by 6477.\nAnswer: 5711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 2156*c**3 - 532*c**3 - 592*c**3 - 538*c**3 - 4*c**2 - 487*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/96 + u**5\/48 + 2*u**2 + 4*u - 51. Let c(q) be the second derivative of h(q). Solve c(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 21 = -2*v, -v + 0*f = -f - 9. Let a = -9 + v. What is the remainder when 31 is divided by 52\/5 - a\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 322*u**3 - 2*u**2 + u. Let z be o(1). Suppose b + 2*b = -z. Let l = -57 - b. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 11*m**2 - 24*m + 38. Let w be (9 - 25)*1 - (1 - 4). What is the remainder when 81 is divided by x(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 6.26815?\nAnswer: 7.26815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*f**5\/6 - 3743*f**4\/3 + 1017*f**3 + 63998*f**2\/3 + 131645*f\/6 + 2875 = 0. What is f?\nAnswer: -3, -1, -2\/13, 5, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkktsk. What is prob of sequence tk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50495181 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232.17 - -1752.87. What is a rounded to the nearest 10?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505409950?\nAnswer: 2, 5, 71, 142369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080209?\nAnswer: 13, 83093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*i - v - v, -i - 4*v = -20. Let c be -8*(-3 - (-8)\/i). Let q be (35 + -34)\/(-1 - (-33)\/32). What is the greatest common divisor of c and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18755 = -1309*q - 17897 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 3. Let q be h(2). Suppose -5*f = q*g - 30, -2*g + 3*g - 8 = -2*f. Solve -2*u + 4 - 2 = f*t, 4*u - 16 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/132)\/((-18)\/(-198)). Solve -u*c = 3*i - 34, -254*c + 5 = 5*i - 256*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 665 + -647. Which is the third smallest value? (a) 0.01 (b) h (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*o = -7*v + 358, -4*v + 350 = 10*o. What is the lowest common multiple of 90 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -39. Let q be ((-5)\/k)\/(2\/(-8)). What is the nearest to 1\/4 in 2, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 137246729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 - 0)*(-5)\/30*3. Calculate the greatest common divisor of 116 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1661 and -0.2.\nAnswer: -0.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 24*u**4 - 24*u**2 + 11*u. Let p(k) = -5*k**4 + 5*k**2 - 2*k. Let z(g) = -11*p(g) - 2*t(g). What is the third derivative of z(n) wrt n?\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 183*b - 362 = 0. Calculate b.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 1776 = 13*s. Let v = -625 + s. List the prime factors of v.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 - 2*a**2)*(42 - 756*a - 50 + 8).\nAnswer: 1512*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + (sqrt(2448) + sqrt(2448) + (-3 + sqrt(2448) - sqrt(2448)) - sqrt(2448)))**2*1.\nAnswer: -144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3501, -7004, -10507, -14010, -17513?\nAnswer: -21016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12492?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104222, -4, -1, -3, 6.\nAnswer: -4, -3, -1, 6, 104222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2443 times -382.8?\nAnswer: 93.51804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 - 2*k - 11. Let c be (0 + 7 + 1)\/(-1). Let z be i(c). Let d(s) = -2*s**3 + s + 1. Let g be d(-1). Solve g*p - 3*p = -z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:51 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24532?\nAnswer: 2, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 7*c - 34*c - 29*c + (-3 + 1 + 3)*(2*c + 0*c + c).\nAnswer: -58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -8, 1, 51, 3187\/7, 2\/9?\nAnswer: 3187\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 - 121 - 17*m + (0*m - m - m)*(-6 + 3 + 2) + (4*m - 3*m + m)*(36 - 18 - 121) to the form g*m + y and give g.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61563341 a multiple of 1897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -6715597 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16 = -l, 3*g - 2*l - 24 = l. Let b = -2 + g. What is the lowest common multiple of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 27*b + 88. Give w(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.4133237 to 1 decimal place.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07666953 to 3 decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 <= 261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (27 - 16 - (1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*q = 3*o + 36, 0 = -2*o - 3*q - 2. Factor -4*l**4 - 19*l + 3*l**3 - 22*l - 31*l**3 - 60*l**2 + o*l.\nAnswer: -4*l*(l + 1)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1761104 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 917 - 914. Let o(w) be the first derivative of 0*w**z + 0*w + 0*w**5 + 1\/36*w**6 + 1\/12*w**2 - 1\/12*w**4 - 2. Factor o(i).\nAnswer: i*(i - 1)**2*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4445*5\nAnswer: -22225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-9)*1438\/(-15099).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 583703, 1167405, 1751107?\nAnswer: 2334809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = 8*p + 67. Suppose 2*q + p = 7*q. Suppose -3*h + 109 = 2*s, 2*h = 6*h + 3*s - 146. Solve 2*n - 2*y = -y + q, -5*n + 5*y = -h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413536 take away -4057?\nAnswer: -1409479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4448314.9 to the nearest 1000.\nAnswer: -4448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = o. Let b = o - 14. Solve 5*i + 3*m - 2 = b, -4*m - 1 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*-419.839\nAnswer: 11335.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 102399276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 452*y + 11929. Let u be n(25). Let w(a) = 4*a - 3. Let i be w(2). Put i, 9, 0, u in descending order.\nAnswer: 9, i, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 8 = -2*i, -5*m - 8 = i - 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxxvvefevjvjejgvveg. Give prob of sequence gxx.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxsj when four letters picked without replacement from xxsspcjcjccp?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/45)\/(25\/(125\/(-538))). Is d >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*j**3 - 23*j**2 + 23*j**2 + (-2*j**2 + 4*j**2 - 4*j**2)*(-3*j + 2*j + 3*j) + 3*j**3 + 3*j**3 - 5*j**3 + 645 + 2*j + 7*j**2 - j**3 - 645.\nAnswer: -28*j**3 + 7*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 + 0*t**4 - 6*t**4 + (4*t - 3*t - 3*t)*(-t**3 - t**3 + 4*t**3) + 4*t**4 + 0*t**4 - 2*t**4 + 0*t + 0*t + t**4.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from tmtpfrmmmpffft?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/58)\/(882\/(-12789))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:54 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*o**4 + 0 + 1\/2*o**5 - 3\/2*o**2 - o + 1\/2*o**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -25. Let h(b) = -6*b - 11. Let n be h(k). Solve 0 = 8*l - n*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11132 - 100202022?\nAnswer: -100213220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 14 = -4*g, 0*g = 2*g - 2*m + 4. Let t = g - -3. Let c be -5 + (4 - (t - -3)). Put -3, 1, c in descending order.\nAnswer: 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1712 - 101005\/59. Let p = 11332\/2305 - 1941541\/2991890. Let m = w + p. Calculate the common denominator of m and 93\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, 70\/59, -0.07, 84?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -226*z - 6802. Calculate h(-30).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/3, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 273 = -6*j. Let m = -20 + j. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10\/4)\/((-60)\/(-1008)) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 + 52*n - 20. Let b(s) = 5. Calculate 4*b(v) + d(v).\nAnswer: 4*v**2 + 52*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -4, -40, 232 in increasing order.\nAnswer: -40, -4, -1, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7625 = 5*i, 0 = -2*i + 4*i + 2*n - 3070. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431581981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.82 + -3. Which is the third biggest value? (a) 4 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/2 + b. Let i(k) = -k**2. Calculate y(i(f)).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2368 divided by 2\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/6)*q*q)\/(((q\/q**(-3\/5))\/q)\/q))\/(((q*q**(-2\/7))\/q)\/q)**(-28)*((q**(2\/3)\/q)\/q)\/q**(4\/3)*(q*q*q**(-1)*q)**(-13\/4) assuming q is positive.\nAnswer: q**(-629\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (0 + 4 - (12 + -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257928\/8399 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 + 11*j - 11. Let u(q) = 3*q**2 + 4*q - 4. Suppose 5*l = -f + 18, -3*l + 3*f = -0*l - 18. Determine l*p(c) - 11*u(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -98592 in decreasing order.\nAnswer: -2, -10, -98592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 20*z**2 - 12535*z + 9390 = 0.\nAnswer: 3\/4, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*b + 12, -2*o + 10 = 5*b - 2*b. Differentiate -a + 1 + o*a - 2 + 2 wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.18688728 rounded to 4 decimal places?\nAnswer: -8.1869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, 391 in decreasing order.\nAnswer: 391, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7*k = -5*k + 3037 - 3047, -25*w + 185 = -5*k for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*j + 16 = -0*j, -7*f + 5*j + 45 = 0. Solve -2*u = 3*u + 2*w + 17, -4*u + f*w = 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 13 + 7. Suppose 6*h = h + m. Suppose 40 + 196 = h*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 16 = -18*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 21. Suppose -3*r + 45 = x, r + q = 3*r - 2*x. Calculate the smallest common multiple of r and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.13, 0, -2.6, -0.4, 6, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950429?\nAnswer: 3, 13, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633511332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*y**2*z**2 - 14537*k**2*y**2 + 555*k*y**2*z**2 + 2*k*y**2 + k*y*z**2 wrt k?\nAnswer: 2*y**2*z**2 - 29074*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 - 1. Let j(i) = 3*i**3 + 2*i**2 - 980*i - 1. Calculate 2*d(l) - j(l).\nAnswer: -l**3 + 980*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 364 = 0, 26 - 213 = i + 2993*o - 2995*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 5*b - 6. Suppose h + 5 = 5*f, -2*h = -4*h. Sort 4, b, f, 28.\nAnswer: f, b, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86550101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let j = -6545 - -19636\/3. What is the closest to d in 4\/3, j, 33?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 90*l**2 - 5*l + 133. Give o(45).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 74. Let t be o(-6). What is the hundreds digit of (-287)\/t - 5 - (-3527)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-1 + 2 - 3 + (-1 + 4 - 1)*(-1 - 2 + 4) + 4 - 1 - 6 - 3 + 0 + 5)*(2*p - p + p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 24 - (-6 - 1) - 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-912)\/456 - (-1 + (-614)\/(-610))*-310.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -6*y + 10*y + 24, -4*y - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9594 and -3992.\nAnswer: -13586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 163844*0.03\nAnswer: 4915.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -3\/49 (c) 77 (d) -1\/8 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -90.\nAnswer: -90, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/117117? (a) -41 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:26 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*b = -19, -2*q + 4*b + 4 + 10 = 0. Is q < 1\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*((-d**3 + 2*d**3 - 2*d**3)*(3 - 2 + 0) + d**3 - 2*d**3 + 0*d**3).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393872500 a multiple of 1250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 62104373700 to the nearest one million.\nAnswer: 62104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9747272 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 137*q = 133*q + 42, 3*q = z + 19 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 8. Let d be (24\/9)\/y*3. Suppose 0*s + 4*f - 294 = -s, 0 = -d*s - 4*f + 584. Round s to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3224*m**2 - 3205*m**2 + 6440*m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from qff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -732636\/77 - -9515. Calculate the common denominator of a and -64\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2 - 18*t**2 - t + 9*t**2 + 7*t + 8.\nAnswer: (t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 5*n + 1. What is i(4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (sqrt(1088) + (sqrt(1088) - (((sqrt(1088)*4)**2 - sqrt(1088)) + sqrt(1088))))*3 + sqrt(1088).\nAnswer: -52224 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9901303 to the power of 1\/2, to the nearest integer?\nAnswer: 3147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Let u = v + -2. Suppose -5 = -u*w + 3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6 - 2)*(-27)\/18. Let m(d) = -d**2 - 1. Let g(w) = -5*w**2 - 3. Give k*g(x) - 6*m(x).\nAnswer: x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3576 and 134100.\nAnswer: 268200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 292.34639116 + -9309.\nAnswer: -9016.65360884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - d**2 - 2201*d + 1119*d + 1129*d to the form v + x*d**2 + l*d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*q + 0*q = 7, 0 = -4*q - 16. Put -1, m, -4 in decreasing order.\nAnswer: -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 8*r - 5. Let t be d(-4). Let p = t - 41. Let -1\/3*c**3 + 1\/3*c + 0 + 0*c**p = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 4*l + l)*(-3*l + 0*l - 4 - 2) + 2*l**2 + 0*l**2 + 2*l**2.\nAnswer: 28*l**2 + 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.5, -0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*z = -100, 6*a - 5*z - 75 = 3*a. Let y = a + -13. Calculate the greatest common factor of 60 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 25. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1120 and 668832?\nAnswer: 23409120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02998 + 0.42998. Let f = -0.1 - 0.3. Which is the biggest value? (a) -0.5 (b) v (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3044675988?\nAnswer: 2, 3, 5419, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 0.6, -7\/13, -27 in decreasing order.\nAnswer: 0.6, -0.18, -7\/13, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:13 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 543 divided by 18216\nAnswer: 181\/6072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*2 + 0 + (0 + sqrt(171))**2.\nAnswer: 2*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146924*y**2 - 180313*y**2 + 59205*y**2.\nAnswer: -268032*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 + 12)\/((-2)\/529) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/30 + 97*s**5\/15 - 2303*s**4\/6 - 4802*s**3\/3 + 18*s**2 + 14*s. Suppose c(y) = 0. Calculate y.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/((-12)\/1072). Let p be 63\/42 - (318\/k + -1). Let s = p + 1666\/335. Find the common denominator of -29\/138 and s.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = 2*u. Let a = u + 8\/5. Let l(v) = v**2 - 9*v + 12. Let c be l(8). What is the biggest value in 5, c, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7) + 2 - ((sqrt(7)*-1 - sqrt(7))*-1 + sqrt(7)).\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8*m = -0*m - 20, -65*b - 5*m + 73 = -17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 52*s - 53*s, 4*s - 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(2*p**2 + 2*p**2 + 4*p**2).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*p**5 - 12*p**5 - 14*p**5 + 2*p**5 + p**5 - 7*p**5 + (3*p**4 - 2*p**4 + p**4)*(p - 1 + 1) + 7*p**5 - 4*p**5 + 4*p**5.\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 2*f + 6*f)*(-f**2 + 6*f**2 - f**2) - 2*f**3 + 2494 + f**3 + 19*f + 12*f**2 - 2496 as n*f + t*f**3 + o + q*f**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 4*z. Let f be (-4)\/((-4)\/(-9)) + 3. What is the units digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzgwzmwwhmghhhmggbw. Give prob of picking 1 w and 1 b.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -19, -23, -29, -37, -47?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**2 - 12*q**2 - 13*q**2 + 13*q**2. Let y(p) = 70*p - 8. Let c(n) = 47*n - 5. Let t(v) = -8*c(v) + 5*y(v). Give m(t(a)).\nAnswer: -2028*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (17\/51)\/(1*(-2)\/(-3378)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*f - 63*f - 7676 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 396 + 396 + (r**2 - 2*r**3 - r**2)*(8 - 7 + 8).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - 3*v)*(0 - 2 + 5) - 2 + 2 - 3*v + (1 + 0 - 5)*(1 + 3 - 5)*(-v + 2 - 2).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 545520.\nAnswer: 3818640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and 653793 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2642, -2484, -2326, -2168?\n\"Answer: 158*q - 2800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 13*o - 15*o**2 + 832540*o**2.\nAnswer: 832525*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/3 + 217538*q**2\/3 + 1740592*q + 10444128 = 0.\nAnswer: -12, 108793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3469485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:20 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3066665*u + 15. Let t be y(-9). What is t rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 21, 14.\nAnswer: 2, 5, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 23*o - 9. Let v be m(-11). Solve 0 = -v*s - 2*s + 3*l - 22, 20 = -3*s + 4*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155711.\nAnswer: 47, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 2*z. Let f(b) = -b**2. Let l(y) = -a(y) + 6*f(y). Factor l(r).\nAnswer: 2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3, -1\/3, -33\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2*5\/(-30)). Suppose -2*l - 5*o - 3 = 0, l - o = -3*l + 27. What is b in b**4 - l*b**3 - z*b**2 - 2 + 2 - 4*b**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.918101559 - -11.518100419. Let q = 10.6 - k. What is q rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 2 r when four letters picked without replacement from {r: 2, e: 1, a: 8, s: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + t - 33. What is the least common multiple of 8 and j(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 759, 3056, 6817, 12030, 18683?\n\"Answer: -2*u**3 + 744*u**2 + 79*u - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/179210 and -65\/250894.\nAnswer: 1254470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1369 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zei when three letters picked without replacement from iiiiqiieieiizieizei.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/(-36)*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 4. Let g be a(-5). Suppose -3*u - 6 = 2*i, 0*u + g = i - 3*u. Suppose i = 4*n - 9*n + 35. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 663.02587 to the nearest integer.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b + 2*b. What is the remainder when 42 is divided by 23 + (-2 - (-1)\/b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-1 + sqrt(75) + (sqrt(27) + 0)**2).\nAnswer: -21 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d - 18. Let b be (-106)\/(-18) + (-4)\/18. Let x = b - d. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/((-1)\/(234\/(-27))) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104485 * 2\nAnswer: 208970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s + 5, 2*b = 4*s - 14. Solve -5*z - h = 7, -b*z - h = 2*h + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069259?\nAnswer: 3, 733, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 26. Let d be (-10)\/14 - 8\/n. Factor 0*a**2 - d*a**3 + 0 + 2\/7*a.\nAnswer: -2*a*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1794 + -3.8206. Let i = 12 - 15. What is the nearest to -1\/2 in 2\/55, s, i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.85 - 11.85. Which is the second biggest value? (a) 36 (b) -1\/8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39660 divided by 1?\nAnswer: -39660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n - 6. Let j(s) = 7*s**2 - 2*s. Let t(l) = 15*l**2 - 4*l. Calculate n*t(r) + 13*j(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0562 - 0.1562. Let o = 2 - 3. What is the nearest to d in 1\/22, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 12.89. Let s = f - -2.89. Sort -0.4, s, 1\/2 in descending order.\nAnswer: s, 1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 - 2*w**3 + 6*w**3 + (13*w + 280 - 6*w - 288)*(-6*w**2 + 4 - 4) - 4*w**3 + 3*w - 3*w.\nAnswer: -44*w**3 + 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 14. Let z be w(-7). Suppose z*a = -3*a - 3. List the prime factors of (4 + -12)*1\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 1)*((-4)\/1)\/2. Let v(i) = -i + 4. Let r(d) = -1. Let t(y) = h*r(y) - v(y). Let w(z) = -2*z - 12. Calculate t(w(b)).\nAnswer: -2*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 340 (base 6) to base 11\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -43. Suppose -21*a + 19*a + 5*r + 1487 = 0, 3683 = 5*a - r. Calculate the greatest common divisor of w and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-16)\/7. Let m be (s - 2 - 0)*-1. Suppose -3*b + m = -6. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 14*u**2 - 2*u - 8. What is the remainder when ((-395)\/15)\/((-1)\/3) is divided by d(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(22) - (sqrt(22) + 3*sqrt(352)))\/(-2*sqrt(288) + sqrt(288)))**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 24. Let l(h) = 1. What is -10*l(o) + s(o)?\nAnswer: -2*o - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11837 and 72667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79e2 - -4?\nAnswer: 79e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12477152 + 18.537.\nAnswer: -12477133.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 10}. Give prob of sequence np.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 3}. What is prob of picking 3 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -128.1. Let h = 90.3 + -80. Let f = -1.3 + h. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**7\/420 + z**6\/60 + z**5\/24 + z**4\/24 + 2*z**2. Factor k(m).\nAnswer: m*(m + 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1422415 (base 6) to base 11.\nAnswer: 558a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*2)\/(sqrt(200) + sqrt(200) + (4*sqrt(200) - sqrt(200))).\nAnswer: 8*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -258. Suppose 0*d + 3*d - 3*t = -231, 2*d - 4*t = -f. Let o = 73 - d. Does 31 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 209 = -s. Let d = s + 196. Solve 0 = -i + 2*a + 9, -a + 5*a + d = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x. Suppose -5*z + 8 = 4*b + 1, z = -4*b - 5. Let f(i) = -z*i - 3*i + 4*i + i. What is n(f(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/115 or 0?\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*t, 2*i + 8*t - 6 = 4*t. Suppose 5*n + 18 - 3 = 0. Put i, 2, n in descending order.\nAnswer: i, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - (-15516)\/(-14). Let b = -19615 + 19603. Does 2 divide b\/(-20) + a\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = g - 5*g + 434, -5*a + 560 = 5*g. Calculate the greatest common factor of g and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 784.2012 micrometers?\nAnswer: 0.7842012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 2610, 16, 3 in decreasing order.\nAnswer: 2610, 16, 7, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 28. Let q be m(10). What are the prime factors of q\/(-2) - (-112)\/2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 i when four letters picked without replacement from nicimicnmicicincin.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - 27209264*o. Let u(k) = 2*k. Calculate r(u(w)).\nAnswer: -16*w**2 - 54418528*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/10 - s**2 - s. What is the remainder when 41 is divided by b(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 2266444213?\nAnswer: 2266444214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340955610 divided by -22730374.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*m - 0. Suppose -6*p + 3*p + 93 = -2*v, -m*v - 220 = 5*p. Let h = v - -70. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 29. Let p be (-1520)\/3458 + w\/(-14). Let u = -0.3 + -0.4. Sort p, 3, u, 4 in descending order.\nAnswer: 4, 3, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12580*m**2 + 1 - 12579*m**2 - 2 + 1.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 17. Let i be h(-4). Let k be 1\/(i\/(-6)*(-2)\/(-3)). What is the biggest value in -3\/7, k, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:55 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 196925 + 2?\nAnswer: 196927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4347 - 9261 = -24*n. Let r be 2583\/n + -1*4. What is the closest to -0.1 in r, -0.5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 b when four letters picked without replacement from {b: 6, z: 10, u: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22175441 (base 8) in base 6?\nAnswer: -250302545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 4. Let r = -1.3 + n. Let t = 2\/85 - 259\/170. Which is the closest to r? (a) 3\/7 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*sqrt(2))**2 - sqrt(2)) + -3.\nAnswer: 21 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(80) + -3))**2 + 1*sqrt(240)\/sqrt(588))*-2.\nAnswer: -712 + 1340*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19\/21 + (-70)\/(-735))*4. Solve -39 = 17*u - b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26326*w**3 - 27550?\nAnswer: -78978*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose -67 - 3 = -a*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 11728 = 14*y + 2*y. List the prime factors of y.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 9506*w - 3 - 2*w**2 + w**4 + 2*w**3 + 9527*w as g*w**3 + s*w**2 + a*w**4 + x + k*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.37 and 0.5.\nAnswer: 3.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:06 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679 greater than 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 = t + 1, 0 = 4*d - 4. Let y be (t - 16\/5)\/(7 + -6). Let i = 2\/1375 + 8224\/17875. What is the biggest value in 0.2, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 43\/68, 2\/3, -1?\nAnswer: 43\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-70)*35\/(-4)*-4. Which is bigger: w or -19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.03 (c) -0.22 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -590\/35547?\nAnswer: -590\/35547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-3))**(-33))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.6442 days?\nAnswer: 401258880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -123032\/2201?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3\/(-5))\/(2\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 292\/72)\/(161\/(-14)). Let z = p + 209\/414. Factor 0 - x**4 + 5\/4*x**3 + 0*x + 1\/4*x**5 - z*x**2.\nAnswer: x**2*(x - 2)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 17 + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -312 - 3675. Let i = -284 - g. List the prime factors of i.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 14. Let w(j) = -50*j + 44*j + 2*j - 5*j. What is o(w(r))?\nAnswer: 405*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14999 and 17263.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16599993*s + 7. Let g be f(1). What is g rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 966*s**2 - 967*s**2 + 208*s**3 - 972*s**2 + 2904*s**2.\nAnswer: 208*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102.66 + 28628\nAnswer: 28730.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from futzdzltd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 16) to base 2.\nAnswer: -1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -365 or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = 3*s - 162. Let c = -70 - s. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*j**4 - j**2 + 34*j.\nAnswer: -384*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17\/12 - -7\/6. Let c = -3362572 + 3530700307\/1050. Let v = 1\/150 - c. Does l = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-2*-2)\/sqrt(10).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - 84*o**3 + 1078*o**2 + 28812*o + 117649 = 0. Calculate o.\nAnswer: -7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knbpypgbg. Give prob of sequence pp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x*(x*x**0\/x)\/x)\/((x\/(x**(2\/3)*x*x))\/x*x**(-6)\/x*x))**(-9\/8) assuming x is positive.\nAnswer: x**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12996 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*q - 4. Find the common denominator of 46\/7 and q\/14 - 87\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55791871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5151 divided by -303\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 99, 164, 249, 360?\n\"Answer: x**3 + x**2 + 41*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - 3*f**3 + 3*f**3)*((4 + 2 - 4)*(0*f - f + 0*f) + 2714*f - 2302*f - 2146*f) + (2*f - 2*f - f**3)*(-2*f**2 + 6*f**2 - 2*f**2).\nAnswer: 3470*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z - 73 - 78 = 9*j - 80*z, 0 = -2*j + 3*z - 31 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -7640 - 1782 + 1894. List the prime factors of m.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 33 (c) 1 (d) 0.2 (e) -0.4 (f) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8804*w**2 - 11173*w**2 - 17772*w**2.\nAnswer: -37749*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3 + 80*y**2 + 104*y + 33. Factor k(d).\nAnswer: 2*(d + 26)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**3 - 7\/12*q**4 + 1\/14*q**7 + q + 0 + 0*q**6 + 0*q**2 + 0*q**5. What is the third derivative of u(c) wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8565852\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 2*g - 7*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13716*i**3*r**3 - 302*i**3*r**2 - 136*i**2*r**2 + 10*r**5 wrt r?\nAnswer: -82296*i**3 + 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.1, 2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339 and 17515.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 1. Let g be i(2). Let h be ((-2)\/(-3))\/((-4)\/(-18)). Suppose -g*b + 2 = -h*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l**14)**(-6\/25) assuming l is positive.\nAnswer: l**(102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 618 - 545. Let m(n) = -v*n + 193*n + 106*n. Let a(f) = f. Calculate a(m(d)).\nAnswer: 226*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 65396*l\/3 + 1069159204\/3.\nAnswer: (l + 32698)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*x**4 + 80*x**3 - 2378*x.\nAnswer: -120*x**2 + 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 - 3*k**2 - 2*k + 2. Let a(l) = l. Suppose -n - 2 = -3*i, 3 - 4 = -n. Let x(f) = i*q(f) + 4*a(f). Determine x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2308 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2090 and 213180?\nAnswer: 213180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 71090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -23*p**2 - 257*p + 1325. Give b(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 795*b**2 - 61*b - 6. List the prime factors of d(3).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**3 + 0*h**3 + h**3)*(-17*h - 448*h - 182*h) to the form v*h**3 + x*h**4 + i*h**2 + l + r*h and give x.\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 80. Let v(b) = -53*b - 1080. Let o(c) = -27*j(c) - 2*v(c). Let f(x) = x**2 + 10*x**2 + 0*x**2. Give f(o(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-t - t + 3*t) as x + w*t and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20873295.36 rounded to the nearest 10000?\nAnswer: 20870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 3*r - 21. Give b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.41? (a) -0.4 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141162, -141154, -141144, -141132, -141118?\nAnswer: -141102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 22.8. Let d = 5.4942 - 0.4942. Sort u, 1\/14, 2\/11, d in descending order.\nAnswer: d, 2\/11, 1\/14, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 22*f - 21. Let q = f + -15. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*w + 111, 3*w - 446 + 113 = -3*s. Let o(a) = 232 - s - 120 - a. What is o(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2. Let x(l) = -4*l + 6. Let a(y) = -y + 14. Let k be a(13). Let v(r) = -k + 2*r - r - 3 + 3. Let d(g) = 6*v(g) + x(g). Determine d(w(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*b + 57*k = 351*b + 580, -3*b - 16 = -k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r - r**3 + (0*r - r + 3*r)*(-8 + 8 - 3*r**2).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -5. Suppose q*i - 2557 = 565. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbjqgig. What is prob of picking 1 g, 1 b, and 2 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*g**3 - 334*g**2 + 548*g**2 + g + 1897*g**2 - 141*g**3 to the form v + b*g**3 + u*g**2 + a*g and give u.\nAnswer: 2111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7)*q)\/q*q)\/(q*q**(-1\/20)\/q))**(-7) assuming q is positive.\nAnswer: q**(-107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**3 + 10*v**2 + 7*v - 3. Let c(p) = -p + 1. Suppose 0 = -3*s + 13 - 25. Let o be c(s). Is q(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a factor of 47162030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - s - 1608 = 639, -k - s + 1119 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 - 17110\/(-1239) - 3\/(9\/(-7)). Determine f, given that -i*f**2 + 6\/7*f + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 8*b**2 - b + 10. Let c be f(8). Find the second derivative of 6*u - 8*u**2 - 13*u**c + 21*u**2 + 4*u**3 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 359aa3 - 0?\nAnswer: 359aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 7*s = -o - 10, 0 = -2*o + s + 8. Calculate the greatest common divisor of o and 444.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4480 and -0.3.\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*1 + 6\/(-3). Suppose o - g + q = 3*o, -g + 26 = 4*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + j = -2*k + 9, 5*j - 35 = 5*k. Sort -8, k, 4 in decreasing order.\nAnswer: 4, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010112 - 112?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -183.9, -0.4, -29, 0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (10 - 6 - (-10 - -3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 11*c**2 + 12*c + 22. Let v be h(-10). Factor -4*a**2 - 3*a - 3*a**2 - 2 + 11*a**2 + a**v.\nAnswer: (a - 1)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11910 - 57*k**3 - 431*k + 22*k**2 + 69*k**3 - 932 + 428*k + 14*k**2 with respect to k.\nAnswer: 36*k**2 + 72*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19687 - -1452. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330241 to the power of 1\/2, to the nearest integer?\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -925 + 1901. Let f = x - 980.07. Let i = 0.07 + f. What is the third biggest value in -3\/2, 5\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(77)\/sqrt(7)*-6.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + 3*m + 3222. Let d be n(0). Suppose 26916 = 3*k + 3*c, -2*k = c - 14727 - d. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, q: 5}. What is prob of picking 1 q and 2 h?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5000634311 - -5?\nAnswer: -5000634303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -27, -1271527 in descending order.\nAnswer: -4, -27, -1271527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*u + 0*u + 0 + 5*u.\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/4, 0.2, -31, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77299.36 millilitres?\nAnswer: 77.29936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*39\/(39\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 27*d + 19. Calculate m(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 155150623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 100*w - 291.\nAnswer: -(w - 97)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 26 - 12 = 2*x, -8*x + 2*x = -22*n - 72 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3738 and 8010.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571634216?\nAnswer: 2, 71454277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (-2415)\/(-84))*((-4)\/14 - 942\/(-63))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -781\/15 - -262\/5. Which is the second biggest value? (a) 0 (b) w (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7532b (base 13) to base 10\nAnswer: -211456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.64594 + 0.522776. Let j = s + 0.3631624. Let p = 0.24 - j. Round p to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 2. Let g be s(-2). Suppose v = -2*c + 82, 0*v - 74 = -2*c - 5*v. Suppose -y + 2*y + 3*b = g, 5*b = 3*y - c. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.999 - 24.199. Let v = 0.07 + -3.07. What is the closest to -0.054 in t, -2, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8574057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/((u*u**(1\/6)\/u)\/u))*u**0*u*(u*(u\/u**(-6))\/u)\/u**(-1\/2)*((u**0*u*u)**(2\/5))**(24\/11) assuming u is positive.\nAnswer: u**(1388\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 59*t + 297. Let d be a(-5). Suppose -90 = d*y + 16*y. Let j(c) = 2*c + 2. Let p be j(-3). Sort y, p, 2 in decreasing order.\nAnswer: 2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + h + 5)*(-147 - 50 - 106).\nAnswer: -303*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 149 (b) -483 (c) -2\/11 (d) 1\/2 (e) 0.3 (f) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297*o**3 + 7*o - 7*o - 2165*o**3.\nAnswer: -3462*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 17) + (-290 - -339)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 60*g = -27*g. Let f(i) be the first derivative of -16 + 8*i**3 + 0*i + g*i**2 - 7\/5*i**5 + 0*i**4. Find the third derivative of f(k) wrt k.\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/6 - 220*m**3 + 108900*m**2 - m - 309. Factor f(y).\nAnswer: 2*(y - 330)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 1778*t - 1771*t. Solve 7*f - 2 = t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1397 - 758. What are the prime factors of x?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(13\/4))\/(p\/p**23*p*p) assuming p is positive.\nAnswer: p**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 441521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*b + 56 + 228, -2*b = -3*k + 172. What is the remainder when k is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.8, 4\/7, 2, 1\/2, -4, 9\/2 in ascending order.\nAnswer: -5, -4, 1\/2, 4\/7, 0.8, 2, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*f - f - 57 = 0, -2*f - 49 = -3*i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/233156 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 7*v**5\/60 + 2*v**2. Let k(y) be the second derivative of 0*y**2 + 0 + 9*y + 1\/6*y**3. What is n(k(z))?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3547\/4, -1\/7, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)\/t*(t*t**3*t)\/t)\/(t*t*t*t**(-1))**40*(t**(-1))**(-28)*(t*t**(-1\/3)*t)**(-35) assuming t is positive.\nAnswer: t**(-316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*-1*sqrt(245).\nAnswer: -28*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlgxgzrzrkgxzxx. Give prob of sequence gk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9))\/(178 + (-82108)\/468)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 21\/(-9))*-3. Let k be 2\/2 - h\/6. Let j = 1028.8 - 1028.5. Which is the nearest to j? (a) k (b) 1\/11 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67900753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 3)\/(3\/4). Sort t, 0, 3 in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:27 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -0.3, -1, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/27*(-306)\/34\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58.57 - 58.9063. What is d rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - (-2 - (-1)\/(-3)). Let i(b) be the first derivative of -3 + 0*b - 1\/6*b**2 + 1\/9*b**h. Factor i(k).\nAnswer: k*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + 1. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-5))\/((-6)\/20). Suppose 0*g - 64 = -w*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)*f**(3\/7)*f**3\/f**(-1))**(-45))**(3\/13) assuming f is positive.\nAnswer: f**(-4815\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -2, -11\/5, -63.68?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -101, -163, -239, -329, -433?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102380*d**3*x - d**3 + 21*d**2*x - 4*d**2 + d*x - 2*d - 2006*x + 15649 wrt d?\nAnswer: -614280*d*x - 6*d + 42*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8347741g in micrograms?\nAnswer: 834774.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - ((3 - -15) + -7 + 0)) + 4.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1025655 divided by 3\nAnswer: 341885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 162960, 162954, 162942, 162924?\n\"Answer: -3*k**2 + 3*k + 162960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5, 0.1, -4\/603 in increasing order.\nAnswer: -4\/603, 0.1, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -892 - -878. Does 28 divide 1179 + (-12 - d) + 5\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 692 - -176. Suppose -6*h = -2*h - c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 30274024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 8. Let m(t) = 4*t**2 + 12. Let j be m(0). Suppose r*c + j = -2*c. Is -2 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -498 + 502. Let j(t) be the second derivative of 0 + 1\/3*t**q - 2\/15*t**6 + 0*t**2 + 9*t + 0*t**3 + 0*t**5. What is the third derivative of j(n) wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 - 808*q + 0*q**2 + 1 + 846*q + 2*q**3 to the form z*q**2 + s*q + j*q**3 + d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 100.68 from -26.\nAnswer: -126.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.56 - 311.16. What is j rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 127803 = -360033. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.8 * 3\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 138228093 and -0.2.\nAnswer: -27645618.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*((v\/(v\/((v\/(v\/v**(2\/9)))\/v)))\/v)\/v*v)\/v)**3\/(v*v**(-1\/3)\/v)**(-26\/7))\/((v*v**(2\/7))**0\/(v**(-7)\/(v**0\/v))) assuming v is positive.\nAnswer: v**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 19169*f - 9581*f + 28 - 9576*f + 26. Give p(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000787691 to 5 dps.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/5)\/((-3)\/(-40)). Let f = w + -19. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(((-2)\/4)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59665*q**4 + 1526*q**3 - 4*q - 28234358?\nAnswer: -715980*q**2 + 9156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0)*2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-45)*-1*(-1)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-384384)\/(-2808) + -130)*9\/2*(-2 + 0)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/13 (b) 4 (c) -1 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3379 - 3262. Let u(n) = -n**3 - 3*n**2 + 2. Let p be u(-3). Let k be (4\/(-12))\/(p\/(-78)). What is the highest common factor of b and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 799 + -676. List the prime factors of z.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 0*o**2 - 2*o**2. Let y(c) be the first derivative of -c**3 - 6*c - 4. Let d(j) be the first derivative of y(j). What is i(d(p))?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.002594 and -8?\nAnswer: 5.997406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 27 = 2*p, 0 - 1 = o. Let v = p - -25. Find the second derivative of 13*b**3 + 2*b**4 - v*b**3 - 2*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20598, -41045, -61178, -80841, -99878, -118133, -135450, -151673?\nAnswer: -166646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/12 + k**2 + 7*k - 1. Let h(o) = 4*o**2 - 9 + 3*o**2 - 2*o**2. Calculate 9*d(r) + 2*h(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43803 = -136*m + 85*m - 161*m - 23239 for m.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -936*4\/(-1250). Let n = 14402\/5625 + l. Calculate the common denominator of n and -46\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -9602, 1 in descending order.\nAnswer: 1, -1, -9, -9602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = -57*b + 498 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 10. Let m be w(-7). Suppose -5*t - m*o = -61, 2*t - 2*o = -t + 48. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 2. Let w be r(-6). Let z(j) = 0*j - 2*j - w*j - 1. Let v be z(-1). Solve v = -6*u + 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/(-28) + -2 - 4484\/854. Let v = j + -98\/61. What is the common denominator of v and 63\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 p when three letters picked without replacement from zpppzaqyqgqzgzya.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470 and 1034?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19299420 and 12240.\nAnswer: 77197680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpipkbb. Give prob of sequence bb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) -117 (c) 235355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 3, t: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 9 - 35*q**3 + 7*q**3 + 10*q**2 + q**3 + 9*q**3 to the form c*q**2 + k*q**3 + u + f*q and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5525641*l**4 - 3993888*l - 3 wrt l?\nAnswer: 66307692*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -48*m - 35. Let u(y) = -50*y - 34. Let v(i) = -5*r(i) + 4*u(i). Differentiate v(o) wrt o.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - 0.02. Let l = 2 + i. Which is the third biggest value? (a) -2\/5 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -1398, -2946, -5146, -8016, -11574?\nAnswer: -15838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13852 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3365 and 382748560.\nAnswer: 3365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 16*d**3 + 15*d**2 - 18*d.\nAnswer: d*(d + 3)**2*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -257209 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 1505801.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.2 and -2746.\nAnswer: 277895.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1206*g + 78. Let t be d(12). Let c = 24935 + t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79 and -1920.9584.\nAnswer: -1841.9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 6) + 3 + 16 + -22. Which is bigger: -86\/11 or i?\nAnswer: -86\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**2 - 2*i - 1. Let z be k(-1). Let y be (-10)\/(-4) - 4\/z. Solve 0*b + y*b = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 59*g - 47. Let a be v(-31). Differentiate -28 + a*w + 67 - w**2 + 3*w**2 + 0*w**2 with respect to w.\nAnswer: 4*w + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w + 0 - 7\/24*w**4 + 2*w**3 - 4*w**2. What is the derivative of k(m) wrt m?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:36 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -41061 divided by 3\nAnswer: -13687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Let m = z - 0. Put m, -5, 5 in decreasing order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 4*q**2 - 2*q - 9. Let p(g) = g**2. Let b(o) = 3*p(o) + y(o). Let x be b(-7). Solve -5*h = -x*r + 35, 2*r + 8 = 5*h + 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(3519\/(-45))\/23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(228)*-4 - 6*(sqrt(228)*1 - sqrt(228)))\/((2*sqrt(72) + sqrt(72))\/sqrt(6)*-5))**2.\nAnswer: 19456\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = 2*q - 3*q, 3*q = -3*y - 15. Let o(d) = d**3 - d - 1. Let f(t) = 6*t**3 - t**2 - 5*t - 4. Give q*o(g) + f(g).\nAnswer: 2*g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2 + 6. Let v(a) = -3202 - 11*a**2 + 3202 + 6*a**2. What is v(u(o))?\nAnswer: -720*o**4 - 720*o**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7045*g**2 + 2076*g**3 + 7045*g**2.\nAnswer: 2076*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 7*u, 2*y + 3*u - 8 = 2*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 54 = 18. Solve -3 + 3*t + 24 + 8*t**3 - m - 18*t**2 - 11*t**3 = 0 for t.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2, 1, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (-2 - (65 - 32)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697382 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from gxggqxhxgx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m + 2. Let h be q(0). Suppose -a - 6 = -h*a. Let n = 2463 - 2467. What is the nearest to a in 0.5, n, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - 5*a + 3. Let s be 8\/6 - 14\/(-21). Let y(l) = -l**2 - 2*l + 1. What is s*h(q) - 5*y(q)?\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x = 44*x - 5. Let s be (-32)\/(-112)*(x - -1). Suppose 64\/7*g**5 + 0*g**2 + 0*g + s*g**3 + 0 + 32\/7*g**4 = 0. What is g?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001518 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -5 + 10 + (-26 - -8) + 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1807 and 20487210.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 392707576 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49966061 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/3 - 5*u**2 + u. Let n(t) = t + 5. Let q(k) = -2*d(k) - 5*n(k). Calculate the smallest common multiple of q(-7) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 1. Let r be n(-1). Let p be ((-7)\/42)\/(1\/(-4)). Put r, -0.1, p, -1 in descending order.\nAnswer: r, p, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 58*f - 4942. Let j(o) = 22*o - 1647. Calculate -8*j(q) + 3*l(q).\nAnswer: -2*q - 1650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -5*b + 5*v + 25, 38 = 4*b - 5*v. Is b - (-330 + 10 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.4 and -0.84.\nAnswer: 3.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6238 - -0.0632. What is v rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*v - 19, 3*j = 5*v - 7*v + 11. Suppose -4*p - 7*x + 9842 = -j*x, 4*p = 2*x + 9830. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - s + 4*s)*(-68 - 66 + 104) to k*s + q and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (14 + (-12 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/14 - 2\/(-7). Let o(a) = -7*a**2 - a - 3*a + 5*a + h*a + 1. Let m be o(9). What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 28*j = 33*j - 473, -57*p + 60*p - j - 79 = 0 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/5, 5, 19?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**3 - 1438 + 6532 - 3021)*(3 - 3 - 1) to j*v + o + i*v**2 + f*v**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2145 + 2074 + 4493)*(1 - 2 + 0) + 4 - 1 - 1)*(0 + 0 - 2*w**2).\nAnswer: 8840*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l. Suppose -6*u = -2*u - 8. Let c(v) = -9*v**2 + 7*v. Determine u*c(m) - 14*x(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 66 = -10*d. Let h = 200\/3 - d. What is the nearest to 0 in 0, h, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*8\/(-2). Let p = 17 - m. Let h be p*11714 - 6\/(-3). Round h to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 6?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q + 62. Give p(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 438172301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371628 by 20646.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.006 - 4.006. Let g = p + 8. What is the third smallest value in 0, 1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -25*t**3 + 2*t**2 - 32. Let m(f) = 8*f**2 - 30 - 92 + 3*f**2 - 124*f**3 - 38. Let w(r) = -2*m(r) + 11*q(r). What is the derivative of w(u) wrt u?\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/((-92)\/(-621)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:04 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -270016147 bigger than -270016149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = -16. Is x\/(-18) - 280396\/(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by -3*1*592\/(-48)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25499204?\nAnswer: 2, 293, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 9, t: 3, g: 2}. Give prob of picking 2 g and 1 t.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 - 3\/2*r**5 + 3*r**3 + 0 + 0*r**4 - 3\/2*r.\nAnswer: -3*r*(r - 1)**2*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 442\/(-357)*3346\/9321?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30.8 and -12.\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92252232*n + 46126117*n + 46126127*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41105828.\nAnswer: 2, 821, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*h = 203*h - 4*k - 17, 5*h = 5*k - 40 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 877.\nAnswer: -13\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*4\/(-120)*((-20405)\/132)\/(-53)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2\/5 (c) -1\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -100, -94, -86, -76, -64, -50?\n\"Answer: i**2 + i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*w + 337*w + 408 = -331*w for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 117. Suppose 3*x = -5*m + y, 5*m + 0*m = 3*x + 21. Are 5 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1700 - 175a?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 29*y. Let d(s) = 981202*s**2. Give d(t(p)).\nAnswer: 825190882*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6 - -2 - 1) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 49.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.5 at most as big as 2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2942*n - 35339. Determine o(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*47\/((-51324)\/104)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 6 + -3 + -3 + (17 - 24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k. Let v be s(1). Suppose 0 = 2*m - v*m + 2, -x + 4 = -4*m. Suppose 3*y - 183 - 216 = x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19)\/(-3) + 2\/(-6))*-2. What is the hundreds digit of ((-9)\/6)\/(g\/1944)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/12 - i. Let k(u) = -29*u - 17. Let f = -37 + 31. Let a(g) = 5*g + 3. Let y(n) = f*k(n) - 34*a(n). Calculate y(b(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 533*p - 2704. Give d(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271*0.075.\nAnswer: -20.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189016788*j**3 + 3591413*j**2 - 7.\nAnswer: -1134100728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p - 194. Let w be j(-36). Suppose -3*z = -4*x - 204, -x + 16 = 4*z - 256. Calculate the highest common factor of w and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549532505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*v - f, f = -v + 31 - 19. Suppose 0 = -b + 3*x + 32, -2*b + x = -0*x - 64. Suppose 6*i = 2*i + b. Solve v*h - 15*h = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 86?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysyskyyskbsssasskssk. Give prob of sequence kb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -606 by 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59939.29 milligrams to grams.\nAnswer: 59.93929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*k - 322 = 0, -2 = -2*k + 2. What is the remainder when h is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-96018)\/(-55395)*(-105)\/(-4).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/7 - 137128*w\/7 + 19590 = 0.\nAnswer: -68565, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301103220120 - 1?\nAnswer: 1301103220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(143) - -5*(sqrt(143)*-2 + sqrt(143) - sqrt(143))))\/(-4*-1*sqrt(99))*-1 + 1.\nAnswer: 1 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/21 - 340*d**2\/3 + 129472*d\/3 - 15407168\/3 = 0.\nAnswer: 238, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1258487 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -20, -39, -66, -101, -144, -195?\n\"Answer: -4*d**2 + d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 453800756 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a**5 - 1)*(-6 + 1 + 8) - a**4 + a**4 + a**5.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 4. Suppose o = 2*q - 0. Let t be -3 + (q - 5\/(-3)). Sort 2, -2\/3, t.\nAnswer: -2\/3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 986208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 70 + 29 = 0. Let b = d + 35. Solve -3 = -b*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = -4*w, 2*o - 3*w = w - 18. Let d(b) = 0 + 5*b + o - 4. Let j be d(3). Solve -2*u = u + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 24*h**2 - 14*h - 884. Give x(-25).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 - 3.3. Let r = -5 + z. Let u = 0.7 + r. Which is the nearest to 1\/4? (a) u (b) -0.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -117. Let u = 15 - 10. Solve d - g = -u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 1, m: 3, w: 4}. What is prob of picking 1 o, 2 w, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27072 divided by -96?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10275096?\nAnswer: 2, 3, 13, 32933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 16.35. Let f = -4.35 + g. Which is the nearest to f? (a) 5\/6 (b) -1\/3 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 54*w - 402. Calculate g(-12).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/54 + (-30)\/(-27) + (1 - 13)\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 - (-44)\/(-30). Let g be (-2)\/((-40)\/(-45)) + 2. Is g at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 3*s**3 + 2*s**3)*((1 - 2 + 2)*(-5*s + 3*s + 3*s) + (2 - 4 + 0)*(-5 + s + 5) - 3*s - s + 7*s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, q: 7}. What is prob of sequence qsq?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {z: 1, e: 4, s: 1, w: 3, y: 5}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 102. Suppose w = -f + 2*f - p, -45 = -f + 3*p. Let y = f + -23. Calculate the highest common factor of 52 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:57 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 16*z - 18. Suppose -1 = s - f - 2*f, 4*s = f - 4. Let l(m) = -m - 1. Let g(y) = s*v(y) + 5*l(y). Let n be g(12). Solve j = 1 + n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -255, -267, -105, 303, 1029, 2145, 3723?\nAnswer: 5835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2054 and 948?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8505 or 11051?\nAnswer: 11051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 18*j - 103. Let h be b(6). Let z(x) be the third derivative of -1\/24*x**4 - 1\/120*x**h + 0*x + 0 - 2*x**2 + 0*x**3. Factor z(w).\nAnswer: -w*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 564408 = 86*l + 46*l. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5405143 * -0.02.\nAnswer: -0.010810286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 2. Let j be t(0). Suppose -j*s = -0*s. Let b(x) = 0*x - x + s*x. Let z(c) = -2*c**2. Give b(z(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 3*c - c - c - c + c + (-2 + 1 - 2)*(c - 3*c + 0*c) - c - 4 + 4 - 5*c + 7*c - 10*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let r be n*1 - (2 + -4). Put -0.3, r, -4 in increasing order.\nAnswer: -4, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10208 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*f = u + 768, 4*f = 3*u - 545. Let y = -100 + u. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let j(u) be the third derivative of u**4\/4 - u**2 - 12. What is -2*h(m) + j(m)?\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000461 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1598, 1580, 1544, 1484, 1394, 1268, 1100?\n\"Answer: -p**3 - 3*p**2 - 2*p + 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30673 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 1. Let k be l(-3). What is the second derivative of -3*m + 0*m - 2*m**4 - 2*m**2 + k*m**2 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*m + 670 - 650, z - m - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340446236 - 25?\nAnswer: -340446263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/7, 7.13, 5\/4, 2\/5 in decreasing order.\nAnswer: 7.13, 5\/4, 4\/7, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-78) - 323\/(-13). Suppose o = -5*t + 5*v, 5 = 4*t - v + 10. Determine s so that t - 2\/5*s**3 - 2\/5*s**2 + 0*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, -29, -329, 1 in increasing order.\nAnswer: -329, -29, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 130667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 4*o, o + 3*k - 3 = -o. List the prime factors of 3 + o + 19 - 1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16 - 4. Let l = -54 - -56. Factor 3\/4*d**4 + 0*d**t + 0*d + 3\/4 - 3\/2*d**l.\nAnswer: 3*(d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-6) + (-38)\/(-76).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + (5 - 0) + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2746813?\nAnswer: 2746813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 52*p. Solve 5*k + 25 = -2*t, p*t + 2*t - 5*k = 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -30, -5, 4 in ascending order.\nAnswer: -134, -30, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 30*w**3 - w**2 + 1. Let c be q(1). What is the common denominator of (-155)\/(-8)*(-6)\/20 and 381\/70 + 6\/c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -19509*m**2. Let u(s) = -10*s. What is u(i(o))?\nAnswer: 195090*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(((-9)\/96)\/((-23)\/(-92))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546762751 to the nearest integer?\nAnswer: 23383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3180, -3218, -3256?\n\"Answer: -38*h - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l = -826 - 509. Let r = -17 + 3. Let n be (-74)\/r - (-4)\/(-14). What is the greatest common factor of n and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*z + 17 - 10 - 7 - 27*z**3 wrt z.\nAnswer: -162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 2*m**2 - 10*m + 17*m + 0*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 7*g + 8. Let f be a(-6). Suppose w - 3 = -f*w. What is the second derivative of -w + 2*b - b**5 + 1 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42448 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(48)\/sqrt(4))**2 + 1*sqrt(147)) - -5*((sqrt(24)\/sqrt(128) - sqrt(3)) + 0)*2.\nAnswer: -57*sqrt(3)\/2 - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/54*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 2*r + 4. Let o(t) = 2*t**3 + t - 3. Suppose -2*u + 3*u = 15. Suppose -4*w = w + u. Let d = w - 1. Calculate d*o(c) - 3*i(c).\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 10. Let r be x(7). What are the prime factors of (-2)\/(r + (-321)\/105)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10620394.9999972 + 10619755. Let k = -640 - a. Round k to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2867 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274273677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 at least as big as -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:28 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and -71\/19704.\nAnswer: 59112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s - 20 = 0. Let l = s - -4. What is the greatest common divisor of l and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:55 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 136?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2\/2 - 5. Let v(y) = -16*y**2. What is u(v(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 14*i - 27. What is the remainder when j(-19) is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 3*b**3 - b**2 + 2*b**3)*(-95*b - 154*b - 18*b).\nAnswer: 801*b**4 + 267*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-12))\/((-19)\/((-304)\/(-6))))\/(1188\/81).\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/m**17)\/m)\/m**(2\/7) assuming m is positive.\nAnswer: m**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 33*a**4\/8 - 37*a**3\/3 + 46*a**2. What is the derivative of k(o) wrt o?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118692, -237170, -355618, -474042, -592448, -710842?\nAnswer: -829230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 3*g**2 + 7*g)*(2*g - 5*g + g)*(g - g - 2*g).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-15)\/18 + 4\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 4, -6 in decreasing order.\nAnswer: 5, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/34362 and -79\/2739?\nAnswer: 377982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 6*g + 12. What is b(-8)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, h: 4, r: 3, t: 4}. What is prob of picking 1 e, 1 h, 1 t, and 1 r?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 9, y: 3, l: 2, v: 3}. What is prob of picking 1 i, 1 h, and 1 v?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418 + 233841*c + 418 - 233765*c.\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -870300 - 0?\nAnswer: -870300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1. Let b(v) = v - 1. Let f(p) = -b(p) - 2*y(p). Let i = -6 + 10. Let k(g) = -6*g + 1. Let n = -2086 + 2085. Calculate i*f(d) + n*k(d).\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -579 - -1323. List the prime factors of b.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10272 - 308201\/30. What is the common denominator of z and 71\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.55166 to two dps.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 14326339\nAnswer: -1\/14326339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 6 (c) 1 (d) -11192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 6. Let q be k(6). Let c be ((-45)\/q)\/(1\/8). What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**5\/10 + 2*q**2 + 6*q - 4. Let c(w) be the first derivative of b(w). What is the first derivative of c(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.5, -3, 4, 158, -34, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/1044)\/(15\/27)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-4) - (-3 - -1). Let w be (c\/(-6) + 1)*-2. Does 12 divide (50\/w)\/((-2)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/(-20) - 2\/5. Suppose -9 = f*p - 5*p. Is (-1)\/3 - (-444)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 10*w**2 + 10*w**2 in the form y*w**2 + l + d*w and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 77. Does 23 divide (r + 1 - -32)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 122*v**2 - 10*v - 10*v + 20*v.\nAnswer: 122*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 14848 - 8*x + 10*x - 14832.\nAnswer: 7*x + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3\/5 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 20*c - 92. Let g be x(-7). Which is bigger: 25\/129 or g?\nAnswer: 25\/129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.9 * -0.41\nAnswer: 8.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 56*r + 76 = -49*r, 103*r = 2*t + 436 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -5 (c) 1 (d) 21.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 2\/7 (b) -806594.8 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1 + (3232\/96 - 31).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0 + (-3 - -3))\/(-1))\/(-2). Suppose -a - 2 = -h*a. Let d(z) = -228*z - 5. Is d(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1596 divided by -124?\nAnswer: 399\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (1346\/6)\/((-5)\/3 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 36 = 6*w. Calculate the smallest common multiple of (43 + -10)*w\/6 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)\/k*k**(-2\/37))**(-1\/7))**(-13) assuming k is positive.\nAnswer: k**(-507\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -306 + 458. Is u a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-13)\/26).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + u)*(-4 + 2 + 1)*(0 - 10 - 30).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*t**2*z**4 - t**2*z**3 - 12*t**2 - 2*t*z - 41*z wrt z.\nAnswer: -4704*t**2*z**2 - 6*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sus.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:15 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.17 to the nearest integer.\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*((-92)\/20 + 4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -18, 0, 10, 4, -3, 3 in decreasing order.\nAnswer: 10, 4, 3, 0, -3, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36\/12*(-15)\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and (-12)\/(-1704)*445\/(-180).\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87580756?\nAnswer: 2, 41, 534029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10944)\/95*(-3075)\/3690?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h - 1. Let s = -21 - -15. Let q(a) = 7*a - 2. Let m(c) = s*q(c) + 5*n(c). What are the prime factors of m(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-1)\/(1\/7). Suppose j*m + 15 = 0, 3*x + m = 5*m + 18. Suppose -4*y - 26 = -x*u, -3*y - 3 = u - y. Solve -u*r = -3 + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12046 is divided by 447?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 5*n**4\/24 + 29*n**2. Suppose 4*u = -j - 10, 3*u - 4*u + 5 = 4*j. What is f(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f + 23 = 70*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*u + 1407*u + 2 = -a, -3*u - 55 = -5*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215, 2377, 3489, 4551, 5563?\nAnswer: 6525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/9 + -3)\/((-22)\/99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177121935 a multiple of 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**33\/(j*j\/j**(2\/33)*j))**(1\/63) assuming j is positive.\nAnswer: j**(992\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*b + 48248 = 5*o + 88*b, -5*o + 2*b = -48254. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -180, -114, 4, 174, 396?\n\"Answer: 26*o**2 - 12*o - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/2)*q)**19\/(q\/q**(2\/3)*q**(8\/7)) assuming q is positive.\nAnswer: q**(1933\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/6)\/(9\/54). Let h be (-18085695 - 18)\/(6\/i). Suppose -3*t = -2*f - 2*f + h, -4 = -2*t. Round f to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*c + 96 = 210*c. Put 1, c, -5, 10, -2 in decreasing order.\nAnswer: 10, 1, -2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:44 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -83*d - 1005. What is q(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l - 21. Let z = 350 + -347. Let x(a) = 12 + 15 - z*a + 5 - 21. Give -4*i(s) - 7*x(s).\nAnswer: s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 519577.8 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 10*a - 1 + 4 - a**2 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14421758 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 12) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1025, -0.2, -5, 0.2 in decreasing order.\nAnswer: 0.2, -1\/8, -0.2, -5, -1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14 - 6 - 9)\/((-1)\/3). Solve 5*v - z = 2 + 2, -v = -4*z + u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 1401530887*q + 1401530887*q.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:40 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*x + 443, -178 - 539 = -3*r + 3*x. Let s(k) = k**3 - 5*k**2 + 4*k - 6. Let o be s(5). Suppose -2*q = r - o. Round q to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 1}. Give prob of sequence ss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131721 and 258.\nAnswer: 33984018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 + 37*t**2 - 26*t + 48. Determine d(8).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*h = -210, -3*p + 24622 - 24736 = -3*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 + -191. Let u = m - -68. Let w(k) = k**3 - 5*k**2 - 7*k + 9. Calculate w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-105)\/18)*1020\/(-136)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2. Let q(w) = 32*w**2. Give x(q(f)).\nAnswer: 7168*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251758 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-56))\/(-44 - 22239\/(-504)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2 + 61687977*n = 0.\nAnswer: -20562659, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 - 239367*h - 255 - h**2 + 239367*h - h**2 to v*h**2 + n + l*h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133312525 - -10?\nAnswer: -133312515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -54, -79, 1, 0 in descending order.\nAnswer: 2, 1, 0, -4, -54, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511120253 - 0?\nAnswer: -511120253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2230 - 104211431?\nAnswer: -104214211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1743 + 10457\/6. Let z = 7 - 7.5. Let t = 0.4 + z. What is the nearest to 0 in -1\/2, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502779, -2011078, -4524909, -8044272, -12569167, -18099594?\nAnswer: -24635553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 25*c = 5*m + 10, 3*c = 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u - 2. Let a be (21\/6 + -4)*-10. Suppose 7*t - 8*t + m = -2, -a*t + m - 6 = 0. Give s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/20 and -58\/4256065?\nAnswer: 17024260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 4*l**2 + 6*l**2)*(1 - 1 + l)*(2*l + 3*l - 3*l).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 42*k**2 - 33*k. Let p(r) = -r**2 + r. Determine -2*f(w) - 66*p(w).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 - 26 - 25 - 6*i**2 + 53 + 4*i + 2*i + 9*i**2 to k*i**4 + j + b*i**2 + h*i**3 + a*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - -4.3. Which is the closest to -1? (a) d (b) 0.16 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.38 + 5. Let d = x + -0.12. Let u = d - -6.5031. What is u rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3)*(-18)\/(-12). Let a be (3 - (-192 - 2)) + v\/1. Let d = a + 179. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22521 (base 6) in base 2?\nAnswer: 110010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s + 14*s + 13*s to i + w*s and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 390434 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -202, -464, -830, -1300?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 5*l = 24*f - 746, -5*f - 4*l - 1898 = 0. Let b = f + 408. What is the least common multiple of 20 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -595*l**2\/2 - 73. Let s(x) = 27*x. Determine 45*s(f) + 2*t(f).\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) 1284 (c) 3 (d) 0.4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 503*h*v - 23*h + 12182*v wrt h?\nAnswer: 503*v - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/12 - 20*i. Let l(z) = 2*z**2 + 79 - 79 + 2*z**2. Determine x(l(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 15 + 17. Let l = 20 + i. Let t = l - -32. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30042, -30041, -30040, -30039, -30038, -30037?\n\"Answer: w - 30043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Suppose s*c + 2 = 5*h, -5*h = 2*c - 3 - 4. Let t be (-4)\/(-10) + (-16)\/(-10). Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 68*z - 42*z - 28*z + 24 = 0, -3*z = 4*g - 20 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l**3 + 75*l**2 - 3*l - 10. Let b be q(-5). Let k(s) = 2*s - 14. Let m(g) = -1. Give b*m(c) - k(c).\nAnswer: -2*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*(-17)\/2720)\/(309\/12772)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 3. Let g be (-1)\/2 - 15\/6. Let s be f(g). Let u = s - 0. Solve u*c - 25 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**4 - 59*z**3 + 128*z**2 + 8*z - 12. Let b(p) = -5*p**4 + 60*p**3 - 125*p**2 - 10*p + 15. Let q(t) = 4*b(t) + 5*h(t). Factor q(a).\nAnswer: 5*a**2*(a - 7)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67687, 67691, 67697, 67705, 67715?\nAnswer: 67727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134341 is divided by 183?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 643 and 12.\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 81 = 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**3\/6 - 19*c**2\/2 + 1051*c. Give g(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -360*c*j*y + 21*c*j - c*y - 27839*j*y + 2*j wrt c?\nAnswer: -360*j*y + 21*j - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -84 + (-2 + 3 - 1). Let g = p - -107. Suppose 18 = 3*j - 18. What is the remainder when g is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 - 0.3. Let o = 5 + -3. Suppose -3*g = 12, -5*u - 2*g = -3*g - 24. Which is the third biggest value? (a) u (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 - z. Let r be 2 + -4 + 1 + -1. What is w(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001143207541 to 7 dps.\nAnswer: 0.0011432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17746 (base 9) to base 15.\nAnswer: 3983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 - 4*g + 2. Suppose 0 = -6*m + 3*m + 39. Let y be m + (-1 - 1)*8\/8. Let z(h) = h**2 - 10*h - 8. Let k be z(y). Calculate w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703 = 119*g - 725 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*(-18)\/(-585)*-15.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let y(t) be the third derivative of -t**5\/60 + 21*t**2. Determine g(y(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 17*m + 15. Let k = 11 + 22. Let o = k + -15. What is the remainder when n(o) is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 5*h. List the prime factors of y(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8197*k**5\/3 + 172138*k**4\/3 - 40992*k**3 - 795094*k**2\/3 - 491723*k\/3 + 20 = 0. Calculate k.\nAnswer: -1, 1\/8197, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 11*b + 11. Let f be c(-12). Which is smaller: f or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 988\/3507 - -2\/501. Which is the third biggest value? (a) -0.01 (b) 16 (c) k (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/9 + 445489336*m\/9 - 148496444\/3.\nAnswer: -4*(m - 111372333)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1570209806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b + 134. What is the remainder when 174 is divided by q(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45884\/369 - -1120\/9. Let h = -17\/246 - i. Which is the biggest value? (a) h (b) 3 (c) -2\/11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 80 = -2*r, r = -0 + 5. Calculate the remainder when x\/(-5)*(-2)\/(20\/75) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 16004928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 242723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 32*v + 117. Let s be t(-5). Let z(l) = -l**2 - 52*l + 198. Does 39 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*7\/546*-4*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 2*n**2 - 2 + 4*n + n + 7*n**2 in the form l*n**2 + s*n + z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t + 40. Let b(v) = 7*v**2 + 67*v + 143. Let w be b(-6). Calculate p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(85)*-2*-4*1)\/(sqrt(405) - -2*sqrt(405)*1)).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 28*c**4 + 12*c**3 + 76*c**2 - 16*c - 48 = 0 for c.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -116*j + 132. What is the lowest common multiple of 208 and l(1)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w\/w**(-2\/11)*w**7*w*w**(-2))\/((w*w\/(w\/(w*w**(2\/9)*w)))**44)**(-6\/23) assuming w is positive.\nAnswer: w**(36559\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*b - 46725 + 184447. Let r = b + -21289\/4. What is the common denominator of r and 93\/92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*k - 2*k. Let u(b) = -b + 8. Let m(n) = 8*n**3 - n**2 - 2*n + 17. Let w(r) = -m(r) + 2*u(r). Give w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*d + 4 = 0, 561*j - 559*j = -4*d + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -178796, -178349, -177902, -177455?\n\"Answer: 447*g - 179243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 11. Suppose m*n - 3*n = 375. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g - 60. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 5*c + 109\/2*c**2 + 0 + 5\/2*c**3. Differentiate h(r) with respect to r.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z + 15. Let u be a(4). Which is smaller: -46 or u?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 4, e: 2}. What is prob of picking 2 x?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:41 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 16 + 24. Let x = -1452 - -1472. Suppose 0 = 5*g - o + x, 0 = 5*g + 3*o - 0*o + b. Put g, -4, 5 in decreasing order.\nAnswer: 5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 1530, 5149, 12204, 23841, 41206, 65445?\nAnswer: 97704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -130. Calculate the highest common divisor of 312 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 254211903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 514276*o + 348790 wrt o.\nAnswer: 514276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1671787845 and -3147.\nAnswer: 1671784698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 9*o - 22. Which is the third biggest value? (a) -2 (b) 0 (c) o (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 + 184. Let m = 26 + -14. Let o = m - y. Which is smaller: 1\/20 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 6*n + 2*n + n - n + 2*n + (-3 + 0 + 5)*(-2 + 2 + 2*n) - 27*n + 178 + 9*n + 19*n to the form f*n + b and give b.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (21 - 22)*(-4 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11404 is divided by 113.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87330 - 1749004?\nAnswer: -1661674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 522, 730, 940, 1152?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.1. Let l = a + -0.2. Let s = 5 + -6. Is s at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.048 - -0.048. Which is the nearest to -2? (a) t (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 7*w**2 + 7*w - 10. Let f be x(7). Let l = f - 33. Suppose 0 = -4*a - 4, -j = -l*j - 5*a. Solve -2*b + 3 + j = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204*(399\/76 + -5) + (-6 - 1).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3 + -2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**6\/15 - 7*k**5\/20 - k**3\/3 - 27*k**2\/2 - 2*k. What is the second derivative of x(d) wrt d?\nAnswer: -24*d**2 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 6. Let t(a) = 649*a + 40. Determine -5*n(m) - t(m).\nAnswer: -654*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/(g\/(g*(g**(3\/4)\/g*g*g)\/g*g)))*g*g*g)**(6\/5)*g**0*g**(-7) assuming g is positive.\nAnswer: g**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238612?\nAnswer: 2, 37, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11553*z**5 - 9*z**2 + 6*z - 19 wrt z?\nAnswer: -693180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1008)*-2 + 2 - sqrt(1008)) + 2)**2.\nAnswer: -288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 19*w + 12*w)*(-1 + 0 - 1) + (5 + 1 + 0)*(0 - 1 + 0 - w).\nAnswer: -70*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, -1 in descending order.\nAnswer: -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-2 - -4) + -2. Suppose 0 = -g*s + 2*k + 2, 2*s - 5 = 3*s + k. Let w be 1*2*s\/12. Which is the closest to -1? (a) 5 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 - (-103)\/(18540\/2840). Let r = -316\/3465 + -2\/495. Which is the fourth smallest value? (a) r (b) t (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31518 + 3*l**3 - 4*l**4 - 31517 + 74*l**2 + 3*l**4 - 43*l**2 + 39*l**2 to the form q*l**2 + n*l**4 + v + m*l + b*l**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100111001 + -10?\nAnswer: 1000100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1980, -1933, -1886, -1839, -1792, -1745?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -10, 0, -7\/6, 15 in increasing order.\nAnswer: -10, -4, -7\/6, 0, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -49*m**2 - 26*m - 11. Let k(q) = -10*q**2 - 5*q - 2. Give -11*k(x) + 2*o(x).\nAnswer: 12*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -7)\/(-2*(-9)\/36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 3459600?\nAnswer: 169520400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*6)\/sqrt(11).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Solve -y*h - 3 - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/27*2*(-33)\/(-352).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -269. Let c = -197.99838 + u. Let t = c - 0. What is t rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*f + 2*y - 5, -7 = f - 4*y. Let a be (-8)\/(16\/5)*-2. Suppose 8*l - 4*l + w = 16, 5*w - 5 = a*l. Sort f, 4, 2, l in increasing order.\nAnswer: 2, l, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*k - 5, -3*k - 7 = f - 21. Suppose i - 7 = f*h + 2, 7 = 2*i + h. Solve -i*u = -2*r + 30, -2*u + r = 3*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000338881 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 11.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 4. Let r be j(-5). Let m(o) = 14*o + 25. Let f(c) = -3*c - 6 + 3*c + 2*c - 8*c - 5. Let b(u) = 9*f(u) + 4*m(u). Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 + 14*m**2 + 3*m + 10. Let l be -4 + -1*(-30)\/2. Let j(w) = w**3 + 5*w**2 + w + 3. Let y(x) = l*j(x) - 4*o(x). What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 58*x**3 + 37. Let b(n) = 29*n**3 + 18. Let z(k) = -5*b(k) + 2*o(k). Find the first derivative of z(l) wrt l.\nAnswer: -87*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 3*i)*(-1 + 1 - 2) + i + 2*i - 5*i + (-71 - 36 + 32)*(6*i + 2*i - 2*i).\nAnswer: -454*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75262 and 6407533.\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**7\/2310 + s**6\/440 - s**5\/660 - s**4\/88 - 142*s**2 + 4*s. Find y such that d(y) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -100 - (1707 - 1691)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 19*d + 119. Calculate the remainder when 6\/4 - 410\/(-4) is divided by j(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(60)*3 + (sqrt(4860) - 2*sqrt(4860)) + sqrt(60))\/(sqrt(132)\/((-2*sqrt(121) + sqrt(121))\/sqrt(11))) + -4.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y. Let b(z) = -19*z + 14*z - 13*z - 11. Let j(f) = -8*f - 6. Let a(t) = 6*b(t) - 11*j(t). Give a(s(r)).\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (414\/(-5796))\/(4\/(-364)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(-1*sqrt(7)))\/(((sqrt(28)\/sqrt(4) - sqrt(7)) + sqrt(7))*-4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = 4. Let o be n + 1 + ((-50)\/2 - 0). Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((22\/2)\/22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20)\/sqrt(4) + -2 + 0.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 18*l = -12. Let k = 86 - 81. Solve -161*r + 173*r - k - 3 - 4*r**l = 0 for r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 35\/5 - 4. Solve 5*l - 5*w - 35 = 0, l = 5*w - s*w + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p - 4. Let s be ((-19)\/((-950)\/20))\/(2\/(-5)). Let b be (-5)\/s + -4*(0 - -1). What is the nearest to -2\/3 in p, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 156\/42 - (-4)\/14. Suppose -2*v = k*v. Let f(a) = 5*a + v - a + 0. Let z(p) = -p. Give f(z(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o*o*((o*o**(-10))\/o)\/o)**26\/((((o*(o**(-7\/4)\/o)\/o*o)\/o)\/o)\/o**(2\/3)))**(1\/53) assuming o is positive.\nAnswer: o**(-1819\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73626 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710130 rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1415 + 365. Suppose -m - x = 4*x + k, 5*m + x = -4450. Round m to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 take away -1.745649?\nAnswer: -176.254351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1525, -4077, -7647, -12235, -17841, -24465?\n\"Answer: -509*j**2 - 1025*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 752 and 608?\nAnswer: 28576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33612753, 33612751, 33612749, 33612747?\nAnswer: 33612745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*p + 23, 5*p - 5*c = -2 - 3. Let v = 0 - p. Let g(x) = x**2 + 2*x - 5. Is g(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-7)))\/l)\/(l**(-7)\/l))\/(l**(3\/4)*(l**(1\/2)*l)\/l)*((l**(-1\/5)*l)\/l)**23*l**(1\/13)\/((l**(-9)*l)\/l) assuming l is positive.\nAnswer: l**(4479\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 - 5*y**2 + 5*y**2)*((19 - 19 - 7*y)*(-3*y + 3*y - y) + 9*y**2 - 39*y**2 + 182*y**2) in the form x*y**4 + j*y + m*y**3 + v*y**2 + t and give x.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 209.018 or -0.06?\nAnswer: 209.018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let s(k) = 375628*k**2 - 3*k - 4. Let z(i) = -2*n(i) - s(i). Let b be z(4). Round b to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*v**3 - 6\/5*v**2 - 36\/5*v + 27\/5 + 3\/5*v**4.\nAnswer: 3*(v - 1)**2*(v + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-28) + (8560\/35)\/2. Suppose -j - 2*f + 3*f = -y, 4*j = -5*f + 497. What is the greatest common factor of j and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 306 + 158 + 148.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211 + 182*y**3 + y**2 + 183*y**3 - y - 367*y**3 to the form r + g*y + c*y**3 + d*y**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 34. Suppose 0 = -g - 4 + 9. Suppose 20 = -g*v + 5*k, v = 6*v - 4*k + 17. What is the second smallest value in r, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f - 4. Let r be 16\/(-20)*-1*5. Let b(z) be the first derivative of z**4\/2 - 11*z**2\/2 - 11*z + 3. Give r*b(v) - 11*t(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.06, 1, 0.18, 557?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -0.052, -5, 0, 2, -7\/9190?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2677 (base 15) to base 4\nAnswer: -2000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*x - 190, x + 4 = t + 33. What is the remainder when x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 24*j - 47. Let z be l(-26). Solve 3*c + z = 2*t - 0, 5*c + 5 = 5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 846*s**3*y**3 + 2*s**3*y - 2*s**3 - 712*s**2*y**2 - 3*s*y**4 wrt y?\nAnswer: 5076*s**3 - 72*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 3*s = 7*y + 35, 3*y = s + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344157989 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Let x(k) = k**3 + k - 1. Determine x(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (216\/5)\/(168\/70*-11 + -137 + 163)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(117) - (sqrt(117) - (sqrt(117)*2 + sqrt(117) + sqrt(117)))))\/sqrt(900) - ((-2*sqrt(143)*1)\/((sqrt(88) + (2*sqrt(88) - sqrt(88)))\/sqrt(8)))**2.\nAnswer: -13 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-70)\/7)\/(-10))\/((-4)\/20). Let n = 12 - 12. Suppose -3*b - b = n. Does h = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180933455491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*((h*h*h**1*h)\/h)\/h)\/h**(1\/2))\/((h\/(h*h\/(h\/(h*h\/(((h*h**5)\/h)\/h)))*h))\/(h\/h**(1\/17))) assuming h is positive.\nAnswer: h**(117\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c = 47*c - 2*j - 18, 2*c - 6 = -2*j for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37660?\nAnswer: 2, 5, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**3 - 2*w**2 + 7*w**2 - 13*w**3 + 30*w**3 + 5. Let h(x) be the first derivative of -3*x**4\/4 - 2*x**3\/3 - 2*x + 11. What is 5*h(f) + 2*t(f)?\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*s = -0*s - 18, 5*x + 5*s = 5. Suppose -8*f = -x*f - 572. What is the highest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 1312*d**2 + 7920*d + 509. What is m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 - m - 4. Let k be l(3). Suppose 111 = p - 2*v, 4*p + 3*v - 378 = p. What is the highest common divisor of p and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*c - 2*c. Let i be (-4)\/8*(2 - c). Calculate the common denominator of (-715)\/(-90) - i\/(-9) and 31\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4 in decreasing order.\nAnswer: 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1 - 0.27341905?\nAnswer: 36.82658095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1710060 and -1710107 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.070948.\nAnswer: 0.212844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -0.05. Let f = -0.14 + g. Let m = -16009\/27 - -593. Do m and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.340412 litres to millilitres.\nAnswer: 3340.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85241 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {h: 1, l: 5, p: 2, r: 6, x: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 12.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 430744143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/4 - l**4\/4 + 13*l**3\/4 + l**2\/4 - 12*l + 9 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/3 - 233*f**2\/3 + 7112*f\/3 - 17052 = 0. Calculate f.\nAnswer: -261, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:56 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 0, 5*p - 393 = -4*m - 13. Suppose 6*o = 37 + 83. Suppose q - o = -2*k, q = 4*q + 2*k - p. What is the greatest common divisor of 182 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p**2 + 2*p + 1. Let y(t) = t**3 - 3*t**2 + 4*t - 2. Let f be y(2). Let a = 1 - f. What is the units digit of s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -5, 2184.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*s + 4. Suppose h - 34535 = s*u + 14462, 0 = 4*u + 5*h + 98015. Round u to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:57 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 6, -1, -71?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907 divided by 153?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:29 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxfxfxfxffffxxxffx.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 3*y**2 + 12*y**2 - y**2 in the form u*y + b*y**2 + k and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361326458?\nAnswer: 2, 19, 23, 413417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 v when four letters picked without replacement from vpbbvvvhp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = 113*t + 496 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1216 (base 10) to base 3.\nAnswer: 1200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 3*s - 1. Suppose -2*x - y = -2 - 3, 5*x = 3*y + 40. Let t(l) = -7*l**2 - 6*l + 1. Let j(q) = x*w(q) + 3*t(q). Factor j(u).\nAnswer: -(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4\/339, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 16*p**3 + 35*p**3 + 2 - 2.\nAnswer: 19*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4508411 and 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -187.9, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00611 and -27.\nAnswer: 0.16497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 1356 + 1136. Let w = n - 612. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 41 - 51 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.1248 days in nanoseconds?\nAnswer: 51332382720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/j**(-1)*j))\/j**(-2\/3))\/(j**(-4\/7)*j\/j**(-6)))**(12\/5) assuming j is positive.\nAnswer: j**(-568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 + 59*r - 5. Let u be y(-17). Which is smaller: u or 724?\nAnswer: 724","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 83*y**2 + 6*y + 6. Let d(j) = -5313*j**2 - 385*j - 385. Determine 6*d(i) + 385*o(i).\nAnswer: 77*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -182, -373, -626, -935, -1294?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21010 (base 4) to base 13\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 21. Let c be q(3). Solve -v + 2*s = -9, -4*s - c + 12 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 535*z**2 + 126*z + 23. List the prime factors of d(-6).\nAnswer: 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -28*b**2. Let j be 4\/(-10) + ((-1816)\/(64\/(-8)))\/5. Let t(d) be the first derivative of 0*d**2 + 0*d + j + 1\/3*d**3. Calculate t(u(z)).\nAnswer: 784*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 8*n**2 + 7*n. Is 15 a factor of b(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2376)\/(-96))\/(3*(-3)\/(-36)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1257 - 1?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*q - q**2 + 0 + 2*q**3 + q**4 - 1\/2*q**5 = 0. What is q?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*b - 29, 5*z = 5*b + 3 + 2. Suppose 5*w - 11 = -1. Suppose -a**4 + 0*a**3 - a**2 - w*a**b + 0*a**4 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41471.948 - 41546. Let n = -0.052 - d. Let r = n + -73.38. Round r to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*i**3 + 735*i**3 - 527 - 1230 - 244*i**3 - 244*i**3.\nAnswer: 2*i**3 - 1757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (639 - 14\/7)\/(-1 + -4 + 6). Calculate the highest common factor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/27, 674, 1 in descending order.\nAnswer: 674, 1, -5\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:59 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8688 + -8682. What is the highest common factor of 11490 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 12. Let s(d) = -7*d**2 - 164*d - 66. Let t be s(-23). Solve 5*p + t = -r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:36 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 487839.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*t - 41, 3*t - 72 = 5*n + 9. Suppose 1 = 4*k + 1. What is the smallest value in -3, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2087162.2 + -0.3395.\nAnswer: -2087162.5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 33895*u + 271265. What is b(-8)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 5*i**2 - 5*i + 2. Determine q(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263898 = 235*b - 8*b - 89768. What is the greatest common divisor of 615 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2891 - 0.2\nAnswer: -2891.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -3*g**6\/10 - 43*g**5\/60 - 541*g**2. What is the third derivative of c(j) wrt j?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 2353, 5280, 9421, 14800, 21441, 29368?\nAnswer: 38605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 3\/(-1) - -1. Suppose 0*m + 56 = q*m + 2*b, -2*b = 3*m - 42. What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 4*f. Let u be 4\/(-6)*(-36)\/8. Let i be q(u). Suppose 17 = 4*h - 5*j, i*h + 5*j = -h + 7. Solve -h*r = -0*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1)*(2 - 1). Let n = -135\/337 + -12999\/15502. Let l = -6\/23 + n. Is i at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/40 and 47\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14920356 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/65 - (-316)\/1027.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + (-25335)\/(-1050))\/(-2 + 102\/30 + -2)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1350045 (base 6) to base 7\nAnswer: 436004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajzj when four letters picked without replacement from ijazjyy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3066.2 + -3066. Sort -0.2, -164, u in ascending order.\nAnswer: -164, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**2 + 33*b + 12. Let x(n) = 7*n**2 - 18*n - 6. Let z(r) = -6*c(r) - 11*x(r). What is z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + c. Let b(g) = 4*g**2 + 2*g. Let u(f) = b(f) - 2*o(f). Let l(h) = -90*h**2. Determine l(u(k)).\nAnswer: -360*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*l**3*z**3 - 19401*l**3 - 47*l*z**4 wrt z?\nAnswer: -201*l**3*z**2 - 188*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*r - 15, 42 = 3*k + k + 2*r. Let u = k + -8. Suppose -3*q = -4*g - 3, 0*q - 1 = -q + u*g. Solve 4*t = i - 1, -26 = -5*i - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**2. Suppose -213 + 73 = -5*g. Let q(x) = -g*x**2 - 28*x**2 + 51*x**2. What is q(f(t))?\nAnswer: -845*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1239 - -1245. Let f(v) = -v**3 + 2*v**2 + 5*v + 2. Calculate f(z).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzjjjzjzzjzz.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2504*i - 2300*i - 1885*i - 15129 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2743 by -437.\nAnswer: 2743\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 (base 8) in base 13?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-12)\/(0 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*2*-3.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -772851, -1545702, -2318553, -3091404, -3864255, -4637106?\n\"Answer: -772851*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35\/(-42) + 590\/60 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/54 - (1930\/(-6369) - (-3)\/22)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**4\/6 - 3*b. Let l be 18 + (2 + -5)\/3. Let s(y) = -l + 17 - 2*y**2. Determine w(s(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 158\/7, 12, 2\/17, 6, 88.5?\nAnswer: 158\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5598571, -5598576, -5598581, -5598586, -5598591?\nAnswer: -5598596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 0 (c) 0.2 (d) 3 (e) 0.0495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49758 is divided by 1189?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69502, -69500, -69496, -69490?\nAnswer: -69482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -616, -2475, -5574, -9913, -15492?\n\"Answer: -620*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(288) - sqrt(288))*-1 + sqrt(288) - sqrt(288)*1*-1) + (1 + 0 + sqrt(288))**2 + 3*(sqrt(288) - 2*sqrt(288)).\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 6. Let n be m(-2). Suppose -5*i - 5*s - 1065 = n, -2 = 4*s + 10. Let w = i - -314. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63313001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -50*y + 1005. Determine c(18).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnnznnnnnvvnzvvvn. What is prob of sequence znv?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 + 87*l**2 + 298*l - 30. Give c(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 193 - (-1 + 3) - 0. Let q = m + -134. Let b = q + -52. Solve -3*n + 10 + b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from klkqlsqslqkjkl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/5 - 203*b**4 + 82418*b**3 - 16730854*b**2 - 306*b - 3. Solve g(a) = 0.\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8 = -2*p, 12*v = -4*p + 8*v - 4. Which is the third smallest value? (a) 41 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215) + sqrt(1215)*1 - (sqrt(1815) + sqrt(1815)*-2))\/((sqrt(15) - sqrt(15)*-1*3)\/sqrt(3)).\nAnswer: 29*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288325?\nAnswer: 5, 31, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i - 3. Let t(r) = 4*r + 14. Suppose 4*n - 3 = 93. Suppose 0 = -h - 5*h - n. Let k be t(h). What is v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31949 - 31942. Suppose 4*o + 3 - 2 = -3*t, -2*t = 2*o. Let q be (2\/(-6))\/(o\/(-3)). Is q less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {v: 5, t: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -2*a + 148. Let x = -147 + a. List the prime factors of x.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 5, -0.1, -3.42, -38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 3*z**2 + z - 52. Calculate d(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 144 = -p + 459, -p = -4*i - 621. Is p a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 12*a - 7. Let b be l(11). Suppose 4*z + 4*w + 4 = -8, 2*w + b = -3*z. Does 13 divide 1 - z*(-93)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (8 + -13 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -22*c**3 - 2*c**2 - c. Suppose -2*h = -4*q - 10, 0*q + 8 = -2*q + 2*h. Let b be u(q). What is the greatest common factor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 1, -9, -35?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let n be o(-1). Let x be (1 + 0)*(0 - n). Suppose 4*z - 5*z + 14 = x. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -170346 (c) 5\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 - 3*c**2 - c + 2 + c**3 + 0*c - 5. Let s be l(-5). Solve -a - 4*m = 7, -s*a = -2*m - m - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/12*3*-20. Let s = a + -8. Suppose s*q + q = 15. Solve 0 = -q*m - 0*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37165741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52785 and 2700.\nAnswer: 1055700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 7*a - 824000. Round a to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -160?\nAnswer: -13\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8590 by -1.\nAnswer: -8590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661924 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.210285 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10286778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403990 and 219035.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k - 58. Let o(x) = 7*x - 31. Calculate -6*j(q) + 11*o(q).\nAnswer: -q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 50167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 36*y**3 + 17*y**2 - 34*y + 16. Calculate s(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*m - r, -m + 14831*r = 14828*r + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -67*b - 251. Let r(m) = 70*m + 253. Let h(z) = 6*d(z) + 5*r(z). What is the first derivative of h(y) wrt y?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-3) + 8 - 56\/(-6). Solve -3*j = 3*m + 9, -5*m + 23 = -5*j + w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1430613288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 5. Let h(u) be the first derivative of -u**2\/2 + u - 6671. What is -2*h(s) - o(s)?\nAnswer: -7*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 + g - 2. Let c be r(4). Suppose 2*x + 3*x = -40. Let u = x - -11. Solve c*b - 2 = u*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/9 + 8*l**4\/9 + 8*l**3\/9 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 2*a. Let h(k) = 11*k**2 - 6*k + 3. Let o(c) = -7*c**2 + 4*c - 2. Let s(f) = -5*h(f) - 8*o(f). Calculate s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -3, 53, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 9. Let d be n(6). Suppose d*u = -3*x - 44031, 3*x + 20 = 7*x. Is 1\/(-3) - u\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92545 is divided by 230.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 + -228.09. Let g = u - 0.01. Round g to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 + 14\/15*z**4 + 2\/15*z**5 + 0*z + 0 + 4\/3*z**3.\nAnswer: 2*z**3*(z + 2)*(z + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291767 is divided by 24372.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:08 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/(-4) + 2)*-1. Calculate the remainder when 430\/z - (-6)\/27 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2685234*p*t - 3271833*p wrt t.\nAnswer: -2685234*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 23. Let r be t(-5). What is the lowest common multiple of 38 and r\/12 - 195\/(-20)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/105 - 8 - 69\/(-14)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -31. Which is the third smallest value? (a) -0.6 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + -2 + -33 + 33 + 4 + 5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-837)\/108)*(-2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**11\/221760 - y**10\/302400 - y**9\/60480 - y**5\/60 + 3*y**2. Let n(q) be the third derivative of l(q). Factor n(f).\nAnswer: f**3*(f - 1)*(3*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -46. Let y(t) = t**2 - a*t + 13*t. Let u(j) = -7*j + 5. Let b(k) = -3*k + 2. Let l(o) = 5*b(o) - 2*u(o). Calculate y(l(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/12*(-3)\/2. Suppose 3*q + 11 = 2*d, -15 = -2*d - d + m*q. Suppose -17 = -2*l + b, 2*b = 3*b + d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 12) to base 11.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 4*g - 29 - 3 - 15 - 3*g**3 - 30 + 2*g**2 - 2*g**4 to the form t*g + c*g**4 + m*g**3 + i + n*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.728237 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 645 and 832179.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -36\/11, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 9*r - 3. Let m be b(2). Let y be -7 + 3 + -4*m\/(-2). Determine n so that -1\/2*n + 1\/2*n**3 + 0 + 1\/4*n**y - 1\/4*n**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34557937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4 and ((-832)\/(-72))\/((-8)\/6 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 29*b - 15. Give u(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(22\/66 + (-10)\/12). Let l be 162\/22 - x\/(-121). Solve -l*w - 9 = 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -58*a. Let o(s) = -4*s**2 + 3*s + 3. Let m(u) = -u**2 + u + 1. Let v(y) = 6*m(y) - 2*o(y). Determine v(w(q)).\nAnswer: 6728*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*o - 70*o - 516 = 0. What is the lowest common multiple of 274 and o?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -267, -540, -815, -1092, -1371, -1652, -1935?\n\"Answer: -x**2 - 270*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - -2913. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147606516272539253\/27305003 - -5405841423. Let v = i + 631100517539\/28670253150. Let r = v - -27\/175. Find the common denominator of 85\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241202122 (base 6) to base 9\nAnswer: 8481885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20569408*o**2 - 18*o + 1527780 wrt o.\nAnswer: 41138816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 116*i**2 + 32547*i - 3736327. Give u(114).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammlafgabb. What is prob of sequence fl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 842200 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 94*w - 92*w = 3, c + 2*w - 29 = 0. Let f be -4 + ((-6)\/(-2) - 0). Let s = f - -6. Calculate the smallest common multiple of c and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 24144*p + 48. Let b(l) = -l**3 - 14486*l - 28. What is 12*b(a) + 7*c(a)?\nAnswer: 2*a**3 - 4824*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 3 + (-5 + 1 + 2)*(7 + 8 - 1))*(-20 - 5*x + 20)*(x - 2*x + 0*x).\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411771.\nAnswer: 3, 29, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 1892341913.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/24 - g**2. Let l(r) be the first derivative of -r**3 + 10. What is h(l(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let p(h) be the first derivative of h**5\/24 - h**3\/3 + 4. Let i(t) be the third derivative of p(t). Determine i(u(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 - 2)\/(-2)*(-2)\/(-2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 2*t - 3. Let b be s(-2). Let m(w) = 11*w**2 - 7*w + 6. Let f be m(b). Suppose k + 2 = 0, 2*k = -4*l + k + f. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606 + 606 + 51*k**3.\nAnswer: 51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - 1134*v**3 + 5*v + 1136*v**3 - 1 + 2*v + v**2 to the form c*v**3 + p*v**2 + g + t*v + f*v**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047695 is divided by 552.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -1, 2\/55, 0.0292, -0.3, 5?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*u - 24, 0 = u - 3*u - 4. Suppose -3*l + n + n = -c, -4*l + 20 = -3*n. Calculate the lowest common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*a**4 - 10*a**3 - 826*a**2.\nAnswer: 5880*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 80*f + 877. Let p be d(13). Solve p*q - 3*q = 21 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46934 - 23529 - 23405 - 881*f**2.\nAnswer: -881*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 - 74 - 81 - 11*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w + 55. Calculate q(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/40 and (-225)\/(-24)*(-5 - (-182)\/35)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.9 (b) -1\/4 (c) -0.3 (d) 495 (e) -1 (f) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.289 times 0.35?\nAnswer: -2.90115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 4*y**2 - 3*y + 3. Let d(w) = -3*w**3 + 1. Let c be d(1). Let j = c - -6. What is t(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426742 (base 8) in base 13?\nAnswer: 11242c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 29*c**3 - 4*c**4 + 64*c**2 + 48*c + 3*c**4. Let y(n) = n**4 - 19*n**3 - 43*n**2 - 32*n. Let r(j) = 5*l(j) + 7*y(j). Factor r(m).\nAnswer: 2*m*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - r**2 + 5*r - 6. Let h be i(-3). Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 j, and 1 e when four letters picked without replacement from jergj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 - (106 + 34 - 283).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 795*p\/2 - 39663.\nAnswer: -(p - 678)*(p - 117)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25710*v**2 + 181799*v.\nAnswer: 51420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 567.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-3 + sqrt(539))*-2 + sqrt(539) + -1 + 0 + sqrt(539) + -3)*-5*1)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 392 = 834. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**3 + 0 - 3\/2*g**2 + 1\/12*g**4 + g. What is the derivative of b(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29542.8 + -29543. Which is the fifth smallest value? (a) -7\/81 (b) y (c) -2\/9 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:42 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 518963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + 1)*4 - ((sqrt(14)\/(sqrt(7) + sqrt(63)))**2 - ((-1*sqrt(98))**2 + sqrt(2))).\nAnswer: 17*sqrt(2) + 911\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 2*c - 12, -2*c - c = o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*c = -6. Let k be (c - 1 - 0)*4. Solve -7 = -3*l + t + 4, -5*t - k = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 170090635*a - 170090640.\nAnswer: 5*(a - 1)*(a + 34018128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7) + (11 - (-7 - -16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2, -3868981\/3, -2\/9 in increasing order.\nAnswer: -3868981\/3, -2\/9, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z - 5*z)*(38*z - 23*z + 89*z) - 6 + z**2 + 298*z + 300*z - 601*z.\nAnswer: -207*z**2 - 3*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 19*g**5\/10 + g**4\/12 + 2*g**3\/3 + 77*g - 2. What is the third derivative of a(w) wrt w?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 7*j - j)*((1 + 2*j - 1)*(3*j + 0*j - 4*j) + 3 - 2*j**2 - 3).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from mnmmxnp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from akbfthk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53700 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06495 and 4?\nAnswer: 0.2598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 122\/10 + (-4)\/20. Let q = -5 + a. Let j = 13 - q. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + 2*r + 117 = 0, a = 5*r - 45. Let o be 10\/a - (-20126)\/(-10). Let x = 1413 + o. What is x rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.85. Let l = y + -0.05. Which is the biggest value? (a) 0 (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8771 by -179.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (1 + sqrt(1700))) + -5 - (-3 + (sqrt(272) - (1 + sqrt(272)))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*t - 4 = 26, 5*t = 2*k + 12. Find the common denominator of (0 - 3\/(-975))\/(k\/(-555)) and -34\/91.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 199, 456, 837, 1354, 2019?\nAnswer: 2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 134, 265, 426, 623?\n\"Answer: w**3 + 6*w**2 + 82*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose 8 + 7 = 2*f - m, 0 = 5*f + 4*m - 5. Suppose 0 = -12*s - 6 + 42. Solve t*d + d - s = j, 5 = 5*j - f*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-28) + (161140\/392 - -14). Calculate the highest common divisor of l and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183456 divided by -14112.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88525*i*j - 370*j + 33 wrt i.\nAnswer: 88525*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.01 (b) -5 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -27, -25, -39, -75?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/2 - 773*l**2\/2 - 21240*l - 173250 = 0. Calculate l.\nAnswer: -42, -10, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 6*w**2 + 21*w + 18. Let v be z(-9). Solve v = -4*l + 68 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/3 + 1604*b**2\/3 + 22750*b\/3 + 26656 = 0.\nAnswer: -7, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2328 = 11*j - 3*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1122011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-1) - -4) + -1. Suppose 4*c - 102 = a*c. Suppose 2 - c = -2*f. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5547\/8 - -691. Let i = 73\/8 - x. Which is the third biggest value? (a) -1 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -3\/2168043157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - n + 22, -b - n + 6*n = 6. Let w be ((-34)\/14 - -6) + b\/(-7). Solve 3*f + w*g - 14 = -2, g + 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1617 divided by -147.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + 0*n)*(2*n**2 + 186*n - 186*n - 2).\nAnswer: -4*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.051 + -19.051. Let z = 19.4 + n. Sort z, 5, 2, -1 in decreasing order.\nAnswer: 5, 2, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-25) - 135\/25. Sort -0.7, y, -4.\nAnswer: y, -4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 70, 3\/5, 5, -469?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 5*i + 4*i)*(-501 + 180 - 248) to r*i + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8 = -3*j. Suppose w = j*w - 4. Solve 0 = w*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*c**2 + 308 - 308)*(-4 + 2 + 1 + (-7 - 3 + 2)*(-2 + 4 - 3)).\nAnswer: -707*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 0 + -1 + sqrt(2448))**2 - (-2*2*(sqrt(17) + 1*sqrt(1377)) + 3).\nAnswer: -128*sqrt(17) + 2494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a. Let s(w) be the third derivative of -5*w**4\/8 - w**3\/3 + 34*w**2 + 1. Let h(y) = -8*y - 1. Let x(z) = 2*h(z) - s(z). Calculate x(l(p)).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 26. Suppose 2*x + 3 = -17. Let o be b(x). Suppose -4*w - k + 3 = 0, 3*w - o = k + k. Solve -3*q = -2*t + 2, w*t - 5*q = -2*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*f - 49 = -912*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 98*l + 7*l + 31 + 27*l - 15*l. Is k(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 41 = -3*u + 212, u = -4*p - 216. Let a = p - -19. Let d = a - -54. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -799, -2777, -5931, -10261, -15767, -22449, -30307?\n\"Answer: -588*r**2 - 214*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 3586595.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250.1741mm to nanometers.\nAnswer: 250174100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -359.5 times -5832\nAnswer: 2096604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:14 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = -12*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/80 and -11\/104.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/5 (b) 4 (c) -3\/2 (d) -1 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -3 - ((11 - 5) + -5). What is the third biggest value in 6, 1, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/9 and 49\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 3. Let f = 704 - 658.1. Let j = 47.9 - f. Put j, g, -5 in decreasing order.\nAnswer: j, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 121*r**2 + 239*r + 952. Calculate b(38).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 6)*(-3 - 14\/(-6)). Solve 3\/2*j**g + 0 - 3*j + 3\/2*j**3 = 0 for j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(5 - 3*g**2 + 2*g**2 - 1) + 2*g**2 + 0*g**2 + 0*g**2 + (1 + g - 1)*(0*g + 0*g + g).\nAnswer: 4*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.47699.\nAnswer: 0.238495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200 - 3197\/16. Calculate the common denominator of t and 67\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 312.6? (a) 0.5 (b) 2 (c) 2\/9 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*n**2*w**2 + 4*n**2*w - 58*w wrt w?\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-546*k - 206*k + 1259*k)*((-13*k**4 - 99*k**3 + 99*k**3)*(1 + 3 - 5) + 4*k - 4*k - k**4).\nAnswer: 6084*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 14) in base 3?\nAnswer: 100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*j**3*v**2 + 15132*j**3 - 2265*j**2*v**2 + 894*j**2*v - 24*j*v**2 + 2*v wrt v.\nAnswer: 218*j**3 - 4530*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-4 - -13 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 8393902?\nAnswer: 8393902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529649 is divided by 275.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.6 - -16. Let t = -8071 + 7536.9. Let d = 534 + t. What is the second biggest value in h, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/9)*q)\/(q**(-4)*q*q))\/(q**(-25\/3)*q**(2\/57)*q) assuming q is positive.\nAnswer: q**(1780\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 1 + 27 + 3 - 9. Let s be t(-4). Let j = 3.7 + -4. Which is the nearest to 2\/7? (a) 0.5 (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 18 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4*a - 47. Calculate q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m - 26 = 66*m - 2. Is m less than or equal to -25\/168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8225.2 nanograms?\nAnswer: 0.0000082252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33473? (a) 4\/3 (b) 4 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -1, 5\/3, -1\/2, 0.09 in descending order.\nAnswer: 5\/3, 0.09, 0, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*j - 26*g**2 - 18*g*j**2 + 2*g wrt j.\nAnswer: -2*g**2 - 36*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 7. Let z be o(2). Suppose -221 = z*j - 50. Are -58 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*t + 5*i + 44, -3*t - 5*i - 13 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*v = 209*v + 52 - 6 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2. Let h(w) = -15*w**2 + 4. What is g(h(k))?\nAnswer: 2025*k**4 - 1080*k**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 2, o: 1, e: 2}. What is prob of picking 1 e and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 3770 = -4*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 37*z**2 - 839*z + 512. What is u(-53)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25 = g + 4*g, -2*f + g = 5. Suppose t + 23 = -5*v, 3*t - v + 2*v + 13 = f. Let z be 1\/(-1) + 0\/(-3). Sort z, -5, t.\nAnswer: -5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 550 + -543. Let v be -2 + -1 + 16\/4. Sort -4, o, -1, v in decreasing order.\nAnswer: o, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83 in -3\/14, -3, -1\/4, -6?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(4316\/913)*(-1)\/2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 7 = -3*q. Suppose 0 = f + 2 - 4. Let a(b) = b - 1. Let g be a(f). What is the highest common divisor of g and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -85, -3, -209\/5, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 12, s: 5}. What is prob of sequence yy?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 14*h - 4. Let s be z(10). Let r be 15\/(-28) - (-16)\/s. Which is the nearest to r? (a) 1\/2 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyykkhbhb. What is prob of picking 2 h, 1 b, and 1 k?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(468)*-2 + sqrt(13) + ((sqrt(130)\/sqrt(160))**2 - sqrt(13) - (sqrt(117) + -3 - sqrt(13))).\nAnswer: -14*sqrt(13) + 93\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3 - j + 3 + j**2. Let u(i) = -2*i - 2 - 3*i + 6*i**2 - 5*i**2. Let n be u(5). Calculate k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -16, -0.06, 1, 11.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-330)\/275*(-2)\/(-3))\/1. What is the fourth smallest value in l, 1\/4, -7, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330220 + 103210?\nAnswer: -221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 130 = -10*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 4. Suppose -20 = 3*f + 1. Let x(w) = -7*w - 7. What is f*m(t) - 4*x(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.427 - 0.3.\nAnswer: -0.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**3\/45 - 491*x**2\/15 - 1972*x\/15 + 4582. Factor l(v).\nAnswer: 2*(v - 493)*(v + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5629*y + 5543. Let s(m) = -16936*m + 16629. Let o(l) = 6*s(l) - 17*v(l). What is the derivative of o(d) wrt d?\nAnswer: -5923","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026475 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41116 and 19988.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + -2*(-22)\/60. Let t = -0.38 - -45.38. Let z = -27 + t. Which is the closest to z? (a) -1\/7 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 14*f - 16. Give q(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58864, 117731, 176598, 235465, 294332?\n\"Answer: 58867*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 7:26 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -239, -149, 303, 1123, 2317, 3891, 5851?\n\"Answer: a**3 + 175*a**2 - 442*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -614129177497 - -51?\nAnswer: -614129177446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.887\nAnswer: -0.1774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8\/165 (b) -1.593 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**5 + 6*d**3 - 4*d**2 + 11903*d.\nAnswer: -80*d**3 + 36*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597957172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159547527 to the power of 1\/2, to the nearest integer?\nAnswer: 12631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323, 622, 891, 1124, 1315?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 19*c - 43 + 1\/2*c**2 + 8\/3*c**3. What is the first derivative of b(i) wrt i?\nAnswer: 16*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 5.1. Let i = -96 + 89. What is the third biggest value in q, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = -1720593. Let j(t) = -7646*t**3 + 2*t**2 - 2*t + 3. Let s be j(-3). Let h = s - y. Round h to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*x - 4, -5*i - 5*x - 18 - 17 = 0. Let f = 6 + i. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 9) in base 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (793 - 793 - 86*c)*(15 + 8*c**2 - 15)*(c + 0 + 0) to l*c + b*c**2 + i*c**4 + t + p*c**3 and give i.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(153) + 2)*-5 + -5).\nAnswer: 30 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 13*s**8\/336 + 7*s**4\/12 - 8*s**2. Find the second derivative of v(c) wrt c.\nAnswer: 260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -975, -2, 16 in ascending order.\nAnswer: -975, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1060110 + 5?\nAnswer: 1060115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5597.\nAnswer: 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3190, 3208, 3224, 3238, 3250, 3260, 3268?\n\"Answer: -j**2 + 21*j + 3170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 + 31*y + (-y - 6*y + 3*y)*(-4 + 5 + 1).\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/1237654 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 - 3*u + u**3 + 2 + 10*u**4 - 8*u**4 to j*u**2 + c*u**4 + v + x*u**3 + r*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + x**2)*(3 - 3 - 1) + 41*x + 36*x - 71*x**2 - 79*x.\nAnswer: -70*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiimamtiiamijia. Give prob of sequence tm.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9807280 <= 9807280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8838078l to millilitres.\nAnswer: 883.8078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 60799 = -159411. Round g to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3908.6 rounded to the nearest ten?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2168332 times 3?\nAnswer: -0.6504996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 59776320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * 321754.\nAnswer: -125484.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/h**(-1))\/h)**(-18))**9)**(-14) assuming h is positive.\nAnswer: h**4536","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (582\/1455)\/(8\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 26\/7 of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 = 2*v + 6, 3*v + 7 = 5*l. Find the third derivative of -196*y**3 + 8*y**3 - 3*y**3 + 46*y**2 + 62*y**2 - 16*y**l wrt y.\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*m**3*x**2 + 2*m**3*x - 5755*m**3 + 3*m**2*x - 2*m**2 + 209655*m*x**2 + 112*m + 5*x**2 - 2 wrt x?\nAnswer: 14*m**3 + 419310*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1522, -2, -11, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -409.999999537 - -410. What is z rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/(-216)*3)\/((14\/(-3))\/(-2))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4 + 11152*c**3 + 15711980*c**2 + 462270192*c + 1245703698 = 0.\nAnswer: -2773, -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -804, -101.9, 13, 0.2, -2\/23, -3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-477)\/(-636)*5\/(15\/1228) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.07 * 620.\nAnswer: -1283.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1917 + 2.0917. Which is the nearest to -1? (a) w (b) -3\/8 (c) -3 (d) 0.559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6314272688 to the power of 1\/3, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Solve c - 4*c + 6 = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvsg. Give prob of picking 1 s and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, -316, -2153, -5734, -11641, -20456, -32761, -49138?\nAnswer: -70169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203994 divided by -975?\nAnswer: 67998\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(8\/156) + -1. What is the highest common factor of 57 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12660 is divided by 12409?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/12 + 12*p**2 - 12. Let y(i) be the second derivative of h(i). Let m(t) = -7*t + 2. Determine y(m(j)).\nAnswer: -14*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/((-5)\/(-5)). Let l be -8 - (-1)\/(-2)*-17. What is the biggest value in o, 1\/5, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/2800*-75)\/(280\/4928)\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -156.16 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763173113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1686, -6758, -15220, -27078, -42338, -61006?\n\"Answer: -g**3 - 1689*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-128)\/(-24)))\/(9\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + 3 + (sqrt(98)*-1 - sqrt(98)).\nAnswer: -13*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a7083287 + -4?\nAnswer: -a7083290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 22 = n, 79 - 51 = 3*o + 4*n. Solve 2*c - h + o = 10, 3*c + 2*h + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104.1102 times 3.39\nAnswer: 352.933578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-33))\/(69\/253)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 5. Suppose 2 = 8*f - 6*f, 19 = -5*m + 4*f. Let j(r) = -5*r + 43. Let w(h) = -h + 8. Let n(g) = 2*j(g) - 11*w(g). Determine m*i(p) - 5*n(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 3304*q**3 - 5*q**2 + 3166*q**3 - 6820*q**3.\nAnswer: -350*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 2*i + 0*i**4 + 0 - 1\/50*i**5 + 1\/5*i**3 + 2\/5*i**2. Suppose m(n) = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5631*l - 880785 = -2028*l for l.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 379718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016432 (base 7) in base 10?\nAnswer: 122327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 34, 107, 250, 487, 842, 1339?\n\"Answer: 4*b**3 - b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by ((-2)\/(-6))\/((-9)\/(-378)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2. Let v(s) = -35*s + 2. Let b be v(-10). Let h(k) be the first derivative of -5*k**2 - 1 + b*k - 352*k. What is h(c(r))?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*y - 174*y - 13046 = -5*k, 2*y + 6 = 0. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2280\/180*(-6)\/(-14) and -65\/267.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + r - 151 = 0, r = 1 - 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1631*t + 6715. Let p be z(-13). What is the highest common divisor of p and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 3?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*d*i**2*t**3 - 4*d*i*t**3 - 2*d*i - 13*i**2*t - 1932*t**3 wrt d.\nAnswer: 54*i**2*t**3 - 4*i*t**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/948750 and 41\/2213750?\nAnswer: 6641250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:22 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/6 - 264535*g**3 + 125963366405*g**2\/6 - 41986995200*g + 62980096000\/3 = 0. Calculate g.\nAnswer: 1, 158720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460883582?\nAnswer: 2, 230441791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(-2\/7)*a))\/a*a)**(4\/11))**50 assuming a is positive.\nAnswer: a**(1800\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.552 in 0, -7\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -14.7 (b) -1\/2 (c) -3\/4 (d) 2.5 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1221424 times 1\nAnswer: 1221424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**4 - 26*d**3 + 40*d**2. Let m(x) = -39*x**4 + 90*x**3 - 141*x**2. Let r(f) = 5*m(f) + 18*q(f). Find u, given that r(u) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 6. Let w be o(-4). Let z be (w - 0)*(-357)\/34. Calculate the greatest common divisor of z and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3065*g + 56 = 3057*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 179, 549, 1223, 2291, 3843, 5969, 8759?\nAnswer: 12303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 8, 3, 354, -8, 0.3 in decreasing order.\nAnswer: 354, 8, 3, 0.5, 0.3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 = -98*h + 291. Solve -14 = h*q - 46 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 177063 or 7967878\/45?\nAnswer: 7967878\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, a: 10}. Give prob of sequence xxx.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 95*x**5 + 304*x**3\/3 - 222. What is the third derivative of c(r) wrt r?\nAnswer: 11400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-60)\/(-32)*(-6)\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47242 (base 8) to base 2\nAnswer: -100111010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2640, 5270, 7914, 10578, 13268?\n\"Answer: s**3 + s**2 + 2620*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12638429, 25276852, 37915275, 50553698, 63192121?\n\"Answer: 12638423*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 - 65. Let c = 47 - z. Let m = c + 96. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 8*p**2 - 90*p.\nAnswer: 2*p*(p - 5)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191078 divided by 4.\nAnswer: -95539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 31672447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 - 8*j**2 + 14*j. Let g(m) = -5*m**3 - 8*m**2 + 12*m + 1. Let o(y) = 6*f(y) - 7*g(y). Let v = -1 + 9. Calculate o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*z - 730, -3*r = -16*z + 15*z - 576. Calculate the remainder when r is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7871852*d**2 - 2539601*d?\nAnswer: -15743704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2 + 178*w + 665. What is u(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 2*w**2 + 2 - 3*w**2 - 7*w**2. Let o be n(12). What is the third derivative of 5*j**3 - j**2 + 2*j**2 - 2*j**o + 4*j**2 wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 24 = 0. Let q = r + -15. Let d be (14 - -8)\/(2\/1). Is d < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 5*y + 3*y)*(-14*y + 785 + 43*y - 782) in the form t*y + k + b*y**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:10 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/70 + h**4\/42 - 10*h**3\/21 + 8*h**2\/7 - 14*h - 118. Let a(u) be the first derivative of r(u). Factor a(f).\nAnswer: 2*(f - 2)*(f - 1)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14740*q + 24 = 14735*q - 3*r, -5*r = 2*q + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 62*m + 91. Is u(49) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -25.4. Let z(t) = -t**2 - 4*t - 1. Let g be z(-4). Which is the nearest to g? (a) 0.1 (b) y (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/159187085 and 93\/2920.\nAnswer: 1273496680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 417698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6365 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.3 + -7.7. Let s = p - -46. Sort -2, 1, -6\/5, s in decreasing order.\nAnswer: 1, -6\/5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 2635, -3, 5 in descending order.\nAnswer: 2635, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 903389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 5*h - 5. Let u be -2 + -2 + (1 - 0). Let l(y) = -2*y**2 + 3*y - 3. Calculate u*t(q) + 5*l(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 + 346. What is the highest common divisor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7038.039cm?\nAnswer: 70380390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133827?\nAnswer: 3, 31, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(3 - 1))\/1 - (-1337143)\/267954 and 5\/3876.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 111, 256, 469, 756, 1123?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18539 + -18538.9. Which is smaller: p or -0.4059?\nAnswer: -0.4059","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35880489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l + 29*l - 57*l + 3*l + 49*l + 19*l - 2.\nAnswer: 94*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 b, and 1 y when four letters picked without replacement from {d: 2, y: 3, j: 1, v: 3, b: 3, p: 2}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 53. Let f(o) = o - 3. Let z be f(6). Suppose -u - 21 = 5*l, u - 4*l = -2*u + 13. Sort u, z, b.\nAnswer: u, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 v when four letters picked without replacement from {e: 2, v: 2, a: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 302893007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*3 + 40 + 43 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 2\/9 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 19*r - 4. Let c be p(-8). Suppose -4*m - c = 0, 3*m = s - 4*s + 1577985. What is s rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -116\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 10. Calculate the remainder when a(10) is divided by 2 - 1 - (3 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/154 and 89\/770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*t**2 - 77*t**3 + 216*t**3 - 80 - 66*t**3 - 71*t**3 - 44*t = 0. Calculate t.\nAnswer: -20, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3058920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {a: 1, g: 2, q: 7, z: 2, d: 4, u: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/9 + 4354*o**4\/9 + 138818*o**3\/3 + 13029238*o**2\/9 + 135251140*o\/9 = 0 for o.\nAnswer: -31, 0, 2270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5951772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*y**2 + 47*y**2 - 38*y**2.\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 88*d - 88*d - d**2. Let n(u) be the third derivative of u**5\/60 - u**2. What is q(n(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*p + 143 - 143)*(-190*p**3 + 87*p**3 - 15*p**2 + 91*p**3).\nAnswer: 432*p**4 + 540*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 + 13*q + 0*q**3 - 2\/3*q**4 - 3\/2*q**2 - 1\/15*q**5. Let y(n) be the first derivative of c(n). Suppose y(s) = 0. What is s?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3042 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59514 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*o**2 + 237 - 237.\nAnswer: -433*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 5*d - 10, -4*d = 0. Suppose x - 21 = -5*s. Suppose 0*k = -k + s*t + 5, -4*t - 5 = -k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4993 and -4967 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 117261505 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28249\/6054 + 1\/2018. Factor y*k + 4\/3*k**2 - 2\/3*k**3 + 8\/3.\nAnswer: -2*(k - 4)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.36 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1128*p*v**3 + 138*p*v**2 + 12*p*v wrt v.\nAnswer: -6768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 1122*w**3.\nAnswer: -3*w**3*(w + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 0 + 0 + 0*f + f - 3*f + (-1 + 0 + 2)*(f + 2 - 2) + (14 - 12*f - 14)*(4 + 2 - 5)*(8 - 5 - 15) - 4*f + f + 2*f to v + l*f and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 5*l**2 + 209.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7974, -7931, -7886, -7839?\nAnswer: -7790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*f - 2*d, 5*f - 114 - 41 = 5*d. Solve 0 = -22*m + f - 59 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:15 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.209 - -2.109. What is the closest to r in 2\/7, -3, -720?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:41 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -34. Let z = s + 5. Solve z = -4*n + n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347912\/167 less than 8071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*1)\/(30\/20). Suppose -6*t - 4*s + 24 = -h*t, 3*s - 34 = -5*t. Let k be (t - 5) + (-12)\/(-2). Calculate the greatest common divisor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 5, d: 1, x: 2, q: 2, v: 1}. What is prob of picking 1 n and 1 d?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.638193 rounded to 3 dps?\nAnswer: -0.638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153 or 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248072703?\nAnswer: 3, 82690901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6412.997947 - 6413. What is u rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2 - 7. Suppose -3*n - 6*u = -2*u - 43, -3*n + 15 = -i*u. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2722, 3374, 4462, 5992, 7970, 10402, 13294, 16652?\nAnswer: 20482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1947359 + 25*o - 1947359.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 745601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 4*d + 7. Let w be f(-5). Let t = -63529 - -63531. Solve t*v = -5*r - 13, r + w + 3 = -v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 11 = -1. Let y(q) = 10 + 4*q - 4 - a*q. Let f be y(11). Solve 4*z = -3*g - f, -g = 3*z - 3*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*d + 3*c, 2*d - 5*d - 92 = 5*c. Let b(r) = 4*r + 123. Let v be b(d). Suppose 3*u - 21 - 60 = 0. Are u and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {f: 1, z: 8, o: 2, n: 4, u: 4, j: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 9. Let c be n(6). Let z(g) = -g**3 - g**2 + g - 2. Let r be z(c). Let u = r - 12. Solve 7 = k + 3*j, u = -k + j + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (8\/(-44))\/((-3)\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 + 731 = 4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1476*w**2 - w. Let f(r) = r**2 - 12*r + 3. Let u(c) = -c**2 + 8*c - 2. Let z(d) = 10*f(d) + 15*u(d). Determine p(z(x)).\nAnswer: -36900*x**4 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -506 (base 8) to base 11\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1226 (b) 36 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*g + 40 = 0, 10*z - 5*z - 146 = -4*g. Solve -2*q + 7*q = -u - z, 0 = -2*q + 4*u - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - i - 5 = -6, -15 = -5*f + 5*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 3, b: 2, y: 8, j: 3}. What is prob of sequence ubj?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = q - 10, -4*s + 20 = 2*q - s. Find the common denominator of 3 + 1\/(3\/(-44)) and (-1 + 8\/q)*-47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1034*u**3 + 5*u**2 + 5*u + 5. Let a(g) = -18096*g**3 - 87*g**2 - 87*g - 87. Calculate -5*a(l) - 87*f(l).\nAnswer: 522*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - q - 129, -6*q = b - q - 117. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 42 = -5*j. Let h(m) = -m**2 + 21*m + 27. Let v(s) = -s**2 + s. Let y(l) = -h(l) + 2*v(l). What is the units digit of y(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -21*z - 9. Let q(g) = 2*g + 1. Let x(t) = -j(t) - 9*q(t). Let p(u) = -70*u**2. Determine p(x(s)).\nAnswer: -630*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1057\/5 + 211. Which is the closest to -1\/2? (a) -4\/5 (b) f (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 10:30 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -525*b**2*v**5 + 6*b**2*v**2 - b*v**3 - 2*v**2 - 1 wrt v.\nAnswer: -31500*b**2*v**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/12)\/(15\/(-54)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 87*c - 4. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/105)\/((-5)\/(-25))*765\/(-15)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 7}. Give prob of picking 2 w and 1 o.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2724222 - -4?\nAnswer: 2724226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/7 (b) 1.8 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-3))\/(4\/(-36)). Let j be (-9)\/(-12) + 9027\/c. Suppose -13*q = -16*q + j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*((-2)\/1)\/2)\/(-6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 9712*r + 306688.\nAnswer: 4*(r - 2396)*(r - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-627)\/(-627))\/((3\/(-10))\/3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 23*l**2 - 22*l + 15. Let b be z(22). Let y(i) = 19*i**2 + 3 - 19 - 8*i - b*i**2. What is the least common multiple of 16 and y(-6)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*o - 5*z + 16, -o + 2*z = -17 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 1. Let j(q) be the first derivative of q**4\/12 + q**3 - 3*q**2\/2 - 4*q + 3. Let p(t) be the first derivative of j(t). Give 5*n(b) + p(b).\nAnswer: b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1077 and 24412?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -b41a54?\nAnswer: -b41a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 1, f: 1, j: 2, t: 1, a: 1}. Give prob of sequence ftja.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 22122?\nAnswer: -22132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6016 (base 10) to base 16\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824240786 to the power of 1\/2, to the nearest integer?\nAnswer: 42711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 5*a - 5*q + 87, 5*a + q + 154 = 0. Let y be (0 - 2)*3\/a. What is the nearest to 0 in -0.4, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:32 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1249 + 1377. Calculate the remainder when f is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 908 - 191. List the prime factors of l.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 5*y**2 - 8*y + 2. Let l(p) = 2*p**3 + 6*p**2 - 9*p + 3. Let w(r) = 4*l(r) - 5*z(r). What is the remainder when w(-3) is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82895899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (16 + 8 - 8) + -19 + 10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26250 and 209250?\nAnswer: 7323750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + (sqrt(425) - ((sqrt(425) - (sqrt(425) + 0)) + -5)) + 3 + sqrt(425) + 3)**2.\nAnswer: 330*sqrt(17) + 3946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 8199.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2122495470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + p + 510. Let a be (0 - (-26)\/(-3))*p\/(-34). Solve 0*i = -3*n + 3*i - 18, -a = 5*n - 3*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2286 and 15264?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 - i + 8. Determine d(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.315739 - 5\nAnswer: -5.315739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99647, -99643, -99639, -99635?\nAnswer: -99631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 + -215. Is 5 a factor of (-372)\/8*16\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c + 390. What is q(0)?\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -4, -96 in increasing order.\nAnswer: -96, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -17*f + 48. Let q be 6\/f*88\/(-11). Solve -2*n + 1 = -q*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150062 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166885 + 166580.724. Let n = -305 - b. Let k = n + 0.124. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 133998*t - 13. Let d be b(1). Suppose -4*g - 536020 = -4*p, 6*g - 5*g + 3*p + d = 0. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 - 11*f + 22. What is u(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**10*n)*n)\/(n*n*n*n**(5\/7))*(n\/(n**(-2\/13)*n))\/(n**(-6)\/n) assuming n is positive.\nAnswer: n**(1314\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 20, -330 in increasing order.\nAnswer: -330, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 176571961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + 3*a + 2. Determine k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 3\/2 (c) -100 (d) -1 (e) 0.3 (f) 33 (g) -294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13539077363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353 by -2.\nAnswer: -353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19882 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*g = 2*r - 18, 0 = 2*r - 3*g - 22. Suppose -r*y = -5*y - 123. Let f(d) = d**3 + d**2 + 7. What is the remainder when y is divided by f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/(-330)*((-15)\/(-12))\/(39\/(-312)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62270 divided by 958?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-9))\/(1*(-4)\/12). Let n be (4\/(-4) + 2)\/(1\/d). Let x be 2796 - (-4 - -5 - n). Round x to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.95 + 1906.95. Let w = 1793.81 - j. Let d = w - -104. Is d greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - r = 2280. Suppose 5*a - r = -0*a. Let o = a - 74. Let y(l) = -4*l**2 + 4*l - 2. Calculate y(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 e when three letters picked without replacement from eznhjnj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 55. Suppose -a = 4*c + 13. Let i = -3 - c. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 16 = 11*z. Suppose 0 = -z*k + 3260 + 3008. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/(-33) + 80\/6 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 1083.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -406520474 divided by -1\nAnswer: 406520474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/93 and 143\/186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -455 and -0.728?\nAnswer: 331.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/11 - 1616*z**2\/11 + 3224*z\/11 = 0. Calculate z.\nAnswer: 0, 2, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 89?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 4*v + 4*v)*((-2 + 2 + 3)*(-5*v + v + 3*v) - 359 - 66*v + 359 - 3 + 2*v + 3) to p + i*v + k*v**2 and give k.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150563561.4 milliseconds to weeks.\nAnswer: 0.2489476875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 28643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 + 1092*m**3 + 7816*m**2 + 6720*m = 0.\nAnswer: -6, -1, 0, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7869496\/655500 + 4\/(-750)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.4 (b) -22 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208*p**5 - 149*p**3 + 45*p**2 - 14178075*p.\nAnswer: -4160*p**3 - 894*p + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q + 740 = 0. Suppose -16*a + q = -12*a. Let k(c) = c + a + 0*c - 36. Give k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.1 - 8.1. Which is the nearest to h? (a) -0.05 (b) 3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.179*0.091\nAnswer: -0.107289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10152 (base 6) to base 9.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 3*n - 2 - 3 + 4*n. Let v(b) be the third derivative of -b**4\/24 - b**3 + 30*b**2. What is 6*g(z) - 5*v(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678266720 a multiple of 5772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**2 - 4*d**3 + 0*d - 1\/30*d**5 + 1\/270*d**6 + 0*d**4 + 2. Let f(x) be the third derivative of t(x). Factor f(p).\nAnswer: 4*p*(p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7884)\/(-783) - (11 + -1). What is the nearest to 0 in z, -0.1, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*l - 1261*a**2 + 20*a*l - 63112*l wrt a?\nAnswer: -4*a*l - 2522*a + 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6078899?\nAnswer: 6078899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117.587 - 45.535. Let m = -0.122 - j. Let c = m - 162.9999931. Round c to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + -1 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -61. Let k = h + 21. Let i = 843 - 71657\/85. Put 0.5, k, i in increasing order.\nAnswer: k, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167.61 - 1.39. Let w = f - -168.6. Which is the third smallest value? (a) -1\/4 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12039a (base 14) in base 12?\nAnswer: 258158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/(t\/(t*(t*t*t*t\/(t\/(t*t\/t**(3\/7))*t)*t)\/t*t))*(t\/t**(-1)*t)**19)\/((t\/t**5)\/(t**(-1\/2)*t))**7 assuming t is positive.\nAnswer: t**(1233\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 215 = -8*k. Suppose k - 167 = -9*r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert be114 (base 15) to base 2.\nAnswer: 10010011100011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068\/24*(-1 - -7).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/14 + (-4)\/14. Sort c, -2, 2 in descending order.\nAnswer: c, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:20 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 at most 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187437 is divided by 1024.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 9. Let s be 4 + (-24)\/4 - c. Let j = 46 + s. Solve 4*i - j = -11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1279\/781 + -58\/71. Let c = 2987 - 14887\/5. What is the common denominator of y and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*j = -23, -2 = -6*j + 4*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4214284.\nAnswer: 2, 1053571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = q - s, -5*q - 10*s = -9*s + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 15*g)*(-g - 3*g + 2*g) + 0*g**2 + 3*g**2 - 2*g**2.\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-267)\/(-15))\/((-16)\/40) and 105\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:02 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*x**5 - x**4 - 110*x**2?\nAnswer: -7080*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:09 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 3*b + 2*b**2 - b - 245*b**3 - 3*b**2 + 250*b**3 - 2*b**4 + 1 to r*b + p*b**4 + s*b**3 + w*b**2 + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.717 * -0.1.\nAnswer: 2.1717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 5) + 5 + (12 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 36. Let c = 0 + -1. Let k be (2\/(-2) - -1)*c. Solve 0 = -4*o + 4*w - k*w - 20, 3*w - b = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1667*o - 1667*o - 16*o**2 - 11*o**3 to the form g*o + u + p*o**2 + k*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:49 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 60 = 105. Let r = f + -56. Let v = 15 - r. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745041592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let m(l) = -5*l. Let j(w) = 3*m(w) + 7*x(w). Let h(t) = 336*t**2 - 9*t + 9. Let y be h(-6). Let b(v) = y + 129*v - 12159. Determine b(j(f)).\nAnswer: -129*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, 43, 14, -35, -98, -169, -242, -311?\n\"Answer: n**3 - 19*n**2 + 47*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-16 - (-37 + 24)) + (2 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328722 is divided by 1100.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49906 + 49784349.3?\nAnswer: 49834255.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u - 2. Let i be j(-4). Suppose -5*h = 5*t - 30, 7*h - 21 = 3*h - 3*t. Solve 0 = 5*a - i*a + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 1. Let x(r) = -r + 9. Let i be x(8). Let b be z(i). Suppose b = -o - 3*o + 12. Solve 0*p = -2*c + 2*p - 2, p = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 57. Suppose 5*u - s = 4*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*z + 7*z + 10, 2*z + 4 = 0. Is -1\/4 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 29*m**3 + 6*m**2 - 63*m + 235. What is the ten thousands digit of n(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 84*h - 27233330 = 37*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 6*z\/5.\nAnswer: z*(z - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - -1*sqrt(190))*-1)*-1)\/((2*sqrt(30))\/sqrt(3) - sqrt(10) - 1*(sqrt(10) + sqrt(30)\/sqrt(3))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is da485 (base 14) in base 2?\nAnswer: 10000000110110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 474.32 + -478. Let s = -1.68 - w. What is the third biggest value in 0.3, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 665 + -697. What is the closest to z in 4, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -1, 207 in decreasing order.\nAnswer: 207, 87, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055044987 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -584 - 467 - 2*b + 196 - 479 as v*b + t and give t.\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -x + 2*k, -2*x + 2*k = -1 - 15. What are the prime factors of ((-8)\/(-6))\/(1\/x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+57653.1\nAnswer: 57648.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 divided by 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**(-28)*(o*(o*o*o\/(o\/(o**(2\/15)*o)*o))\/o)\/o**(-1\/3) assuming o is positive.\nAnswer: o**(-803\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 612 - 354. What is the remainder when 525 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284032.\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27450, -27449, -27448, -27447, -27446, -27445?\nAnswer: -27444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*g - 5437 = 903 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 less than -993.65?\nAnswer: -1266.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 83 - 89 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0165319479 to 6 decimal places.\nAnswer: -0.016532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.3, 0, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-248)\/(-24) - (-30)\/5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - -13115?\nAnswer: 13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2189, -3420, -4631, -5804, -6921, -7964, -8915, -9756?\n\"Answer: 3*y**3 - 8*y**2 - 1228*y - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*3*1 + 1. Suppose 0 = -p*o + 4*o + 102. Suppose 2*x = -3*a + o + 25, 0 = -4*a - 5*x + 81. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21615 - 5?\nAnswer: -21621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-56))\/((-19)\/76)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281463, -281356, -281263, -281190, -281143, -281128, -281151, -281218?\nAnswer: -281335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.4, 2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a**2 + 15*a**2 + 10*a**2)*(34 - 2*a - 34).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 30. Suppose 5*s = -5*d + 3*d + 271, 0 = f*s - 10. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3203 divide 189222009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -54.8. Let c = b - -10. Is 1\/3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11644 and 12.\nAnswer: 34932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2\/(-10 + 0)). Suppose -s*y + 0 + 15 = 0. Suppose 3 = -2*d + 9. Calculate the remainder when y is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g = -263533 - 309819 + 131413. List the prime factors of g.\nAnswer: 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -883 - -881. Let m(g) = -3*g**3 + 7*g**2 + 6*g - 10. Let f be 7\/2*(-3 + 1). Let j(v) = v**3 - 2*v**2 - 2*v + 3. Determine f*j(o) + h*m(o).\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -11*j**2 + 0*j**3 + 1\/210*j**7 + 0*j + 0*j**4 - 1\/60*j**5 + 0 + 0*j**6. Suppose p(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330600407 times -2\nAnswer: -661200814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 1166\nAnswer: 12\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -15 (b) 0.5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 - -119. Factor 27 + 23 - 64 + 3*b**n + 20 - 9*b.\nAnswer: 3*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00140326 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*i**5*m - 2*i**4*m - 138*i**3*m + i**2*m - 1396*i**2 - 1147*m wrt i?\nAnswer: -4740*i**2*m - 48*i*m - 828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 512, 526, 554, 602, 676, 782?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 132? (a) 2\/7 (b) -7 (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 338964*w - 7455272.\nAnswer: -4*(w + 22)*(w + 84719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6600*j**6 - 18*j**2 - 76 wrt j?\nAnswer: -792000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:19 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3912300 and 55\/16422?\nAnswer: 66509100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/3 + 5)\/((-1)\/(-5)). Let l(u) = -u**3 - 5*u**2 + 6. Let p be l(k). Suppose -p*a - 15 = -5*a. Put a, -1\/4, 5 in descending order.\nAnswer: 5, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:10 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4170672.\nAnswer: -1\/1042668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7862 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -26 - (552 - 128 - 444).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 - 7 = -3*z, 4*u = 2*z + 18. Let l be ((3 + 13)\/(-16))\/((-1)\/2). Solve o + 3 + u = 4*h, 5*h = -l*o - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:39 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 4:50 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 470*p - 475 = 0. Calculate p.\nAnswer: -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, l: 4, q: 3}. What is prob of sequence lllq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 29 - 525*l - 2 - 6 - 8.\nAnswer: -525*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - 5)*2\/(-6). Let t(l) = -l**2 - 8*l - 5. Let u be t(-7). Find the third derivative of 45*f**2 - 24*f**2 - s*f**3 - 24*f**u wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94744\/229 or 414?\nAnswer: 94744\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241784315 to the power of 1\/2, to the nearest integer?\nAnswer: 35239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 16*r - 23. Let y be v(9). Let j = y + -72. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 29 = 14*v + 67 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 + 284 + -4 + -70?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201012 - -2001012201?\nAnswer: 2002220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 929b + -2763?\nAnswer: 6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41847204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 57.\nAnswer: -79\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 7*i - 12. Let a be 3 + ((-6)\/2)\/i. Suppose -4*s + 10 = -a*r - 8, -3*r = s + 13. Solve 0 = 5*v + 5*b - 10, 2*b - 8 + s = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 264 - 2313. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-12)*8\/(-6)*-1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from yettue.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12)) + -3 + (sqrt(11) - sqrt(539)) + 2 + 1.\nAnswer: -23*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezxctuce. What is prob of sequence eu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -452. Let m = v + 1251\/4. Which is the second biggest value? (a) 0.4 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/((-1)\/12). Solve -m*w - 4*b = -6, 2*b - 3*b = -2*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -112*o + 343. What is the remainder when t(1) is divided by 122?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 5) in base 8?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12\/(a*a**(-1\/16)*a)*a**(-12)*a\/(a**12*a)*a)**(-15) assuming a is positive.\nAnswer: a**(3105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 265209*k + 6894758 = 0. Calculate k.\nAnswer: -265183, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 97, 201, 355, 583, 909, 1357, 1951?\n\"Answer: 4*a**3 + a**2 + 73*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/4 + 584943*f\/2 + 3509685\/4.\nAnswer: -3*(f - 389965)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54443*n - 54387*n - 9760 + 9759.\nAnswer: 56*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*i + 28 = 0, -i - i = 4. Suppose -5*z - 3*y + 2*y + 35 = 0, -4*z - 2*y + 22 = 0. Suppose m = 5*a - z. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74188 = 5*i + j - 75826, -4*j = i - 29999. Suppose -2*o + 11994 = 3*l - l, -o = -5*l + i. Round l to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -3*v**7\/7 + v**6\/6 + 38*v**5\/5 + 161*v**3\/3 - 3*v - 5427. Find the third derivative of f(r) wrt r.\nAnswer: -360*r**3 + 60*r**2 + 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 6*c**3 + c**3)*(-162*c - 297*c + 157*c).\nAnswer: 604*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (35 - 4) - 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-1927*u - 1288*u - 1077*u)*(2 + 2*u**2 + 0 - 1)*(-5 + 5 + u**2).\nAnswer: -8584*u**5 - 4292*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14549 - -16080. What is the remainder when 1540 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3116464 (base 9) to base 14.\nAnswer: -314945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b + 32*b - 614 - 673 = -13*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 22603227?\nAnswer: -4\/22603227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.23 + 0.84. Let u = 1.4 - 1.51. Let d = g + u. What is the second smallest value in d, -0.2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = m - 5*g, -43 = -3*m - 2*g - 40 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 156 = 5*c. Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*y, 0 = -u - y - 6. Let o be (u\/2 + 11)*-1. List the prime factors of (-93)\/o - (-2)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 7. Let y be g(-5). Let k be -8*(-3)\/18*3. Suppose -k*n + y = -14. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k**2 - 11*k + 82. Let a(m) = -24*m**2 + 16*m - 123. Let w(u) = 5*a(u) + 7*s(u). What is the derivative of w(t) wrt t?\nAnswer: -16*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3900 and -14\/375.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k + 7. Let i(j) = -17*j + 14. Let f(o) = 3*i(o) - 5*s(o). Let b be f(7). Solve b = -z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 26684?\nAnswer: 1\/13342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56963?\nAnswer: 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 257*r + 5133. Calculate q(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 36 = 4*u, -15*l = -10*l - 3*u - 48. Suppose 8*o = 4572 - 796. Calculate the least common multiple of o and l.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**4 + 2*b**3 - 4*b**2 - 4*b. Let l(y) = y**4 + 2*y**3 - 3*y**2 - 5*y. Let o(f) = -4*l(f) + 5*p(f). Factor o(j).\nAnswer: j**2*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 6 + 6 - 16*i in the form g*i + u and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 41. Let z(o) = o - 39. Let t(g) = 3*c(g) - 2*z(g). Let r be t(12). Solve r*f + 2*x = -4, 3*f + 3*x = -f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 786 and 3269064.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 30758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + k**2 + 2*k - 1. Suppose 0 = -13*b - 60*b + 73. Determine i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b6a (base 12) in base 6?\nAnswer: -115414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353305 (base 8) to base 11.\nAnswer: -82601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 904, -53, -9, 5, 0.\nAnswer: -53, -9, 0, 5, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -69?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(187) - (-2*sqrt(187) + sqrt(187) + sqrt(187) - sqrt(187))))\/sqrt(11) - ((sqrt(136)*4 + sqrt(136))*2 - sqrt(136))\/sqrt(8)*6)**2.\nAnswer: 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(637) + sqrt(637) + sqrt(637) + -1 + sqrt(637))*5*4 + -5)**2.\nAnswer: -20387645 + 151200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-d**4 - d**4 + d**4) + d**4 - 2*d + 2*d - 13*d**4 - d**4 - 3*d**4.\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112567 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = -4*t - 7*t + 105 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -43. Let t(x) = 72*x**2. Calculate the remainder when t(m) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72315 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 21. Let p(g) = -34*g**2. Determine p(i(t)).\nAnswer: -34*t**2 - 1428*t - 14994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14237*k**2 + 7120*k**2 - 4 - 3*k + 7118*k**2. Determine a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v + 8 - 10 - 10*v wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 63*n - 7. Let p be r(31). Let b = -6 - -19. Let q be (1\/(-1))\/(b\/(-52)). Calculate the highest common factor of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6225210*f**5 - 781965276*f**4 - 1993261996*f**3 + 893672056*f**2 + 11565990*f + 36900 = 0 for f.\nAnswer: -123, -3, -5\/789, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255763912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q\/((q*q**6)\/q*q*q))\/q*q)*q)**(2\/5)*(q**22*q*q)\/(q**(2\/13)*q))**21 assuming q is positive.\nAnswer: q**(36099\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*l - 19. Suppose -l = -3*f - 2*b + 6, 4*b = 20. Let u(d) = d**3 - 5*d**2 - 6. What is u(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)\/sqrt(2))\/(sqrt(216)*1).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 2. Let r be t(-2). Let d be 3\/(-15)*(-5)\/4. What is the second smallest value in -3, r, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(-4*n + 5*n - 2*n)*(2 + 3 - 4)*(3*n**3 - 3*n**3 - 5*n**3).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.742892 rounded to 3 dps?\nAnswer: -3.743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 + 47972*m**3 + 1388604*m**2 + 9331020*m - 10767600 = 0. What is m?\nAnswer: -11964, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(3\/13)\/x*x))\/((x\/(x\/(((x*(x\/x**(2\/19))\/x)\/x)\/x)))\/x))\/(x\/(x*x*(x*x**(-8))\/x))**(-1\/21))**(14\/13) assuming x is positive.\nAnswer: x**(33278\/9633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/(-36)*-2*(-618)\/714 and -13\/75.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1569, -1598, -1621, -1638, -1649, -1654, -1653?\n\"Answer: 3*w**2 - 38*w - 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.393 and -0.184.\nAnswer: 4.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -20. Suppose -3*u + 630 = 3*m, -2*m = -0*m + w*u - 408. Suppose -3*h - n = -0*n - 309, m = 2*h - 2*n. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 29. Calculate the remainder when x(0) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-20))**(-29)\/((v\/v**30*v)\/v*v*v*v**4) assuming v is positive.\nAnswer: v**(-586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 5\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.183 (b) -2\/9 (c) -0.032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2 + 9*v - 14. Calculate the remainder when q(-8) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-63)\/(-18)*2167040\/224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Let j = 5.0007 - z. Round j to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(13) + 3) - (sqrt(1300) - -1*sqrt(1300))) + (sqrt(91) + (sqrt(91)*-1 - sqrt(91))*5)\/((sqrt(105)\/sqrt(3))\/sqrt(5)).\nAnswer: -30*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, -41, -1, -19\/4, -276, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.8534 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4388 + 131925. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2719605 divided by 906535.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 9. Determine a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = b + r + 709, 0*r + r + 117 = 3*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*4\/(-6))\/(1398\/13980)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppee when four letters picked without replacement from {p: 14, e: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -91613.\nAnswer: -91619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 3, 23 in ascending order.\nAnswer: -17, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:00 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.936803427 - -35888.082813427. Let a = h + -35887. Let w = -0.145 + a. Round w to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 5. Let j be (-2*(-3)\/6)\/(i\/112). Let o(y) = -30*y + j*y - 3 + 3. What is o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and (-8)\/(-28) - 103\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*x - 1628 = 2*x, -2*w = 4*x - 1604. Suppose 35*a = 14*a + 630. What is the greatest common divisor of a and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 16*b**2 - 1. Determine f(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10+2.963\nAnswer: 12.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -122d2 (base 16) to base 5\nAnswer: -4340300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -168*r - 172*r - 6 - 3*r**2 + r**3 + 346*r. Let f be g(2). Suppose -2*c + 517 = 3*y + f*c, -4*y + 2*c + 660 = 0. What are the prime factors of y?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 51*v**2 - 24*v + 47. What is i(26)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*s = -18, 5 = -5*s - 0*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = 4*l, -2*b + 4*l = 3*l - 2. Factor -3\/5*p**4 - 6\/5*p**b + 0 + 0*p + 9\/5*p**3.\nAnswer: -3*p**2*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32710 or 32712?\nAnswer: 32712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 92742108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799432833.\nAnswer: 3, 283, 941617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 8) in base 5?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3 + 65*l**2 + 195*l + 135 = 0.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**3\/21 - 2*j\/7 - 13. Determine q, given that n(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -203, -213, -225?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y - 4. Let a(u) = -u**2 + 4*u + 9. Let q be a(5). What is m(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356076115 to the power of 1\/2, to the nearest integer?\nAnswer: 18870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -6*h - 54. Let g(q) = 16*q**2 + h*q - 2 - 19*q + 0. List the prime factors of g(3).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let j = 551 + -170. Let r(h) = j*h + 378*h - 820*h. Give u(r(z)).\nAnswer: -61*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 3 - 2*h**3 - 4*h**2 + h**3 + 0. Let d be (-4)\/(-42) + (-2210)\/714. Determine f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2577*y + 1032*y - 3608*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*j - 81*j - 275*j + 1 - 1 - 270*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 24 - 29)*(0 - 2 + 1)*(5*z - 2*z + z).\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 7 + -2)*(1 - 0). Suppose 4*s + p - 13 = -s, -4*s + 2 = -2*p. Find the third derivative of u**a - 13*u**3 + 12*u**s + u**2 wrt u.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1624\nAnswer: -1\/1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-262)\/5109 - (-1)\/(-39) - (-81)\/39. Solve 0*i = -4*i - 2*j - 20, -i - v = -j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1541154 and 14234?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 7:51 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -10 (c) 0.067 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 3 - 3 + (3*l**2 - 2*l**2 + l**2)*(0 + 1 - 2) - 4*l + 11*l**2 + 4*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - r + 3 = 2*r, 2*u + 2*r = 0. Solve u*w = -2*g + 6*g - 11, g = 4*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*g**4 - 61*g**3 - 135*g**2 - 55857639 wrt g.\nAnswer: 492*g**3 - 183*g**2 - 270*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38*(0 + 3) + 1. Suppose -477 = -3*h - n, -n - 164 = -h - 3*n. Let k = v + h. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h - 2*h)*(119 + 107 + 8).\nAnswer: -936*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11440 (base 7) in base 5?\nAnswer: 43333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 631, 2532, 5697, 10132, 15843, 22836, 31117?\nAnswer: 40692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + v + 246. Let g(u) = -u. Calculate g(b(k)).\nAnswer: -5*k**2 - k - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12324 is divided by 585?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4 - 8. Find the third derivative of -9*v**3 - 4*v**4 - 4*v**2 + 9*v**s wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 17 = 3*w, -t + 2*w = 2*t - 13. Suppose 0 = 5*p - 14 - 11. Let i(q) = -q**2 + 7*q + 2. Let r be i(7). Solve -r*l - 3*o - p = t, l - o = 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*d + 9 = 4*p, -p - 5*d = 0. Suppose -11*j - 288 = -35*j. What is the remainder when j is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9873 - 4243. Round t to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = t + 4*t - 3*l, -3*l + 11 = t. Let y(r) = -r**3 - 2*r**2 - 2*r. Let p(v) = -3*v**3 - 6*v**2 - 7*v. Give t*p(f) + 14*y(f).\nAnswer: -2*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 7 - 16\/7*l + 4\/21*l**3 + 0*l**2. Suppose m(c) = 0. Calculate c.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**4\/24 - 13*b**3\/6 - b**2. Suppose 798*d + 45 = 795*d. Let f be k(d). Solve 0*j + 5 = p - f*j, 2*j = 3*p + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 10:54 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - g + 2)*(3 + 3 - 5)*(-41203*g**3 + 5677*g**2 - 41204*g**3 + 82404*g**3) as o*g**4 + d + b*g**2 + c*g**3 + t*g and give c.\nAnswer: -5677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (2 - (-1 - -3)). Let a(d) = -4*d - 3. Let i be a(l). Let j(f) = f**2 - 5*f. Determine j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88.713 - 89. Let b = l - -0.186. Let w = b + -1.899. What is the closest to 9 in w, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 113*j**2 + 161*j + 87. Does 71 divide x(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miikkkkkkmkmikkkimi. Give prob of sequence ikkm.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.157 in 1\/5, -2, -655, 2\/9, 3, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.491672l?\nAnswer: 4491.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 50*o + 283. Give z(-9).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 31, 23, 11, -5, -25?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9)\/((42\/(-27))\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*g - 11 = 1, -2*l + 5*g = 3. Suppose -20*v + 4*v = 0. Solve h = -5, h + l = -i - v*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/28 + 580\/(-1883). Let s = 15919\/2152 + n. What is the common denominator of s and (-21063)\/(-7728) - (3 - (-71)\/(-23))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 247*g - 2010. What is r(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 - 2*g + 1. Let c be n(-2). Let k(t) = 4*t - 2*t - c - 3*t. Suppose -2850 = -3334*m - 666 - 25522. What is k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 + v**2 + v**2 + (-44 + 10*v - 4 + 25)*(3*v - 5*v + 4*v) in the form j + b*v**2 + y*v and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 3. Let b(f) = -6*f - 40. Let n be b(3). Let k = 35 - n. What is the remainder when k is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/6, -261266, 1\/2 in descending order.\nAnswer: 1\/2, -29\/6, -261266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/10*5*10. Let l = 7 + 15. Suppose 5*h - h - 3*v = l, -r*v - 22 = -3*h. Solve 4*x + 20 = 0, -h*c - x + 3 = -0*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*p - 226*p + 4*l = 8, 2*p - 4*l + 20 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 2. Let i = f + 1. What is the smallest common multiple of i and 2*8*(-9)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 8*l - 3*o + 24, -4*l + o + 42 = 0. Solve 21*w = l*w + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11575 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 4*w + 7, -4*w - 3*c = 25. Let a(b) = 2*b**2 + 2*b + 6. What is the remainder when 116 is divided by a(w)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/51))\/(s\/((s*s**(-24))\/s)) assuming s is positive.\nAnswer: s**(-1226\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from girgiiggrgr. Give prob of picking 1 g and 1 r.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 244, 374, 504?\n\"Answer: 130*j + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let r = 4 + 2. Let y be -2*(-3)\/r*4. Let z(t) = -6*t**2 + 4*t**2 + y*t**2. Give z(s(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -530495.9346 rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t**(2\/7)*t)\/t*t)*t)\/t*t**(-4)*(t*t**(1\/3)*t)**(2\/145))**(-10) assuming t is positive.\nAnswer: t**(19814\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 966, 1935, 2906, 3879, 4854, 5831?\nAnswer: 6810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n**2 + 7. Let y(r) = -7*r**2 + 3. What is -2*v(m) + 5*y(m)?\nAnswer: -9*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15973.\nAnswer: 15973","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 {k: 1, q: 4, p: 2, x: 2, f: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2789.999996016 + -2790. What is b rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 3 = -5*r. Solve -r = 5*w, -y + 4 = -3*w - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f = 58*f - 6. Let u(w) be the second derivative of -24\/25*w**5 - w - 1\/15*w**f - 64\/75*w**6 + 0 - 2\/5*w**4 + 0*w**2. Factor u(h).\nAnswer: -2*h*(4*h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62387652, -124775304, -187162956?\n\"Answer: -62387652*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007005 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/16353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, 4.7, 15\/8.\nAnswer: -2, -0.2, 15\/8, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 810 - 814. Which is the closest to -2\/3? (a) 0.2 (b) 0.04 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5846 (base 9) to base 10\nAnswer: -4335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veyeyyqyeeyvy. Give prob of sequence yv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -2 (c) 13\/4 (d) 48 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, -2, -489.\nAnswer: -489, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62791 times -526\nAnswer: -33028066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 418854 - 312654 = -39*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -7, 20, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:09 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 174 = 0. Let j = c + 62. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -8*v**7\/21 + v**5\/20 + 11*v**4\/6 + 8*v - 1. Find the third derivative of i(g) wrt g.\nAnswer: -960*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*m - 7, -5*s - 30*m + 27*m + 31 = 0. Let a(v) = -8*v**3 + 10*v**2 - 5*v + 5. Let n(d) = -7*d**3 + 9*d**2 - 4*d + 4. Give s*n(o) - 4*a(o).\nAnswer: -3*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3720207168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*z - 17, -5*z + 4*j = -j - 15. Let o(m) = 2 + 2 + 7*m**2 - 151*m**3 - 8*m + 150*m**3 + 0. What are the prime factors of o(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 4*o - 3*o - 4*o - o + 4*o - o + 4*o - 2*o + 3*o - o - 3*o + (-2 + 1 - 1)*(1 - o - 1) + o + o - o + o - 3*o + o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.008 - -0.033. Let v = -0.225 + d. Which is the closest to -1? (a) -5\/3 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 899.11629 seconds?\nAnswer: 0.249754525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2 (c) 1\/22 (d) 2569\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*i)*(-2*i**3 + 4*i**3 - i**3) - 5*i**4 + i**4 + 0*i**4.\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -28*a + 61. Let w be g(-12). Let p = w + -394. Let i(f) = f**3 - 3*f**2 - 2*f + 3. Let z(n) = -n**3 + 5*n**2 + 3*n - 5. Calculate p*z(r) + 5*i(r).\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19a4 - 10a92?\nAnswer: -a099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7461 - 1121. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.191 - 0.191. Let m = x + -50.000053. Round m to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(209)*-2*4)\/(-2*sqrt(176)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-2\/49)*c*((c*c\/((c*c\/c**(3\/14))\/c))\/c)\/c assuming c is positive.\nAnswer: c**(115\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5439238549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1250, -1344, -1458, -1604, -1794, -2040, -2354?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 - 5 = 0. Suppose -c*w = k + k - 499, 4*w + k = 657. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3561, 3519, 3479, 3441?\n\"Answer: p**2 - 45*p + 3605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, -0.086, 4?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98388 and 108.\nAnswer: 98388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 - 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -217 + -94?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -13\/10577772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 + -113. What are the prime factors of 2\/9 - (-4654)\/v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 1888 = -1807 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 222 + 8822. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/13 and -69\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n - 156\/5*n**5 + 0 - 1152*n**3 - 3*n**2 + 360*n**4 + 37\/30*n**6 - 2\/105*n**7. Factor z(i).\nAnswer: -4*(i - 12)**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-1 - (2 - 4)). Suppose 4*p + 26 = 3*o, -j*p = 17 + 8. Suppose 3*h = o*h + 5. Solve -h*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 1932, 6725, 16170, 31839, 55304, 88137?\nAnswer: 131910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 968*l**2\/13 + 1848*l\/13 + 882\/13 = 0. Calculate l.\nAnswer: -21\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 10*h**2 - 21*h + 60. Let f be j(12). Suppose f = 4*y + 64. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 616 = 2*s, 630*s = 633*s + 3*h - 912. Is s equal to 301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 11*a + 91 + 10*a.\nAnswer: -a + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 13*b = 36. Solve -b*h + 2*s = -4, 0*s - s = -5*h - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 39124*t - 469213. Calculate a(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - -7)*(-1 + 44\/40). Solve -7*d - 5*k = -4*d - 5, w = k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 226404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/12 - 39*v**2\/4 + 113*v\/3.\nAnswer: v*(v - 113)*(v - 4)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1773.3 - -1773. Which is the biggest value? (a) -183 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507\/2146591 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 343?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 45 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.1 - -28.5. Which is the second smallest value? (a) 2.1 (b) h (c) 2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 8. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 1020, 1566, 2136?\nAnswer: 2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 15*h - 9*h. Let k = 0.14 + 0.36. What is the nearest to k in 3, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-1*2 - sqrt(52))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 6642*h**2 - 93027*h + 265820.\nAnswer: (h - 10)*(h - 4)*(h + 26582)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36961807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18333*o**6 + 2*o**4 - 13*o**2 + 4433 wrt o?\nAnswer: -2199960*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -29.97. Let f = -149333 + 149331.97161. Let i = f + t. What is i rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7772 and 441396?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*v + 18, -3*l + 5*v + 13 = 4*v. Determine y, given that -9\/2*y**3 + 0*y - 3\/2*y**5 - 9\/2*y**l + 0 - 3\/2*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 2*b - 172, 0 = -b - 4. Let j = 86 + a. Let z = 126 + -112. Calculate the remainder when j is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 35\/3. Let h = -129 - -905\/7. Is h != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 322 = 342 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 25 = 2*a. Solve 0 = -a*u + 1 + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 6)*(-40)\/(-14). Let z = 22 - t. Solve 0 = -z*o - 2*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-11382\nAnswer: 9105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -61. Let p(t) = -t + 2. Let l(g) = 5*g - 11. Let w(m) = v*l(m) + 11*p(m). Let d(z) = 3*z. What is -d(b) - 5*w(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*w - 16 = -2*m, -6 = -2*m + 3*w. Suppose -4*u - m = 2. Which is the third smallest value? (a) 0 (b) u (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -43. Suppose 6*q - t = 5*q + 29, -4*t + 101 = v*q. What is the remainder when 59 is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - 813\/(-3) - -7.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 107*m**2 - 8*m + 22. Let t = 111 - 119. Let s be g(t). Suppose -4*q = 2330 - s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-17)*f)*f*f**(-22)*(f**(-13))**(4\/3))**(-29) assuming f is positive.\nAnswer: f**(4814\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from kkekekeekkk.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(6 - 4) + 136?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, 2, 1970, -52, 13 in increasing order.\nAnswer: -52, -5, -4, -3, 2, 13, 1970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {m: 2, p: 2, d: 3, s: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - (-8 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/786 and 735\/2100 - 1*(1 + -5)?\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17212489.\nAnswer: 7, 2458927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*x**3 + 6*x**5 - 55*x - x**5 - 25 - 5 + 30*x**4 = 0. What is x?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 7\/24193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 4*f - 6. Let o be i(-6). Suppose -4 = -o*u + 8. Which is the nearest to 1? (a) -2\/13 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232666719.\nAnswer: 17, 149, 486643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 9. Suppose -3*r = -5*u + r + q, -5*u - r = -19. Put -2, -5, u in decreasing order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367195 is divided by 300.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - -302. Suppose -4*g - g + w = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 377\/104 - (-50)\/(-80). What is the second smallest value in r, 0, -169, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1557*t**2 + 94*t - 94*t + 381*t**2.\nAnswer: -1176*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 627258?\nAnswer: -8\/313629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(12\/40 + 0). Let d = -6 + 2. Let v be 1*4 + (16 - 20). Which is the nearest to v? (a) y (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59335 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 8*f + 9. Let w be c(7). Let v be -1*1\/w*-10. Suppose 3 = -3*y + 2*m - 1, 4*m = v*y + 10. Solve 2*q - 5*o - 10 = -y, 3*q - 3*o - 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -3. Let r be (t - (-10)\/3)*6. Suppose -2*n + r = -0*n. Solve -2*k + 8 = -n*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 129*s - 227. Let n be o(3). Calculate the greatest common factor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 6252\nAnswer: 16\/1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 3)*(-113*f**2 + 231 - 231) to z + u*f + d*f**2 and give d.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 3*r)*(-1 + 4 - 2)*(-1 - 3 + 3).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (98 - 29) + -90.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2820*u - 936 wrt u.\nAnswer: -2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 - -164. Solve k = -4*m + 2*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/3 - 2057*j**2\/3 - 2048*j + 12324 = 0.\nAnswer: -2054, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01333053466 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 19 = -7. Let b = -1 - f. What is the closest to -0.3 in 2\/5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*i**3*y**3 + c*i**3 + 37*c*i**2*y**2 + c*i**2*y - 4*c*i*y**3 - 8133*i**3*y**3 + 3*y**3 wrt i.\nAnswer: 6*c*y**3 + 6*c - 48798*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-4))\/((-25)\/((-53650)\/444))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/36)\/((-32)\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5572 minus 28990?\nAnswer: -28990.5572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - 1) + 39 + -47 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10427566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: (-19 - -12) + (4 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -88*i**2 - 5*i - 257. Let l(r) = -10*r**2 + 21*r**2 + 12*r**2 + 6*r**2 + 85 + 2*r. Let v(h) = 8*l(h) + 3*p(h). Differentiate v(s) wrt s.\nAnswer: -64*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k - 122*k - 10459 - 5571 + 1588 = 0 for k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a - 181 - 371 = -10*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*r - 86, r + 0*r = -w + 14. Are w and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**4 + 20*y**3 - 13424*y**2 - 271936*y - 338688 = 0 for y.\nAnswer: -28, -4\/3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/2 - (-5398)\/4*(-14 - -60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 7*t + 12. Let a be h(7). Suppose j + r = 3*j - a, 5*r = -3*j + 124. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 99.2?\nAnswer: -79.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100222102 - -100?\nAnswer: 100222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k + 6. Let b(w) = -6*w + 2. Calculate -11*b(n) + 4*f(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 31 + 46 = 3*v, 5*y + 34 = 7*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345 + 820. What is the remainder when a is divided by 92?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, z: 4}. Give prob of sequence zzzp.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a year in months?\nAnswer: 86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69952654 and 41148620?\nAnswer: 699526540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3819 is divided by 3808?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51*4\/(-18)*(22 - (-987)\/(-42))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -543 (b) -0.1 (c) -4\/3 (d) -0.7 (e) 2\/23 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37452907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15595400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -12*y**2 + 0 + 40*y + 8\/3*y**3 - 1\/6*y**4. Let j(v) = 0. What is v?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 3885761.\nAnswer: 3885756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 9, w: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/46172?\nAnswer: 9\/46172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:45 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 25 - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.652339 centuries?\nAnswer: 0.5652339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 5, -5, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 65697?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/7 - 39*j**2\/7 - 36*j\/7.\nAnswer: 3*j*(j - 4)*(j + 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 15*l**2 - 47*l + 23. What is k(-7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/2 + (-3)\/6. Let y = 10 - x. Let c(b) = b**3 - 1. Let h(q) = -77*q + 2*q**2 - 1 + 3 + 76*q + 0*q**3 - 4*q**3. Calculate y*c(p) - h(p).\nAnswer: 2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180) + 2 + sqrt(180) + 3 + sqrt(180)*2*3)**2.\nAnswer: 384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 164\/5, -2\/13, 1\/4, 1\/2411?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2566 divide 9066077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5664256, -5664197, -5664138?\n\"Answer: 59*o - 5664315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggjg when four letters picked without replacement from jjjjjjgjjjjjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 d when four letters picked without replacement from {f: 5, d: 4, x: 3, h: 1, g: 1}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/198 and 103\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 29*b + 124. Let r be h(-24). Suppose -s = 4*a + 4 + 10, 4*s - a - 29 = 0. Solve s = r*j - 2*k, 0 = -j + 5*k - k - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(p + 5*p - 3*p)*(0*p + 0*p + 3*p**4).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 5*q**3 - 5*q**5 + (q - q - 4*q)*(3*q**4 + 0*q**4 - 4*q**4 + (-2*q - 2*q**2 + 2*q)*(q**2 + 3*q**2 - 2*q**2)).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 19 (b) -2\/3 (c) -0.3 (d) 138\/7 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + (1 - -4) - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 4*x = -22, 0 = 4*d + 5*x + 7. Let h be 3*(4\/3 - 2). Sort 3, -1, h, d.\nAnswer: h, -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 23 = -5*u, 3*u + 0*u - 17 = 4*q. Let k = -49\/4 + 449\/36. Which is the nearest to k? (a) q (b) -1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + o + 46 = 2*b, -b - o + 46 = 0. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + -5 + 2\/(-1). Find the common denominator of 8\/(-20) + (-136)\/60 and n\/12 + (-76)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -22\/21, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let q = -18.5 - -18.5. Let h be (-3)\/4 - (-2 + 1). What is the closest to h in 4, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 110 = -9*t + 24*t. Solve -f = -5*a + 33 - 28, 4*f = 5*a + t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:54 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2247 divided by 2?\nAnswer: -2247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6347 + 6875. Calculate the greatest common divisor of t and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 13*l**6\/12 + 5*l**4\/8 + 375*l**3\/2 - 922*l**2 - 2. What is the first derivative of p(t) wrt t?\nAnswer: 390*t**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + (61 - (-24 - -68)) + -7 + -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 4*w - 3. Let k be n(2). Let p = k - -7. Factor 6*z - 4*z - z**p - 2*z**3 + 1 + 0*z**4.\nAnswer: -(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005082257 to five decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 - 19*i + 13. Let x be d(-10). Solve x*c = -9 - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -799, 0, -1656, -1, 5 in descending order.\nAnswer: 5, 0, -1, -799, -1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1584\/264)\/(2\/(1*-2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 148933618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 869, 1\/4, 0?\nAnswer: 869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490062999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)\/(n*n\/(n\/n**(14\/5))))\/(n**(3\/22)\/(n\/n**(-12))) assuming n is positive.\nAnswer: n**(-213\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5476591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468230047 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54306203 + -5?\nAnswer: 54306187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51777550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**2*t**2*u**2 - l**2 + 14*l*t**2*u**3 + l*t - t*u**2 + 262*u**3 wrt t.\nAnswer: 16*l**2*u**2 + 28*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*h + 7, 5*s + 1 = 2*h + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 115071\nAnswer: -2\/10461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Suppose -28*a = -30*a - j + 5, -a + 25 = -4*j. Let x(u) = -7*u. Calculate a*i(y) + x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*u**5 - 2*u**4 - 955*u**2 + 2936*u + 14.\nAnswer: 2440*u**3 - 24*u**2 - 1910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227591 is divided by 227569?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42668199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 14 = -29. Suppose 2*c - 166 = -2*r - m*r, 0 = -3*r + 5*c + 81. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 567 + 11118. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30063 (base 7) in base 12?\nAnswer: -4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/735 + i**6\/35 - 9*i**5\/70 + 3*i**2 - 25*i. Solve s(q) = 0 for q.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t - 274 = -20*t - 10. Suppose -3*z + 1 = -2. What is the second smallest value in 0.7, z, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v - 4 + 4. Let f(s) be the second derivative of -s**3\/3 + 101*s + 14. Give f(g(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5, -17 in ascending order.\nAnswer: -17, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56.09 + 56. What is the fourth biggest value in -3\/5, 1, 3\/8, m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 713*g**2 + 6428*g + 7. What is n(-9)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233.3 - -233. What is the fourth smallest value in -3, -40, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i**2 + 2*i + 4. Let c(k) = -101*k**2 + 15*k + 30. Let w(o) = -2*c(o) + 15*p(o). Let v(a) = 87*a**2. Calculate w(v(m)).\nAnswer: -174087*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76102079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16164098*20.\nAnswer: -323281960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.6 (c) -9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63832228 + 0.2.\nAnswer: -63832227.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 7*t + 5. Let o be x(6). Let y be 2\/(o - -3) - 1. Which is greater: 2\/9 or y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -222?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 510679 smaller than -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -76*w - 5158. Let j be h(-68). Solve 3*s = 4*y + s - j, 5*y - s - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 6*h - 1. Let t be g(-5). Suppose s + 0*s - t = 0. Differentiate 3 + 0*f**s - 4 - f**4 with respect to f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - ((-258)\/24 - 1)) + -8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 487, 1685, 4033, 7915?\nAnswer: 13715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372174 + -203207153\/546. Find the common denominator of 53\/33 and n.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 26. Calculate the remainder when 256 is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -454 or -5002\/11?\nAnswer: -5002\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56985439 to the power of 1\/2, to the nearest integer?\nAnswer: 7549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 243*o - 4. Let v be f(4). Suppose -4*y - 1592 = -5*s, 33*s + 4*y - v = 30*s. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-35))\/(1695\/(-43505))\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/5, 1\/6, -6\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 484 - 285. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w = -3, 5*t + 5*w + 0*w - 30 = 0. Let y = -2 + 2. Let x = 5 - y. Which is the closest to 1? (a) x (b) 5\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 14 + 2. Let p be (-150)\/w*2\/3. What is the remainder when 4 is divided by (-10)\/p*(-4 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.526+-432\nAnswer: -432.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 - z - 1. Let s be m(-1). Let b(q) = -q**3 - 7*q**2 - 5*q - 4. Let j be b(s). Let f be (500\/2)\/((-5)\/j). Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10445462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 2:05 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-12))\/(4\/(-24))*8. Calculate the greatest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/3*(-5 + 4). Solve x = -i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 7 = -5*x. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 12. Let l(z) = -z + 6. Give 2*b(o) - 5*l(o).\nAnswer: o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98829 is divided by 49408.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let g(f) = -60*f**2 + 3*f + 5. Calculate g(y(i)).\nAnswer: -240*i**4 - 6*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(16) - sqrt(16))\/sqrt(8)*-1.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(90\/(-1350)). Put 2, -5, 1\/18, d in ascending order.\nAnswer: -5, 1\/18, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252248\/7 + 36036. Factor t*j + 1\/7*j**2 + 4\/7.\nAnswer: (j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/5 - 188*g**2\/5 + 1546*g\/5 - 272 = 0.\nAnswer: 1, 8, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11768*n + 35296. Calculate q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12040 - -1?\nAnswer: 12041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19*x**2. Let m(u) = 2*u. Calculate m(z(g)).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -16. Let j(d) = d**2 - 16*d - 8. Let x be j(16). What are the prime factors of (-398)\/x + (-2)\/l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 27*h**2 - 69*h + 116. Let q be t(-24). Let r(v) = v + 9. Let s be r(-7). Let a(x) = 22*x + 1. Let k be a(s). Is q greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -3*(-2)\/(-9). Let g = -1 + -2. Suppose 0 = -5*o + 35, -18 = 34*v - 33*v - 2*o. What is the fourth biggest value in f, -0.5, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2166*y**3 - 44*y**2 + 5*y - 26. Let x be c(-22). What is x rounded to the nearest one hundred thousand?\nAnswer: -23100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -16 (c) 1\/101 (d) 1 (e) -6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9123670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4419320, -4419332, -4419344, -4419356?\nAnswer: -4419368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -549 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -104, -1, 19 in increasing order.\nAnswer: -104, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**3 + 792*a**2 - 10*a - 1577. Determine u(-99).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108 - 28*g - 210 + 102 to r + z*g and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1402 = 59*h - 947 + 1315 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) + 68\/18. Let u(y) = y**3 + 9*y**2 + 9*y + 10. Let j be u(-8). What is the second derivative of -7*b + j*b + 0 + 0 + 2*b**n wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -412997690900156 and -4.\nAnswer: -412997690900160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 25*w**2 + 110*w - 176. Let y be m(-29). Which is the second smallest value? (a) -8 (b) 9 (c) 2\/13 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28424*c**3 - 6*c**2*u*y + 4*c*u*y - 103*u - 16592*y wrt c?\nAnswer: 85272*c**2 - 12*c*u*y + 4*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -829, -1359, -2205, -3367, -4845, -6639, -8749?\n\"Answer: -158*i**2 - 56*i - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*m**3 - 80*m**3 - 1912 - 143*m**3 - 421*m**3 wrt m?\nAnswer: -1803*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*m - 13601, -159*m + 156*m + i = -13604. What are the prime factors of m?\nAnswer: 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -15705 (c) -3\/2 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l + 4. Let t be m(0). Suppose 0 = 5*p - t - 6, 4*j = 2*p + 116. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i**2 + 130*i - 346. Determine s(12).\nAnswer: -946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-53)\/3)*-9 + (-568)\/56.\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(140\/(-8)) + 2263\/5. Let h = -213 + d. Is h a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1702, 1704, 1708, 1714, 1722?\n\"Answer: z**2 - z + 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19455 and 1465610?\nAnswer: 4396830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w - 7, -10 = -4*u - 2*w. Solve c - 14 = 5*p, u = -2*p - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 5 (c) 1\/2 (d) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16721 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216)*-1 + -4)) + 0)*-2.\nAnswer: -32*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0649*21628\nAnswer: -1403.6572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*r**3 - 32*r + 32*r + (-1 + 1 - r)*(-48*r**2 - 164 + 164).\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2732247 + 14?\nAnswer: -2732233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z - 2079. Suppose -742 = -5*x + z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 1.8. What is the third smallest value in -0.4, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001042.\nAnswer: 2, 3, 19, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/6 (b) 13385 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -261.35 + 258. Let l = 2.95 + i. Which is the third biggest value? (a) l (b) 31 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 7:16 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150425 and 825.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*a + 2*p - 21, -3*a + p = -63. Suppose -d - 4*d = -15, a = 4*i + 3*d. Solve -i*x + 3 = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5295540 is divided by 79.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86071191 - -86071573.00217. Let i = -389.75 + 7.75. Let v = i + k. Round v to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 422123?\nAnswer: 422152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432898390 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001066 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-8)*(-24)\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/2 + 1172*b + 397977\/2 = 0.\nAnswer: -159, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257292 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 10. Suppose -p - i + 5 = 0. Suppose f - 6 = p*l + 5, -5*f - 5*l = 5. Solve -n - 5 + f = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 234 = -20*x + 644. Sort -3, 2, x, 18 in decreasing order.\nAnswer: 18, x, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1432*f - 10925. What is s(-8)?\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*q**3 - 3*q + q + 2*q.\nAnswer: -181*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 83. Suppose -2*t = 2*t + 3*x - r, -2*x - 14 = -2*t. Let p(i) = -t + 6*i + 1 - 4*i - 3. Calculate p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 34*h. Let b(n) = -817*n. Determine -4*b(d) - 95*s(d).\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100011111 - 10001101?\nAnswer: -110011110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 5)*-1*2. Let s(q) = -3*q - 4 + 5*q + 0 - p. What are the prime factors of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 43 = -0*m. Let v = -26 + m. Suppose -k**4 - 17*k**3 + k**2 + v*k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4 - 3. Let h be (m\/3)\/(-2 - -1). Let j = 4 - 0. What is the closest to h in -5\/4, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7763987.\nAnswer: 7, 11, 59, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144075 is divided by 20227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.3. Let b = -18 - -18. Suppose -3*a = -2*a - 2. Sort s, a, b.\nAnswer: s, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 2*m**4 + m + (-4*m**3 + m**3 + 5*m**3)*(1 - 1 - 2*m) - 3*m**4 + 13*m**2 - 8*m**2 + m**2.\nAnswer: -9*m**4 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7 + 0)*(0*c + 5*c - 73*c)*(3 - 5*c - c + 4*c).\nAnswer: -272*c**2 + 408*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.1 + -7.1. Sort -4, a, -1.4 in descending order.\nAnswer: a, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/40 + (-5)\/25. Suppose -9*g + 6*g = -15. What is y in -u - 1\/4*y**g - 1\/4*y - 1\/4*y**4 + 1\/2*y**3 + 1\/2*y**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 1.097?\nAnswer: -1.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211000 + 22331000?\nAnswer: 23202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 402 + 11. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315\/(-75)*(4\/(-14))\/(267\/623)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -39*c + 1. Let a be p(-1). Suppose a = h - 3*h. What is the units digit of 5\/h - 122\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 20*c**2 + 16*c - 4. Suppose -8*u + 76 = -12*u. What is the units digit of m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-10)*55*(-29)\/319?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 594 + -594. Solve 3*g = 4*t - 2, a = -t + 4*t - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swswwwws. What is prob of sequence wsw?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 150*f - 391. Calculate q(148).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*d + 5*g - 34, -g = -5*d + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5417 + 5475. Solve 12 = 54*v - g*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + 38*f - 13. Let u be h(-13). Let j(m) be the second derivative of m + u*m**3 + 0 + 1\/54*m**4 + 0*m**2. Factor j(c).\nAnswer: 2*c**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -594*u**2 - u - 322.\nAnswer: -1188*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 318447144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 444, 5, 15, -477 in decreasing order.\nAnswer: 444, 15, 5, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 0, -1\/221, -4217\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293837890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 2 - 1 + 3*h**2 + 5*h**2 - 7*h. Give p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 168459025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(((-16)\/(-24))\/2). Solve -1 = x*n + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.876*-1.\nAnswer: -3.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 5, 10\/921491.\nAnswer: 10\/921491, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.988248 meters to micrometers.\nAnswer: 988248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*k - 18, -2*k - a = 3*a - 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 3*h**2 + 4*h**2)*((-2*h + 6*h - 3*h)*(11 - 18 + 9) + 2*h - 2*h + h - 2 - 54*h + 57*h - 1).\nAnswer: -6*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*c - 36 = -219*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541409 is divided by 1097.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/8 + 3063*u**3\/8 + 16647*u**2\/4 - 4545*u = 0.\nAnswer: -1010, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + v + 6, 4*v - 4 = -3*q. Suppose -2*j - 96 = -q*j. Suppose -3*p - j = -7*p. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:02 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 680*b**3 + 17066*b**2\/5 - 27184*b\/5 - 32736 = 0.\nAnswer: -4, 3, 1705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97609 divided by 28?\nAnswer: 97609\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 4279.069137?\nAnswer: -4271.069137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 1890?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {f: 1, x: 4, y: 8, t: 5}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5*z + 1)*(5 - 4 + 7) in the form n + w*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2706.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655442?\nAnswer: 2, 3, 91969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 21. Let g be 19\/(14\/(-16) + 1). Suppose -g + 2 = 5*u + 4*p, 63 = -2*u - p. Do u and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -1.1. Let o = 60 - 65. Which is greater: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 21591504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*w + 5231, 3*p + 2*p = 5. Suppose -5*a - s + 2595 = 0, 5*s - w = -4*a - a. Suppose 0*i - a = -2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + k + 5 = -24, -b + 16*k = -3*b + 12*k - 36 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*n**3 + 39\/2*n + 19*n**2 + 0.\nAnswer: -n*(n - 39)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/4)\/(-16) + 41783\/(-28). Let l = p - -2415. List the prime factors of l.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9428505 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -489*7012.9\nAnswer: -3429308.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -711 - -200?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15185 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/642 and 99\/428.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 8*w**2 + 3*w - 8. Calculate c(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.1243805*4\nAnswer: -16.497522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 13) to base 11\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 2*t**5 + 2*t**5 - 3*t**4 + 3*t**4 + t**5 + (-6*t**3 - 12 + 12)*(-2*t**2 + 0*t**2 + 5*t**2).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51011 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1538, 2, -105, -2, 5.\nAnswer: -1538, -105, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*k + 1273*k - 622*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 - 1019 = -16*s. Solve s*p + 1 + 14 = -4*x, 4*p + 20 = x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*q = -4*q. Let w(z) = -z**3 - z**2 + 2*z + 21. Let k be w(q). Solve 4*l - k + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4722 - 146?\nAnswer: -4868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 6, -44, -130, -252, -410, -604?\n\"Answer: -18*h**2 + 40*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 2*j + 24, 47*d - 3*j = 44*d - 27 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1620303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 2. Let b be x(-5). Find the common denominator of 1\/b*234\/4 and 29\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + o**2 - 1 + (-5*o**2 + 3*o**2 + o**2)*(-3 - 1 + 3) + (4*o - 5*o + 3*o)*(0*o - 2*o + o) + 2 + o - 2 + o**2.\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-106)\/((-2 + -4)\/3). Let n = -28 + x. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-10))\/(15\/(-375)). Let r = p + 66. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*w**2 + 319*w**2 - 17*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/2 - 885*u**2\/2 + 495*u + 8900.\nAnswer: -5*(u - 5)*(u + 4)*(u + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 4 - 1 - 2 + 2*c. Let t(h) be the first derivative of -2*h**3\/3 - h**2 - h - 41813. Determine -5*t(q) - 6*w(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10341*t + 10340*t + 8548. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/11)*m\/m**(12\/11))\/(m**(-23)*m**(8\/7)) assuming m is positive.\nAnswer: m**(1648\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -3*g**2 + 0*g**3 + 0 - 5\/12*g**4 + 2\/15*g**5 + 0*g. Find the second derivative of a(w) wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqrqqqqqeuuuqlqqe. What is prob of picking 1 u and 1 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 834*h**2 - 2160*h**2 + 1093*h**2 - 3*h + (h - 4 + 4)*(h - h - h).\nAnswer: -234*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 587328 and 9568.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/42 - (5 + -12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*x**3 + 53696*x**2 + 161142*x\/5 + 24174\/5.\nAnswer: -2*(x - 1343)*(10*x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcn when three letters picked without replacement from {g: 1, h: 3, c: 1, q: 3, v: 1, n: 5}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 + 49*r.\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2069880 and 67\/2328615?\nAnswer: 18628920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2109 by 3.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 2*w - 3. Let b be k(2). Let o be (-3363)\/15 - 1\/(-5). Calculate the least common multiple of (-2)\/b - o\/10 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 52. Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1207 - -4798. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 371879.4 years?\nAnswer: 3718.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 3, -65.\nAnswer: -65, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*93\/(-62).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -668, -942, -1218, -1496?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:16 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 18. Solve 22*u**4 + 35*u**4 - 8*u**5 - d*u + 45*u**3 + 3*u**2 + 29*u**5 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 107*q**2 - q + 107.\nAnswer: (q - 107)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 3*o**2 - 6250*o - 86326. Determine m(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 87634715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 plus -11.5?\nAnswer: -11.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:43 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.135308nm in meters?\nAnswer: 0.000000007135308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*m + 3*c, -5*m - 5*c = -8 - 2. Determine q so that q**2 - 1\/4*q + m = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2268 and 103\/182952.\nAnswer: 548856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.012677*-65\nAnswer: 0.824005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 2. Let f be 140\/30 - (-4)\/(-6). What is the nearest to -0.1 in i, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/16184 and -107\/5236.\nAnswer: 178024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/14 - (-2)\/14. Let f(y) = -1 + y + 2 - q. Let k(b) be the second derivative of -b**3\/2 + 20*b. What is f(k(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = v + 3*s - 26, -4*v = 4*s - 116. Let m be -2 - (-1)\/(3*2\/v). Let z = 3.5 + 0.5. What is the fourth smallest value in 1, z, m, -0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*k**4*v - 12106*k**4 + 3*k**2*v - 1529364*v wrt k.\nAnswer: 672*k*v - 290544*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12\/x*x**3 assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -21. Let u = f + 24. Which is the third biggest value? (a) -0.3 (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/4 + 0 + 3. Is 31 a factor of (-37)\/((-1)\/(l\/3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 11. Let j = 1.0000006 - q. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 9\/4*t**3 - 19\/8*t**2 + 0*t + 1\/8*t**4 = 0. Calculate t.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u + 9 = 3*w, -2*w - 2*u = -18. Let g(z) = -z**2 - z - 4. Let t be g(0). Let x be (t\/w)\/((-8)\/(-6)). Is 0 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 325599?\nAnswer: -325602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58008, -58006, -57992, -57960, -57904, -57818, -57696, -57532?\nAnswer: -57320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 22660?\nAnswer: 22665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 3*r + 2*r**2 + 45.\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 - 39*g**3 - 40*g**2 + 1598*g wrt g.\nAnswer: -24*g**2 - 234*g - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -2, 7 in increasing order.\nAnswer: -7, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*y - 603 = 448*y. What is the lowest common multiple of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1 (b) -12\/13 (c) 5 (d) -0.2 (e) -0.02 (f) -0.494\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/747 and -12\/415.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 22*n - 216. Give x(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*w - 289836 + 294442 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/8410117?\nAnswer: -2\/8410117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3076 in 5, 0.09, 5\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or -8\/19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2424 * 15.\nAnswer: 3.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174243 and 391143.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7333970239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**3\/6 + k**2\/2 + k. Let w(d) = 3. Let z(t) = 4*t + 25. Suppose -42 = 4*u + 3*u. Let l be z(u). Determine l*s(a) - w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-520)\/(-91))\/((-2)\/(-42)). Suppose 108*f + 360 = k*f. Calculate the lowest common multiple of f and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r + 0*r**2 - 6 + 1\/3*r**3. Let v(d) = d + 9 - 25 - 12. What is l(v(o))?\nAnswer: o**2 - 56*o + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4911930 - 4911930 - 13*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from gggghgghg?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/327554 and 71\/245254.\nAnswer: 48805546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -4.7 (c) 0.3 (d) 2 (e) -31 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 - 3*p + 3. List the prime factors of q(-8).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747*s**2 + 2 - 641*s**2 - 5.\nAnswer: 106*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 1025?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j - 34. Let s(r) = 254*r**2 + 5*r - 25. Give s(f(z)).\nAnswer: 20574*z**2 - 155403*z + 293429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/8 + 23*a**3\/6 + 11*a**2. List the prime factors of z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -36, -73, -124, -189, -268?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-48) + 2\/3. Let x be -4 + (762 - a) + -1. Suppose y = -5*y + x. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(26))\/(sqrt(2) + -5*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100000010?\nAnswer: -100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u**2. Let d(p) = -450*p. Determine j(d(w)).\nAnswer: -2632500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -10. Let u = q - 3. Suppose -t = d - 5, 3*d + 4*t - u = 12. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5*o**2 + 35*a**5*o - 2*a**2*o**2 - 1303*a**2 + o**2 wrt a.\nAnswer: 120*a**2*o**2 + 2100*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 3*w. Suppose -k = w*k. Suppose -2*p = 3*i + 1, -p = p + i - 1. Is k < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4752 rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + 21*p**2 - 9*p + 9. Let y = 861 - 866. Let m(x) = 2*x**3 - 11*x**2 + 5*x - 5. Let b(z) = y*m(z) - 3*u(z). Give b(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - f. Let p = -14 + 13. Let o be b(p). Solve -1 = -2*m - o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i - 1. Let d(w) = -2*w**2 - 4*w + 4. Let r be d(-4). Let n = -20 - r. What are the prime factors of h(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/20 - 1\/(-5). Let h = 253 + -256. Sort -5, h, p, -1 in descending order.\nAnswer: p, -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168925, 672254, 1511143, 2685598, 4195625?\nAnswer: 6041230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.6502471 hours?\nAnswer: 0.1104269625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/122 and -33\/10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -387 - -386. Let v(b) = -5*b**3 - 2*b - 2. Let m(p) = p**3 - p - 1. Give i*v(x) + 2*m(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -7*s**5\/5 - 25*s**2 + s - 5. Let d(n) = 10*n**2. Calculate d(t(w)).\nAnswer: 70560*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 3*k + 131 - 254 + 3*k**2 + 127. Let h(p) = 13*p + 7. Calculate -3*h(r) + 7*y(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7632 - 190798\/25. Which is the nearest to 0? (a) w (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -137869*p. Let a(y) = 63*y**2 + 1. Calculate a(h(s)).\nAnswer: 1197495253143*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1240 (base 10) to base 12\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*l + 126, -2*p - 3*l = -0*l + 59. Let f = 45 + p. Suppose 104 = 5*u + 19. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (304\/24 - 12)\/(-6). Which is the closest to 390? (a) 5 (b) -2\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*r + 10*r - 23 = 0, -5*r + 17 = -4*s. Solve 1 + 2 = 2*j - t, s*j = -4*t - 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 42. What is the greatest common divisor of g and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21700 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = 1. Let k(p) = -2*p**3 + 2*p**2 - 3. Let y(o) = 4*o**3 - 5*o**2 + 7. Let v be (1\/3)\/((-3)\/(-18)). Let m(t) = v*y(t) + 5*k(t). Determine m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19*(-426)\/(-81) + 52\/(-702). Sort f, -5, 1 in decreasing order.\nAnswer: 1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o - 9*o + 1 + 3*o. Let s(j) = j**2 + 5*j - 8. Let n be s(-6). Determine a(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 26*b**2 + 32*b - 181. Let t be v(25). Let y(m) = -11*m + 14. Calculate y(t).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 135, 16, -3, 0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -233508 + 233508 + 87*a - 5 + 5 - 3*a + (-1 + 3 + 0)*(2*a - 2*a + a) to the form r*a + w and give r.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u - 10 = 0. Let n(o) = o**3 + 3*o**2 + 2*o + 2. Let j be n(u). Suppose 4*g + 36 = p + 3*p, j*p + 5*g = 39. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -17*l**2 + 219*l - 150. Calculate z(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1.289 (b) 1 (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 3*j = 475. Calculate the remainder when j is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*n**2*s**2 - 5*a**2*n**2 + a**2*n*s + 751*a**2*s**2 + 21*a**2*s - 2*a*s - 2*n + 104*s**2 wrt s?\nAnswer: 4*a**2*n**2 + 1502*a**2 + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 75*t**3 - 2*t**2 + 45*t - 277. List the prime factors of v(5).\nAnswer: 3, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 40*u**2 + 59*u + 67. List the prime factors of r(40).\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 60, 6, 6885.\nAnswer: -4, 3, 6, 60, 6885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 31 + 29 = 0. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.3 - -4.56. Round d to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 192062*d**3 + 890*d - 890. Let v(m) = 1940*m**3 + 9*m - 9. Determine 9*c(x) - 890*v(x).\nAnswer: 1958*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -21, -60, -135, -258, -441, -696?\n\"Answer: -2*c**3 - c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 48192*i**2.\nAnswer: 4*i**2*(i + 12048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -448, -1000, -1774, -2770, -3988, -5428?\nAnswer: -7090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -410, -408, -406, -404, -402?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/11, -9, 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:01 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - (6 - 8440\/56). Let s = 149 - d. Solve 16 = s*g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*c = 33 + 595, -4*d + 637 = c. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 2. Let q be z(-2). Solve -o - 9 = -q*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0419 + 0.2592. Let w = -0.227 + y. What is w rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -3*u + 2*l, 0 = 4*u + 5*l - 81 - 182. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*f + 8*f, 0 = -5*h - 4*f + 2188. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4420 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-18)\/(-10) + -2). Suppose 0 = -3*m - 1 - 2, 0 = g*s + m - 79. Let c be (625*s)\/(1\/9). Round c to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37.09 + -0.09. Let y = b - 25. Put -0.5, y, -3\/5 in increasing order.\nAnswer: -3\/5, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14 - 40\/210)*-3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191 - -1718\/9. Which is the second biggest value? (a) z (b) 2.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i*i*i\/(i*i**(1\/3))*i*i)**38 assuming i is positive.\nAnswer: i**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 642 - 641.9. Which is the second biggest value? (a) 43\/8 (b) u (c) -0.1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 27*k**2 + 35*k - 1. What are the prime factors of z(28)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1007\/1902 or 0?\nAnswer: 1007\/1902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 - 498*l**5 - 660*l**2 wrt l.\nAnswer: -120*l**3 - 29880*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/4 + 9*l\/4 + 3\/2 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*c + 6*c + 8*c as l + s*c and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l - 259. Let t(n) = -8*n + 284. What is 8*r(h) + 7*t(h)?\nAnswer: 8*h - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 18.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(15\/(-2)))\/(11*-1 + 973728\/88320).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 2. Suppose 5 - 3 = d*m. Find the first derivative of -14*r**4 + 3*r**4 - m - 4*r**4 + 4 wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = 3*x - 1008. What is the least common multiple of x and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/15))\/((w**(-11)\/w)\/w)*w**(-1\/7)\/(w**(-2)\/w))**(-3\/19) assuming w is positive.\nAnswer: w**(-1784\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 + 192*d - 188 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 1760*j + 14150. Give t(8).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 63913446.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.11 - 2.11. Let p = 4 - 3. Which is the third smallest value? (a) 3\/7 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/28*(33\/(-308))\/(130\/(-20) + 8)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/51*18\/(-4). Let r = -80 - 5. Let a = 80 + r. Is y less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2820*b + 2820*b + 64*b**2 + (-2*b + 0*b + 5*b)*(2*b - 4*b + b) to u*b**2 + h*b + o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o - 14. Suppose -3*m = m - 16. Suppose -m*z + 21 = -99. Calculate the remainder when z is divided by h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 23 = p, 4*p - d = -2*d + 57. Suppose 0 = p*y - 12*y. Let c be ((-4)\/10)\/(2\/(-10)). Solve -2*i - c*i + 20 = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 532*m**2 - 1 + 1 + 193*m**2 + 661*m**2 to p*m + u*m**2 + l and give u.\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/3 + 1942853*x**2\/3 + 943666530616*x\/3 - 943672359184 = 0?\nAnswer: -971428, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4*o + j**4 - 13*j**3*o + 16*o wrt j.\nAnswer: -8*j**3*o + 4*j**3 - 39*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + b - 8*b**4 - 4*b**2 + 0*b**4 + 3*b**3 + 7*b**4 - 1 to t*b + l*b**4 + d*b**2 + f + r*b**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2448273cm?\nAnswer: 0.000002448273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7377*l = 2006*l - 879585 + 260307 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - -153. Suppose -o*m + m + m = 0. Suppose m*c - 5*c - 15 = 0, 0 = -5*g - 2*c + 1279. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3) + -5 + 0 + sqrt(91)\/((sqrt(7) - (sqrt(7) - sqrt(7)*-1*-5)) + sqrt(7)) - (sqrt(78) - 2*sqrt(78)*2)\/(-6*-1*sqrt(6)).\nAnswer: -5 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwzclcczc. What is prob of picking 1 l and 2 c?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((2 - (1 + -2)) + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 27, 5, -2 in decreasing order.\nAnswer: 27, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o + 4. Let s = -1 + 2. Calculate the remainder when (-1)\/(o\/13*s) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118331, 236650, 354969?\n\"Answer: 118319*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7 = 23. Suppose u = 3*k + 2. Let y(s) = -k*s - 2*s + 6*s. Let m(n) = -3*n**2. What is y(m(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -0.56, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 121*d**6\/180 + 55*d**5\/4 + 5317*d**4\/72 - 175*d**3\/3 + 49*d**2\/3 - 272*d + 2. Factor n(i).\nAnswer: (i + 7)**2*(11*i - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232306710*l + 116153358*l + 116153360*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Suppose -3*y - n - 6 = 0, -4*n = 2*y - 6*n - v. Let r(s) = 6*s**2 + 6*s**2 - s - 3*s**2 - s**2. Calculate r(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 18 = 2*f, 4*n - n + 6 = -3*f. Let x(i) = 8*i + 5. What is the remainder when x(3) is divided by 2\/f + 63\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*16\/(-3). Let d be -14 - (-3 + (-2 - -3)). What is the smallest common multiple of 5 and (-2)\/(-6) + k\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -52*r - 16. What are the prime factors of i(-3)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001541179 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 + 71 + (2 - -19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/12 - 4*m**2. Let h be a(-4). Suppose 4 = y - h. What is the remainder when 22 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 844 and 1238866666?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 609 - 266. Sort x, 2, 4, 0.3 in decreasing order.\nAnswer: x, 4, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 3 + 385*b - 3 - 427*b.\nAnswer: -b**3 - 42*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2107334148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1954*y - 723*y - 55179 = -127055 - 75359 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 178 = -13*q. Suppose -q*m = 5*m - 19824. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4795\/(-11880) + ((-16)\/27)\/(-8) and (-564)\/36*(-6)\/(-176).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - 14*h**2 + h - 5. Let p be u(-5). Let k be 2\/p - 28\/(-315). What is the third biggest value in k, -26, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 (base 12) in base 10?\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let v(z) be the first derivative of 5 + 0*z - 1\/2*z**2. Determine h(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*n + n. Let u = n + -19. Suppose 4*c = 5*z - 76, -8*z = -13*z - 3*c + 48. What is the greatest common divisor of z and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 v when four letters picked without replacement from mvmvmmvvimmiiijiim.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162978 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3904.7 and 735.63221.\nAnswer: 4640.33221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20322, -20307, -20292?\n\"Answer: 15*f - 20337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4647 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 21, 3\/2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*s = 38, 2*h - 4*h - s = -64. Calculate the highest common divisor of 195 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1100 + 5965. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and -0.1.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a factor of 1433513751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-5))\/(1\/(-5)). Let b be -2 + (-1 + q - (-7 - -9)). Let o(z) = -2*z**2 + 4*z**2 - 10 - z**2 - 6*z. Calculate o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 130. What is n in -37*n + 24*n - 27*n + 12 + 28*n**d = 0?\nAnswer: 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/255000 and -2\/1795?\nAnswer: 91545000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260341?\nAnswer: 257, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -73. Solve -o - 3*t + 12 = 2*o, s = 5*o - 5*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(33\/9).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 3*j - 207 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1008 + 4171. What are the prime factors of t?\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-144)*-10*200\/(-250).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/25241212 and 109\/180?\nAnswer: 1135854540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 + (5 - (-8 + 8)) - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1742644310 to the nearest integer?\nAnswer: 41745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i - c + 15 = 0, -i - c = -7. Solve 4*s + i = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5146909*i**4 + i**2 - 9694*i?\nAnswer: -123525816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a*c**3 - 16*a*c**2 - 12020*a - 3*c**4 wrt c.\nAnswer: 30*a*c**2 - 32*a*c - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 10*z + 9. Let g = 5.7 + -0.7. Which is the third biggest value? (a) g (b) 0 (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 9. Let i be (-6)\/((150\/9)\/(-5))*-5. What is g(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*m - 58, 2*x + 2*m + 26 = 4*x. Calculate the common denominator of -158*(-3)\/54*21\/x and -119\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/189 - 17\/(-9). Suppose -b = -3*d + 8, d - 2*b = -2*d + 10. Is d != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2)\/2 + 13. Suppose i*w - 1925 = 5*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -701, -1059, -1419?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56392482*j**3*l - 2*j**2 + 562303*l wrt j?\nAnswer: -338354892*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19167711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2 - (-1230)\/(-1476))*(-4 - 35)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1056 divided by 6.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(1 - 4 + 4)*(-26 - 38 + 35)*(-2*a**3 + 0*a**3 + 4*a**3).\nAnswer: 174*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 348540325 and 5?\nAnswer: 348540325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2958, 2\/4389 in descending order.\nAnswer: 2958, 3, 2\/4389, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161990 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaqs when four letters picked without replacement from {g: 3, s: 1, c: 6, l: 1, q: 2, a: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 68?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1325540 and 397280.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67894433 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtccthgttgc. What is prob of sequence cc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/8 - ((-416)\/(-13) - 8)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 3*y**4 - y**4 + 10*y**4 - y**2 + y**2 + (2*y + 2*y - 6*y)*(-3 + y**3 + 3).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 23 = 2*j. Let o be (-8)\/3 - 1\/3. Let q = -1 - o. Is q at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1466302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21814*p**2 - 14045*p - 1?\nAnswer: -43628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2463, 5190, 8179, 11430, 14943, 18718?\nAnswer: 22755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*c**3 - 842*b*c**2 - 94*c**3 wrt c.\nAnswer: -6*b - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -628, -1282, -1982, -2752, -3616, -4598, -5722, -7012?\n\"Answer: -4*v**3 + v**2 - 629*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1194\/27 + (-2)\/9. Let q = -38 + v. Suppose -q*t = -3*y, 7*y = -3*t + 5*y + 25. Calculate the highest common divisor of 20 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = 5*m - 0*s, -s = -m + 5. Let b be (-5)\/(15\/(-42))*-1. What is the units digit of 2\/10 - b\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3868\/10*3\/6. Let v = 194 - q. Let l = -9 - -5. Which is the third biggest value? (a) v (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24796 + 24798. Let i = 4.7 + -5. Let c = -0.3 - i. What is the third biggest value in 2\/7, c, l, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4 - ((-4 - 9) + 15)) + 127 + -128?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/24 - 2*c**3 + 13*c**2 + 3*c. Let w be g(15). Solve -15 = -2*z - 4*h + 7, -w*z + 2*h = -9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**4\/4 + 922*m. Let w(y) = -25*y**2 + 5*y + 13*y**2 - 5*y + y. Give z(w(n)).\nAnswer: -432*n**4 + 72*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -63. Suppose -f = 5*h - 128, h + 4*f + 1 = v. What is the remainder when 105 + ((-100)\/(-30))\/((-4)\/6) is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*((sqrt(117) - -5*((-3*sqrt(117))**2 - sqrt(117))) + sqrt(117) + sqrt(117)*-1 + 3) + 5.\nAnswer: -48*sqrt(13) + 21077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12904\/11 - -1168. Calculate the common denominator of y and -1*(-665)\/(-6)*(-27)\/(-405).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4677\nAnswer: -9354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*s + 23940 = 191*s. List the prime factors of s.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -1.996?\nAnswer: 2.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/12)\/(-1))\/((-90)\/(-690))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1305\/233 - 102404\/27727. Let m = o + -30\/17. Factor 64\/7 + m*t**2 - 16\/7*t.\nAnswer: (t - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9938 and 2996005.8118.\nAnswer: 2996004.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-2 + 0) + -31 + 27. Let y be n*(18\/(-8))\/9. Suppose -3*x + 5*i + 18 = -6, 3 = -3*x - 4*i. Solve -4 = 2*a, -y*a = -x*p - 1 + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = 5*b - 17, -5*b + 5 = 5*d. Suppose 5*h + 3*l - 7 = 0, 4*h + b*l - 3*l = 6. Is 6 a factor of 4\/((-8)\/(-6))*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4 and 73\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3616?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-17)\/(-6) - (-6 - 0). What is the smallest value in 4, n, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = g + 4*a, 3*g + 20 = -0*a + 5*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351 + -959. Let c = 7193\/12 + s. Calculate the common denominator of -7 - 20*(-11)\/(-176) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*i + 4*a, a - 2*a = -2*i - 6. Let w be (-26 - -20) + (0 - -2) + 2. Is i <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**5 - 133*r**3 + r**2 + 14506*r.\nAnswer: -140*r**3 - 798*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -81)\/(((-8)\/7)\/(-4)). Suppose 6*l - n = 146. Does 44 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 401*g**3 + 2*g + 2. Let q(k) = 2*k**3 + k. Give 2*q(d) - z(d).\nAnswer: -397*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 43, 314.\nAnswer: 0, 4, 43, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4082628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-2 - -1) - (151 + -160) - -6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50444.977 and 11.\nAnswer: 554894.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let s(x) = -x**2 + x - 1. What is 5*g(u) - s(u)?\nAnswer: 6*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*t - 6 + 39 - 12 - 9 - 3 - 4.\nAnswer: 531*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Suppose b - 3*f = 1 - j, 0 = -5*b - 2*f + 46. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -417869*-0.23\nAnswer: 96109.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7391, 7435, 7467, 7481, 7471?\nAnswer: 7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98029847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -232, -533, -956, -1501, -2168?\n\"Answer: -61*y**2 + 4*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-6 + 4 + 0). Let h(g) = -g**2 + 3*g + 3. Determine h(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1536.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 568568761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.19 - -41. Let r = 0.09 + o. Which is greater: r or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24870490 to the nearest one hundred thousand.\nAnswer: -24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -48, -194, -408, -684, -1016?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-80)*5*(-1)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/3 - 25*d**2\/2 - 11*d - 1391. What is w(-15)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-490)*154)\/(24\/(-60)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148 * 5.\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p + 7. Let d(c) = -3*c - 3. Let n(q) = 14*d(q) + 6*f(q). Let a(t) be the third derivative of -t**5\/20 - 329*t**2. What is a(n(b))?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367*j - 321*j - 120044 - 124768 = 0. What is the lowest common multiple of j and 10?\nAnswer: 26610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-32))\/((-3480)\/(-1392))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -2, 3, -38, 7 in descending order.\nAnswer: 7, 6, 3, -1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0 - 8\/3*m**3 + 0*m - 52*m**2 - 5\/6*m**5 - 1\/12*m**4. What is the second derivative of l(j) wrt j?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2188, -2\/39, 0, -0.3, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1320)\/231)\/(84\/147).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*i + 1003*i - 8 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (416 - 725 - 612)*(3*r + r - 5*r).\nAnswer: 921*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499256 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: b\"What is the gth term of 7, 23, 35, 43, 47, 47, 43?\n\"Answer: -2*g**2 + 22*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 241213012110?\nAnswer: 241213012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -251, -798, -1631, -2744, -4131, -5786, -7703, -9876?\n\"Answer: h**3 - 149*h**2 - 107*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10959802, 10959803, 10959804, 10959805?\nAnswer: 10959806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - 64*a - 38. What is the least common multiple of z(-7) and 2682?\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4133?\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 182764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4852?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4. Let n(x) = x - 4. Let g(l) = -2*n(l) + 2*q(l). Let d(f) = -65*f**2. Determine d(g(v)).\nAnswer: -260*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*r - 1190*r = 160 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.73 + 9.94. What is v rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 23) + -8 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(57) - sqrt(627)\/sqrt(539)))\/((2*sqrt(189))\/sqrt(7)).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, 4, -3, 5 in descending order.\nAnswer: 13, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 9. Let x be i(7). Solve -4*n - 3 = -2*h - 1, -n + h = x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 299*h**2 - 44*h - 124. Let m be j(-4). Which is smaller: m or 4837?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**4*p + 2*n**4 - 20387*n**3*p - 70*n**2*p + 95466*p wrt n?\nAnswer: 216*n*p + 48*n - 122322*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20206177 is divided by 1169.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 + -158. Let d be -5 + (-60)\/(-9) + 8\/6. Sort d, 0, 4, r in decreasing order.\nAnswer: 4, d, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 44) + (1 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 0.068 (c) 82 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v = 13*v - 885. Solve 12*m = -63 + v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -939*d**3 + 6*d**2 - 4*d + 1. Let h be c(1). Let q = -932 - h. Calculate the lowest common multiple of q and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2611*r - 1. Let d(c) = -5220*c - 1. Calculate -3*d(l) + 5*u(l).\nAnswer: 2605*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1536, 1490, 1362, 1110, 692, 66, -810?\n\"Answer: -7*b**3 + b**2 + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/360 + q**4\/4 + q**3\/6 + 4*q**2. Let g(f) be the first derivative of d(f). Differentiate g(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 546101678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/2 - 5*i**4\/2 - 23*i**3\/2 - 11*i**2\/2 + 11*i + 8 = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 21. Let f(i) = 7*i - 55. Let k(g) = g - 11. Let w(d) = -f(d) + 5*k(d). Calculate o(w(y)).\nAnswer: -4*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 94 * 232\nAnswer: 21808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i*(i**(3\/7)*i)\/i*i*i*i)**(-1\/26) assuming i is positive.\nAnswer: i**(-31\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122313337 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + s**2 + 5*s - 15 + 17 as u*s**2 + g*s + v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6404558.\nAnswer: 2, 19, 168541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from pprpkpcppqkpcpkpp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 317, 318?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**14*(c**(-4)*c)\/(c**(-1\/4)*c)*(c**2*c\/(c**6\/c)*c*c)**(-2\/109) assuming c is positive.\nAnswer: c**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5301 + -5306. Which is the fourth smallest value? (a) -6 (b) 2\/15 (c) -2\/11 (d) 0 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Let g = -4.892 + 8.892. What is the third biggest value in g, z, 1\/2, 2\/21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9108370?\nAnswer: 2, 5, 149, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rivinci. Give prob of sequence rvci.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 41 - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 + -42. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12411806 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**4 - 8 - 6*i**4 - i**4 - 2 wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 7*x + 7. Let p(l) be the second derivative of l**4\/3 - 13*l**3\/6 + 13*l**2\/2 + 2*l + 1156. Calculate -11*a(s) + 6*p(s).\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1931, 13 in ascending order.\nAnswer: -4, -2, 13, 1931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 11*m**2 - 2*m + 17. Let c be a(11). Let f(d) be the second derivative of d**3\/6 + 5*d**2 + 6*d. Does 2 divide f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7213, -58375, -197239, -467653, -913465?\nAnswer: -1578523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3553129 and -11.\nAnswer: -39084419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 3. Let d(z) = z + 3. Let i = 582 + -578. Calculate i*c(w) - 3*d(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3*q - 3*a*q - 31*a - 2976*q wrt a?\nAnswer: -9*a**2*q - 3*q - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10263 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let s(w) = -16*w. Suppose 12*g - 362 = -374. What is g*s(c) + 8*y(c)?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -12209*s + 36344. Calculate v(3).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuusslkusuut. Give prob of picking 1 u and 2 s.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 8*p**2 - 9*p + 12. Let l be k(9). Factor l*o + 6*o + 10 + 2*o**2 - 6*o.\nAnswer: 2*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -22 - 3*r - r + 3*r + 2*r + 2*r**2. Determine w(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/11*y - 2\/11*y**3 + 6\/11*y**2 + 10\/11.\nAnswer: -2*(y - 5)*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*p + 38, 2*y + p = 2055 - 2072 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/377 - 765\/4147. Let n = 16 + -4.9. Let t = n + -11.1. What is the third smallest value in 5, t, l, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - 65\/(-20). Let t = 86 + -91. What is the nearest to -18 in o, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-5)\/(-330)*2). Let i = x - -33. Suppose 0*n + 4*n - 52 = i. Calculate the remainder when 34 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 3 + 3 + 2. Let y = -1 - 1. Let n be w(y). Solve -3*i = -2*d + n, 9*i - 4*d + 14 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*r + 133*r - 815 = 960 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:49 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 843161 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16030.9996556 + -16031. Round s to 6 decimal places.\nAnswer: -0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -19*p + 3419. Calculate h(182).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 + 5*v + 5. Let d be s(6). Let g = 0 - -0.1. Which is the nearest to d? (a) g (b) 1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6063476*q**2*t**2 - 58825*q**2*t - q**2 + 1 wrt t?\nAnswer: -12126952*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22745 - 21642. Solve 1087*n = l*n + 128 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/5)*l))**(-1\/3)*((l\/l**(-2\/3))\/l)**45 assuming l is positive.\nAnswer: l**(457\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 4, r: 2, q: 2, l: 2, s: 1}. What is prob of sequence slrq?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 800*k - 256413. Give d(-188).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 62 = 14. Let k = 73 - t. Let x = k - 29. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c**3 - 9*c**2 + 13*c - 9. Let m(t) = 5*t**3 - 4*t**2 + 6*t - 4. Let q(l) = -4*d(l) + 9*m(l). Let z(n) = -n**3 - n. Determine -q(a) - 2*z(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 12 - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*1*sqrt(76) - sqrt(76)*-1*-1)\/(sqrt(40)\/(sqrt(60)\/(sqrt(24)\/sqrt(4)))).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, u: 1, v: 1, r: 1, c: 11}. Give prob of picking 1 r, 2 c, and 1 o.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + 8\/4 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*-6 - (-343)\/(-147).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869*t = 871*t + 5*d - 10536, d + 26286 = 5*t. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111999.\nAnswer: 3, 37, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3 - 14 = -5*h, -15 = 4*d - 3*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324 - 12. Suppose g = 3*w + w. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 - 204\/(-90)*5. Which is the biggest value? (a) m (b) 30 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69866462.\nAnswer: 2, 829, 42139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 21*w**2 + 73*w - 28. Calculate y(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11970 and 3570.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43372304 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7680594ml to litres.\nAnswer: 0.0007680594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4280714 and 20102?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36370193, 36370192, 36370191?\nAnswer: 36370190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -786, -3203, -7242, -12909, -20210?\n\"Answer: -g**3 - 805*g**2 + 5*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -726998661, -1453997324, -2180995987, -2907994650, -3634993313, -4361991976?\n\"Answer: -726998663*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -5870, -13571, -24364, -38249, -55226?\nAnswer: -75295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4513 + 5690. Let r be 2 + 6 + 734228\/72. Let t = r - d. Calculate the common denominator of -9\/8 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/241399725 or 0?\nAnswer: 2\/241399725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 12*a**2 + 3*a - 16. What is the remainder when n(12) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322 - -422. What is the highest common factor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/(-1) + 10\/10. Let p = g + -27. Suppose -3*j + 5*d = -20, 4*d + 27 + 5 = 4*j. What is the remainder when p is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 9?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 4*p + 1. Let y = 118 - 120. Let f be n(y). Put f, 0, -5 in ascending order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1600, -6277, -14042, -24895?\n\"Answer: -1544*g**2 - 45*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -40, -154, -402, -838?\n\"Answer: -9*g**3 + 14*g**2 - 13*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = i - 289. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d + d**3 - 6*d**2 + 0 + 4 + 0*d**3. Let y be u(5). Sort 1, 5, y in descending order.\nAnswer: 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.04 + -43.24. What is the nearest to b in -1\/1887, -0.4, -2?\nAnswer: -1\/1887","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -436756 (base 8) to base 14.\nAnswer: -3b78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(13\/5))**20 assuming a is positive.\nAnswer: a**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 + 309. Let m = 53 - l. Calculate the highest common factor of 243 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 2)*(507*h + 3051*h + 802*h) to v + r*h and give r.\nAnswer: -21800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - l + 1, 5 = 5*d - 0*d + 5*l. Let q = d + 3. Suppose q*a - b - 19 = 0, 2*a - 7*a = b - 21. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 611, -15, -2 in increasing order.\nAnswer: -35, -15, -2, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(300))\/(sqrt(48)\/(sqrt(12) + sqrt(192) - sqrt(12))).\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 4*b**2 - 2*b**2 + (0 + 0 - b - 3 + 3 + 2*b + (3 - 5 + 3)*(-4*b + b + 4*b))*(-1 + 1 - 3*b)*(-90 - 73 + 19) to n*b**2 + a + c*b and give n.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:49 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 3. What is the remainder when p(-4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 20*i + 20. Let v be -5*(-3 - -6 - 4) + -2. Which is the third biggest value? (a) i (b) 0.034 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 4 - h**3 - 3*h**2 - 2*h**2. Let d be l(0). Let k = 2204 + -2185. Solve -d*i + 3 = -3*f + k, i + 4 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 3*k + 15. What is the remainder when 103 is divided by i(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 2:02 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184693534?\nAnswer: 2, 92346767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 23*x**2 - 2*x + 20. Let g(d) = 2*d**3 - 45*d**2 + 4*d - 41. Let f(b) = 8*g(b) + 15*v(b). Calculate f(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 0.42264\nAnswer: 18.57736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-3) - 11\/(33\/21). Which is the closest to -2? (a) 2\/19 (b) p (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 6*i**2 - 10*i. Suppose 4*q + 2 - 6 = 0. Let c(m) = -m**2 - m. Let z(a) = q*x(a) - 6*c(a). What is the second derivative of z(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egpuppeuupqbpgp. What is prob of picking 1 p, 1 g, and 1 b?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13679558 - 5*u**2 - 13679563 + 0*u**2.\nAnswer: -5*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-5)*(3 + 11*-5). Let d = 126 + j. Suppose -26 = -2*v - 2*g, -4*v = 5*g - 36 - 13. What is the lowest common multiple of v and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -81, 1\/2?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -26*o**3 - 7*o**2 - 66*o + 47. What is the tens digit of a(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -992, -1985, -2978, -3971?\n\"Answer: -993*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 15*r - 160. What is q(0)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -108*t + 117*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-21)\/6)*(3 - -1). Suppose 2*d = -w*h + h + 41, 2*d - 5*h = 35. Calculate the greatest common factor of 70 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 3:42 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324090 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.64 - -132.88. Put 1.5, y, -5, -1\/4, 2\/9 in descending order.\nAnswer: 1.5, y, 2\/9, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**8\/x*x*x*(x\/x**(-2\/5))\/x)**1*x**(-1)\/((x*x**5\/x*x)\/x)*x**(-1\/3)*x**(-7) assuming x is positive.\nAnswer: x**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let j(z) = -7*z + 51. Give d(j(g)).\nAnswer: 98*g**2 - 1428*g + 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 + 3*u**3 + 4*u**3 + 2*u**3. Let f be ((-2)\/(-6))\/((-3)\/(-9)). Let v be l(f). Solve -7 = 3*m + n, -v*m = -m - 3*n + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1761*k - 1765*k + 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 8*a**2 + 10*a + 1. Let v be j(7). Suppose -5*b - 4*i = -12, -3*b = b - 3*i - v. Let n = b + 10. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464776 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-845)\/(-40) - 5835\/(-3112)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 - 48*t**4 - 156*t**3 - 112*t**2 = 0. What is t?\nAnswer: -7, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 69 = 3*r, 0 = 5*r - 22*m + 18*m - 115 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 16*a**2 - 524*a + 64. What is the lowest common multiple of x(34) and 72?\nAnswer: 27504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s = 556, -n + 0*s - 5*s + 556 = 0. Let b = n + -548. Solve -w = w - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -926*v**2. Let w(q) = -62*q**2 - 61*q**2 - 62*q**2 - 67*q**2 + 254*q**2. What is w(r(a))?\nAnswer: 1714952*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 5*z, 0 = 3*z - x - 4*x - 22. Suppose z*g + 2*n = -0*g - 6, -5*g = -4*n + 27. Is 1*11 - (g - -4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.1 + -39. Let h be 0 - (0 - 0) - 5. What is the closest to 0.07 in h, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000481339234 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + p**3 - 2*p**2 - 2*p**2 - 2 - 3*p**2. Let y = 10 + -4. Calculate the smallest common multiple of 10 and z(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 960.1 - 960. Let w = 156.3 + -156. What is the closest to w in -0.4, t, 12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 8, v: 1, f: 4, e: 1}. What is prob of sequence dade?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12188273 is divided by 521.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 10:53 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136687 and 38628262?\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2304)\/(-15))\/(2\/10). Let j = 1105 - v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 + 16 = 3*c, 0 = 2*c + 3*l - 33. What is the remainder when 134 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 716246626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-2*(-1*sqrt(1584))**2*-4 + -5)*2.\nAnswer: -152007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7642496886 rounded to 5 dps?\nAnswer: 0.76425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4 + 2))\/(-1). Let p = 0 - 0. Let l = m - p. Solve -l*h + 2 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78557565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284 + -279. Suppose -x + 6225 = 8*j - 3*j, c*j - 4*x - 6225 = 0. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1550?\nAnswer: -3100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1384 and 3566.\nAnswer: 2467672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 9. Suppose 4*h + 5*a = 776, 0 = 4*h - a + d*a - 776. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720594 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 4:15 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x + 128. Let u = 9 - 1. Is (18\/u)\/((-12)\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9195736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - w + 0*w)*(5*w + 6*w - 4*w) as q*w**2 + l*w + t and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 17*m + 18. Let v be z(16). Let i(h) = -14*h**3 + h**2 + 3*h - 6. Let g be i(v). Which is bigger: -107 or g?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -3 - (-314 + 323)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) -4 (c) 2\/171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63642)\/(-252) - (19\/(-6) - -3). Let o = 253 - q. Sort -1\/5, -3, o in increasing order.\nAnswer: -3, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 + -180. Let i = 0.1 + 0.3. Let u = -0.173 + -0.227. Which is the second smallest value? (a) m (b) u (c) i (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4123 * -3.\nAnswer: 4.2369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + 2 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170521261 - 1?\nAnswer: -170521262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(720)*1 + sqrt(720) + sqrt(720))**2 - sqrt(720))*2.\nAnswer: -24*sqrt(5) + 12961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/2*5)\/(220416\/734720).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.863243 to two decimal places.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*o = 1920, 3*j - 3*o = -129 + 5943. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v + 38. Calculate r(-13).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*r + r - 8 = 0, 5*r = d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 99. Let h(j) = i - 117*j + 114*j + 125*j**2 - 1. Does 6 divide h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 + 275. Let p = -505.333 + h. What is p rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - w**4)*(-3 + 5 + 2) + w**4 - 2*w**4 + 0*w**4 + (-8*w + 3*w + 3*w)*(3*w**3 - 2*w**3 + 0*w**3).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -0.7, -742\/321 in descending order.\nAnswer: 7, 1, -0.7, -742\/321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9941572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 + 30*f**4 - 70*f**3 + 80*f**2 - 45*f + 10 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13*l**3 - 6*l**2 + 5*l - 1. Let k be a(4). Let c be (-4)\/14 - k\/21. Suppose -5*r - 10 = 5*z - 50, c = 5*z + 4*r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0667 - 0.5667. Let d = -1 - -1.4. What is the second smallest value in c, -1.4, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - x + 1)*((6 - 3 - 4)*(366*x + 326*x - 639*x) + x + 4*x - 3*x).\nAnswer: 51*x**2 + 255*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + 5*sqrt(208) + sqrt(468) + 0 + 5)**2.\nAnswer: 364*sqrt(13) + 8840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:17 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 2ca?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -19*h**5\/120 - 10*h**3 + 20. Let j(p) be the third derivative of w(p). Let l(o) = o**2. What is j(l(b))?\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.37 rounded to zero dps?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*h - 21103 = 0, -2*z + 8788 + 1766 = -2*h. List the prime factors of z.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 0)*-54*2\/(-3). Calculate the greatest common factor of 36 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**2 + 9 + 3*v - 3*v + 8*v**2. Let s(o) = o**2 - 1. Let c(q) = -p(q) + 3*s(q). What is the first derivative of c(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 354640?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1)*(185\/15 - 12). Let c(q) be the third derivative of 3\/2*q**3 - 1\/3*q**4 + i*q + 0 - 4*q**2 + 1\/60*q**5. Calculate c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 + 73*w + 124 in the form t*w + f and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)\/r*r\/((r*(r\/(r*r**(-14\/3)*r))\/r)\/r) assuming r is positive.\nAnswer: r**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from rrrarrrrrrrraarraa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283592 and 1216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 12 + (-4 - -52) - 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14743658 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-18) + 2\/(-6). Let v = -8 - -2. Let s be (-29)\/28 + v\/(-8). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 15*u + 2. Let o be p(-15). Let l(w) = 115*w**o - 236*w**2 + 115*w**2. Let b(y) be the first derivative of 2*y**3\/3 + 1. Give l(b(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t. Let h(p) = 1248*p. Determine h(n(x)).\nAnswer: 13728*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(-19))\/h)\/(h*h**0)*(h\/(h*h**(-32))*h)**10)**(3\/4) assuming h is positive.\nAnswer: h**(933\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3651028 or 3651025?\nAnswer: 3651028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxccxxx. What is prob of picking 1 x and 1 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 32. Solve -v - 8 = -5*m - u*v, 0 = 2*m - 3*v - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 100624\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let o = 0.9656 - -0.0344. What is the nearest to 0 in 5, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f - 14. Let z be w(0). Let i be (z\/6)\/(2\/(-12)). Suppose -3*a + 16 = -i. Calculate the least common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (276\/(-5))\/4. Let w = 15 - t. What is the closest to -1 in -1, w, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54095 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 times 10?\nAnswer: 8430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(84\/8)*-15. Let m be 16\/(-20) + 32\/y. Let v(w) = -9*w + 7. Let t(a) = 5*a - 4. Give m*v(c) - 7*t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(24)\/(sqrt(20)\/(sqrt(5)*1)))\/(sqrt(300)*2*-5).\nAnswer: -3*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is -7 < 8889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6712 - -17183. What is the highest common factor of 37 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 3*g - 2. Let r be j(4). Let u = r + 60. Let w(l) = l**2 + 2*l - 3. Let b be w(2). Sort b, -5, -1, u in descending order.\nAnswer: b, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 - 6*h - 5. Let u(p) = 2*p**3 - 5*p**2 - p - 9. Let l be u(3). Calculate a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 8:25 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/8 (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1418376 and 0.08.\nAnswer: -0.0618376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22969 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 + -287. Let k = 153.4 + y. Let t = 3\/7 - -6\/35. What is the third biggest value in 0.2, t, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 32*x - 15. Let s be i(10). Suppose 0 = 2*v + 2*b - 2074, s*b + 21 = 1. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 6*k)*(-2 + 2 + k) + k**2 - 5*k**2 + 2*k**2 + (5*k - 4*k - 3*k)*(-2*k - 2 + 2).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 44 + 19 - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -3*j + l, 4*j + 4*l = -j + 621. Let i(z) = -15 + 0*z - j*z - 60*z. Is i(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 = -o + 2, -17 = 4*k + 5*o. Solve k*w = t - 4, -4*w - 11 = -w + t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26355 by -5271.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11127438, -11127441, -11127444, -11127447, -11127450, -11127453?\nAnswer: -11127456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y**2 - 346*y + 2622 = 0. What is y?\nAnswer: -23, 57\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16707995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*(14 + -2). Let b be 2\/((-16)\/(-6))*i. Which is bigger: b or -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/30 + 9*w**2. Let c(d) = 17*d. Calculate c(r(n)).\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3\/7, -260123 in descending order.\nAnswer: 3\/7, -0.3, -260123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7928ab + 3?\nAnswer: -7928a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -39744?\nAnswer: 39741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 11*r = 171. Let g be (-27)\/r + (1 - -5). Solve 2*l - 9 = -1, -g*c = -2*l + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -330*b**3 - b**2 - 4*b - 3. Let x(l) = l**3 + 8*l**2 - 4*l - 33. Let f be x(-8). Let t be v(f). Factor -380\/3*i + 40\/3 + t*i**2 - 135*i**3.\nAnswer: -5*(i - 2)*(9*i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7216 = -132*w + 136*w. Calculate the greatest common factor of w and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**3 - a**2 + 1. Determine w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -167859*v + 1846469. Determine y(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29 - 4 = 0. Let z = 2 - -2. Solve -z*h = h + b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 254 = 5*l - 209, l + 5*o = 75. Calculate the remainder when l is divided by 69.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21367 + 107*x**3 + 21367 + 723*x**2 wrt x?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + -106 - (-42 - -12)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111330312033 (base 4) in base 9?\nAnswer: -11740316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*o + 21 = 0, -4*o = -11*m + 8*m + 11. Sort -0.9, -0.4, m, 11.\nAnswer: -0.9, -0.4, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124*327.2.\nAnswer: -40572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/12 - u. Let w(z) = -3*z + 16. Let n(s) = -7*s + 44. Let h(o) = -3*n(o) + 8*w(o). What is g(h(j))?\nAnswer: -9*j**2 - 24*j - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*h + 1212, -191*h + 4*c - 330 = -192*h. Let x be 173 - 3\/(-1) - -3. Suppose x = 5*k + 9. What is the greatest common factor of k and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/8)\/a)\/a)**(-10\/13) assuming a is positive.\nAnswer: a**(85\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 36*s**4\/5 + 408*s**3\/5 - 1292*s**2\/5 + 144*s - 112\/5 = 0.\nAnswer: -14, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -18, -1, 9, 7 in decreasing order.\nAnswer: 16, 9, 7, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16952 + -16859. Calculate the highest common divisor of 222 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.05, 5, 0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {v: 1, z: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 890*p**2 + 444*p.\nAnswer: 2*p*(p + 222)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.2 + -6.8. Let s = 27 - 12. Which is the biggest value? (a) h (b) 5\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 27 = 3*n, 13 = -5*n + 3*w. Is n < 3318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/34*(-2)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 348891.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8242*z + 16662*z + 4200 = 8336*z for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7*j + 3*a - 11 = 0, -j - 2 = 4*a. Calculate the least common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2. Let a(j) = 3 - 754*j**2 - 3 + 753*j**2. Determine a(w(y)).\nAnswer: -25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2 + 3*g. Let z(v) = v**2 + v. Let c(r) = -2*r - 11. Let t be c(-8). Let j(x) = t*d(x) - 15*z(x). Let n(w) = 4*w**2. Calculate n(j(b)).\nAnswer: 900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.49. Which is the biggest value? (a) -3\/7 (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 387*m**2 + 94814*m\/5 - 49\/5.\nAnswer: (m + 49)*(1935*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 8*h - 6932. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*a - s, 4*s = -5*a + 30 + 37. Suppose 14*l - 13*l - 4*w = 744, -15 = -3*w. Suppose 16*i + 60 = l. What is the remainder when i is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 16*c + 2. Let s(y) = 6*y**2 + 33*y + 5. Let k(o) = 9*r(o) - 4*s(o). What is the units digit of k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 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: List the prime factors of 77271.\nAnswer: 3, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -23*w**6\/30 - 3*w**4\/2 - w**2 - 37*w. What is the second derivative of b(l) wrt l?\nAnswer: -552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5\/3 (b) -10.307 (c) -3 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 - 1 + 0 + 3 + (0 + 3 - 2)*(-6 + 2 + 2) - 3 + 6 - 4)*(-34*b**4 + 44*b**4 - 57*b**4).\nAnswer: 94*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5*j**4\/24 + 4600*j**3\/3 - j**2. Let w be z(0). What is w rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 48. Suppose 5*j + 74 = 2*w - 224, h*w - 2*j = 787. What is the highest common factor of w and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 5}. Give prob of picking 3 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2. Let c(s) = -202718*s**2. Determine c(j(g)).\nAnswer: -1824462*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -54*d + 144 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k**3*v*y + 8*k**3*y - k*v*y + 8*v*y - 3*v + y wrt k.\nAnswer: -9*k**2*v*y + 24*k**2*y - v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 37*x = -193, 6*b = -9*b + 13*b + 2*x + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4 + 12. Let u be 99 - (w - 1\/1). Suppose -5*f + u = f. What is the remainder when 29 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 7}. Give prob of picking 1 v and 1 z.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 b when four letters picked without replacement from bhhhhhhhhhhbh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -30. What is the smallest common multiple of -29*(-138)\/3335 + (-2)\/10 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 51. Suppose 5*x + a = -5*l, -2*l = -x - x + 10. Suppose -15 = -3*i - x*i. Solve 0 = 4*z - 5 + 21, i*u - 6 = 3*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929583527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4343*v + 36*v**2 - 137 - 371 + 2*v**3 + 52 + 4281*v = 0.\nAnswer: -19, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 11 = -c, -11*t = -2*c - 7*t + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(605) - (0 + sqrt(605) + sqrt(605))) + (sqrt(605) - (sqrt(605) - ((-1*(-1 + sqrt(605)) - sqrt(605)) + sqrt(605)))).\nAnswer: -22*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82076 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**(-2\/53)*(((f\/f**(-3\/10))\/f)\/f)\/(f\/(f*(f*f\/(f**5*f))\/f)) assuming f is positive.\nAnswer: f**(-3081\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 7. What is the remainder when x(5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-15)\/(-9)) + (-19)\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 0, -5*s + 5 = -q - 5. Solve -q = -4*d - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 2. Solve 2*n = -4*q - 14, 0 = f*q - 5*q + 3*n - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 567, 684, 1017, 1674, 2763, 4392, 6669?\n\"Answer: 18*b**3 - 9*b + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -557 + -5?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or -0.067?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 6)*(-5198*a - 43*a**2 + 5198*a - 3*a**3) as z*a + q + w*a**3 + g*a**2 and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/(-3)*0. Suppose 0 = 4*y - c - 813, v = 2*y - 0*c + 3*c - 403. Suppose 3*o = 5*d - y, 5 + 110 = 3*d + 5*o. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8636 divide 509604926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -133, -4\/5, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:45 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 1 - 5. Let q be k\/((2 + -1)\/(-1)). What is the remainder when 0 + -1 + q - -6 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64516*j**4 - 383746248*j**3 + 570653332756*j**2 - 44931548880*j + 884467600 = 0. Calculate j.\nAnswer: 5\/127, 2974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.26. Let i = z - 0.13. Let j = -0.18 + i. Round j to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 699*l**3 + 3*l**2 + 3. Let j(b) = 217389*b**3 + 932*b**2 + 932. Determine 3*j(w) - 932*s(w).\nAnswer: 699*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12474 - 9988. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*j + 3657, -4*z + 3*z = -j + 1223. What is the hundreds digit of (-12)\/8 - z\/(-12)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -92 = -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*m + 2807 = -193*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 + 5*i - 5. Let m(p) = -p**2 + p - 1. Let s be (-369)\/(-82) + (-22)\/(-4). Let h(q) = -q - 7. Let c be h(-5). What is c*u(w) + s*m(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 99. Suppose 2*d - t = -d. Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296799 is divided by 612?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyeeeeeyyyesyue. Give prob of picking 2 e and 1 s.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.9 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43626 divided by 3966?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-144)\/(-10))*(-2552)\/(-1595)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44087310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1020, 1077, 1194, 1371, 1608, 1905?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-1))\/8*6. Suppose 0 = -t + 4*m + 3, t + 3*m + 6 = k*t. Solve 0 = t*i + 3*v - 9, 3*v + 3 - 2 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:29 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a0 (base 13) to base 11.\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Suppose l - 3 = -m. Calculate the smallest common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0*p + 1\/6*p**2 - 1\/6 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-35))\/((-136)\/119))\/((-3)\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -37?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6, 0*o = 3*m + 2*o - 12. Suppose -5*y = -4*v - 25, -m*y + 3 - 6 = v. Which is the third biggest value? (a) 7 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(17\/(-3) - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(363) - (sqrt(363) - (sqrt(363) + sqrt(363) + 0 + 2)**2 - sqrt(363))) + sqrt(363) + -4)*6.\nAnswer: 1980*sqrt(3) + 26136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10666 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 4*z. Let w(f) = 2*f**2 + f - 1. Calculate w(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 1. Let d(r) = -3*r**5 + 15*r**4 + 9*r**3 - 45*r**2 - 30*r - 6. Let b(y) = -d(y) - 6*k(y). Solve b(j) = 0 for j.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31281 and 27?\nAnswer: 281529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 + 495. Sort -1, 1\/7, q in descending order.\nAnswer: 1\/7, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707.0000002453 - 707. What is s rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 1.3, 0.5, -0.5, 23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2003192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 9*m + 0*m**5 + 0*m**2 + 4*m**3 + 0*m**4 + 0 - 3\/5*m**6. What is the second derivative of c(t) wrt t?\nAnswer: -216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 18*a = -14*a - 1042904, 0 = 4*x + 3*a - 1042909. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 2*g)*(-10 + 3 + 8 - 2*g).\nAnswer: -6*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-29))\/(z**(-4\/11)\/z))\/(z**(-15)\/(z\/(z*z**(-1\/7)))) assuming z is positive.\nAnswer: z**(3658\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 188*w. Let d(a) be the third derivative of a**5\/60 + 72*a**2. Determine q(d(y)).\nAnswer: 188*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:01 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/20*(-230)\/(-138)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133752752 take away 2?\nAnswer: 133752750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 1173 - 1203 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 91\/4*x**4 - 6 - 1\/2*x**2 + 2\/3*x**3 + 134*x. Find the second derivative of d(p) wrt p.\nAnswer: 546*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327671 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -1. Let o(j) = -j**3 + 6*j**2 - 6*j + 4. Let m be o(i). Let l be (-8)\/3 - (-4)\/2. Sort 6\/11, m, l in descending order.\nAnswer: 6\/11, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Let v be (-17 + 6)\/(-11) + -4 + 1. What is the nearest to -0.1 in -4, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-1))\/((-1716)\/52).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -210 - -455. Let f = k - 246. Sort -2\/5, -2, f in decreasing order.\nAnswer: -2\/5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6254 and 9558?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*u**2 + 57*u**2 - 109*u**2 - 55*u + 55*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 1359917 = 21*l - 14*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 85. Let h = k + 32. Let o = h - -26. Is o < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -496, -1144, -1804, -2482, -3184, -3916?\n\"Answer: -j**3 - 641*j + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.17 or -0.11022?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9401528 years in millennia?\nAnswer: 0.0009401528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 15*u = -5*a + 56, a - 4521 = -u - 4526 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 7. Let x be j(-7). Suppose -d - 3 + 2 = x, -d + 197 = 2*q. Let r = -86 + q. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-78) + 10\/(7280\/167). What is the second biggest value in p, 5, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-44 - -45)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:22 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157057 (base 8) to base 4.\nAnswer: 31320233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90116 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 85845.84 days?\nAnswer: 2060300.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -13 - 12 - 5*v**2 + 10 + 20*v = 0. What is v?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 != -8038.816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32639 minus -7081?\nAnswer: -25558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 275 - 275.02. Sort -0.05, -5, p in decreasing order.\nAnswer: p, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 at most as big as -167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 75b50 (base 14) to base 2\nAnswer: 1000101100010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -54, -1, -5, -9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4819 - -4822. Solve 13*r = 16*r - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -255 bigger than -250.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/((-36)\/(-10)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d*y**5 + 352*d*y**3 - 48999*d*y + y wrt y.\nAnswer: -160*d*y**3 + 2112*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*z**2 - 2*z**2 + 6*z**2 + 21*z**2 - 16*z**3 wrt z.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 196 - 2 - 26 in the form h*k + o and give o.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*b, 247 = a - 2*b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2. Let y be (-4)\/(-18) - 160\/(-9). What is the remainder when 544\/y + 6\/(-27) is divided by t(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 2020840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {z: 3, x: 5, c: 1, f: 4, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -309.85 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - w**2 + 4*w + 3. What is y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -26 (c) -8236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 637*u - 284*u - 380*u)*(3*u**3 - 3*u**3 - 2*u**3) as m + t*u**4 + k*u**2 + d*u + f*u**3 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42736 - 42871. Suppose -2*w + 0*w - 270 = 0. Are a and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 95*i**2 + i. Let c be u(-1). Suppose 32*b - 2003 = 193 + 364. Let w = c - b. What is the greatest common divisor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189246 is divided by 9958?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 298 - 302. Let v(g) = -166*g + 91. What is the hundreds digit of v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -537 smaller than -535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v - 198. What is the remainder when 50 is divided by n(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.548 - -7.468. Let k = 0.3 + -0.7. Which is the nearest to 0? (a) -4 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*f - 5*r, 4 + 5 = 3*f + r. Suppose -6*s = -f*s. Let 1\/2*t**2 + s + 0*t + 2*t**3 = 0. Calculate t.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(729) - (1*sqrt(2)*3)**2 - (sqrt(80)\/(sqrt(16)\/sqrt(4)))\/(sqrt(10)*2*-2).\nAnswer: -18 + 13*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716633 a multiple of 1670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(11)*6 + (sqrt(539) - (sqrt(539) + -1)) - -3*(sqrt(704) + 0)) + -1)**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -46. Let w be 4\/18*3 + (-2)\/y. Let q(m) = 2*m + 2. Let a be q(w). Solve 4*n + a*x = 3*n + 10, x - 4 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 1, 192.\nAnswer: 1, 4, 7, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-4)\/3)\/2)\/(-1))\/(132\/(-3762)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4 + -5 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50710 divided by -2.\nAnswer: -25355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from lzlzrlmlmlzmllzlpzz?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5999198 and 54944?\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -3\/2, -1\/5, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 3\/(-6))*-2. Let x be 2 - -16 - 3 - v. Calculate the highest common divisor of x and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 253\/184 - 1110\/(-240)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0503 plus -272309?\nAnswer: -272308.9497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1370, -1983, -2596?\n\"Answer: -613*x - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000452618 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.721857 years?\nAnswer: 68.662284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5200*k + 2736*k - 8684 = -2631*k for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g - 54 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2 - 2 - 2*h**3 - 4 + 4 - h**3 - 2*h**3 + 4*h**3 + (2*h**3 - 4*h**3 + 4*h**3)*(4 - 6 + 1) + 7*h + h**3 - 7*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -425*o - 135. Let l be q(-13). Suppose 3*f = 6, 3*a + 8*f = 7*f + l. List the prime factors of a.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 9, 18, 29, 42, 57, 74?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3) + 2)*6. Solve -g = 5*a + 15, 3*c + a - 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 + -10711038598?\nAnswer: -10711037253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -41. Suppose -3*v - b = -409. What is the greatest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -d - 9, -2*d - 4*p + 2 = -2*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16996, 16783, 16574, 16369, 16168, 15971, 15778?\nAnswer: 15589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + 15 - 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -115*w - 84. Let q(x) = -77*x - 56. Let a(i) = 7*q(i) - 5*u(i). What is the units digit of a(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12*4\/(-15))\/(2\/115). Let j(c) = -c + 184 - 2*c - s. Let w(t) = 3 - 3 - 8*t. Determine j(w(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 5*n**2 - 4*n. Suppose 2*j = -3*j + 25. Suppose j*k + 0 = -15. Is m(k) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1081\/4 + -269. Let i = 97 + -483\/5. What is the closest to i in -4\/9, 2, b?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/57098 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = -0*c + 2*c, 2*c - 5*i = 5. Suppose 0 = c*r - 2*r + 12. Let t(f) = -f**3 - 3*f**2 + 5*f - 2. Calculate t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = -20. Let k(s) = -s**3 - 5*s**2 - s - 3. Let o be k(x). Solve 5*l - 3*l + o = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -2\/11 (b) 0.0663 (c) -0.1321 (d) -1\/3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -87*v - 519. Let k be g(-6). Solve -5*u - 4*s = 33, 2*s + k*s = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -20*l - 111. Let q(r) = 3*r - 9. What is q(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u**(-3\/8))*u*u**(-15)*u*u*u\/(u\/u**(-15\/7))*u*u**(-6) assuming u is positive.\nAnswer: u**(-995\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 305299865 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181266 is divided by 90866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -4 in descending order.\nAnswer: 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 6*t + 6. Let z be d(-7). Let k = -62 + 37. Let w be 2\/10 - 120\/k. Sort w, z, -5 in descending order.\nAnswer: w, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99083525*k**3*t**3 - k*t**3 - 4*k*t**2 + 12915*k*t - 3*t**3 - 2*t**2 - 15*t wrt k?\nAnswer: -594501150*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -61*-10074.5\nAnswer: 614544.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 - 4*g + 5. Let o be c(-5). What is the units digit of ((-12)\/10)\/(10\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times 7.4?\nAnswer: 8.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 319311774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36379351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/567)\/((-45)\/(-63))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00617967 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 54488347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 + -1)\/(2\/32). Let i(n) = 4*n + 4. Let q be i(8). Let f = 54 - q. What is the greatest common factor of r and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 + 48*l + 274. Let a be d(-6). Is -179 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15588771 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:07 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 6)*2\/6. Let b = 7 + o. Let c = -4 - -6. Sort b, c, -2 in ascending order.\nAnswer: -2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 11. Let m(i) = -i + 3. Let y(x) = 6*h(x) - 22*m(x). Let q(u) = -8*u - 1. What is y(q(f))?\nAnswer: 16*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.32411698 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = b - x, -4*b - x = -3*b - 89. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60302.63 weeks in seconds?\nAnswer: 36471030624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 735, -2\/13, -2, 10\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -4\/223925?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.02466 rounded to one decimal place?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1771*v - 1775*v - 27*b = 42, -2*b = -3*v + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + ((3 - -2) + 7 - (37 - 37))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -50 (c) 1\/7 (d) -0.01 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*g - 15, g - 5 = 2*w - 0. Suppose w = -2*q - 2*f - 14, 16*q - 19*q - 19 = 2*f. Let c = 13 - 3. Put q, c, 3 in descending order.\nAnswer: c, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(700)*-1)**2 + 1 - ((sqrt(112)*-1)**2 - (0 + sqrt(21)\/sqrt(3))).\nAnswer: sqrt(7) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**2 - 5*n - n**3 + 19 - 19. Let h be y(-4). Suppose 0*v = -h*v + 40. Solve 4*b = -b + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -5, 2, 1\/461, -14, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*y + 62, 5*y - 2*x = 7*y - 36. What is the least common multiple of 98 and y?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose 2*y = -12 + 48. Suppose q*z - y = -0*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/31*432\/2160?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-3) - (-1014)\/117)*9873\/(-2). Do -3287 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*81\/81*1*7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2\/7 in ascending order.\nAnswer: -5, -3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 - 17 = 2*b, -18 = -5*d - 3*b. Let n = d - -28. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(13) + 1))*4 + (-6*(sqrt(78) + (sqrt(78) - 1*sqrt(78)) - sqrt(78)))\/(sqrt(24)*3).\nAnswer: 24 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (804\/335)\/(3\/(-400)*-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -17. Let a = p - -35. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 - o + 4. Suppose 2*u + u = 0. Let l be r(u). Suppose x - t + 196 = l*x, -4*x = -t - 273. List the prime factors of x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 101. Let u be 6\/((v\/6)\/((-28)\/(-210))). Sort u, 3, -0.1 in descending order.\nAnswer: 3, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.99 + 0.01. Let q = -7.75 + w. Let x = q + 0.5. Round x to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2\/7 (c) 1\/4 (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 - 3*x - 26. Determine j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20973713881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -7*l**5\/30 + 25*l**4\/12 + 50*l**3\/3 + 616*l**2. Factor j(g).\nAnswer: -2*(g - 5)*(7*g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -4, -132, 4, -1 in decreasing order.\nAnswer: 13, 4, -1, -4, -5, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-429) + 4\/14 + (-783)\/24570?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 12*b + 35. Give h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 14*d. Let o(u) = -26*u. What is o(i(y))?\nAnswer: -78*y**2 + 364*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/3 (c) 4 (d) 23 (e) -1 (f) 41.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71777 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from vvvvppibppvbvpvbvp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-15)*(-15 + 5). Let h = j - -24. Solve -4*p = -d - 11, 3*d + d - p = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + (-266 - -66) - -40.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 9 = 3*c - 15, -3*f + 54*c = -51*c + 110*c - 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.75 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 54.96. Let x = 0.04 - r. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 114*a. Let w(j) = -62*j. Let m(c) = 6*u(c) + 11*w(c). Let y(p) = 1017*p**2. Give y(m(b)).\nAnswer: 4068*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 4605539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 2.49?\nAnswer: 1.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -5.85. Let u = x + 0.1. Let t = u - -3.05. Which is the closest to 0.1? (a) -6\/7 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1387 + -955. Let l = n + -298. What is the highest common divisor of 67 and l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 100011010101010000001011?\nAnswer: 100011010101010000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 10*r**2 + 40*r - 6. Give o(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 + 187. Suppose y*o + 5 = 9*o. Calculate the smallest common multiple of o and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 7. Let n be r(4). Suppose -f = m - 3, -3*m = f - 6*f - n. What is the second derivative of 3*b + 4*b - m*b - 5*b**3 - b**3 wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1*1 + sqrt(66) - (-2*sqrt(66) + sqrt(66))*-3)*4)\/((sqrt(384) - 3*1*sqrt(384)) + 3*(sqrt(384) + sqrt(384)*-2 - sqrt(384))).\nAnswer: 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 108?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 52*f**2 + 189*f - 143. What is m(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -80*t + 86*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 1 + 2*v**5 - 4 + (-3*v**2 + 3*v**4 + 3*v**2)*(-167*v + 82*v + 89*v) + 2*v**5 + 3*v**5 - 4*v**5 + 4*v**3 - 2*v**5 - 4*v**3.\nAnswer: 13*v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*j + 2731 + 5129 = 174*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 295*m**2 + 4495*m - 4205.\nAnswer: 5*(m - 29)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-z + 0*z + 3*z)*(0*z**4 - z**4 + 2*z**4).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**2 - 14 - 14 + b - 3*b + 3.\nAnswer: 35*b**2 - 2*b - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 399, -1.3, -50, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322995452 divided by -6?\nAnswer: -220499242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15654, -31335, -47050, -62799, -78582, -94399, -110250?\n\"Answer: -17*k**2 - 15630*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19584 (base 11) to base 13.\nAnswer: c584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.46. Let j = -0.4 - -0.2. Let t(s) = -s + 4. Let q be t(0). Sort j, q, l in ascending order.\nAnswer: l, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812 and 348.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 3. Let m = 20 + -55. Let a = -31 - m. Calculate the remainder when 10 is divided by g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5271951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17406 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z + 35. What is c(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 15 = 4*v. Let w(d) = d**3 + 4*d**2 - 5*d. Let a be w(v). Put a, 2\/7, 0.13 in decreasing order.\nAnswer: 2\/7, 0.13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 44*h**2 - 81*h - 21. What is the remainder when u(42) is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 19*v**2 - 6*v + 11. Suppose m - 3 - 5 = 0. What is the smallest common multiple of m and t(6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/2 (c) -0.12 (d) 4 (e) -3 (f) 37\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 11}. What is prob of picking 3 j and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*w - 0*w + 23, -2*w = -4*z + 20 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1322574 - 4?\nAnswer: -1322578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 12*b = d + 7, 3*b = -4*d + 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0992 and 12693.\nAnswer: -1259.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.261*-891615\nAnswer: 232711.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 558*q**3 - 4*q**2 + 42*q + 623. Let i(k) = 1117*k**3 - 7*k**2 + 77*k + 1244. Let s(y) = -6*i(y) + 11*v(y). What is the derivative of s(n) wrt n?\nAnswer: -1692*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -7, 4\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -139, -2 in descending order.\nAnswer: 90, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(468) + (sqrt(130) + sqrt(130) + (4*sqrt(130) - sqrt(130)) + sqrt(130))\/sqrt(10) + sqrt(13).\nAnswer: 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:37 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 2*n - 2. Let c(g) = -g - 20. Let y be c(6). Let a = -24 - y. Let t(l) = -l**3 - 7*l**2 - 4*l + 5. What is a*t(b) + 5*u(b)?\nAnswer: -2*b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let b(x) = -10*x + 4. Let p(o) = b(o) + 3*s(o). Let r be (3 - 0)\/3 + -22. Let j = -20 - r. Give p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74645 is divided by 74148?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 6 + 2 - 8*k + 2 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/170160 and -89\/136128.\nAnswer: 680640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.91 + -17.91. What is the third biggest value in 0.39, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-68) - (-18)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3186)\/4*36800\/84. Let z = m + 348286. Let v = z + 655. Find the common denominator of v and 45\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**3 - 2*h**2 + h + 2. Determine w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b - 52 = 0. Suppose -2*n = -3*w + 2*n + b, 5*n = w - 8. Solve 2*m = -3*m - 4*y + 21, -5 = w*m - 2*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 3*n + 27. Let t be p(5). Calculate the highest common factor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6*42\/(-4). Let v be (-119)\/z + 3\/4. Solve -11 = l + 3*k, 3*l + 0*k = -2*k - v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455 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: Simplify sqrt(40)\/(4*sqrt(16)\/sqrt(2)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17022*r - 16452*r + 33420*r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 583, 579, 573, 565, 555, 543?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369084.\nAnswer: 2, 3, 17, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/(o**(1\/2)*o))\/o))\/o*o**(-1\/7)*o*o)\/(o*o**(-3\/5)*o**2))\/(o**(3\/2)\/o**(-3))**(-1\/8) assuming o is positive.\nAnswer: o**(851\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.2408 to 1 dp.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 34581\/2 and 0.77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9744267 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-4\/7)\/m)\/m)\/m**(1\/12))\/(m\/(m\/(m\/(m\/(m*m\/((m*m**0*m)\/m))*m))*m))**(-42))**(-9) assuming m is positive.\nAnswer: m**(11253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2600*b**3*h - 2*b**3 - 414*b**2 + 107146589*b*h wrt b.\nAnswer: -15600*b*h - 12*b - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*w + 58603*d*w**2 - w**2 - 1566*w - 25 wrt d.\nAnswer: 6*d*w + 58603*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 918*l + 381*l**2 + 95*l**2 + 270*l**2 wrt l?\nAnswer: 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, -1715, -7000, -17485, -34904?\nAnswer: -60991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00836791104 to 5 dps.\nAnswer: 0.00837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2192 and 44540.\nAnswer: 97631680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*s**3 - 415*s**3 - 591*s**3 - 434*s**3 + 1976*s**3.\nAnswer: 117*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -115. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 15) in base 14?\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-8) - (22 - 19))*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -21, -0.048, -0.6?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/60 + 5*o**4\/12 - 8*o**3\/3 - o**2. Let q be j(-11). Let f = q - -9. Solve i - 5 = -f*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*(-1)\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -114*g + 148. Let q be j(16). Let h = q - -25144\/15. Factor h - 2\/5*u + 2\/15*u**2.\nAnswer: 2*(u - 2)*(u - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -666, -1525, -2768, -4395?\nAnswer: -6406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24500 is divided by 345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*m**3 - 5*m**3 - 37*m**3 - m**3.\nAnswer: -207*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 544120 + 544120.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/323 = 27729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 5 - 5 + (113 - 9*k - 113)*(-13*k + 16*k + 7*k).\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23089846.\nAnswer: 2, 13, 139, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 24*w - 66. Solve -10 = r + w*q, 7*q - 2*q = -10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -22121?\nAnswer: -22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 467*(-4 + (-5)\/2)*(4 + -6). Calculate the highest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*m**5*v + 772*m**5 - 31*m**2*v + 7*m**2 + 194 wrt m.\nAnswer: 1800*m**2*v + 46320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 14*v**3 - 96*v**2 - 11*v - 9. Let l(z) = 8*z**3 - 48*z**2 - 6*z - 5. What is 3*i(j) - 5*l(j)?\nAnswer: 2*j**3 - 48*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: (23*6\/414)\/(3\/(-81))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j**2)*(8 - 8 + 5).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbbrrrbbbbrbbrbr. Give prob of picking 2 b and 2 r.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 20, 12*v - 69 = 10*v + 31*s + 67 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 407, 394, 381, 368, 355, 342?\n\"Answer: -13*b + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/119*(16450\/(-40))\/5?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -4 + 8\/(-4) - 428\/(-107). Let o(w) = -2*w**2 + 2*w - 17. Let k(x) = -1. What is c*o(t) - 4*k(t)?\nAnswer: 2*t**2 - 2*t + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1500)*-1 - sqrt(1500)) + sqrt(1500) + sqrt(15)))\/(6*(sqrt(24)\/sqrt(4))\/sqrt(2))*6 + -3.\nAnswer: -3 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*k - 2. Which is the closest to -3? (a) 0.1 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -u - u - 11, -2*v + 11 = -5*u. Let d(p) = -4*p + 1. Let l(w) = -w. Determine u*d(m) + 2*l(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**4\/18 + 5*f**3\/4 + 5*f**2\/6 - 4*f + 10. Let u(x) be the first derivative of i(x). Find l, given that u(l) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cywwwcsytyiwwwysssii. Give prob of sequence yi.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.86581 times -6?\nAnswer: -437.19486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 5*c**3 - c**3 + 4*c**3 + 0*c**3 - 2 to the form q + m*c**3 + p*c**2 + l*c and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 + 1002 = 12*k + 501. Sort 1, -28, -4, k, -5 in ascending order.\nAnswer: -28, -5, -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 6*h + 2. Let x be l(-6). Let r(y) = -4*y + 2*y + 6*y + x*y. Let t(n) = -n. Determine t(r(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/180 + 11*x**5\/45 + 25*x**4\/12 - 504*x**2 - 1. Determine b, given that l(b) = 0.\nAnswer: -3, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3*h - 13*b**3 - 859*b**2 - 9014*h - 22 wrt b.\nAnswer: 6*b**2*h - 39*b**2 - 1718*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/15 - f**3\/2 - 98*f**2. Let l(r) = -92*r**2 - 68. What is -6*l(s) + 136*q(s)?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = -2*j, 0 = 5*b + 4*j - 35 - 8. Calculate the remainder when -30*((-36)\/15 + 2) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (828\/(-460))\/(((-3)\/190)\/1). Solve 126 = -4*j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14032 or 1?\nAnswer: 14032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(16)\/sqrt(72)))\/((-1*sqrt(324) - sqrt(324)) + -2*sqrt(18)\/sqrt(2)) + -3 + -1.\nAnswer: -4 - 3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d**2 - 5 + 5 + 14*d**2. Let l(o) = 2*o**2. Calculate h(l(s)).\nAnswer: 120*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1254909*g + 1255001*g + 2484 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165426?\nAnswer: 2, 3, 79, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851970 is divided by 617310.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -81096, -162193, -243290, -324387?\n\"Answer: -81097*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 - 370*y + 375 = 0 for y.\nAnswer: -75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(24\/(-6) + -7) - -1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*b**5 + 3306*b**4 - 12996*b**3 + 11256*b**2 + 2496*b = 0. What is b?\nAnswer: -104, -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 2*g**2 - 4*g - 4. Let v be m(-4). Let i = -50 + v. Let u = 9 + i. Solve -5*l - 2*p = -21, u*p + 2 = 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.58327 + 0.04547. Let g = c - -0.0378. Put -10, g, -3, 2\/7 in descending order.\nAnswer: 2\/7, g, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24978.52mg in kilograms?\nAnswer: 0.02497852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/5)*p))\/(p\/p**(2\/3)))**(-2\/37)*p**(-2\/5)\/p**(2\/17)*(p**(-5)\/p)\/((p*p**(1\/5))\/p*p) assuming p is positive.\nAnswer: p**(-14570\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-28))**14*(m*m\/(m\/(m**(2\/5)*m))*m*m)**(-7)\/(m**4\/(m\/(m\/(m*m**(4\/7))))) assuming m is positive.\nAnswer: m**(-8023\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -3) + 20 + -3. List the prime factors of (-4)\/l + (-2704)\/(-56).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-128)\/(-468) - 4\/18. Let x = r + -12\/65. Which is the nearest to -1\/4? (a) -3\/2 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.592 plus 491.6?\nAnswer: 492.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/115)\/((-7)\/(70\/4))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.898468 centimeters?\nAnswer: 68.98468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10072906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caii when four letters picked without replacement from ccacciiaici.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snynnwvdnvdndds. What is prob of sequence ywd?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x - w + 844 = 0, -2*w = x - 204. Let z = x - 209. Solve -4*b - 5*q = z - 4, -5*q - 15 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92\/5*10\/4. Let c = 70 - g. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3247*z + 23250. What is d(-8)?\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 288*b**2 - 5443*b + 19890 = 0. Calculate b.\nAnswer: -306, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-78390)\/40)\/(-9) + (-6)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnnnenn. Give prob of picking 1 n and 1 e.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4904 - 4431. Calculate the remainder when f is divided by 63.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6399 divided by 237\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122873?\nAnswer: 19, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12692, 12683, 12674, 12665, 12656, 12647?\n\"Answer: -9*o + 12701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 26672\nAnswer: -31\/13336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3422220, -3422227, -3422234, -3422241, -3422248, -3422255?\n\"Answer: -7*j - 3422213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-48747)\/27). Let y = t - -3103580\/113743. Let f = y - 27. Which is the second smallest value? (a) f (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*q - 7. Let z(w) = -5653*w + 16. Is z(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(26\/13)\/(3\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1954*s + 641. Is l(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30769 is divided by 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*(sqrt(121) + 2*sqrt(121) - sqrt(121) - sqrt(121)) + sqrt(121) - sqrt(121))\/sqrt(11))*-6.\nAnswer: -36*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 620 - 624. Let w(y) be the second derivative of -y**3\/6 - 3*y**2\/2 - y. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14061242.\nAnswer: 2, 13, 433, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011100001110000 + -100?\nAnswer: -10010011100001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 - (-7 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 i when three letters picked without replacement from vlgonlgi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -2 (b) 23 (c) -125 (d) 2\/17 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b4a7 - -41?\nAnswer: 9b518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 30 = -11*m. Suppose -m*r = -4*r - 2*v - 370, 3*r = -3*v + 537. What is the remainder when r is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**1)\/f*f*f**9)\/(f\/(f*f**3)*f**(-4)) assuming f is positive.\nAnswer: f**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3239144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -89*i + 8. Let n be (-10 - 1\/(-1)) + 4. Let w be a(n). Suppose -w = -5*p - 3*j, -2*p + 6*j - 4*j = -194. List the prime factors of p.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(3*d + 3 - 3)*(-1 + 0 + 8)*(2*d + 5 - 5).\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21019 + 21039. Let j be 3 - 2 - (-1 - 0). Solve -z + 3*q - y = 0, z + 5*q - 10 = -j*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(208) + -1)*-2)**2 - (3 + (2 + sqrt(208))**2)).\nAnswer: -48*sqrt(13) + 622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -23. Let q(y) = -y**2 - 7*y + 7. Let z be q(k). Calculate the greatest common divisor of 39 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134 - -635. Suppose 0 = 5*y + 5*r - 825, -3*r + o = 3*y - 2*r. Let x = y + -119. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 10*b - 19. Determine h(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -49*a**6\/6 + 531*a**2\/2 - 608. Find the second derivative of v(i) wrt i.\nAnswer: -980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -50 and -549.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (9 - -2) - -12) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l + 5*l - 24*l)*((-2*l + 0*l + l)*(3 - 1 - 3) + 66*l - 158*l + 44*l + 2*l + 2*l - 5*l).\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 16a80?\nAnswer: 16a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25662013 and 178321.\nAnswer: 282282143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u**3 - 2140*u**2 - 71288*u + 17956 = 0 for u.\nAnswer: -67, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -368. Let b = g + -80. Let l be (-150)\/(((-6)\/b)\/(-1)). Round l to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14179, 28384, 42615, 56884, 71203?\nAnswer: 85584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1671, 1638, 1591, 1524, 1431, 1306, 1143, 936?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3495305.099942 - 3495174.1. Let g = k - 131. What is g rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760903 and 831402?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(15\/1239)*(-25)\/((-2100)\/12)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35943212 divided by 8985803.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 4*h + 8. Let l(y) = -8*y**2 + 7*y**2 - y + 2*y. Let u(c) = -f(c) - 4*l(c). Calculate u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -12) + -3 - 1. Suppose 0 = h*j + 2*u + 8, 0 = -j + u - 5*u + 4. Let s(y) = -y - 4. Calculate s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 222. Let c = 305 + w. Suppose -2*y = -2*d - 286, -6*y = -3*y - 5*d - c. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 5*d - 2453*d**2 - 2451*d**2 + 4902*d**2. Calculate g(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 = -123*s + 117*s. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 5595320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -601.9337 + 602. What is a rounded to 3 decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4537942.563536 and 27?\nAnswer: 4537915.563536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let f be (4\/3)\/((-1)\/(-3)). Let t(x) = 6 - f - 2 + x. Calculate s(t(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*v**2 + 34*v - 76*v + 41*v + 694*v**2 in the form g + p*v + i*v**2 and give i.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1153*a**9\/84 + 1277*a**5\/15 - 1550*a**2. What is the third derivative of y(m) wrt m?\nAnswer: 830160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w + 26*w + w. Let z(n) = 22*n**2 + 48*n + 64. Let x(l) = -7*l**2 - 15*l - 20. Let c(g) = -16*x(g) - 5*z(g). What is j(c(f))?\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7976, -7991, -8006, -8021, -8036?\nAnswer: -8051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**3 - 2*t**2 - t. Let i be m(-1). Suppose 3*q - 4*y = q - 100, i*q + 2*y = -190. Calculate the common denominator of 2\/5 - 574\/q and 23\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11113 - 0.1116275. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/2 + 4\/5. Let z = -5195 + 5198. Which is the nearest to z? (a) u (b) -0.4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*x + 1 = j, -2*x = j - 1. What is the tens digit of (-1)\/(-1) + 9\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7320 by 2.\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z**4 + 15095727*z**5 - 5064*z**2 - 7460*z - 15095728*z**5 + 1556*z + 823*z**3 = 0. What is z?\nAnswer: -41, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - h - 24 = 0, -3*w + 2*h = 4. Let x be ((-16)\/22)\/w - 0. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/1*123. Suppose m = 4*t + 2*z - 43, -t = z - 22. Solve -t = -6*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 5*sqrt(84))*-2*5*-3)\/(-3*((sqrt(1200) - (6*sqrt(1200)*4 - sqrt(1200)) - sqrt(1200)) + sqrt(1200) - sqrt(1200))).\nAnswer: 6*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285.9 + -280.9. Sort -2, j, -0.5, 8 in increasing order.\nAnswer: -2, -0.5, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*k - 6*z + 38, -2*k + 24 = 4*z. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*a = a - 1, 5*x - 3*a = 11. Let q be (-3 + 5)\/(x\/(-6)). What is the second biggest value in q, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 1, -22*d + 8 = -17*d + 3*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from wiwiiwi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54513317483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c + 6. Let u = 3 - -2. What is the remainder when k(u) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*f**2*n**2 - 6*f**2 - 2*f*n**3 + n**2 - 20*n wrt n.\nAnswer: -196*f**2 - 12*f*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**7\/1008 - m**6\/120 - 2*m**5\/3 - 5*m**2. Let a(i) be the third derivative of c(i). List the prime factors of a(-16).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) 0 (c) 1\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7794578 and -0.3.\nAnswer: -2338373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-55)\/(-21) - 2) + 46\/(-161). Put -12, x, -1\/4 in descending order.\nAnswer: x, -1\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 392.45 and 4.\nAnswer: 396.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 118109767 from -349506.\nAnswer: -118459273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -6) + 9 + 11 - 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 41036553?\nAnswer: 14\/41036553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380497455 to the nearest integer?\nAnswer: 37155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066679020 to the power of 1\/3, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araarrraarrar. What is prob of picking 2 a?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90 + 826 - 363)*(-r + 3*r - 4*r).\nAnswer: -1106*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0766 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24491165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260) + sqrt(1260)*-1 + sqrt(1260))\/(sqrt(700) - (sqrt(700)*-2 - sqrt(700))) + (sqrt(5) - (-3 + sqrt(245))) + sqrt(20)\/sqrt(4) + -3.\nAnswer: -97*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a centimeter in millimeters?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 37*j**6\/30 - j**5\/30 - 113*j**4\/12 - 126*j**2. What is the second derivative of a(k) wrt k?\nAnswer: 888*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:14 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199\/2 + 100. Which is the closest to -1? (a) u (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (5 + 0 - 2). Suppose -2*a + 1 = j*r, -a = 3*r + 2*r + 3. Solve 4*k = 2*s + a*s, 2*k - 4*s = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/(-1085)*-5*105\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 4 (c) 2.3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*p + 14 = 0, -21*w = -23*w + 3*p - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.614*-191.\nAnswer: 117.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -14. Suppose -l*k = -k - 35. Solve 3*q + 8 = -k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, q: 1, p: 2, o: 10}. What is prob of sequence qjj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78898*n**2 + 20878*n wrt n?\nAnswer: -157796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 4.025.\nAnswer: 20.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 2, v: 1, k: 1, i: 2}. What is prob of sequence ki?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - -11) - (-1 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 176519.537.\nAnswer: 176519.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-25)*(-5)\/2. Let m = 17 - 22. Which is the smallest value? (a) m (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.13? (a) 0.1 (b) -5 (c) 2 (d) -11 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 331 - 397. Let w(q) = -15*q - 13. Let z(x) = -7*x - 6. Determine l*w(o) - 13*z(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163176 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -7 + 2. Let t be 114\/27 + 0 + (-2)\/9. Suppose t = 4*i - 4. Put i, v, 3 in decreasing order.\nAnswer: 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b*(b*b*b\/((b**7*b)\/b)*b)\/b*b)\/(b**0*b)**(-1) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732414048 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0*o + o + 4*o - 2*o. Is 9 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 6*o**2 - o + 2. Let p(m) be the third derivative of -m**5\/60 + m**4\/24 + m**2. Let z(q) = -j(q) - 3*p(q). Suppose 0*x - x - 3 = 0. Give z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -148, 7\/32, -0.3 in decreasing order.\nAnswer: 24, 7\/32, -0.3, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 2943803.\nAnswer: -20606621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x = 136. Let v be x\/(-14) + (-16)\/(-28). Solve -5*p + v*p = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -31. Suppose -25 = 3*k - 2*k. What is the units digit of (l\/k)\/((-1)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*t = 26, -t = -2*s - 0*t + 21. Suppose 3*g - 3*k - 33 = 0, -1 = 3*k + 8. Calculate the highest common factor of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 - 86 + 34 - 2381*s - 3231*s in the form r + u*s and give u.\nAnswer: -5612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 111.977 and 26361?\nAnswer: 26249.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/312 - 54\/(-16)*((-2600)\/330 + 8)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -638 - -8296\/13. Let d be ((-225)\/(-1500))\/(2\/(-5)). Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-8)*2\/3. Is -62 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60, 150, 226, 282, 312, 310?\n\"Answer: -d**3 - d**2 + 100*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 10, -2*t - 2*r = r - 3043985. Round t to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -950426 or -950479?\nAnswer: -950479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20244 divided by -5061\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*d**4 + 15085*d - 60352729 wrt d?\nAnswer: -256*d**3 + 15085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3 + 873*c**2*h + 4*c*h - 2*c + 144972*h wrt c.\nAnswer: -9*c**2 + 1746*c*h + 4*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15440*z + 169595 = -231845 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 29*i**3\/3 - 1116. Let x(z) = -2*z + 25. What is a(x(q))?\nAnswer: 116*q**2 - 2900*q + 18125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.944785 to 3 dps.\nAnswer: 1.945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 + 0 + 5 - 3 + 3*r in the form p + k*r and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-3))\/((-52)\/(-104)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -0.07 (c) -3\/1040 (d) 5 (e) -0.3 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**3\/g)\/g))\/(g**(2\/13)\/g)*g**9\/(g*g\/(g**5*g))*(g**(-7\/5)\/g**4)\/(g**(3\/7)\/g**5) assuming g is positive.\nAnswer: g**(5468\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3800 divided by 2?\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(864))\/(-2*sqrt(392)).\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-5\/3)\/d*d)\/d)\/(d*d**16*d))\/(d**3*d)**(-1\/10) assuming d is positive.\nAnswer: d**(-289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - 1\/(-2)*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104853.5 decades in years?\nAnswer: 1048535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - -0.02. Let m = x + 0.01. Let g = m - -2.99. What is the second biggest value in -1, g, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -500, -1024, -1582, -2192, -2872, -3640?\n\"Answer: -3*o**3 + o**2 - 506*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 29 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 3. Let a(p) = p**2 - 1. Let c(g) = -a(g) - l(g). Let x be c(2). Let b = 17 - 12. Solve 0 = -3*r - 9, x*n + 0*n + 11 = -b*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -409 - -403. Let o be c + 1 - (1 - -8)*19. Which is greater: o or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 + 407. Suppose 2*y + 439 = x - 256, t = x - 4*y. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = i + u, -3*i + 32*u - 9 = 28*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 574 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*w + 24 + 3 = 0, 2*w + 9 = -d. Put d, -1\/30, 4, 15, 2\/11 in ascending order.\nAnswer: -1\/30, 2\/11, d, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/7, -5, 0.07, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -986610 or -986609?\nAnswer: -986610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5327108 divided by -14.\nAnswer: -2663554\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272 by 88.\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-26 + 30)*(((-68)\/72 - 4) + 5)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127166697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*b - 5*n, -9*b + 375*n - 189*n = 182*n + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62447209 + 25903337. Let v = l + 36543870.0799901. Let a = v + 1.92. Round a to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77204 + 5208 = -44*w. Let a be ((-23279)\/(-87))\/(2\/(-14)). Let p = w - a. Is p at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1436184 divided by 2\nAnswer: 718092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, -1\/5, -84\/29, 0.2, 3 in increasing order.\nAnswer: -84\/29, -1\/5, 0.2, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 7*u**3 - 17*u**3 + 418 + 32*u**2 + 13*u**3 - 9*u - 391. What is v(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2038, 0.3 in descending order.\nAnswer: 0.3, 2\/17, -2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 16*y**2 - 16*y - 7. Calculate j(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5334\/29 + -41734\/377. Let m = -14049\/208 + v. Let u = -6689\/370 + 236\/37. Calculate the common denominator of m and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.715 - 367.285. Let s = 367.9 + g. Which is the nearest to -2\/5? (a) 0.1 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c + 9. Calculate h(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4210138 + 7160138. Let b be (-2)\/4*0\/(-1). Suppose 0 = 5*s - b*s - g. Round s to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 10*h + 33. Let x(i) = 2*i + 11. Let k(p) = -2*c(p) + 6*x(p). Let w(n) = -n**2 - n. Suppose -3 = -3*l - 0. Give l*k(b) - 8*w(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58072 is divided by 58062?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -570 + 11401\/20. Let p(d) be the second derivative of -3\/10*d**2 + 1\/10*d**3 + s*d**4 + 0 + 7*d - 3\/100*d**5. Factor p(i).\nAnswer: -3*(i - 1)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1490 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/232, -2\/3, -456 in ascending order.\nAnswer: -456, -2\/3, 3\/232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2\/(-24))\/1*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2 + -1)**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose l + 4 = 4*j - l, -j - 2*l - k = 0. Suppose j = -t + 4 + 3. Solve -t*f + 3*f = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292366457*z**3 - 268263596*z + 2?\nAnswer: -1754198742*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 452*l - 8738. Calculate c(16).\nAnswer: -1506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqqpjqqjjqqqqqqjjqj. What is prob of picking 1 p and 1 q?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2838 + 2838 + 7*f**2. Let x(d) = 39*d. Calculate t(x(n)).\nAnswer: 10647*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 8*n - n. Let w(j) = -2*j**2 + 73. What is g(w(z))?\nAnswer: 4*z**2 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -7*x**5\/6 + 7*x**4\/12 + 7*x**3\/3 - x**2 - 205*x. Let h(k) = 23*k**2 - 5*k - 5. Calculate 14*h(f) + 5*j(f).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3043*n**5 - 1304*n + 2.\nAnswer: -60860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80628130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 - 20*a**3 + 2*a**3)*(272*a - 202*a + 264*a).\nAnswer: -3674*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, p: 2, f: 2, v: 1, m: 1}. What is prob of picking 1 m and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 15*w + 2*m = 1158, w - 591 = m. What is the greatest common factor of 2210 and w?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284549257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.38 - 34.6. Let a = d + -2.78. Put 4, -16, a in descending order.\nAnswer: 4, a, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((sqrt(7) - sqrt(1008)) + sqrt(7)) + (sqrt(63)\/(sqrt(729)*-2 + sqrt(729)))**2 + 3.\nAnswer: -sqrt(7)\/10 + 250\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 10:10 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*i = -2, -3*h - i + 6 = -2. Suppose h*p + 3*a = 2*a + 187, -2*p + 3*a + 199 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 12*q - 3\/2*q**2 + 135. Calculate m(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124707, -124706, -124705, -124704?\n\"Answer: s - 124708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 + 38*n**2 - 354*n wrt n.\nAnswer: -24*n**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z - 29*z = 408. Calculate the highest common factor of 138 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:28 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 654.0387 + -654. Round a to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3033 + 3028. Put 3, 0.03, u, 2 in decreasing order.\nAnswer: 3, 2, 0.03, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 12. Let v be m(-10). Let n(q) = -270*q - 9. Let w(k) = -1351*k - 44. Let a(c) = v*w(c) + 11*n(c). Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3815573 is divided by 82924?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.069 + 2.069. Sort k, 0.3, 3\/7 in decreasing order.\nAnswer: k, 3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 5, -0.2, 0.8807, 15 in descending order.\nAnswer: 74, 15, 5, 0.8807, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 - 4*z**3 + 5*z**3 - 2*z**3 + 3*z**3 + 0*z**3 + (-z - 2 + 2)*(-2*z**2 + 0*z + 0*z) + 0*z**3 - z**3 + 4*z**3 - 3*z**3 + 2*z**3 + 0*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00310394 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -247 + 247. Which is the second smallest value? (a) -5 (b) g (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 2 (c) -5 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnhnnhnnnhnnhh?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -27 + 35 + -1 + 8 + -114.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35986597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 168 = -2*d + 6*d, -d - 3*u + 46 = 0. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 6. Let w be (3\/(-4))\/(v\/20). Suppose w*f - 17 = 16. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17551960?\nAnswer: 2, 5, 29, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 330479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -727 (base 16) to base 12.\nAnswer: -1087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Suppose -2*c = -0 - 4. Let r be c\/2 + (-2)\/(-2). Solve y + r = p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t**3 - 4*t**3 + 0 + 3 + 26*t**3.\nAnswer: 51*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1426215 and -95\/20537496.\nAnswer: 102687480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92304?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 395\/462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424*j + 1376*j = 480 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.44, -1, 2\/559?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12875323 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/22 (b) 1\/2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -0.15, -404, -1, 4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*a - a - 8 = 0, 2*a - 20 = -4*k. Which is bigger: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67592 is divided by 22514.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/(5*16\/(-160))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjju when four letters picked without replacement from jjbnu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3691 and 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17228.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.103 and 157428.\nAnswer: 173643.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/9 + 8*g**2\/3 - 22*g + 36 = 0.\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37796.25 months in decades?\nAnswer: 314.96875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/2 + 66137*z**3 + 4374102769*z**2\/2 = 0.\nAnswer: -66137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 1223321?\nAnswer: 1223310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 minutes before 10:47 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1581*g**2 + 111*g - 4. Let l(m) = 395*m**2 + 27*m - 1. Let o(s) = 9*l(s) - 2*v(s). What is the second derivative of o(a) wrt a?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2856 and -83\/280594860.\nAnswer: 561189720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 194*m**2 + 384*m - 1243. Determine q(-196).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*-32*(-54)\/6912?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88559 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41576192 a multiple of 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12054*m + 53200 = -10534*m for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = t - 6*t + 5*a, 2*t = -2*a - 8. Calculate the remainder when (-204)\/t - -1 - (-3)\/9 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (13\/3 - 2) + (-1333)\/(-4836)*-13\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 1, m: 3, g: 7, x: 1, f: 4}. What is prob of sequence mxg?\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 16\/3. Which is the closest to 0? (a) -6 (b) j (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 1. Let q(c) = -c**3 - 15*c**2 + 42*c + 19. Let n be q(-17). Let o = 114 + n. Put 0.1, o, r, 3\/2 in descending order.\nAnswer: 3\/2, 0.1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*w - 14, 4*i + 4*w = 40. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 105191, 210481, 315771, 421061?\n\"Answer: 105290*f - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*n = -6, -4*b = -b - 4*n - 17. Let m = 4 + b. Suppose -2*r + 2*c + 48 = 0, -m*r + 2*c + 6 = -66. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 257*r**2 - 2264*r + 263. Calculate o(119).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/3308 and 24\/11.\nAnswer: 36388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 9436*s - 9448*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 3 - 13)*(y - y + 1 - y - 2*y**2).\nAnswer: 190*y**2 + 95*y - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:13 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:36 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*q**3*s + 336*q**3*w**2 - 11*q**2*s*w**2 + 2*q**2*s + 7*q*s*w - 8*s*w + 34*w**2 - 2*w wrt w?\nAnswer: 672*q**3 - 22*q**2*s + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 1.2 (c) -37.284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -961372, -961373, -961374, -961375, -961376, -961377?\n\"Answer: -x - 961371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/(-5) - -11 - -2. Suppose -b*a - 7273 = -7*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16080 divided by 8040.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3736722 divided by 6\nAnswer: 622787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 137. What is the remainder when (i\/1)\/(12\/(-16)) is divided by 0 - (-7 - (-1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4598)\/475 + 2\/25)*50\/15\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242.91 - -243.21. What is the closest to i in 5, 17, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93454509.96000199 + -93454173.96. Let r = s - 336. What is r rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405746*x - 405746*x - 2*x**2 + 12.\nAnswer: -2*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -101, -102, -103?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c - d - 128, 2*c + 77 = d. Let q = c + 95. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -3)*(-1)\/2. Let a be (0 - 29)\/c + 1. Let l = a - -29. Is -1\/9 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147649 is divided by 533.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 374*f**3 + 6 + 950*f**3 + 8 in the form u*f + j + l*f**3 + z*f**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143207815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 - (3 - 4)) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-15))\/((-1918)\/40). Are 0 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7413789*z - 7413789*z + 20544*z**3.\nAnswer: 20544*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -101725*l. Let j(m) = -m**2. Determine j(r(u)).\nAnswer: -10347975625*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let l = z - 1. Find the second derivative of -3 + 3 - r**2 + l*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -937 (c) 0.3 (d) -1\/6 (e) -9820 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 14. What is the nearest to -1\/4 in 0.3, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(44)\/sqrt(4)) - (sqrt(3) + (sqrt(108) + 1 - sqrt(108)) + sqrt(108) + sqrt(108))**2 - 4*(sqrt(3) + (sqrt(12))**2*-1).\nAnswer: -460 - 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*((-147)\/35)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 37.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = -48. What is the second derivative of -6*u - l*u**2 + 11*u**2 - 7*u**2 wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 0 + h - 3436*h**2 + 17*h**4 + 3423*h**2 - 2 + h as v + f*h**2 + p*h**3 + s*h + z*h**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27751 - 7?\nAnswer: -27758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 11*t**2 - 25*t - 24. Give l(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 11, 16, 23?\n\"Answer: p**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 1602 = 83*i - 310 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -136*u - 51. Let k(t) = -4286*t - 3. What is a(k(l))?\nAnswer: 582896*l + 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18754.679 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -4*t + 16, -25 = -5*t. Let b(z) = z**2 + z. Let p(u) = 5*u**2 + 8*u - 7. Let x(m) = -4*b(m) + p(m). Let o be x(-5). Is l >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*o + 29 - 130 - 522 = 0. Let l(v) be the first derivative of v**3\/3 - 7*v**2\/2 - 5*v + 2. Give l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 5*a**3 - 3*a**3)*(2 + 0 + 1) + 5*a - a**3 - 5*a + (-a + 4*a**3 + a)*(-1 - 1 - 3).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 divided by -581.\nAnswer: 139\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 18026*k. Let r(b) = -b + 15. Calculate r(q(o)).\nAnswer: -18026*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**3 + 0 + 0*b**2 + 2*b + 2\/3*b**4. Find the second derivative of j(r) wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 277*c**3 - c**2 + c. Let i be v(-1). Let m = -281 - i. Let z be -1 + (4 - 2) + -5. Sort -7, z, m, 3 in ascending order.\nAnswer: -7, z, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 0 - 155*h + 3 - 2*h**2 + 158*h + 5*h**3 - 1 to the form s*h**3 + o*h + v + i*h**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - d = -5*d + 244 + 162, 2679*f + 3*d - 161 = 2675*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1108 + 1201. Let l = b + -2307.89896. Let x = l + -1.1. Round x to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, 1, 2\/121, 0.5 in decreasing order.\nAnswer: 1, 0.5, 2\/11, 2\/121, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012011913 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (68\/(-28) + (2 - 3))*-28. What is the greatest common factor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-11)\/(-5)*(-15)\/(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -17*w**3\/6 + w**2\/2 - 10*w. Is o(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + ((2*sqrt(114) + sqrt(114) - sqrt(114))*6)\/(2*2*sqrt(6)))**2.\nAnswer: 6*sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*v**2 + 0 + v**2 + 1 wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 164*i + 14 = 178*i - 30, -3*i + 4 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10982, -21912, -32842?\nAnswer: -43772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 3, 11, 25?\n\"Answer: 3*i**2 - 7*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21048.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 124014444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 4*h**3\/3 - 6*h - 6. Differentiate w(j) with respect to j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 12, r: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**7\/1155 + h**6\/165 + h**5\/55 + h**4\/33 + h**3\/33 - 2*h**2. Factor a(f).\nAnswer: 2*(f + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:04 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6495, 6791, 7087, 7383, 7679, 7975?\nAnswer: 8271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 70*y**2 + 12*y - 179. Let l(o) = -o**2 + 27*o + 36. Let u be l(28). Is q(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2141 + 1235 = -4144*m - 768 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 467 + -445. Calculate the lowest common multiple of h and 620.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 43, 1\/2, 0.3, 1\/3 in decreasing order.\nAnswer: 43, 8\/9, 1\/2, 1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqtqjqjtjj. What is prob of picking 1 q and 2 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -62*q + 368. Put -3, -5, 3, 606, q in decreasing order.\nAnswer: 606, q, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxq when three letters picked without replacement from vjjxvxvccqjxjv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 - 18 = 0. What is the least common multiple of 7 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z**2 - 434613*z + z**2 + 5 + 434617*z. Let m(q) = -15*q**2 + 9*q + 11. Determine 9*b(g) - 4*m(g).\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683276019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 12 (b) -0.1 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 1, a: 1, g: 1, v: 1}. Give prob of sequence yyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 391\/202 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 306\/81 - (-4)\/18. What is the second smallest value in 2\/5, -0.48, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:30 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178359?\nAnswer: 3, 59453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:27 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -933*d + 9564. List the prime factors of f(-56).\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - (-76)\/(-16). Let m be (6\/i)\/((-7)\/14). Let z = 1 + 3. Solve z*o = -m - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 270192.\nAnswer: 3\/45032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 2*g**2 + 6*g - 14. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:36 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from qdqdqqqqeeqdeeeqeede.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -574*t**4 + 1149*t**2 + 28993617 with respect to t.\nAnswer: -2296*t**3 + 2298*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 56.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 2. Let m be y(2). Suppose -20 = -9*i + m*i. Suppose l + 21 = 2*l + 4*f, 39 = i*l + f. Solve -5*s + l = 4*r - 0*r, -3*s + 11 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/18*90\/20. Which is the nearest to -1\/3? (a) g (b) 4\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/37)*u**(-1\/2) assuming u is positive.\nAnswer: u**(-41\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/31 - -167\/124. Let g be ((-2)\/3*1)\/1. What is the third biggest value in b, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101838472*o**6 + 24174814*o**2 wrt o.\nAnswer: 12220616640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209419959 to the nearest integer?\nAnswer: 14471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-135)\/(-6)) + 3348\/810. Solve -i*y + 3*m + 1 = 0, 120 = -2*y + 5*m + 117 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 2820, 4982, 7638, 10782, 14408, 18510?\nAnswer: 23082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-108) + 164\/9. Calculate the greatest common divisor of d and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z - 22 = 2*u, -5*z - 28 = 2*u. Let m(y) = 8*y**3 + 6*y**2 - 6*y - 5. Let w(x) = -9*x**3 - 7*x**2 + 7*x + 6. Give z*w(p) - 7*m(p).\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 14*z**2 - 107*z - 11. Give g(7).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*sqrt(208)*2 + -1)**2.\nAnswer: 192*sqrt(13) + 29956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*3 - sqrt(104) - sqrt(104) - (-3*sqrt(104) + sqrt(104))*2)\/((sqrt(6912)*1 - sqrt(48))\/sqrt(6))*-2.\nAnswer: 8*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 3323, 1\/38, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/9 (c) -15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 136*d**2 - 208. Let k(f) = 2*f. Determine k(q(u)).\nAnswer: 272*u**2 - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009405758 rounded to five decimal places?\nAnswer: -0.00941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-713*i - 422*i - i**4 + 929*i)*(-2*i + 3*i + 2*i).\nAnswer: -3*i**5 - 618*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9627 + -66869\/7. Let i = y + -74. Let u = -0.1 + 0.3. What is the second smallest value in u, -1, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5 + 3. What is the nearest to 1 in g, 0.4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:51 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - -224. Let z = u - 373. Which is the second biggest value? (a) 5 (b) 2\/5 (c) z (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -27. Is 18 a factor of 108\/h*(-8)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 208399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2650667 litres to millilitres.\nAnswer: 265.0667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 556*h - 15308. Determine c(27).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59584)\/2240 - ((-6)\/10 + 12 + -12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/3, -111?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142763789?\nAnswer: 23, 157, 593399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 974501606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1 (c) 9643667 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113360, -226750, -340170, -453620, -567100, -680610, -794150?\nAnswer: -907720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1078, -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1031603?\nAnswer: -412641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 32\/5421 (b) -3 (c) -1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-18) + 19\/(-6). Let h(q) = 6*q**2 - q - 2. Let o(p) = -5*p**2 + 1. Give c*h(t) - 4*o(t).\nAnswer: 2*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-172*d + 172*d + 11*d**2)*(1 - 5 + 1) + 10*d**2 + d**2 - d**2 in the form u*d + r*d**2 + t and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432 (base 5) to base 2.\nAnswer: -1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*y**4 + 21576*y**3 + 2746*y**2 - 100?\nAnswer: -384*y + 129456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 5523 + 0*b + 0*b - 79335 + 2*b.\nAnswer: -2*b**2 + 2*b - 73812","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*x + x**3 + 14 - 8*x**2 + 9*x**2 + 2*x + 3*x as b*x + s*x**3 + y + w*x**2 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-15)\/3)\/(-15*3). Is v > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*i - 71 = 24, d + 4*i - 2 = 0. Suppose 3*f + 0*f = -15. Let l = f + 13. Solve -4*x - c = -16, -l = -2*x + 5*c - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -15530?\nAnswer: -15535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120448?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 2 k when four letters picked without replacement from bxxkxvvbuuuubkuxxxxk.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 6, v: 3, s: 8}. What is prob of picking 1 q and 1 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -79, -112?\n\"Answer: -33*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - 3*d - 3. Let y = 9 + -11. Let o be u(y). Is 4\/14 - 2031\/o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 16. Let m(x) = x**3 + 14*x**2 + 21*x - 28. Let c be m(-12). What is p(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3. Let r = -3 + 2. Let x = -4 + 3. Let g(m) = -m**2 + 1. Let o(v) = r*g(v) + x*d(v). Differentiate o(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -14) + 1 + 0. Let o = 29 - x. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.01 + -0.01. Let o = 0.104 + -0.044. Let x = -0.36 + o. Put 3\/7, r, x in ascending order.\nAnswer: x, 3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64859213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4 = -3*o, 3*o - 4*o + 10 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -144*m**3 - 5*m**2 + 1. Let y(c) = -288*c**3 - 9*c**2 + 2. What is 11*h(f) - 6*y(f)?\nAnswer: 144*f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (81\/(-36))\/((-3)\/8). Suppose -2*l - 5*h = -b*l + 79, 0 = 2*l - h - 47. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 52 - 84 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61, -0.1, -1\/9?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(392\/231))\/(3\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -276\/5. What is the closest to 0.1 in -2\/7, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*b + 34, -1 - 7 = 4*y - 4*b. Let f = 17 - 18. Sort -2, f, y in decreasing order.\nAnswer: f, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**2 - 56*p - 161. Calculate w(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 2138906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13000, -26070, -39138, -52204, -65268?\nAnswer: -78330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + o + 48 = 6*o, -5*b = -5*o - 90. Suppose 0 = -t + 29 - 7. Is b bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -387651 times 10?\nAnswer: -3876510","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 26. Let y be (46 - (-7 + d)) + 0 + -3. Suppose z = -0*z + 5. Calculate the highest common divisor of y and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4183, 5, 3 in ascending order.\nAnswer: -4183, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15129 divided by 1681?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -702 in 0.2, -2, 1, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 + sqrt(325)*-1)**2 + sqrt(39)\/(sqrt(3) - sqrt(3)*2) + 1.\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -67\/2. Let i be -1*(-4 + 3 + -2). Let j = -612 - -606. Which is the third biggest value? (a) i (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*12\/(-120))\/(-11).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-2\/5)\/f)\/f)\/f*f*f*f*f)\/f)**(-30)*f**0*f*f**4*f assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 94?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 3842*c**2 + 1912*c**2 + 1930*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - u - 47 = 2*u, -5*t + 165 = -u. Calculate the remainder when 627 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 165185?\nAnswer: -165187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/1302939 and 76\/355347?\nAnswer: 3908817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3a7b (base 14) to base 11.\nAnswer: 276255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23.413, 0, -1 in increasing order.\nAnswer: -1, 0, 23.413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33701, -1, 5 in descending order.\nAnswer: 33701, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -348137364 divided by 4?\nAnswer: -87034341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 293592634 from 0.2.\nAnswer: -293592633.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/9 + (-2)\/6. Let p(u) = -u**2 + 6*u + 5. Let q be p(5). Calculate the greatest common factor of k and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11798073 is divided by 14045.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 7) to base 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a\/(a*a*a*a**(-1\/8)*a*a*a*a))\/(a*(a*(a*a**(2\/5))\/a*a*a)\/a*a*a**(-2\/17))*(a\/((a**(5\/3)*a)\/a)*a*a*a**(-1\/9))**(-15) assuming a is positive.\nAnswer: a**(-58121\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(304) + ((1 + sqrt(19))**2*4 - sqrt(19)).\nAnswer: -9*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 6*z + 9. Let o be k(2). Let b be o\/2*0\/4 + 23. What is the units digit of (-14)\/7*b*2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 3, a: 2, v: 1, g: 2}. Give prob of picking 1 k, 1 f, and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 5*p**3 + p**2 + 0*p**3 + 4*p**3 - 2*p**3 + (-3*p + 2*p - p)*(-4*p**2 + 7*p**2 - 15*p**2).\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377 by -13.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v*v**(5\/3)*v)\/(v*v\/(v\/(v\/v**(3\/5)))*v*v**4))\/((v*v**(-1))**(-1\/45)\/(v**(-4)\/(v*v**(1\/8)))) assuming v is positive.\nAnswer: v**(-463\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -175078?\nAnswer: -70031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 315, 575, 831, 1071, 1283, 1455?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 1. Suppose 2*b + 4 = -2. Let v = b - -4. Calculate the lowest common multiple of x and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d8196 (base 15) in base 2?\nAnswer: -10001000110010100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06111 or -124459?\nAnswer: 0.06111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 257661, 257008, 255919, 254394, 252433?\n\"Answer: -218*f**2 + f + 257878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 15. Let f be 30\/2 - (-4 + 1). Let a = h - f. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 9*p - 4*c + 16 = 0, p - 3*c + 13 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1440 and 70738240.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from mcmhmcmmmhhm?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13)**(-3\/2)*(g**(-8))**(-2\/27) assuming g is positive.\nAnswer: g**(-1021\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 3*s**2 - s - 15. Let v(z) = -4*z**3 + 11*z**2 + 4*z + 60. Calculate 22*o(l) + 6*v(l).\nAnswer: -2*l**3 + 2*l + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**5 - q**4 - 44*q**3 + 55*q**2 - 53*q + 17. Let a(j) = -3*j**5 - 15*j**3 + 18*j**2 - 18*j + 6. Let i(c) = -17*a(c) + 6*g(c). Factor i(w).\nAnswer: 3*w*(w - 2)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 56 = -4*v + 46, 0 = -5*v + 3*c + 119. Let z = v - 27. Suppose 4*g - 8 = -0*g. Put z, -4, g in decreasing order.\nAnswer: g, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1734*n**3 - 3466*n**3 + 73*n**4 - 333*n**2 + 1738*n**3 wrt n.\nAnswer: 1752*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 12 = 8*j. What is the third derivative of 2*z**3 + 2*z**2 - 4*z**3 + j*z**2 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-203) - 4\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 459 divided by 7\nAnswer: 459\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 7*u**2 - 5*u - 7. Let z be p(6). What are the prime factors of 73 + z - (-1 - 3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(46\/3)*4\/6. Let n = 73\/92 - f. Factor 1\/4*o**2 - o + n.\nAnswer: (o - 3)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 - f + 5. Let w be c(-3). Suppose 7*a + w*a - 48 = 0. Solve -19\/2*m**2 - 13\/2*m**3 - 7\/2*m**5 + 10*m + 23\/2*m**4 - a = 0 for m.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*j = 32*j + 145*j - 580 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1392*d + 53. Calculate a(1).\nAnswer: 1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/(32 + (-1916)\/60)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -169. Round l to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*y**2 + 45*y + y**3 - 84*y + 15*y**2 + 45*y to g*y + v*y**3 + b + w*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -161*7\/1610*88\/11*(-2)\/252.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 796849560.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3)*49\/7)\/((-122)\/122)*-13.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:34 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/(-8) - -340 - 8?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:04 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 180, 0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(209) + sqrt(209)*1 + sqrt(209) - sqrt(209))*6 + sqrt(209))\/sqrt(11).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 0.07 (c) 0.06 (d) -0.5 (e) 151 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 34295628.97 to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*b - 1295, -4*v + 7*b = 9*b - 1302. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 2*k + 65. Let s be d(9). Is ((0 - -1)\/(-2))\/(s\/(-892)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770286?\nAnswer: 2, 17, 59, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:53 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6 - 5. Calculate the least common multiple of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnnqqnn. What is prob of sequence qn?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3899b9 (base 12) to base 15\nAnswer: -135583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2269 + 99651 = -20*z. List the prime factors of (-2)\/12 - (-6 - z\/(-48)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 82. Suppose -5*s + 480 = v*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 110338367.0346\nAnswer: -110338366.0346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686 bigger than 4682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 35. Let y = -3 + r. Suppose 5*l + 2*t = -21, -5*l - 3*t - y = 2*t. Let d(u) = u**3 + 5*u**2 - u - 1. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**4 + 7*v**2 + v + 4. Let r(w) = 12*w**4 + 22*w**2 + 4*w + 11. Let n(y) = -4*r(y) + 11*t(y). What is the second derivative of n(a) wrt a?\nAnswer: -48*a**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -62?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t - 2. Let b be 2 - 0\/(-3 + 2). Let f(l) = l**b - l**2 - 3*l - l**3 - 3. Let c = 33 - 36. What is c*g(s) + 2*f(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -78*h + 1. Let p(u) = -392*u + 136. Give 5*g(z) - p(z).\nAnswer: 2*z - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 777561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.999925 - 2. What is h rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7919, 7501, 6361, 4133, 451, -5051?\nAnswer: -12739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*o + 18. Suppose 0 = 2*i - o*i + 65. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-786)\/(-7) + (-104)\/364 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21882, -21916, -21968, -22032, -22102, -22172, -22236, -22288?\n\"Answer: c**3 - 15*c**2 + 4*c - 21872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 8)\/2 + 31. Suppose 5*o - 48 = u. Calculate the smallest common multiple of 8 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*k - 2, -4*k - 1 - 7 = -5*z. Suppose z*r - 2 = 3*r. Solve -r*q - 8 + 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/((-9)\/2) - 210\/90) + 15133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (1 - 2))*1. Suppose -y + 17 = -3*a, 4*y + 5*a + 7 + 10 = m. Solve -j - 3*z + 5 = 0, 4*j - y = -4*z + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -12*r + 11*r. Suppose 3*q + 2*l = 51 - 22, 3 = r*l. Let w be (2\/6)\/(q\/54). Solve -16 = -2*x - w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1452412 and -99\/5642.\nAnswer: 10166884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(28) + (sqrt(28) - (sqrt(700) + -2)) + 1 - (sqrt(21)\/(5*sqrt(3)) + -3 + sqrt(175)))**2.\nAnswer: -672*sqrt(7)\/5 + 22727\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080594253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101 + 100000?\nAnswer: 100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s + 0)*(5*s - 2*s - s)*(-1 + 1 + 2*s)*(-22 - s**2 + 22).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 168. Suppose -w + 5*s - 14 = 0, w - s + t*s = -21. Which is greater: w or -20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1571797 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 * -37830.6.\nAnswer: -310210.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(320) + 1 + -5 + (4*(sqrt(40) - sqrt(80)\/sqrt(2)) + sqrt(40))\/((sqrt(112)\/sqrt(2))\/sqrt(7)).\nAnswer: -9 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, z: 6, f: 2}. What is prob of sequence kff?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 31*i - 10. What is p(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475484 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2220*p - 767. Is l(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199896 divided by -4\nAnswer: -49974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5940 is divided by 3502?\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o - 22. Let f(k) be the second derivative of -k**3\/2 + 7*k**2\/2 + 4*k - 7. Give -14*f(s) - 4*h(s).\nAnswer: 2*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*x + x. Suppose 0 = -15*l + 105*l - 990. What is the remainder when x is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 >= 118146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 769.1 - 826. Let q = g - -56.86151. What is q rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + q + 0*q + 4*q**2)*(705*q + 1097*q + 144*q) to the form i*q + g + m*q**2 + t*q**3 and give m.\nAnswer: 1946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/13)\/n**(-8\/5)*(n\/((n\/n**(6\/5))\/n))\/((n**(1\/8)*n)\/n) assuming n is positive.\nAnswer: n**(1991\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-6)\/(-3)) + 936. Suppose 6*m = u + 175. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 13 + 1 + -15 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 282. Let i be l(-31). What is the greatest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 2*u**2 + 23 - 2*u - 20 - 3*u. What is o(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b7 (base 13) in base 4?\nAnswer: 33203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -514 or -515?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/65))**(-16\/7) assuming h is positive.\nAnswer: h**(32\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8901.\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2. Let n(j) = -j + 1. Let a(q) = -3*n(q) - 2*z(q). Let d(x) = 9*x + 3. Let c(i) = 14*a(i) - 4*d(i). Is 11 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*r - 2*r - 27561, 3*w = -5*r + 16529. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 2. Let q(j) = -4*j - 1. Let h(b) = 5*c(b) + 4*q(b). Is h(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 460 and (21 - 13 - 13) + 235.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*(75\/(-9))\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153)*3)**2*-2 - (-3 + 3 + sqrt(153)*-2).\nAnswer: -2804 + 186*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 9*p**2 - 12. Let v(i) = 5*i**2 - 4*i + 3. Let x be v(1). Let j be z(x). Solve 4*l + t = -t - j, 20 = -5*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -1)*(-24)\/15 - -136. What is the greatest common divisor of u and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-12)\/(-624)*18\/(-42).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 0*s**3 + 5*s**3 + (-3 + 1 + 5)*(s**3 + 4 - 4) + 16*s - 16*s + 3*s**3 in the form r*s**3 + y + f*s + k*s**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*u = -5915 + 18221 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176109209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 24 = 2*r, 0*x = -x + 2*r. Solve i = 5*i + x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011925937 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = 0. Suppose -4*p + 0*p + 8 = x. Solve -b + p = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c + 77?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:54 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 63.22395 milligrams?\nAnswer: 63223.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + -1 + (-5)\/10*(30 + -14). Calculate the greatest common divisor of t and 367.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*d - 2*r - r, 3*d = -5*r + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43363 divided by 3975\nAnswer: -43363\/3975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/27 + (-16)\/(-36). Let k(x) = -x**3 - 6*x**2 - 6*x + 3. Let h be k(n). Which is the biggest value? (a) -2\/7 (b) h (c) -30\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -18599, 195.\nAnswer: -18599, -75, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + h - 2. Suppose 5*d - 4*i - 32 = 0, 8 = -4*d + 5*i + 39. Let v(q) = q**2. Let x(l) = d*v(l) - t(l). What are the prime factors of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(3 + -6)*-1. Suppose 4*f + 35 = -l*d, 5*d - 2*f + 6*f + 61 = 0. Let n = d + 19. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 797 - 287. What are the prime factors of c?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4423857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45529.88ug to grams.\nAnswer: 0.04552988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -43.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.21163363 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 64. Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 9. Let b(d) = 3*d**2 - 8. Let x(g) = 7*b(g) - 6*w(g). What is the units digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(468) + 1*sqrt(468) + 4 + -3*(sqrt(468) + 2) + (0 + -1 + 1 + sqrt(468))**2*1.\nAnswer: -6*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 28900118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from vvi.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-4) - -3)*0 + 3. Suppose -2*u - 18 = -j, -3*u - 39 = j - l*j. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41264 + -27472. Suppose -s - s - i = -4*k, -20692 = 3*s - 4*k. Round s to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26195006*a**2 + 8002138*a wrt a.\nAnswer: 52390012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7148 + -5231. What are the prime factors of o?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (5 - (-3 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-14)\/28)\/((-36)\/(-8)) - 2155986\/(-81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12311*s + 492457. What is a(40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, 46, 119, 212, 331, 482?\n\"Answer: r**3 + r**2 + 49*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 194. Suppose -p*z + 17*z = 15. Put -96, -1, z in decreasing order.\nAnswer: z, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-210) - (-2072)\/4704. Let -3\/4*m + 1\/2 + t*m**2 = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 + m**2 + 2*m - 2. Let l be p(-3). Let f = 206 - l. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5331*v = 5092*v + 956 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**2. Let v(l) = -3*l**2 + 5*l. Let t(m) = 4*m**2 - 7*m. Let p(a) = -5*t(a) - 7*v(a). Calculate y(p(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illlllllellseese. What is prob of sequence see?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, e: 2, m: 1, f: 9}. Give prob of sequence ref.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.1045\nAnswer: -0.01045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 3*j)*(2*j**2 - 5 + 5 + (-1 + 4*j + 1)*(-j + 2*j + 2*j)) - j**3 - 2*j**3 + 2*j**3.\nAnswer: 41*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20833167913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/60 - 11*z**4\/24 - 10*z**3\/3 + 95*z**2. Let j be r(-8). Let v = -4 - -3. What is the closest to v in 0.5, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w + 111*w - 63*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(4\/7)*i**(1\/12)*i**(2\/5)*i*i*i**(-1\/4))**(1\/6))**(-26) assuming i is positive.\nAnswer: i**(-7267\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - k + 7810 = -2*u, 1578 = u - 3*k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*k = 0, 6*k - 4*k = -2*t. Suppose 5*w + 9 + 1 = t. Let x be (6 + -5)\/(w\/(-18)). What is the fourth biggest value in 0, 2\/7, x, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -21.9?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002121101 (base 3) in base 9?\nAnswer: -32541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -37, 7, 5, 0.5, -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 8. Let l(k) = 6*k + 41. Let o(n) = -11*a(n) - 2*l(n). Let r = -1 - -1. List the prime factors of o(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1402059 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 63, 156, 293, 474, 699?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/11 - 10*x**2\/11 - 12*x\/11 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:32 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)\/(2 + 0). Let s be -3 + (1 - b)\/3. Let v be ((0\/(-1))\/s)\/1. Solve v = -5*i - 15, -3 + 9 = -2*f - 4*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 0, -4*p + 4*k = -6*p - 56. Let j = p - -164. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 - (-168)\/(-30). Let v be (21\/y)\/(-1)*(0 - 2). Is (4\/(-3))\/((7\/18)\/v) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878, 1876, 1874, 1872, 1870, 1868?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u - 24. Let z = -45 - -39. Let g be l(z). Suppose -4*r + 8 = -g, -188015 = -4*d - 3*r. What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -28\/9049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.126 - 111.126. Let g = j - -114. Which is the third smallest value? (a) 0.1 (b) 1\/4 (c) g (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 270394, 540813, 811232, 1081651?\n\"Answer: 270419*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -141*-0.028\nAnswer: 3.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62869 and 0.753.\nAnswer: 62869.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -96088*k**3 - 6*k**2 + 8 + 96086*k**3 + 5*k - 5*k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 1. Let b(p) be the first derivative of -p**3\/2 - 3*p**2 - 35*p + 31. Let g(h) be the first derivative of b(h). Calculate -5*d(k) + g(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 3*r**4 + 0*r**2 + (1 + 2*r + 3 - 8)*(r**3 + r**3 + 0*r**3).\nAnswer: 7*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 22. Let t be m(16). Let a = -2181 - t. Let u = -1454 - a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 15, c: 5}. What is prob of sequence cco?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 22*m**2 - 254*m - 1133. Give y(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let y be g(-3). Suppose 60 = -22*a + 82. Calculate the remainder when (-6)\/4*y\/6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223165.\nAnswer: 5, 211, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 g when three letters picked without replacement from gaupnmnp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 3 - 48\/28. Let n(w) = -w**2 - 5*w. Let b be n(-1). Let -x*g + 4\/7*g**2 + 4\/7*g**3 - 2\/7*g**5 - 2\/7 - 2\/7*g**b = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.5? (a) 10 (b) 46 (c) 2\/15 (d) 3 (e) 7 (f) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 4) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10826 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 l when four letters picked without replacement from zzlzzllzzzlzzzzzzzz?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*i**3*s - 3*a*i**3 + 3*a*i**2*s - 17244*a*i**2 + 642712*i**3 - 29*i**2 wrt i.\nAnswer: 6*a*s - 18*a + 3856272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1420)\/(-210))\/((-576)\/(-81)). Let g = 189\/32 + f. Factor 0*k + 0 + g*k**4 - 36\/7*k**3 - 20\/7*k**5 + 8\/7*k**2.\nAnswer: -4*k**2*(k - 1)**2*(5*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -d9?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 6*s + 18. Let n be c(8). Suppose 2*m + 7*o = n*o + 5414, 0 = 4*m - 4*o - 10828. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6153)\/3516*(-104)\/14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2329905 (b) -0.3 (c) 1\/4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + 11. Let a be u\/18 - (-4)\/(-18). Suppose h - a = -0. Let n(s) = s**2 - s - 1. Determine n(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 387*k**3*n**3 + 1794*k**3*n**2 + 14*k**2*n**4 - 9*k*n**2 - n**3 wrt n.\nAnswer: 2322*k**3 + 336*k**2*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 20*d**2 - d - 9. What is i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3210?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -7\/6 (c) 2\/7 (d) 422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 287953*h**4 + 192*h + 1376?\nAnswer: 3455436*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2409*z**4 - z**3 + 1974*z**2 + 2*z.\nAnswer: 57816*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/40)\/((-2)\/(-12)) + -2. Let y be (2\/8)\/((-30)\/232). Let x = -7\/3 - y. What is the biggest value in -2\/13, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10636 + 168?\nAnswer: 10815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34828 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x + 99 + 503 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6 - o + 6 + 8 + 1. What is the units digit of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 4*q - 4, 5*j = -180*q + 176*q + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 76*t - 51*t - 40*t - 127, 324 = -44*q - 2*t for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -182\/7731?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s + 3 - 107. Solve -t = 5*f - 0*t + 13, -f + 5*t = s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-370)\/(-35))*1071\/(-153).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1479\/(-319))\/17*(-3)\/(9\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/1559 - 157729\/46770. Let w = 147\/2 - 70. Let z = w + m. What is the biggest value in -1, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*o = 12. Let m(j) = j**2 + 9*j. Let v be m(-9). Which is the third biggest value? (a) 7 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 - 97*d**3 - 2202*d**2 - 1916*d + 4216 = 0 for d.\nAnswer: -62, -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o + 1. Let n(h) = 3*h**2 + 3*h + 3. Give n(a) - 3*q(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -3, 16, 63, 150, 289?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 3*n + 8. Let f be s(-4). Let c = 32 + f. Suppose 0*t - c*t + 12 = 0. Solve 0 = -t*r + 1 + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40278674, 80557342, 120836010?\nAnswer: 161114678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 32, -20.1 in increasing order.\nAnswer: -20.1, 2\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 3*w**3\/2 + 9*w**2\/2 - 3*w. Let r be f(9). Let j be 35 + (-2 - (-3 - 0)). What is the greatest common divisor of r and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 20*r**2 + 27*r - 26. Let g be i(19). Suppose -t = -3*t + g. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -27. Let v = u - -15. Let b(r) = -r**3 + 4*r**2 + 2. Let a be b(v). Put -4, a, 5 in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 34. Let u(l) be the second derivative of 0 + 1\/20*l**5 + 0*l**2 - 1\/6*l**3 + 1\/3*l**m + 3*l. Calculate u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/8 - 1)*26\/13. Are 0.2 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3882231 is divided by 1421.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327 is divided by 773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*n**2*p**3*y - 5*n**2*p**3 + 3*n**2*p**2*y + 2*n**2*p - 529*n*p*y + 2*y wrt p.\nAnswer: 894*n**2*y - 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8 + 51\/(-12). Is w < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2105.207 micrometers to centimeters.\nAnswer: 0.2105207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 1159072 = 8*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(-5*sqrt(5))**2.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3593919 is divided by 211406?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(54)\/(sqrt(108) + sqrt(108)*2))\/((sqrt(150) - (sqrt(150) - (sqrt(150) + sqrt(150)*5)*1)) + sqrt(150)))**2 + 5.\nAnswer: 1\/132300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13877, -27800, -41831, -56024, -70433, -85112, -100115?\n\"Answer: -9*p**3 - 13860*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4 - -4) + 7 + -5)*2. Let d be 1*(-1 + 0) - -12. Let l be (4 - d)*1 - -2. Put c, 2, l in decreasing order.\nAnswer: c, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.508 and 179458.\nAnswer: -450080.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.7 (b) -3\/4 (c) -13.33 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from aiiiiiaaiiaaii.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20, -5*p = -5*q + 21524 + 36511. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19899663071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 5*b, 11 = -b + 10. Suppose -v*d + 6*c + 3272 = 2*c, -c - 1635 = -2*d. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 548 = -506 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2037 + 2036.9996392. Round f to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20421 (base 10) to base 2.\nAnswer: -100111111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-19 - -19) + -16 + 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 5, -0.5, 3.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/109192 and 39\/8.\nAnswer: 109192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 207 = -14*h + 4*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(3 + 20\/(-12)). Let m be (-3)\/(-12) + (-21)\/q. Let k(j) = j**2 - 5*j - 4. Let x(r) = -r - 1. What is m*k(b) - 10*x(b)?\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = -5*h - 2*c, -h + 5*c + 14 = 0. Let y(f) = 6*f + 1. Is y(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 56*o**2 - 682*o + 77. Let s be w(-38). Which is the second smallest value? (a) s (b) -3502 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389 - 389. What is the closest to j in -1\/12, -0.2, -1.3, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 49*i**2 - 59*i - 246. Let d be k(-24). Suppose 6*h - 132 = 4*h. What is the greatest common divisor of h and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6 + -3)*(-6)\/(-4). Let q(s) = -2751*s - 4. Let j be q(w). Round j to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(125) + (sqrt(125) - (sqrt(125) + (sqrt(125) - -2*sqrt(125)*4) + sqrt(125)))**2 - (-1*(sqrt(125) + 0 - sqrt(125))*-6 + -4).\nAnswer: 5*sqrt(5) + 12501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -1448, -3266, -5812, -9086?\nAnswer: -13088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 388*f**2\/3 + 389*f\/3.\nAnswer: -f*(f - 389)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*b = 2092, -2*s + 4*b = -475 - 373. Suppose -5*h = 3*i - 619, i + 4*h + s = 3*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/12)\/5*10\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177264 = 2113*f + 12089 - 77820 for f.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629455.\nAnswer: 3, 5, 307, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 199 + 199. Let a(n) = -33*n. Calculate g(a(k)).\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2\/7 - 1902828*n\/7 - 1902842 = 0.\nAnswer: -7, 951421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7*r)\/r)\/((r**(-1\/4)*r)\/r)*(r**(2\/9))**(5\/4) assuming r is positive.\nAnswer: r**(271\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -1\/30*i**5 + 0*i - i**2 + 1\/4*i**4 + 0 - 1\/6*i**3. Calculate d(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-4) - 12\/(-16). What is the units digit of (i - -1) + 8 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3221\/3 - -1073. What is the fifth smallest value in 0.2, 0.05, k, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9122.27 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - -13 - 988\/68. Which is bigger: -8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/9 + 13\/36. Let s(z) = -z - 5. Let o be s(-9). What is the smallest value in o, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-63) + 205\/7. Let b(o) = p*o - 29*o + o**2. Let i(s) = -s**2 + s - 1. Let z(t) = t**2 - 4*t + 4. Let a(n) = 4*i(n) + z(n). Determine a(b(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-10)*-79)\/(4\/(-10)). Let k = -19 - d. Let z = 1.26 + -0.96. What is the closest to -2\/9 in k, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 1 = 5*z + 5*u, 0 = z + 2*u - 27. Calculate the highest common factor of z and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6 + (-1)\/(-3))\/1 - -19.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 5*p + 2. Let z be j(6). Suppose 11*u - 31*u - 20 = 0. Is 18 a factor of z + -7 + (-35)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + y - 34, -29*z = -26*z - 3*y + 42. Is (-21)\/(-7 - z) - -636 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/2)\/a)\/a)\/a)**(-1\/2)\/(a**(-1))**(1\/25)*((a\/((a*a**2*a)\/a))**(-12))**(-11) assuming a is positive.\nAnswer: a**(-26221\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74790*g**2*v + 2*g*v - 484*g - v + 8 wrt g.\nAnswer: 149580*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23128735103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/7 + 2320824*x\/7 + 448852003248\/7 = 0.\nAnswer: -386804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 (base 14) in base 12?\nAnswer: 3a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572492241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -146, -170, -222, -314, -458, -666?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -4144?\nAnswer: -4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -r - 30, -20*r - 98 = -6*y + 2*r - 5*r + 104 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/8, -3, -4\/9, -4, 969 in descending order.\nAnswer: 969, -1\/8, -4\/9, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 5, x: 5, n: 1, f: 2, m: 2}. Give prob of picking 2 n and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-3 + sqrt(300)) + 0 - 5*(-5 + sqrt(300) + sqrt(300) + (sqrt(300) - (2 + sqrt(300)*3 - sqrt(300)))))**2.\nAnswer: 340*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a6 (base 15) in base 8?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 97*z**2 + 46*z - 129. Determine y(-49).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482 - -2270. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56274697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27892751881 and -4656.\nAnswer: 27892747225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12539, 0.6, -1\/7, 16 in decreasing order.\nAnswer: 16, 0.6, -1\/7, -12539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:48 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22650920917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340.77171 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*l + 42*l - 55010. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**3\/3 - 5*g**2\/2 + 4*g + 63. Let p be b(-5). Solve 4*f - 2*w = 2, 2*w - 5 = 3*f - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-18))**(-3\/25)*(v**10\/v*v)\/(v*v**(-2\/17)))**25 assuming v is positive.\nAnswer: v**(4793\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 19*c**3\/3 - 3*c**2\/2 + c - 730. Give b(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 953 + -890. Calculate the least common multiple of k and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262 - -179. Let s = j - -82.5. What is the third biggest value in 4\/9, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4950649 - -37753\nAnswer: 4988402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) + sqrt(343) + -4)*-5)**2 + 4 + 3.\nAnswer: -2520*sqrt(7) + 28190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2021 + 2973. Let p = m - 951. Let n be 2 + -1 - 3\/4. What is the nearest to p in 5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p**3 - 41*p**3 - 14*p**3 + (0 + 2*p + 0 + p**2)*(p - 4*p - 2*p) in the form s*p**2 + o*p**3 + q + i*p and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - 2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 6:35 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswssswwsw. What is prob of picking 2 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 5*p**2 + 6*p - 5. Let b be j(4). Factor -8*g - 28*g - 1 - b*g**3 - 18*g**2 - 23.\nAnswer: -3*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*r + 2*r**4 + 1 - 3*r in the form a*r + h*r**3 + k*r**4 + f + u*r**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 51*r**2 - 455*r - 529. Determine s(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*1 + sqrt(1539))*-5 + ((1 + sqrt(1539) + -3)**2 - sqrt(1539)))*-2 - (-5 + (sqrt(1539) - (-1 + sqrt(1539)))**2*1 + -3).\nAnswer: -3079 + 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3019, -1, -37 in descending order.\nAnswer: 3019, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, p: 1}. What is prob of sequence tp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -35. Let x = a - 1. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d1d70 + -8?\nAnswer: 3d1d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = -2*h. Let v be (h\/3)\/((-2)\/12). Suppose -c = -0*c - v. Solve -5*n - 36 = -4*d, c*n - n = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 732227, 732224, 732221, 732218, 732215?\n\"Answer: -3*c + 732230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - (-5)\/(-25)*5. Let b = -3 + u. Suppose -b*v + 138 = -0*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -838399*g**4 + 6*g + 325*g**5 + 838399*g**4 + (-g**3 - g**3 + g**3)*(g**2 - 2*g**2 + 0*g**2).\nAnswer: 326*g**5 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.03 + 105806625.\nAnswer: 105806626.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w + 134. Let r be h(8). Suppose -2*z = -f + 411010, -2054980 = -19*f + r*f - 4*z. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1590598494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/55 (b) 2\/3 (c) 8.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/120 + k**5\/10 + k**4\/8 - 2*k**3 - 4*k**2 - 33*k. Calculate r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-6)*448546\/(-29253)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 52 = 9*p - 5*k, -3*k - 4 = -p. Let j(t) = 2*t**3 - 49*t**2 + 109*t + 17. Calculate j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -29*f + 869. Let a be y(30). Let r = -2 + 0. Let j = r - -1. Is j greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3110, 718, 8, 2 in ascending order.\nAnswer: 1, 2, 8, 718, 3110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 458\/14 - 4\/(-14). Suppose l = 5*p + t, t - 27 = -p - 3*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/18)*t**9*t**(-1\/2)*t**(-5\/6) assuming t is positive.\nAnswer: t**(137\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134728?\nAnswer: 2, 3, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2118056 decades?\nAnswer: 2.118056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 4*u + 1724 = 13*f, f = 5*u + 415. What is the greatest common divisor of f and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -35*p + 924. Does 77 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 - -559\/4. Let u = 0 + -0.06. Let w = -0.24 + u. Which is the biggest value? (a) w (b) 8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkjk when four letters picked without replacement from jkjkjjjjjjkjjjj.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22068.24 - 8167096\nAnswer: -8189164.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((6\/9)\/(14\/21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10997 divided by 10997?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 458 + -260. Let t = 193 - r. Let j(g) = g + 3. Let m be j(0). Which is the third smallest value? (a) 4\/3 (b) m (c) t (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1657262 and 3?\nAnswer: 4971786","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*188277.\nAnswer: -56483.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8*m = 636359*b - 636361*b + 2, 0 = 2*b + 5*m + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -49 + 40 + 9 + 33*n. Let l(u) = -4*u. Calculate l(j(y)).\nAnswer: -132*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 o when three letters picked without replacement from {o: 4, v: 4, g: 1, p: 7, x: 1, c: 2}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 8859790 and -4.\nAnswer: 8859786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -34 - (10 + (12 - (12 + -1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2026038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-75)\/(-5))\/3. Let k = 16 + -11. Let c(o) = -k + 0*o - 2*o - 2. Calculate c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4396*u = 4810*u - 12420 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -2, -2\/41, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-12)\/(-32)*4. Suppose 0 = -4*m - 16, 4*l - 4*m + 244 = n*l. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/3 - 282076*z**4\/3 - 846242*z**3\/3 - 564164*z**2\/3 = 0 for z.\nAnswer: -2, -1, 0, 141041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-375*c**2 - 5*c - 4*c**3 + 375*c**2)*(-5*c - 2*c + c) to the form f*c**3 + d*c + y*c**4 + x + n*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130224.5 nanometers to micrometers.\nAnswer: 130.2245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 128489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114 - 114 - 4*u + 6*u**2)*(-2*u - u + u)*((4 - 2 - 5)*(3 + 5 - 3) + 2 - 2 + 1).\nAnswer: 168*u**3 - 112*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvwvwwvv. Give prob of picking 1 v and 2 w.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 323 = -2*s + 6*s, -3*s + 6 = 0. Let q = h - 65. Sort q, 4, 1.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(17) + (sqrt(17) - (sqrt(17) + 0 + sqrt(17))) - sqrt(17)) + -5))**2.\nAnswer: 160*sqrt(17) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, g: 1}. What is prob of sequence gk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/33)\/(-3)*(-5325)\/(-4260).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4 - 4101809*l**3\/5 + 1121647327632*l**2\/5 - 102235760960908032*l\/5 - 633904835058487296\/5 = 0.\nAnswer: -31\/5, 273456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 708038704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 + 385004*p = 0. Calculate p.\nAnswer: 0, 96251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923298518.\nAnswer: 2, 37, 12477007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -319.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(8\/(96\/(-12)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22045 - 22049. Put -2, 2, 8, -8, g in ascending order.\nAnswer: -8, g, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34686, 34685, 34684, 34683?\nAnswer: 34682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/100 and 63\/64788260?\nAnswer: 323941300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 338 - 127 = 0. Let t be w\/(-4) - (-3)\/(-12). Suppose -36*g - 184 = -37*g. What is the highest common divisor of t and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 21*r + 5. Let x be u(19). What is the highest common divisor of x and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22120111 (base 3) in base 12?\nAnswer: -374a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3231055*u + 3399788 wrt u?\nAnswer: -3231055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 126*i**3 + 3*i**2 + 14*i - 26. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3280000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 9*o + 6. Suppose 103 = 3*v - 2*c, 3*v + 3*c - 69 = 24. Let p be 43 + 2\/(2 + -4). Let l = p - v. Calculate w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 2*a**2 + 11240934*a - 11240934*a - 3 - 41*a**4 to p + z*a**3 + i*a + r*a**2 + v*a**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 12 = -4*c. Is 201*((-11)\/(-3) + c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -14 + 26. Let u(o) = -o**2 + 3*o + 5. Let h be u(4). Suppose -i - h = -6. Solve -i*r - 5*f + 1 = 26, -12 = 4*r - v*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 + 1846*r + 2363 wrt r?\nAnswer: 6*r**2 + 1846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 10\/(-1 + 3\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/((-3)\/(-5) + -1). Let c be 0 + n - ((-15)\/(-3))\/(-5). Solve -1 = c*w - w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -583573220 divided by -95\nAnswer: 6142876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744733 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 401 - 397. What is the smallest common multiple of z and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/12 + 5*q**2\/2 - 6*q. What are the prime factors of i(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*n + 5, -117144*n = -y - 117148*n + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 208072*u**4 + 2*u - 57463 wrt u?\nAnswer: 832288*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 2*g + 128, 8 = -2*g. Let v be 20\/(-8)*u\/(-20). What is the biggest value in v, -7\/2, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -1 + -107 + 81.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5437 - (-5 - -3)) + -5. Suppose 0 = 4*a - 5*c - 31915, -a + 2576 = 5*c - k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**8\/6720 + q**7\/1260 - q**6\/720 - q**5\/60 - q**4\/4 + 6*q. Let r(x) be the third derivative of a(x). Factor r(l).\nAnswer: (l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15)\/((14\/7)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -17 (b) 4 (c) -2 (d) 4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from kmmmmkk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*y - 64, -2*h + h + 5*y = -14. Suppose -5*x + 10*x = -m + h, m + 6 = x. Solve x*c - 6*c + 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 142\/(-72) - (30 - 32). Let b(j) be the third derivative of 0*j + 1\/180*j**5 + 1\/18*j**3 - h*j**4 + 2*j**2 + 0. Suppose b(d) = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -120*c - 563. Determine w(-4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -40*u**2 - 15. Let z(q) = -10*q**2 - 4. Suppose -3*f - 2*k + 283 = 0, -f + 2*f - 101 = k. Suppose 15 = 98*g - f*g. Determine g*z(l) - 4*n(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279 and 651?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86021 < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 2516.284572973\nAnswer: 2516.684572973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 34 = -6*g. Calculate the greatest common divisor of g and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:52 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-9 - (-9 + -12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by -46.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Suppose 3*t + 6 = -0. Let j = t - -5. Solve b = 2*w - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243339593129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 271*p - 53 = -266*p, -n - 2*p = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s + 10252578 = 0. Suppose 5512593 = -3*a - 3*i, 5*a + 7350119 = a - 3*i. Let t = s - a. Round t to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 18*t + 4*t)*(t**4 - 2*t**3 - 3 + 2 - 1).\nAnswer: -14*t**5 + 28*t**4 + 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.274424nm in micrometers?\nAnswer: 0.001274424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.92802 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 6. Let b = 58 - 50. What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11)**(2\/39)\/(t*t**9)**39 assuming t is positive.\nAnswer: t**(-15188\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2330*p**2 - 2330*p**2 + 14*p + 4*p**3 - 3*p**3 + 6*p**3 + 179*p**3 + (-p - 2*p**2 + p)*(0 + 2*p + 0).\nAnswer: 182*p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgygcykkkvcc. Give prob of sequence vvc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-two fifths of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/195 + 1136\/30. Let n be u\/8 - (-18)\/72. Solve -2*a + n*i = -0*a, 4*a - 3*i = 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.49854 decades in months?\nAnswer: 8579.8248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -14944916.\nAnswer: -14944915.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 9 + 7*q)*(-2*q - 3*q + 4*q) to the form u*q + n + x*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101 - 176330\/1750)\/(-2)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(4 + (sqrt(396)*-1)**2*5)*4.\nAnswer: 63488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50832819?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q - 10, -4*m + 72 = 2*q. Suppose 3*r + m - 83 = 0. Suppose -109 = -5*o + 1. Calculate the smallest common multiple of o and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56846366 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: What is the highest common factor of 7413535 and 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmm when three letters picked without replacement from {g: 3, o: 3, m: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.1674\nAnswer: 0.5022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 3*g**2 - 5. Let i = -113 + 110. Let j(z) = 11*z**3 + 10*z**2 + 14. What is i*j(c) - 8*u(c)?\nAnswer: -c**3 - 6*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322817040 rounded to the nearest 1000000?\nAnswer: 323000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)*c*c)\/(c\/c**(-2\/9)))\/((c**(-2)\/c)\/(((c\/(c*c**(-3\/4)*c))\/c)\/c))*(c**(-2))**6\/(c\/(c*c**(2\/5))*c)**(-6\/5) assuming c is positive.\nAnswer: c**(-13277\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*a + 9 = 0, 0 = 3*b - 0*a - a + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83\/13 in 1, -0.2, -0.86?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Let m(l) = l**s + 4*l + 0*l + 0*l + 1 - 4*l**2 - 6*l. What is the units digit of m(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, d: 4, f: 4}. Give prob of picking 3 g.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 0*j - 3*j)*(3*j**3 - j**3 + 0*j**3) + 684*j**2 - 684*j**2 + 28 + j**4.\nAnswer: 5*j**4 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - 3*x**5 + x**5 + 0*x**5 + 0*x**5 - x**5 + 2 + 2*x**5 - 2 + (-x - 2*x**2 + x)*(-6*x**3 + 2*x**3 + 3*x**3) - 3*x**5 + 12*x**5 - 5*x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(132)\/(sqrt(36)\/sqrt(3)) + sqrt(11) + 2 + 4))**2.\nAnswer: 600*sqrt(11) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7132 divided by 4\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 3. What is the units digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1882, -1866, -1842, -1804, -1746, -1662, -1546?\n\"Answer: y**3 - 2*y**2 + 15*y - 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((69\/12)\/1)\/(6\/336). Let x = -320 + t. Let j(m) = -2*m - 4. Let y be j(-4). Solve x*d + 11 = 2*r + 3, -y*r = d - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-13)\/26. Suppose g = -c + 1 + 3. Suppose -c*j + 3*s + 77 = 0, 0*j + 23 = j + 3*s. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*f**3 + 0 - 166*f**3 + 0 - 92*f**3.\nAnswer: 138*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 17*g**2 - 8*g - 12. Let r = -207 + 199. Let j(o) = o**3 - 3*o + 6*o**2 - 6 + 2 - 2*o**3. Let m(z) = r*j(z) + 3*c(z). Calculate m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0562211 times 162?\nAnswer: -9.1078182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, 1 t, and 1 e when four letters picked without replacement from {v: 1, u: 1, w: 2, t: 1, m: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/2)*h\/(h**(-1\/13)\/h)*h*(h**(2\/3))**18 assuming h is positive.\nAnswer: h**(431\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*f + 11 = 0, -2*d = -3*d - f + 7. Let s = -5 - -7. Suppose 6 + 4 = s*g. Which is the third smallest value? (a) d (b) g (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 131*b + 131*b + 2*b**3 + 8*b**2 to the form m*b**3 + a*b**2 + p*b + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1*(-1 - -2) + 3. Suppose -334 = -j*k - 8. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -13, -6, 11, 38?\n\"Answer: 5*v**2 - 18*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02673 minus 66827.02?\nAnswer: -66827.04673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*-3*((sqrt(288) - (sqrt(288)*-3 + 5)) + (sqrt(288) - (sqrt(288) - (-4 + sqrt(288)*-2))) + 2))**2.\nAnswer: -26784*sqrt(2) + 97156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 20546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55714895.03458 - 55712074. Let u = 2821 - a. What is u rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 5 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 3460 = -2*c. Let p = c + 1808. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 4*k + 4*b, 62*b + 110 = k + 57*b. Calculate the greatest common divisor of 104 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, 307, 3309, 10563, 23833?\nAnswer: 44883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45952282 greater than or equal to 45952290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/4158 - (-2)\/(-243)*9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 3 = 4*y - 2*z, -3*y - 3*z - 24 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1379, 1382, 1385, 1388, 1391?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -330 + 535. Suppose -20 = 4*o, 0 = -9*b + 4*b + 4*o + t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/t**(-1))\/t*t)*t*t\/(t*t**13*t))\/(t\/(t**3*t))**(-1))**(7\/6) assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2 + -6 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 + 13.8. Let g = -8.8 + h. Round g to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 18837\nAnswer: 452088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 945179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274 = 11*m + 2961. Which is greater: -383 or m?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(6*g - 7*g - 38*g**2 + g).\nAnswer: -76*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0133 times 0.1?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 1. Let i be n(1). Suppose 4*a + 5*f - 30 = -a, -3*a - f + 10 = 0. Suppose h + a*h - 102 = i. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(1900) + -2 + -5 + -4 + sqrt(475) + -1 + (((sqrt(190)*1 + sqrt(190))\/sqrt(10))**2 - (sqrt(76) - sqrt(76)*-2)\/sqrt(4)).\nAnswer: 12*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9459 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 2*a**3 + 2*a**3 + (-3*a - 2*a**2 + 3*a)*(0*a - 3*a + 2*a) + 2*a**3 + 0 + 0.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 132.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (sqrt(45) + sqrt(270)\/sqrt(6)))\/sqrt(5))\/(sqrt(147)*-3).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 11*o**2 + 8*o**3 - 312 - 14*o**3.\nAnswer: -o**3 + 11*o**2 - 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -497, -499, -501, -503, -505, -507?\n\"Answer: -2*y - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 82*x**2 + 214*x - 8547. Determine u(41).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -552 divided by -184\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -537, -780, -987, -1146, -1245, -1272?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 13. Let n be 1\/(((15\/(-111))\/(-5))\/(-1)). Let c = d - n. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*y, s + 8*y - 9*y = 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 3:22 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-45)*-3*(-6 - -5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:29 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 6*k**3 - 16 - 2 - 196343*k + 2*k**2 + 196336*k as j*k**3 + g*k**2 + d*k + o and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -5 - -33)\/(323\/(-76) + 5).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 341, 349, 361, 377, 397, 421?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*y - 17 = y, d - 5*y + 7 = 0. Let u = 14 - -2. What is the smallest common multiple of u and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoyppwb. Give prob of picking 1 z and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/26)\/((-2)\/2)*4. Let d be (0 - o\/(-3))*(8 - 11). Solve 14\/5*g**5 - 4\/5*g**3 - 2*g**4 + 0 + 0*g**d + 0*g = 0 for g.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4107965 and 4185.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29193387\/230 + -126928. Calculate the common denominator of x and 35\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**5 - 215*q**4 - 1070*q**3 + 1510*q**2 + 1075*q - 1295 = 0.\nAnswer: -37, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003203537 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvpuuvduvgugrurrppu. Give prob of picking 1 u and 1 d.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - (-1 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -23*a + 5. Let r(p) = 45*p - 10. Let l(n) = -7*g(n) - 4*r(n). Let q be l(-1). Suppose 3*j + o = 25, 43 = 5*j - 0*o + 3*o. Solve 4*z = j - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 3:44 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.659 * 309323\nAnswer: -513166.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssl when three letters picked without replacement from {s: 2, l: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 - 18*w - 9*w + 4*w - 18*w as f + b*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4471647 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1005 in -3, -0.01, -2, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 111839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + i - 184 = 0, 0 = -2*r + r + 5*i + 67. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, w: 2, a: 6}. What is prob of sequence awwx?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1 + (1 + 1 - 3)*(1 - 1 - 2) + 3 + 2 - 3)*(-2*n**3 - 2*n + 2*n)*(1 - 1 + 1).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 0*r = -12. Solve -2*c - 5 = r*k - 3*c, 5*k = 3*c - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-259)\/74*(5\/(-7) - 1). Solve -i = -2*t - 0, -3*t = -4*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 3, -26586\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 2, z: 7}. What is prob of sequence ewzz?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392435\/57 - 6885. Let m = -28\/57 - a. Is m >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660344927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111618 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(1900) + sqrt(1900)*-4 + 1)*5.\nAnswer: -900*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6155 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 216*t**2 - 32*t - 65. What is the tens digit of p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + y**2. Let l be i(1). Let u be (-1)\/((1\/l)\/(-1)). Let z(h) be the second derivative of -h**3\/6 - h**2 + h. Calculate z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wets when four letters picked without replacement from {x: 1, w: 1, s: 1, e: 1, t: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161\/5 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4213*x**2 + 33913*x**2 + 3677*x**2.\nAnswer: 41803*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5 - 3, -1820 = 5*m - 5*a. Let b = m + 1209. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -40, 2407270 in increasing order.\nAnswer: -40, -5, 2407270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*d**3 - 11 - 47*d + 131*d**3 + 3 - 2*d + 4 wrt d.\nAnswer: 444*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + -3)\/(-4) - 3. Let v = d + 12. Find the second derivative of i**5 - i**4 + 4*i + i**4 - v*i wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + c + 28, 14*r - 11*r - 3*c = 75 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7*f + 5*b = -8, 2*b = f - 4. Put -1, f, 14, 2 in descending order.\nAnswer: 14, f, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 12*f**2 - 43*f - 54. Calculate g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 17 = -d - 4*h, 5*d - h = 10. Let t(g) be the first derivative of 29*g**4 - g**3 + 3*g**2 - 14*g - 1532. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 1320 = 4*n. Calculate the greatest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16027 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3383799 and 41667.\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 15 = 17. Suppose -r*d + 275 = 91. What is the remainder when 226 is divided by d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2 + 3*x + 0*x**2 + 0*x)*(2*x - 2*x - 2*x**2).\nAnswer: -4*x**4 - 6*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1fce (base 16) to base 5\nAnswer: 230032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2346 + 2345. Let i = -0.02 + 2.02. What is the closest to 0 in o, -17, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-4641)*-17)\/(110\/(-135))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - -0.7. Let l = o - -0.5. Let z be (-2)\/6 - (-35)\/(-21). Which is the second smallest value? (a) l (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 25174*u**2 + 3*u + 13. Is q(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -10 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 0, -2*v - 4 = -a - 0. Let x(z) = -3*z**3 - 4*z**2 - 3*z - 2. Let w be x(-2). Do v and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2173769498 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 478975303 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-34) - (-22396)\/(-18700)) + 1\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 80*c**2 - 46*c - 237. Is f(9) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*-2*sqrt(128)*-4)**2 - 4*(((1 + sqrt(128))**2 + sqrt(128))*-3 - 4*(sqrt(128) + 0)).\nAnswer: 416*sqrt(2) + 296460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35070 - 35046. Let v = -28 - -60. Calculate the smallest common multiple of m and v.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-950)\/595 + (-156)\/(-91).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -1\/6*x**4 + 0 - 1\/168*x**8 + 0*x**3 - 3*x**2 + 1\/105*x**7 + 1\/20*x**6 - 1\/30*x**5 + 0*x. Find t, given that g(t) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/(77\/21*(-22)\/((-242)\/3))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 188549806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 1. Let n(z) = -4*z - 26. Let v be (4*126\/432 + 3\/(-2))*18. What is v*q(r) + n(r)?\nAnswer: 2*r - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h - 3278101 + 3278101 + 103*h - 52*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.143 - 174.\nAnswer: -174.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**5 + 4*r - 4*r)*(31 - 59 - 418).\nAnswer: -446*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*s**2 + 29747 - 46850 - s**3 - 2748*s - 59758 - 40788 - 4455*s.\nAnswer: -(s + 49)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 267, 402, 537, 672?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1 - (-28 + 22 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*s - 1637, 6*v - 11*v + 4577 = 14*s. Let d be 82\/((1 - 2) + 2). Calculate the highest common divisor of s and d.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5*r**2 + r - 16. Let l be c(4). Suppose 23 - 143 = -l*w. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2395 - -2394.949. Sort x, -0.3, 2.2 in ascending order.\nAnswer: -0.3, x, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5910\/4*(-2)\/(-3). Let t = j + -9889\/10. What is the common denominator of -31\/3 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m = -43*m - l - 103, 5*m + 91 = 3*l. List the prime factors of ((-10)\/(-6))\/(m\/(-24)) + 119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -162050, -168337, -174624?\n\"Answer: -6287*m - 155763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 12:54 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + -5 + 2. Let c = 33 + -35. Let b = c - -1. Put w, b, 5 in decreasing order.\nAnswer: 5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1852*r**2 - 380*r**3 - 5570*r**2 + 381*r**3 + 1859*r**2 + 1859*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/11067 and 71\/7812.\nAnswer: 132804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = 4*v - 86, -116 = -5*v + 2*u. Suppose -3*l + v = 1. Suppose w + 0*w + 24 = 5*p, -2*p + 10 = 0. What is the greatest common factor of w and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 8*y**3 + 6*y**2 + 36*y.\nAnswer: -2*y*(y - 2)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2415700 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1166912 divided by 32.\nAnswer: 36466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16*-0.0061015\nAnswer: -0.097624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(18\/11)\/(y\/(y*y**(-8))*y)*y**(-17\/2)*y*(y*y**(-13\/2))\/y assuming y is positive.\nAnswer: y**(-235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178175.\nAnswer: 5, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) + 472\/18. Suppose 2*b = 3*t - 193, -5*t + 375 - 47 = 3*b. What is the greatest common factor of y and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(((-2)\/8)\/(-1)). Factor 0*z**4 + 0*z**r + 2*z + z**3 - z**4 + z**2 - 3*z.\nAnswer: -z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j + 5 = -71*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374816 by -1378.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-5)\/(-5)*1). Let c(f) = -f**3 + f**2 - f - 5. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a**2 - 201*a. Let x(w) = -12*w**2 - 200*w. Let u(p) = 4*d(p) - 3*x(p). Find t such that u(t) = 0.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.2 - -15.2. Let g(t) = -t**2 - t. Let n be g(1). Which is the closest to -1\/3? (a) n (b) -2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4726 and 25993.\nAnswer: 51986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.487 + -0.487. Let k = -35.0575 + -0.0425. Let t = k + y. Which is the nearest to -0.8? (a) -0.3 (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2412, -4966, -7448, -9816, -12028, -14042, -15816?\nAnswer: -17308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5\/5 - 1578*t**4\/5 - 328162*t**3\/5 - 7167326*t**2\/5 - 33554196*t\/5 + 98428304\/5 = 0.\nAnswer: -409, -356, -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/7 + 3*a**3\/14 - 3*a**2\/14 - a. Factor z(o).\nAnswer: 3*(o + 1)*(4*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 36*q**2 - 36*q - 85. Let h be b(37). Let d be 64\/h*(-6)\/40. Factor d*o + 0 + 0*o**3 - 3\/10*o**2 + 1\/10*o**4.\nAnswer: o*(o - 1)**2*(o + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + l. Suppose l = 3*j - 29 - 16. Calculate the remainder when 26 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 13*i**2 + 2*i - 4. Let z(f) = 3*f**2 - 14*f + 1. Let y be z(5). Calculate the smallest common multiple of d(y) and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*b = -398, 4*b + 821 = 4*f + 5*b. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/13 (c) 1 (d) -1 (e) 4 (f) -169\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064810 (base 9) in base 8?\nAnswer: 16265522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = z + r + 4*r, -3*z = -2*r + 35. Is -10 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000201100 (base 3) to base 7.\nAnswer: -335451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(48)\/sqrt(2) + sqrt(24))*-6)\/((sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3)))*3) + (-4*sqrt(200))**2 + 0 + sqrt(2)*-3.\nAnswer: sqrt(2) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60849 is divided by 20256.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {u: 2, q: 1, n: 1, r: 2, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1153\/352 + 35\/11. Let j be (8 - 8) + 1\/1. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(70) - (sqrt(70) - -4*(sqrt(70) + 2*sqrt(70) + sqrt(70))))\/sqrt(10).\nAnswer: -64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12503\/32014?\nAnswer: -12503\/32014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -27. Let k be (-1)\/((-3)\/(d + -4)). Suppose -2 + 7 = -5*f. Is f >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-75))\/((-1651)\/130 - -13)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 - 2*b**4\/3 - b**3 - 3*b**2 + 6*b. Let f be g(-7). Let w = f + 13. Is 3\/5 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5 + (-159)\/742*42?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1256100745 divided by -5\nAnswer: -251220149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-5)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209075\/37 + -5651. Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-123)\/60 - -2) + -1 and (-2397)\/(-462) + 2\/(-14).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, -22, -49, -76, -103?\n\"Answer: -27*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - z - 20134 = 20422, 13522 = h + 3*z. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -5*c**7\/21 - c**4\/3 - 11*c. What is the third derivative of l(w) wrt w?\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 19*n**3 - 2*n**2 + 7. Give v(-2).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:57 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*r = 346*r + 1353 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/(-3)*-1). Let q = -1 - d. Suppose -u - q*f = 0, -f - 6 = -3*u + 2*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 5*o**2 + o**2)*(-3*o + 2*o + 2*o) + 6*o**3 - 10 + 10 - 3 + 2*o**3 + 2 + 2 + 2*o**2 - 2*o**2 + o**3.\nAnswer: 11*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -720*v**3*x - 3*v**3 + 2*v*x + 11991*x wrt v.\nAnswer: -2160*v**2*x - 9*v**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/48 (b) -1\/444 (c) -147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18055 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -985643 + 4532758 = 143*w. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11627153897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvuqiuq. What is prob of picking 1 v, 1 q, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35722 is divided by 425.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**3\/3 + 9*o**2\/2 + 9*o - 4. Let w be b(-8). Let r(v) = v**2 - 1. Determine r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60218 is divided by 223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 18 = 4*v, -49*v - 2*w = -53*v - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 28 = -9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-24) + (-1)\/1. Let t = 98074\/17 + -5769. Which is the closest to 0? (a) y (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 29*p - 67. Let b(r) = -135 + 7*r - r**2 - 5*r + 55*r. Let v(m) = -3*b(m) + 7*s(m). Determine d so that v(d) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 200?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f - 10. Let i be t(1). Let x be (18\/i)\/((-2)\/(-168)). Suppose -3*v = 3*d - x, -2*d - 4*v + 0*v = -254. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/(-10) - (-9)\/(-15). Solve 0 = -2*h + l - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 - 1\/6*r**2 + 1\/6*r.\nAnswer: -(r - 2)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-72))\/((4\/(-30))\/(36\/120)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*d + 12 + 14 = 0, -d - 20 = -4*o. Let u(h) be the second derivative of h**2\/2 - h. Let i(c) = -c + 1. Let v(y) = -i(y) - 2*u(y). Give v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1948 + -1948.4. Which is the nearest to -1\/3? (a) -2\/7 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -5 + 0*r**2 - 1\/3*r**3 - 3\/5*r**5 + 0*r**4 + 0*r. What is the third derivative of w(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408 and 116.\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = a - 6*a, -4 = 2*a. Differentiate r + 9*x + 0*x + 3*x - 4*x wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -38. Let k = 45 - w. Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 0*j**2 + 0*j**2 + (-3*j**2 + 2*j**2 + 3*j**2)*(2 + 0 - 1) - 3 + j**2 + 3 + 5*j**2 - 306*j + 306*j in the form v*j**2 + y*j + i and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 32*p + 77. Let h be m(3). Which is the closest to 0? (a) h (b) -5 (c) -2 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9708*y**4 + 5208 with respect to y.\nAnswer: 38832*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Suppose -143 = -4*v + 3*c, w*v - 97 = -c + 26. Does 16 divide 1\/2*4 + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 289*d + 4060. Give l(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 12*g + 3. Calculate r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1598053, 1, -281 in increasing order.\nAnswer: -281, 1, 1598053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (27 + -20) - -22 - -19.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 364.\nAnswer: 11284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 - 5*b**2\/2 - 4*b - 3. Let q be k(8). Solve 3*g - 7*g = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.63219 years in decades?\nAnswer: 7.263219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 8*q - 8. Let u(v) = 8*v. Let i(d) = -30*d - 3. Let j be i(-1). Suppose 0 = -2*c - j + 25. Let o be u(c). What is b(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15666782, 31333545, 47000308, 62667071, 78333834, 94000597?\n\"Answer: 15666763*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*h - 281*h = 744 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 87*j - 261. Suppose -639*b + 12 = -629*b - 18. Calculate k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.0865915.\nAnswer: 0.0173183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*r - 1 = 22, 4*i + 4*r + 28 = 0. Let q = -4 - i. Let s be ((-3)\/6)\/(5\/q). Which is the second biggest value? (a) s (b) 1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 1\/3, 3, -1\/24, 90 in decreasing order.\nAnswer: 90, 3, 1\/3, -1\/24, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let v = 12 - 11. Let f(g) = -3*g - 1. Let j(b) = b + 1. Let a(n) = v*f(n) + j(n). Calculate p(a(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3208327319.\nAnswer: 20407, 157217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*u + 15. Let o be -5 - 40\/((-20)\/5). Suppose -u*k - o = -47. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4488)\/20944)\/((-2)\/12). Let 6\/7 + s*i + 3\/7*i**2 = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/7)*(-41)\/615*-30\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 11*y + 184. Let c(a) = 7*a**2 + 24*a + 369. Determine 13*b(d) - 6*c(d).\nAnswer: -3*d**2 - d + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -9613 (c) 59 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 52.0477kg?\nAnswer: 52047700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12648333*c**3*y**4 + 2*c**3*y - c**3 - 12085*c**2 - 71*c with respect to y.\nAnswer: 50593332*c**3*y**3 + 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -26. Suppose 0 = 2*w - 11*w - 396. Let n be (-2)\/9 + w\/(-198). Sort -1, n, r in increasing order.\nAnswer: -1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329425 by -5.\nAnswer: -65885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18069210 divided by 54.\nAnswer: 334615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -54, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314337124.\nAnswer: 2, 67, 997, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3634 - 2493. What is the smallest value in a, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 10867175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1295346 = 551*x - 1263388 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*r + 18, 12 - 2 = p - 4*r. Let t be 6 + (-2 - 2\/(-1)). Let f(b) = -2 - b**2 - 1 + t + 3*b + p. Determine f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -897, -147 in descending order.\nAnswer: -4, -147, -897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 1810\nAnswer: -44\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 3*q + 10. Suppose d = -i + 12 - 1, 3*i - 2*d - 18 = 0. Let z be c(i). Let v be -1 - 2 - z\/2. Solve 3*g - v = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -96*b**2 - 2496*b - 36. What is w(-26)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v + 65*v**2 - 2 - 23*v + 9*v - 1681*v**2 - 1015*v**2 in the form n + k*v + o*v**2 and give o.\nAnswer: -2631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85b5 + -4?\nAnswer: 85b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 14*y - 9*y + 10 = 0, -2*y = 5*v - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*t + 6*t - 16*t)*(-9*t + 32 - 12*t + 33*t - 11*t).\nAnswer: -27*t**2 - 864*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25973.5 milligrams in nanograms?\nAnswer: 25973500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/(-6) + 6\/36. Let d be -1 - (-2 - (u - -4)). Suppose -3*q + 6*q = 12. Solve -q = d*x - x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 + 129*w**2 + 35*w - 2144. Calculate t(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 5361?\nAnswer: 5376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 10. Let x be o(-5). What is the remainder when x*21*(-4)\/20 is divided by (1\/3)\/((-11)\/(-495))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120832 = -130*d + 126162 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*t - 15338 = 10620, -2*a + 4*t = -12988. What are the prime factors of a?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 0.3 (c) 3 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277796 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-11)\/12)\/(-11)*2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96657\/4 + -24337. Let o = t - -173. What is the nearest to o in -27, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*b = 18, -92*b + 32 = 3*d - 87*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1396 = -23*k - 3779. Let a = k - -689. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131397456529 + 131397456529 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(119)*-5)\/(sqrt(84)\/(sqrt(12) + sqrt(108)*-2 - sqrt(12))).\nAnswer: -150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 3 = 4*h. Suppose 4*j + h*z = 4*z + 65, 3*j - 85 = 5*z. Calculate the greatest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggbbggb. What is prob of picking 3 g?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 64*c**2\/7 + 494*c\/7.\nAnswer: 2*c*(c - 19)*(c - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 410058 divided by 38\nAnswer: 10791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 2, v: 2, h: 1, s: 1, w: 1}. Give prob of sequence stwh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -40. Let k be ((-915)\/12 - 0) + p\/20. Let w = -74 - k. Solve 2 = -2*y - j - 2, w*y + 3*j = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t. Let k be v(-6). Let m be 3*4 - (11 + -7). Let c = m + k. Is c at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63.12031 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 1141 = 3*r. Suppose r = -4*u + 29. Let s be 12\/(-78) - u\/286. Which is the third biggest value? (a) -4 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26198, 2, 2\/89 in ascending order.\nAnswer: -0.26198, 2\/89, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*t - 19, 0 = -4*t - o + 151 - 122 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11765 = 4*b + 5*n, -3*b + 5914 = 3*n - 2909. Let u = b - 923. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -305*k - 4881. Determine x(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153744?\nAnswer: 2, 72109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50562 and 70807.6488?\nAnswer: 20245.6488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -240688.\nAnswer: 240688.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u - 6*r = -33*u, -6*u + r - 26 = -3*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by 32\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -479, -710?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113055272119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-3)\/4))\/(1626\/271)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 542*n*r**5 - 32*n*r**4 - 2*n*r - r**2 - 1587 wrt r.\nAnswer: 32520*n*r**2 - 768*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/5, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 18 + 2 + -12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 6266088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3\/7 - 270*s**2\/7 + 3459*s\/7 + 1818 = 0.\nAnswer: -101, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3908, -4232, -4776, -5546, -6548, -7788?\nAnswer: -9272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 4*b**2 - 3*b + 11. Let s be a(5). Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 7:53 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2538914873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 5*h - 2*h = -42 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + 5 + -3*(sqrt(1088) + 1) + (sqrt(1088) - (sqrt(1088) - ((sqrt(1088) + -1)*-6)**2 - sqrt(1088)) - sqrt(1088))).\nAnswer: -3000*sqrt(17) + 196005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3331 = -31*n + 25003. Suppose 2*l + 2*i - 1817 = 13, n = l + 2*i. List the prime factors of l.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 2 + 78 + -77?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 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: Which is the closest to -0.1? (a) -0.1 (b) 55 (c) 9 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -168 - 2544489\nAnswer: -2544657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.88 - -32.9. Let n = -0.02 + u. Which is the third smallest value? (a) n (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(9*(-8)\/140)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - 0 - (-15 + 7). Suppose -4*g - m + 38 = 0, -3*g + 46*m = 42*m - t. Let u = 57 + -30. What is the least common multiple of u and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4 + 12. Suppose -4*r = -z*r + 10. Let v(o) = -o**3 - 5*o**2 - o. Let h be v(r). Sort -1, -3, h in increasing order.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 65*r - 21. What is the units digit of a(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105438 or -105440?\nAnswer: -105440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 + 21*t\/5 + 6.\nAnswer: 3*(t + 2)*(t + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55222060.\nAnswer: 2, 5, 1373, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6799, 6808, 6817, 6826, 6835?\n\"Answer: 9*z + 6790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9767*o**4*u + 1783*o**4 + 3*o**2*u + 2*o**2 + 2*o*u - 26*o + 386 wrt o?\nAnswer: -234408*o*u + 42792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 - n - 3. Let y be h(-3). Let r be y + 3 + (2 - -1). Let g(w) = w**2 - 7*w + 6. Let m be g(r). Solve -3*q + 12 + 3 = m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -42, 4, 2\/53, 8, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3969806 = -48*l + 14*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-24))\/((-1)\/3)*6218 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 2:25 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 9*n**2 - 6. Let c be s(9). Let x be 12\/1 + (-2 - c). Suppose x*m = 12*m + 96. What is the least common multiple of m and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82264 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, 2, -33099, -1 in descending order.\nAnswer: 11, 7, 2, -1, -33099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/21)\/(15\/105). Let g be f\/(-10) + (-999)\/(-105) + -9. Let l = 3 + -2.5. Which is the closest to 2? (a) l (b) g (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16414168 divided by -1396\nAnswer: -11758","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-56) + -54*4*12\/(-912).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*d - 5*b, 696*d + 4*b = 694*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1007432193 at least -1007432193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 19*q - 369. Let f be p(-12). Solve f*y + 14*y = -85 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 325?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(180)*-2 - (4*sqrt(25)\/sqrt(5) + 5)**2.\nAnswer: -76*sqrt(5) - 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 - -0.11. Which is the closest to -4? (a) v (b) -3\/2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 2354*b**3\/3 - 1940*b**2 - 4607*b. Find the first derivative of j(h) wrt h.\nAnswer: 4708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxkmmmmxmkqzx. Give prob of sequence zkkx.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 928 = -0*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -8. Let o be -2*(-4)\/16*h. Let z be 9\/(-27) + 1\/o. Solve -5*r = -5*d + 35, -r + 3*d + 0*d - 11 = z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786517 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -483 bigger than -1284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6757 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 3*x**2 + x + 2. Let o be j(2). Suppose 0 = 3*b + 4*b - 14. Solve 2*q + o = -b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + 16. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4\/7 (b) 2\/7 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/6 + 11*z**2\/3 + 20*z\/3 = 0?\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1900 - -5702\/3. Suppose 0 = 2*x + 4*g - 20, 5*x - 30 = -2*g - 3*g. Which is the fourth smallest value? (a) -5 (b) n (c) x (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 - 268. Suppose 0 = -d - h*z + 18, -5*d + 22 = 5*z - 8. Solve -8 = k + a, -d*k + 1 = -a - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 2771\/778?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 29*p**2 - 1671*p + 6671. Give z(4).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 57.3 and -1905083311.1.\nAnswer: -1905083253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l*u*z + 2*l*u + 45*l*z - 2*l + 15*u**2 + 4*u - 22*z + 1 wrt u.\nAnswer: -5*l*z + 2*l + 30*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*j - 72713 = 953*j - 403*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 3*o + o**3 - 8 + 0*o. Suppose -4*v + 17 + 7 = 0. Let f(t) = t - 6. Let r be f(v). Determine g(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795627383 to the power of 1\/2, to the nearest integer?\nAnswer: 28207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 749275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 43104520.\nAnswer: 43104520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 1. Let s be r(-1). Suppose 4099*k = 4090*k + 126. Suppose -6*w + k + 10 = s. Solve -w*u - 21 = -5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 63*u - 59*u + 4*u**2 - 12*u**4 + 2*u**3 to a*u + m*u**3 + k + t*u**2 + p*u**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7000 and 8659875.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5258\/83529 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 2*y)*(-y + 0 + 0) - 25*y**2 - 10*y**2 + 0*y**2.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17087.7411s?\nAnswer: 0.19777478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4467907?\nAnswer: 19, 113, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2103\/2 - 1052. Sort 0.21, 1\/2, a, 2\/13, 3 in decreasing order.\nAnswer: 3, 1\/2, 0.21, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 2.08?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 28 = -2*u, -2*u - 883*t - 8 = -905*t for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*t + 44*t - 279 = 8*t + 2617 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-63)\/(-27) - 2)*111117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 3) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -905303144*b**3 + 1459491410 wrt b?\nAnswer: -2715909432*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/18)\/(-2) - 387\/(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2.66\nAnswer: -7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 - 3*z - 9. Calculate j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 43*n - 325. Let h be p(8). Is 228\/13 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -205\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2) + (1\/1 - -1218) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42912060 divided by 6?\nAnswer: 7152010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -8*l - 518. Calculate the remainder when l is divided by 65.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5802 - 0.1?\nAnswer: -5802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 88683, 354785, 798285, 1419183, 2217479, 3193173?\n\"Answer: 88699*f**2 + 5*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.71 and 0.08.\nAnswer: 3.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85564, -85554, -85538, -85516?\n\"Answer: 3*f**2 + f - 85568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2)**(-5)*(d*d**(-1\/12)*d)\/(d\/((d**(1\/2)*d*d*d)\/d*d)) assuming d is positive.\nAnswer: d**(113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233 or 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 590?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-44))\/(252\/(-154))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(sqrt(320) - (2 + sqrt(320) + sqrt(320))))**2 + sqrt(320) + 3 + (sqrt(320)*3 + sqrt(320))**2)*-6 + -1.\nAnswer: 4896*sqrt(5) + 231083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g + 9. Let j(d) = -3*d - 4. Let q(r) = -9*j(r) - 4*z(r). Let s(w) = 10*w**2. What is q(s(a))?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*u + 1 + 1, -4*u + 8 = 0. Let p = -135 + 153. What is the highest common divisor of p and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -16. Suppose -3*k - 4 = -c, k = a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -563\nAnswer: -562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 4*v**4 - 3*v**4 + 4*v**4 - 2 + v**2 + 2*v**4 in the form g + a*v**4 + d*v**3 + h*v + l*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 3. What is k(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from {w: 5, b: 1, e: 1, i: 1, y: 3, n: 3}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/4 + 897*j**3\/4 - 38157*j**2\/4 + 201603*j\/4 - 41085 = 0. Calculate j.\nAnswer: 1, 5, 44, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68573*n + 137995*n - 69428*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**25)\/s)\/s*s*s\/s**(28\/3))**(-18))**(-1\/4) assuming s is positive.\nAnswer: s**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(22)\/sqrt(2)*5 + sqrt(99)\/(sqrt(45)\/sqrt(5)))*-3)**2.\nAnswer: -360*sqrt(11) + 3664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246633894?\nAnswer: 2, 3, 13, 1053991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j**3 - 3*j**2 + 21*j - 37. Determine n(2).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - p + 16 = 0, 0 = -4*b - p - 0 + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8128291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v**3 + 33*v**3 + 22*v**3 - 142*v**3 + 52*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t\/t**26)\/t*t\/(t*t**(1\/17)\/t)*t)\/(t**31*t*t\/t**(6\/25)) assuming t is positive.\nAnswer: t**(-22873\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6540416 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 121. Let q = p + -63.9. Let m = q + -8.1. Which is the nearest to 1? (a) -3\/5 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*t = -249, 4*d - 4*t = 9 + 323. Let m = -5 + d. Suppose z = -2*z + m. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p. Let y be i(3). Suppose 2 - y = -w, -2*d - 3*w = -24. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-30)\/780*8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218842650 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3262 is divided by 1628.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3297 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*a + 137*a + 151*a - 583*a + 23 + 149*a.\nAnswer: 3*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16 = 3*v. Let h be 16\/15 + (-2)\/5. Let l = -4 - -3. Which is the nearest to h? (a) l (b) v (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83579?\nAnswer: 83579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 57, -1 in descending order.\nAnswer: 57, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46\/15*s**2 - 62\/5*s - 8\/15.\nAnswer: -2*(s + 4)*(23*s + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -36. What is the nearest to 1 in 2\/7, -2\/21, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936660 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89289760 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 88*c**2 + 76*c. Let w(n) = -93*n**2 - 75*n. Let q(u) = -4*w(u) - 5*z(u). Factor q(d).\nAnswer: -4*d*(17*d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.15, 363\/2, -4, 3\/14?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*w**3 - 540*w**3 + 1093*w**3.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 1\/6, 2, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10133 or -10128?\nAnswer: -10128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*t + 25, -4*n + 5*t + 19 + 103 = 0. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 3*q)*(105*q + 13 - 25 + 11).\nAnswer: -210*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:16 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/8 + 5541*m**2\/8 - 30531*m\/4 + 6940.\nAnswer: (m - 10)*(m - 1)*(m + 5552)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 370 - 617. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -100863729, -4, -1\/2, -0.1 in decreasing order.\nAnswer: 3, -0.1, -1\/2, -4, -100863729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pon when three letters picked without replacement from papaopanna?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - d + 307, 4*c + 2*d + 327 = -d. Let h = c + 236\/3. Let w = 0.73 + 0.27. Sort w, h, -0.5 in increasing order.\nAnswer: -0.5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*k + 21. Let n be 5\/(k + (-22)\/(-12)). Does 16 divide n*(-1 - 76\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 - 78 - 27 + 81*q wrt q?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1665 and 135.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -305\/2 - -150. Calculate the common denominator of x and ((26 - 1)\/(-1))\/(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.93 + -47. What is the biggest value in -0.1, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9493 - -9493. Solve -150*t + 149*t - 3 = g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u - 8. Let r be -2 + 2 + u - 1. Let a be (-46)\/(-14) - (-16)\/(-56). Solve 4*c - 28 = -4*b, r + 2 = 4*b - a*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 - 845 = -25*w + 666. What is the remainder when 1796 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1052)\/(-1315) - (322\/190 + -1). Let y = 0 - -5. Let i = y - 2. Does i = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**3 + 7*r**2 + 5*r - 5. Let o(g) = 2 + 6 - 1 - g**2 + g - 8. Let u(j) = -2*l(j) + 10*o(j). Find the third derivative of u(f) wrt f.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 3. Let q be (-581)\/(-42) - (-1)\/x. Suppose 19*y = q*y + 10. Solve -3*w + 5*f + 37 = 3, -w + 13 = -y*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(24)\/sqrt(3)) + (-5 + sqrt(272))**2 + sqrt(17).\nAnswer: -38*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-76)*(4 - 2)*-74. Let b(l) = -23317 - n*l + 23317. Let s(a) = 5*a**2. Give b(s(h)).\nAnswer: -185*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2 - -0.06715514.\nAnswer: 3.26715514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*q + 1 = -184*q - 2*i, -q = -4*i - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - 9075?\nAnswer: -90a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 2*o + 135. Let m = o + -22. Suppose 70 = -3*n + m*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4010632 and 2536264.\nAnswer: 8776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2\/13 (c) 5 (d) -1\/1058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*q**3 + 3 - 3 - 30*q**3 - 42*q**3 - 23*q**3 + 106*q**3.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -33. Suppose -5*m + 15 = 3*j, 5*m + 3*j - u*j - 15 = 0. Factor -15*l**4 - 8*l**3 - 4*l**3 + m*l**5 + 24*l**3.\nAnswer: 3*l**3*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -161, -240, -319?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(4\/3)\/o*o))**(-39)\/((o*(o\/o**(-3\/5))\/o*o)\/(((o**(-1\/5)\/o)\/o*o*o)\/o)) assuming o is positive.\nAnswer: o**(436\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 7*l - 446 - 4*l**2 + 2*l**2 + 460. Calculate j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 65. What is the nearest to v in -2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.9. Let c = b - -1. What is the closest to 1\/3 in -2\/15, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 - 3*c**5\/20 + 5*c**4\/12 + 5*c**3\/6 + 3*c**2 - 20*c. Give r(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -30. Let j = w - 1. What is the third smallest value in j, -3, -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/622493 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7159.\nAnswer: 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 360, 302, 202, 66, -100, -290?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y - 91*y**2 + 34*y**2 - 5*y)*(2 - 7*y + 5*y + 5*y) as b*y**3 + r*y + m*y**2 + g and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55438, 56046, 56654, 57262?\nAnswer: 57870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 122*x - 19. Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40, 132, -19, 0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45089)\/26180 + (-2)\/8. Let d = 28\/85 + h. Let q = 22\/7 + d. Which is smaller: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16892 + 213a?\nAnswer: -14753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 8*d + 9. Suppose 11*j - 7*j + 28 = 0. Let m be f(j). Find c such that -7*c + 13*c - 10 + 2*c**m + 2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/9 + 290*y**3\/3 + 43274*y**2\/3 + 8170162*y\/9 + 62088488\/3 = 0. Calculate y.\nAnswer: -204, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.96 - -154.04. Let j = r - 307. Let a = j - -148.99999744. Round a to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4 and -64\/133377?\nAnswer: 533508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1075 = 5*r, -39 = -r + 3*i + 172. What is the remainder when r is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0498067 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -4.2. Let g = 585.9 + -816. Let c = -230 - g. What is the nearest to c in 1\/5, 3\/8, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 - 2. Let x be l(2). Let k = -5.567 - -5.367. What is the second biggest value in k, x, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-20))\/((-1)\/70). Suppose i - y = 9. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:48 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15477193 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/4*(51\/15 + -3). Solve -a*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/30 and 87\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8186*59\/59*-2*(-15)\/(-12)?\nAnswer: 5, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20)\/14 + (130 - 129) + 47218\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -394311470?\nAnswer: -394311468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/53 + -1034\/1113. Find the common denominator of 210\/(-108) - 2\/9 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:59 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 35 = -3*i - 3*m, -101 = -3*i + 2*m. Let t be 3*3\/(27\/i). Suppose r + 0 = -2*a + t, 3*r = 5*a. Sort r, 0, -3 in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/1 - 12)\/(-2). Suppose d*a - 1 = -2*s + 77, -s - 52 = -4*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1063 and -18?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33210.32 decades to years.\nAnswer: 332103.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 709086 and 2599982?\nAnswer: 7799946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.748986 years in centuries?\nAnswer: 0.04748986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1 (c) 0.12 (d) 96\/23 (e) -65\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -198, -0.4, 9, 0, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 35. Let p be (-2)\/42 - (-6)\/(-21). Sort n, 2\/3, p in decreasing order.\nAnswer: n, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = x + 37, -4*p = -10*x + 7*x - 56. Suppose w = 2*h - p, h - w + 1 = 6. Solve 7 = 3*d + 5*c, -c - h + 21 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 62194280*f**2. Let q(d) = 2*d**2. Give q(c(z)).\nAnswer: 7736256929436800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -349640*k + 2097836. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1309724, -2619447, -3929168, -5238887, -6548604, -7858319?\n\"Answer: r**2 - 1309726*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 8 - ((8 + (-24 - -19) - -7) + 53)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398 divided by 15.\nAnswer: -398\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:10 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5512932 and 1225096.\nAnswer: 11025864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l - 5*c + 20 = -55*l, -85 = -4*l + 5*c. Calculate the remainder when (-50)\/(-6)*3\/1 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25a54 (base 14) in base 10?\nAnswer: -92586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2582, 2162, 1742, 1322, 902, 482?\n\"Answer: -420*o + 3002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 389270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k**(-1\/5)*k*k*(k**1\/k)**(2\/19))\/(((k\/k**(-2)*k)\/k)\/k**(1\/7))**23 assuming k is positive.\nAnswer: k**(-6746\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*h = 2*z + 10, 0 = -2*z - 5*h + 35. Put 25, z, 4 in decreasing order.\nAnswer: 25, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482433.\nAnswer: 3, 7, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, 242, 608, 1004, 1430?\nAnswer: 1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 3*a - 6*a = -18*h + 49, 45 = -3*h - 3*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 372 + 1176 = -w, 4*i + w - 1596 = 0. What is the greatest common divisor of 320 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.244889374 and 1.\nAnswer: 2.244889374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.4 + 87. Let p = i + 4.4. Let q = 12.4 - p. Round q to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9621 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11437 divided by -827\nAnswer: 11437\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f**8)\/(f*(f*f\/f**10)\/f*f*f**(1\/10)) assuming f is positive.\nAnswer: f**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28715553 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-768)\/288*6\/4. Which is the smallest value? (a) 1\/6 (b) -25 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101111000110100010101 + 101?\nAnswer: -1001101111000110100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3\/707 (b) 0.1 (c) 1\/4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226144223*v**2 + 65074052*v wrt v?\nAnswer: -452288446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-5)\/(-3))\/(13\/(-4273659)*-3) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12031, -24047, -36063, -48079, -60095?\nAnswer: -72111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 48?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16199 and 334.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 82376.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/14 and 49\/334?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*y, 4*y - 3 = -15. What are the prime factors of 21\/l - 4 - -52?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -867000 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577 smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*123\/(-15)*(-175)\/(-6615)*63?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 2*a**2 + a - 3. Suppose -5*s = -35 + 15. Let l be m(s). Solve -l = -4*n - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51120 and 1800.\nAnswer: 255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3213 - -13023100231?\nAnswer: 13023110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-3) - -11) + 4\/((-28)\/35). What is the third smallest value in -23, -10, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*p**3*s + 47*p**2*s + 312574*s wrt p?\nAnswer: -156*p**2*s + 94*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16248*a**4 - 8876 with respect to a.\nAnswer: 64992*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1144886692 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36792 + -36787. Let j = 0.8 - 3.8. Sort -2, 4, b, j in increasing order.\nAnswer: j, -2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose 0 = -h*s - 4*s + 1376. Suppose 20*d - 560 = 4*d. What is the remainder when s is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**2 + 28*z. Let v(l) = -4*l**2 - 10*l. Let h(i) = -5*n(i) - 14*v(i). Let x(o) = -63*o. Determine x(h(m)).\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 50*g**2 - 53*g - 33. Let j be k(-26). Let n(z) = z**2 + 2*z - 8. Determine n(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (0 - -1) - -6) + -4 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1764260 and 2750170.\nAnswer: 93505780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -271, -2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 greater than or equal to 245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (107\/(-56) - -2)*(-2)\/(-10). Sort m, 2\/15, -1\/5.\nAnswer: -1\/5, m, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 621*f**2 - 6*f + 2. What is the units digit of s(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 4. Let k be b(-4). Suppose -3*d - 4*l + 51 = -64, -5*d - l + 220 = 0. Suppose 3*v - d = -2*v. Solve k = -5*z + 1 + v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 9572*z + 745940\/3.\nAnswer: (z + 26)*(z + 28690)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13612976.\nAnswer: 2, 13, 65447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16 - 7 - 3\/(-1). Let w be q\/30 + (-4)\/(-6). Solve w*m - 6 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-14)\/5))\/(-10 - 2875\/(-276))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - 3*k + 16*k - 247*k**3 + 68*k**3 - k to q*k + t*k**3 + y*k**2 + n and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1392\/29)\/16)\/(2\/((-66)\/9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181640353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 132, 8, -2282, 2 in descending order.\nAnswer: 132, 8, 2, -3, -2282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 26 = 399*g - 398*g, 0 = 4*p + 56 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 1028*i**2 - 618864*i + 3749760.\nAnswer: 2*(i - 868)*(i - 6)*(i + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v - 121. Let r(b) = -60*b - 484. Determine 9*d(x) - 2*r(x).\nAnswer: -6*x - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77 - -1*(-3)\/(-3). Suppose 4*g - 2*g - h = 0. Suppose g = 5*r - 11. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32846*k**2 + 65691*k**2 - 32844*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 6*i + 1. Let k(y) = 3*y**2 + 12*y - 3. Determine 3*k(m) + 5*o(m).\nAnswer: -m**2 + 6*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.28 in -6, -1\/3, 0.3, -2\/3, 26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let s(d) = -d. Let r(i) = -12*i. Let w(u) = -5*r(u) + 70*s(u). Calculate w(k(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + (-99)\/(-121).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11344 + -121240?\nAnswer: -104341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*x**3 - 207*x**3 + x**4 - x**4 + 4*x**2 + 3*x**4 - x**4 + 2 to the form b*x**4 + v + o*x + c*x**2 + n*x**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 252718 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmfymmmmfmy. Give prob of picking 1 y, 1 l, and 2 f.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10817870, -10817872, -10817876, -10817882, -10817890, -10817900, -10817912?\n\"Answer: -f**2 + f - 10817870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1\/3, 18564181, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from loolooloolloo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v**4 + 0*v)*(2*v - 4*v + v)*(-7626 - 2681 - 1932).\nAnswer: -12239*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*k - 21 = 0, -19 = 4*o - 186*k + 189*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*x - 815*x + 397*x.\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let d(m) = -4*m + m**2 - m + k + 2. Let w be -1 + 0 + (-2 - -8). What is d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = 2*m, m = 5*n - 13 - 3. Suppose -p + 42 = 4*t, -52 = -5*t - m*p + 3*p. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/645785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6931 - 6990 = 20*g - 13821 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5541 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 6, 98, 0 in descending order.\nAnswer: 98, 6, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08205 + -0.0706. What is l rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -2 (c) 50 (d) 1\/3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-20))**(-23))**(-9\/7))**(-2\/23) assuming n is positive.\nAnswer: n**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5489575 and -29\/140?\nAnswer: 21958300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -213 divided by 285594\nAnswer: -71\/95198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 73d715?\nAnswer: 73d713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21396 - 11438. List the prime factors of u.\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + s + 1. Let g be 14*(2 - (-3)\/(-6)). Suppose 2*u + u - g = 0. Let q(c) = -c**3 + 7*c**2 - 4*c - 3. Give u*y(m) + 2*q(m).\nAnswer: -2*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5211 and -44\/154629?\nAnswer: 29843397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*t + 2*p, 3*t - p - 51 = -56 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5354 is divided by 1688\/6 - (20\/(-50) - (-64)\/(-240)).\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.178 - -0.105. Let l = -0.273 - h. Let j = 0.368 + 0.032. Which is the second biggest value? (a) 1 (b) l (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7647 + -7647.1. Put -225, -3, -0.5, d in descending order.\nAnswer: d, -0.5, -3, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*m + 12 = 0, 3*i - 8*i - 2*m + 16 = 0. Suppose -w = 5*d - 17, -4*d - 5*w + 10 = -3*w. Let u = 6 - d. What is the remainder when i is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 434 = y + 893 - 444, -2*y + l = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 25. Let f(h) = 2*h + 26. Let l(b) = -3*f(b) - 2*x(b). Find the first derivative of l(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5002691*y**3 + 14546*y + 22 wrt y.\nAnswer: -30016146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-72*121\/(-34848).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (6 + (-4 - -1)). Let n = 2251 - 29265\/13. Suppose v - 4*m - 11 = 0, -3*m - 23 = -4*v - 5. Put n, k, v in ascending order.\nAnswer: n, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480\/60*((-544)\/(-51))\/(-16)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 6}. Give prob of sequence sqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 909.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/65)))\/(h**31\/h) assuming h is positive.\nAnswer: h**(-1952\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -52, 1 in decreasing order.\nAnswer: 1, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 5 + (60\/18 - 4)*6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 - 20*j**2 = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 9*w - 24. Suppose 2*n + 222 = 2*r, 2*r - 409 = -2*r - w*n. Let i = r - 103. Solve -5*l - 3 + 13 = 0, 0 = i*t + 3*l + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 178140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 69*x**2. Let n(p) = 5*p. Give n(m(o)).\nAnswer: 345*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 32*q**3 - 542*q**2 - 5*q + 53. Calculate j(17).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/2))**(-10\/9))**19 assuming r is positive.\nAnswer: r**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**15\/w)*w))\/w*w*w\/w**(-7)*w**12\/w**(-1\/8))**(-18\/7) assuming w is positive.\nAnswer: w**(-351\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15.312, 3\/7, 6, 11.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238068 = -16*k - 35*k. List the prime factors of k.\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1422 and 277337400?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49541, -198762, -447457, -795620, -1243245, -1790326, -2436857?\nAnswer: -3182832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 132. What is the remainder when 950\/11 + 100\/(-275) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 24885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1096 + 1096.000819. Round g to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - 2.78. Let v = r - 0.04. Sort -0.5, -4, -7, v in decreasing order.\nAnswer: -0.5, v, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**3 + 15*v**3 + 15*v**3 + 17*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6544 and 64928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106316 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5511 - 281099\/51. Let q = d - 10\/17. What is the second biggest value in 2, q, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000101860841 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*g - 9, 0 = 2*g - 5*m + 3 - 0. Which is the closest to -2\/7? (a) g (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7514*s - 45544. Calculate d(6).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**4 + b**3 - b**2. Let s(i) = 3*i**4 - 3*i**3 + 5*i**2 - i. Let j(r) = 20*k(r) + 5*s(r). Suppose j(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 46 + 66 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 2d8db?\nAnswer: -2d8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Suppose -l*b - 43 = -2*n + 11, -3 = -b. Solve -v - 8 = -2*a - 2, 5*a - n = -2*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 88. Suppose y = x + 1, -3*a + 2*x = -2*x - 19. Calculate the remainder when a is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(0 - 3\/(-3)). Suppose -3*x - 3 = -w. Suppose -4*q = -x*q - 18. What is the greatest common divisor of q and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 9, 3?\n\"Answer: -6*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 10801 - 12545 = 31854. What are the prime factors of w?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4728889?\nAnswer: 11, 429899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Let l be 0 - (u - (1 + 1)). Let v be (-17380004)\/(-22) + l\/11. What is v rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2*q + 8. Let i be j(8). Suppose -3*k + 12 - i = 2*g, 2*g = k - 92. Let p = 106 + g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -6 + 26 + (0 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-1))\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 + -71. Suppose -5*j - 9*j = -d. Suppose 5*f = -0*f - 10. What is the nearest to f in -0.2, -5, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by ((-26)\/(-6))\/(3*(-3)\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 30*g - 3192. Suppose -11*d - g = -17*d. Solve b = -3*c + 4, -2*c - d = 5*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**2 + 11*p. Let m(t) be the first derivative of -2*t**3\/3 + 3*t**2\/2 - 6. Let a(z) = 22*m(z) - 6*s(z). Let u(q) = q**2. What is a(u(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, g: 1}. Give prob of sequence zzgz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 4*q = -38*q + 2880. What is the highest common divisor of 15320 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x - 18. Let v be (-10)\/x*27\/(-3). Is v\/(-3) + -2 + 0 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 9. Let s be (1 + -7)*(0 + -1). Let f be m(s). What is the second derivative of f*y**5 + 2*y + 3*y**5 - 4*y**5 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 343\nAnswer: -4\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 - (0 - (1 - (4 - 2)))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:08 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6341 > 6341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.60819 * -0.016.\nAnswer: 0.07373104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 2*q + 1. Let j(v) = -v - 4. Let m be j(5). Let h = 12 + m. Let s be r(h). Solve -s*i = -i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*n - 134, -87 = -2*t + 59*n - 62*n. Calculate the greatest common divisor of t and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1143 and 24701373?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 9. Let a(m) = 25940*m**2 + 25*m - 1. Calculate u(a(i)).\nAnswer: 129700*i**2 + 125*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 199514811 at least as big as 199514807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and -2695?\nAnswer: -129360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 6*j + j - 7. Let o be d(-6). Let v = -14.3 - -14. Which is the third smallest value? (a) 3 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200) + 6*(sqrt(7200) + (1*sqrt(7200) - sqrt(7200)) + sqrt(7200)) + -1)**2.\nAnswer: -1560*sqrt(2) + 1216801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -20 + 6 + 0 + 11 + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 81 = 88. Let v = 4 + -5. Is 18 a factor of v\/(-3) + t\/((-21)\/977)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2171.974 + 8.026. Which is bigger: x or -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 6 = -5*p - 3*z, 3*p - 10 = -2*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 611684133 + -298496.\nAnswer: 611385637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eccexeccveeccl. What is prob of sequence ecc?\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 3, 10709 in descending order.\nAnswer: 10709, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 98577853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 16*j - 16. Let l be i(-9). Solve -3 + l = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 686\/19 - (-68)\/(-646). Calculate the highest common divisor of 48 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1409852785 to the nearest 100000.\nAnswer: 1409900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-195)\/(-26)*2\/3. Solve -r*k + 2 = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + 40\/6. Suppose -3*s + 0*s = t. List the prime factors of s\/5 + 201\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 2*m**8\/7 + m**4\/12 + 2*m**3\/3 + 7*m. Find the third derivative of k(d) wrt d.\nAnswer: 1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 12) in base 8?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -129*134*(-13)\/39.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, 70 in descending order.\nAnswer: 70, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -63 + 73 - (1 - -11). Suppose -3*h - j = 83, 0 = -2*h + 2*j - 5 - 37. Let u = h - 1. Do u and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17135119\/118590 + -9684\/67. Calculate the common denominator of h and -187\/30.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 4*p + 1. Let u be o(3). Let w be (1\/u)\/((-5)\/(-50)). Let z = w + 4. Sort z, -2, 1.\nAnswer: -2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 33\/7*l**3 - 6\/7*l**5 + 0 - 27\/7*l - 51\/7*l**2 + 51\/7*l**4 = 0?\nAnswer: -1, -1\/2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/((-5940)\/(-72))*20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 7*i**3\/3 + i**2\/2 + 6*i + 21. Let f be w(-13). Is f\/4 + (-4)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 13*j + 8. Let o be t(4). Let z = 154 + -87. Suppose z = o*g + 19. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055262 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/95 < 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1717*m + 742 + 746 - 1488 - 1501*m**3 wrt m?\nAnswer: -9006*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + (sqrt(891) - sqrt(891)*4) - sqrt(891)) + -2)**2 + 1 + ((sqrt(55)\/(sqrt(5) + sqrt(25)\/sqrt(5)))**2 - sqrt(11)).\nAnswer: 107*sqrt(11) + 32107\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 + 13 + 20 + 8 + 29*g wrt g.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (3 - 3)) + -10. Calculate the smallest common multiple of 9 and 6*r\/(-9)*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 1. Let w(l) = l + 1. Let h(u) = -3*u + 5. Let p(v) = -h(v) - 2*w(v). Let o = 8 - 4. Let k be p(o). Give a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 1029 in ascending order.\nAnswer: 4, 5, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573148713 to the nearest integer?\nAnswer: 23941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 - 16*s - 25. Calculate b(8).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + ((-143)\/65 - 2\/(-10)). What is the second smallest value in 51, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-219 - -203) + 150 + (2 - -11 - 0).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 11*s**2 + 8*s - 12. Let d be w(-10). Suppose 63 = d*z - z. Suppose -q + 60 + z = 0. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 1. Let q be g(2). Let r = q - -8. Let s(k) = k + 1. Is 2 a factor of s(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2966 + 0.0034. Which is the smallest value? (a) 1\/3 (b) -0.1 (c) 2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (55 - (38 - 17) - 1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 2 + 2 + (-1 - 2*o + 1)*(1 + 1 - 3) + (-1 + 4 + 5)*(9*o - 13*o - 3*o).\nAnswer: -53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f - 84. Let y be l(13). Suppose j - 2*b = -9, 20 = -2*j - 5*b + 2. Let x be ((-6)\/j)\/((-2)\/(-72)). What is the greatest common divisor of x and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x - 76*x - 11*x - 405 - 5*x**2 = 0. What is x?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let w(g) = -15*g. Suppose 9*v - 7*v = 4. What is v*w(d) - 33*n(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*m - t, -136 = -4*m + t - 5*t. Let q = m - 1. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1414)\/202*(-18)\/63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -f - 11, -h = 3*f - 4*h - 3. Suppose -f*q + 40 = -4*w + 5*w, 80 = 4*w + 4*q. Solve -6*k + w = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9053*f - 63439. Give a(7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8300045 to 2 dps.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2352 and -1.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1600 (b) -57.4 (c) 2\/7 (d) 1 (e) 0 (f) -3 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, and 1 c when three letters picked without replacement from {u: 8, l: 5, c: 2, r: 1, w: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*i - 12*i + 27*i)*(3*i - 2*i**2 - 3*i)*(-10 + 2 - 1) to s*i**3 + n + g*i**2 + j*i and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 14*b**2 + 18*b - 14. Let x be z(-16). Let s = -4412\/21 + x. Let o = 0 + 1. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87582489, -87582488, -87582487, -87582486, -87582485, -87582484?\n\"Answer: f - 87582490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**32\/(f\/f**14)**(-16) assuming f is positive.\nAnswer: f**(-496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.05. Let g = 3.95 - f. Let d = -113 + 110. What is the biggest value in g, d, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/78 and -69\/16490?\nAnswer: 643110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -135, 0, 984?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 65\/(-25))*(-2 - (-176)\/108).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 3, s: 4, z: 7, k: 3}. Give prob of sequence zks.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 + 111*r**3 + 31766*r**2 + 152139757*r?\nAnswer: -24*r**2 + 666*r + 63532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -108 + (-1 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -15)\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*n + 306*n + 276*n + 9624 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6) - 9\/6. What is the common denominator of 4\/(-18)*(b - 755\/(-120)) and -137\/18?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(99)\/(sqrt(9)*-4))*1*-1 + 5.\nAnswer: -3*sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.95 * 4.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1760?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -5 + -12 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8527, -8533, -8539, -8545?\n\"Answer: -6*l - 8521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5896?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.048? (a) 0.3 (b) 2\/9 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {g: 2, p: 1, o: 5, w: 3, b: 5}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 4, q: 2, w: 2}. What is prob of picking 1 p and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*j = 3*b - 14, -5*b = j - 14. Let m(k) = 5*k**3 - k**2 + k. Is 15 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -141 (b) -1\/3 (c) 1\/3 (d) -0.2 (e) -1\/2 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533536 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-843077)\/(-4)*(730\/803)\/(5\/22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + -0.8. Let c = -8.5 + 1.1. Let l = c - -6.9. What is the second smallest value in -4\/3, l, d?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 21*t - 74415 = 0. Is t a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -4*d + 4*z, -2*d - 4*z = -3*d + 115. Let v = d - 101. What is the highest common factor of 54 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43546?\nAnswer: 2, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 726 = 2*p, p + 1722 = 5*a + 5363. Let b = -312 - a. Calculate the least common multiple of 6 and b.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455492 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q + q**3 - 4 - q + 3 - 2*q**2 + 33*q to the form w*q**2 + a + o*q**3 + i*q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 0.26 (b) -7 (c) 4 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 - w**2 - w - w**2 to n*w**2 + f*w + j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 24101\nAnswer: -37\/24101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 6.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 2*c + 11. Let j be y(-4). Suppose j*k + 3*n - 53 - 19 = 0, -4*n + 38 = 2*k. Suppose 30 = -26*x + k*x. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2265, -4596, -6995, -9462, -11997, -14600?\nAnswer: -17271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587 - 274. Let v = 312.8 - f. What is the third smallest value in v, 1, 0.5, -6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(8\/(-207))*150. Let d = b - 248495\/16. Calculate the common denominator of d and -109\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z**(-13)\/z))*z**(1\/30) assuming z is positive.\nAnswer: z**(-419\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278*o**4 - 88*o**2 wrt o.\nAnswer: -6672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h**5 + 20718*h**4 - 618*h**2 - 570 wrt h.\nAnswer: -960*h**2 + 497232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784 divided by 16.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + 65 - 73*(-1)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/152919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Suppose -2*g - 2*g = t. Suppose -2*a + 4*w = -90, g = -a + 3*w + 20 + 23. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 m when three letters picked without replacement from {t: 5, m: 3, g: 1, u: 2, p: 1, j: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 11*a**4\/12 - 4*a**3\/3 - a**2. Let s be t(8). Suppose b - s - 43 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -312*d - 3432. Let y be k(-11). Solve i + 2*b + 5 = y, -3*i = i + 5*b + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22159 is divided by 5517?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-27)\/(-2)))\/(1\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 279288 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 19997, 5, -2, 25 in descending order.\nAnswer: 19997, 25, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 6 = 6*j, -3*j + 326 = 329. Which is bigger: r or 1\/19803?\nAnswer: 1\/19803","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79542 and 1?\nAnswer: 79542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3888407 by -4.\nAnswer: -3888407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28090, 28405, 28720, 29035, 29350, 29665?\n\"Answer: 315*j + 27775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.35 * -4\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23136, 23126, 23102, 23058, 22988, 22886, 22746?\nAnswer: 22562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 846*p**3 - 59640*p**2 - 846*p + 59643 = 0.\nAnswer: -1, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1250.66 and -6503.8?\nAnswer: 7754.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366835709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:51 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 5*m - 912. Let g(o) = -8*o + 1. Let k be g(-2). Suppose -x = -k - m. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:29 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 290*c + 4838. Give x(-272).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 + 41. What is the remainder when o is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**3 + 46*p**2 - 22*p + 16. Let t(m) = -2*m**3 + 15*m**2 - 7*m + 5. What is 5*c(l) - 16*t(l)?\nAnswer: 2*l**3 - 10*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*(-2 - 4). Let y be 4\/12 - m\/(-3). Let o(r) = -r**3 + 2*r**2 + 5*r - 4. Let s be o(3). Solve -3*f = -y - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**2 + 5 - 8*y**2 + 4*y + 11*y**2. What is the common denominator of s(-1) and -43\/37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 501 + -117. Let a = -10929 + 10977. What is the highest common factor of a and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*q**3 - 201*q**3 + 387*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18 and -56\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, j: 1, b: 2, o: 1, i: 5, c: 3}. What is prob of sequence cjb?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -4*r - 78. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - a + 1, -385548*s + 4*a - 79 = -385545*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 36.\nAnswer: -5, -2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 19575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1100\/(-575) + 12\/414*-2349\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 + 188 + 67*w**2 + 16*w - 192. Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 36. Let f be y(15). Suppose -f = 3*l, 3*a - 7*l - 23 = -3*l. Solve -a = 3*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 297 = -256. Let d = 124 - f. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 - 6. Let u be 0 - 3 - 3*1. Let k(s) = 11*s**2 + 17. Give u*k(q) - 17*o(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 10886, -16\/171?\nAnswer: -16\/171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 6 + 2)*(2*q + 2*q - 2*q) - 9*q - 45 + 45)*(-41*q + 136*q - 44*q).\nAnswer: -153*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-2\/3)))**(-27)\/(s*s\/(s*s**5*s)*s**(-4\/3)*s))**(-2\/5) assuming s is positive.\nAnswer: s**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51 rounded to two dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 44*y + 119. Let i be v(-17). Solve i = 5*g + 3*w + 6, 5*g + w = 6*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkm. What is prob of sequence km?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*k - 12522 = -194*k - 1115 + 1437 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011183 rounded to 7 decimal places?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -76 in increasing order.\nAnswer: -76, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 3. Let v(i) = i. Let o(b) = d(b) + 3*v(b). Let f(c) be the second derivative of 0 - 28*c + c**2 - 1\/6*c**3. Calculate -6*f(s) + 4*o(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 136. Let y be n(0). Calculate the highest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*p, r + 3 = -2*p + p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**5\/5 + 13*p + 23. What is the first derivative of y(q) wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 67. Determine i(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 70. Let k = b + -17. Suppose k*l + 3 = 4*i, 5*l - 3*l - 12 = -5*i. Solve -3*x = x - 4*j - 16, x + j = -i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426 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 q(m) = 2*m + 11. What is the remainder when 182 is divided by q(13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21890*n**5 - 32*n**2*r**2 - 3*n*r**2 - n*r + 2*n + 10897*r**2 + 4*r wrt n?\nAnswer: 437800*n**3 - 64*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 4*n. Let m = n + -7. Suppose -5*q = -2*q - 3. Put 5, q, m in decreasing order.\nAnswer: 5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-39 - -15)) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000060488 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -136*g - 1564. Calculate v(-10).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 5 - (-1 - 7) - 20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730 and 16280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11029 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/7 - 19\/21. Let z = 10 - 12. Let t be 0 - (z - 1\/1). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.8. Let q be (-4)\/10 - 6\/(-15). Let f(p) = -p**3 - p**2 - p - 1. Let v be f(-2). What is the nearest to q in -4, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u - 5. Let l be p(-4). Let n = l - 1. Suppose 18*z = 3 + 105. What is the lowest common multiple of n and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (5 - 6 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(76) + (sqrt(76) + 0 - sqrt(76)))**2)*3 + (4 + 5 + sqrt(76))**2*-5.\nAnswer: -180*sqrt(19) - 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/114233 and -73\/265771234?\nAnswer: 1860398638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 49*j - 39. Calculate v(-28).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Suppose -42 = -i*u + u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 18*u**2 - 2*u + 33. Let g be 2\/(-6) + 1*88\/12. Let q = 11 + g. Let z be d(q). Let h(p) = -6*p + 1. Let j(m) = -5*m. Give z*j(i) + 2*h(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5c420b (base 14) to base 4\nAnswer: -30003312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2802756*r**2 - 2775346*r wrt r.\nAnswer: -5605512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3509632 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*s - 1 = 8*f, f = 5*s + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93 times -5?\nAnswer: -34.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 1548*u - 3294918.\nAnswer: -2*(u - 4257)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqriirrrrfrrrwrfru. What is prob of picking 1 i and 1 f?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 1, n: 3, j: 1}. Give prob of picking 3 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 34 = 3*w. Suppose -4*c = -w, 0*h - 1 = -h + 4*c. Let a(t) = t**2 + t + 5. What is the remainder when a(7) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 4 + -4 - (6 - 3)) + 16 + 26.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p - 2*p**3 - 7\/2*p**2 - 1 - 1\/4*p**4. Calculate r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 - 48260262*v + 194087740692387 = 0.\nAnswer: 8043377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8752.0007029 + -8752. What is t rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323 - 355 - 5*x + 3*x + 678.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59372753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443.2035t to nanograms.\nAnswer: 443203500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 66*k + 65. Calculate the remainder when 127 is divided by t(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let w = 79298 + -79284. What is the greatest common divisor of w and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/30 + 4*r**3\/5 + 73*r. Find z such that d(z) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 5842 = -33*u + 528. Calculate the highest common factor of 4654 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a. Let g(d) = -161*d**2. Calculate g(l(t)).\nAnswer: -46529*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(2\/5)\/o*o)*o)\/o)**3*(o**(-2\/5)\/o)**(-30\/13))**(-20\/7) assuming o is positive.\nAnswer: o**(-1308\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -2 (b) -4 (c) 0.03 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27509, 27881, 28257, 28637, 29021?\n\"Answer: 2*a**2 + 366*a + 27141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 + 197. Solve 4*i - 2*l + r - 4 = 0, 2*i + 2*l = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13170412 is divided by 313?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0 + 1\/4*a**4 + 0*a**3 + a - 9\/2*a**2. Differentiate r(u) with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(0 + 3\/6). Calculate the lowest common multiple of (m\/(-2))\/(5\/10) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - 7*n**3\/3 - 2*n**2 + 32*n\/3 + 32\/3.\nAnswer: -(n - 2)*(n + 1)*(n + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s*w*y**4 - 15*s*w*y**2 - 18*s + 64*w*y**4 - 1755*w*y**2 + 2573*y**4 wrt y?\nAnswer: 72*s*w*y + 1536*w*y + 61752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + h)*(-2*h + 7*h + 13*h)*(3*h - 2*h - 2*h).\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 12969*z**4 + 3*z - 12958*z**4 - 4 to b*z**2 + o*z**4 + r*z + f + k*z**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 61. Suppose 0 = -b - 2*b + 12. Factor 2*a**5 + 4*a**2 - l*a**4 + 5*a - 7*a + b - 4.\nAnswer: 2*a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2261 + 111. Is w + (-3)\/12*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 + z. Let x(m) = -6*m - 3. Let w(k) = k**2 + 2*k + 1. Let o(c) = -3*w(c) - x(c). What is y(o(a))?\nAnswer: 54*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 11*y + 12. Let l be p(10). Let g(f) = 3*f**2 - 5*f - 5. Let a(q) = q**2 - 2*q - 2. What is l*g(s) - 5*a(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165487.\nAnswer: 7, 47, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2834 = 529*x + 59 + 5377 + 7978 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9327 - 4990. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106768183 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/1182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -27*y**3 + 4164*y**2 - 4137*y = 0.\nAnswer: 0, 1, 1379\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25190\/(-12) + (87\/(-18) - -5). Let r = 1460 + b. Round r to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208916 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q + 3. Let i be h(2). Let r = 10 + i. Is (-164)\/((-6)\/r)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 1184?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1310*y + 15924. What are the prime factors of c(-62)?\nAnswer: 2, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 827 - 821. Calculate the greatest common divisor of d and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (476\/(-24))\/(12\/(-9) - -3). Let c = -23\/2 - p. Is c at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + r - 5. Let s be x(3). Suppose -h - 677 = 3*h + 5*j, -868 = 5*h - j. Let g = s - h. Calculate the greatest common factor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16306747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(18) + -5 - (3 + (sqrt(2) - -1*sqrt(10)\/sqrt(5))))**2.\nAnswer: -12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23160 is divided by 2893.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*d - 0*d - 22, 4*l - d - 8 = 0. Let x = 5.2 + -0.2. Let r = 4.8 - x. What is the biggest value in l, -0.5, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-429))\/((-4)\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393299?\nAnswer: 393299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y**2 - 42*y + 72. Determine p(2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 758794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, -1\/16, -4\/3, 0.14, -797\/2, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177488 is divided by 16132.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 131*t**4\/24 + 25*t**3\/3 + 69*t**2. What is the derivative of v(j) wrt j?\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsffsffzgcszfcsff. Give prob of sequence fsfc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 4. Let y be f(10). Let z be (-4 + 1)\/(y\/6). Is -2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 1750\nAnswer: -3\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 64 = 4*j, -2*h - 2*h - 82 = -5*j. Suppose 3*z - 53 = 2*l, 5*z - 2*l - 114 = -19. Suppose j + z = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -29. Let x = 262198 + -262151.00046. Let b = t - x. Round b to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2498 - -384. Is 2*(-2)\/((-8)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 312693 and 312837 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506923.\nAnswer: 17, 29819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 956*j**3 - 12*j**2 + 30607*j wrt j.\nAnswer: 5736*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5316465?\nAnswer: 3, 5, 7, 11, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p. What are the prime factors of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**4 - y**4 + y**2 + y**2)*(-y - 2*y + 2*y) + y**5 - y**5 + 3*y**5.\nAnswer: -4*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12397, -49579, -111555, -198331, -309913, -446307, -607519?\nAnswer: -793555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -124, -187, -250?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1008) - (1*sqrt(1008) - sqrt(1008))*6 - -6*sqrt(1008)*-2) + 5)**2.\nAnswer: -3960*sqrt(7) + 365979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -15*t**3 + t**2 - 6*t + 8. Let m be j(2). Let r = m - -397\/3. Calculate the common denominator of 4\/8 + 34 + -2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 + 657. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9618\/1374)\/(7\/31).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 150*k**2\/7 + 1086*k\/7 + 134.\nAnswer: 2*(k + 1)*(k + 7)*(k + 67)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*(-18)\/4. Suppose 1204 = -2*a + x*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2833, -1317, -1\/12, -3 in descending order.\nAnswer: -1\/12, -3, -1317, -2833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p. Let s(t) = 3*t**2 - t + 2. Let c be s(1). What is j(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5385402 decades to years.\nAnswer: 5.385402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.1. Suppose -2*m = -z + 2*z - 43, 2*m - 4*z = 58. Let b be 25\/m + 9\/(-9). Sort b, w, 0 in decreasing order.\nAnswer: w, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -412.0329 - -412. Let t = d + 0.045. Round t to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55333427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r**5 + 0*r**5 - 2*r**5)*(-104 + 48 - 76).\nAnswer: 396*r**5 - 132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340205 + 10?\nAnswer: -340165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -66. What is the first derivative of -755*m**t - 726*m**4 + 1570*m**4 - 120 wrt m?\nAnswer: 356*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -1. Suppose -413*z + 408*z - 12 = -4*h, 2*h = 6. Put z, m, -10, -1 in decreasing order.\nAnswer: z, -1, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 2700.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:41 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 869558267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -a + 4. Let b be 8\/(-36) + a\/9. Let j = -7 - b. Solve q - 4*x + j*x = -5, 0 = x - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g - 4*g**2 + 93*g - 33*g + 12*g**2 - 35*g.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*q = 349, -1730*q - 3 = -1729*q. Solve 14 = -s*z + 169*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(-1)\/t)\/t)\/t**(1\/5)*t*t**4*(t\/(t\/((t**3\/t)\/t*t)))\/t)\/(((((t**1*t)\/t)\/t)\/t)**(-4)\/(t\/(t*t**(-1)\/t))**43) assuming t is positive.\nAnswer: t**(434\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let v(f) = 15*f - 5. Let j(l) = 17*l - 4. Let z(s) = -5*j(s) + 4*v(s). What is z(o(i))?\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-7 - -7))*(265 - 262).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -332*b**3*w*x**2 + 15*b**2*w*x**3 - 3*b*w*x**3 - 3*b*x**2 - w*x - 4*w - 1 wrt b.\nAnswer: -1992*b*w*x**2 + 30*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/(-520))\/((-1995)\/(-1710))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*x + 12, -r - r = 5*x + 17. Let c = -12367\/663 + -3\/221. Let z = c + 18. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 3:13 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 11*h - 11. What is s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/8 - 4*o**3\/3 + 44*o**2. Let z(t) = t**3 - 6*t**2 - 8*t + 23. What is the remainder when p(-12) is divided by z(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5\/5 - 18*g**4\/5 + 9*g**3\/5 + 48*g**2\/5 - 36*g\/5 = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/((d\/(d*d*d**(-2\/9)*d)*d)\/d))**(5\/8) assuming d is positive.\nAnswer: d**(85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.79 - -11.79. Let q = 24641\/62 + -795\/2. Which is the smallest value? (a) r (b) 2\/9 (c) -1\/2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026278 to seven dps.\nAnswer: -0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*a + a. Suppose 118 = -4*h + q + q, h - a*q + 12 = 0. Let c = -22 - h. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 36414.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0145806 and 0.14.\nAnswer: -0.002041284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**3 - 18*r + 0*r**6 + 0*r**5 - 5\/42*r**7 + 2\/3*r**4 + 0 + 0*r**2. Find the third derivative of t(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/((-144)\/9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, -32, 7.\nAnswer: -32, -5, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 43 + 53. Let p = 44 + k. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (1 + 18 - (1165 - 1187)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 4, -43, -146, -323, -592, -971?\n\"Answer: -3*j**3 - j**2 + 15*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.99 - -1. Let m = 3.99 + s. Let p = m + -2. Sort 4, p, -4 in increasing order.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 16. Let n(u) = -u**2 + 28*u - 35. Let p(k) = -k**3 + 7*k**2 - 6*k + 20. Let g be p(6). Calculate the remainder when n(g) is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*h - 1813*h - 16805 + 96261 = 0 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-1 - -4) - -14. Suppose -t = 3*m - 60. Let g = -13 + 60. What is the remainder when g is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1. Let q(j) = j**2 + 6*j + 7. What is -5*f(o) + q(o)?\nAnswer: o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10 - 28 - 25 - 7*x + 60. What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 90.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0, 0.4, 292, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2225\/9 - -8909\/36. What is the closest to -4\/3 in f, -0.06, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/10)*s**(-3\/5)*(s\/s**(-1\/5))\/(s\/(s*s**1))*(s**0)**15*(s**(1\/2))**(-2) assuming s is positive.\nAnswer: s**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-100))\/((-24)\/20))\/((-89)\/89).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/29612 and 133\/16152.\nAnswer: 177672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 + 3*j - 2. Let i be o(-3). Suppose -u + 21 + 9 = 0. Let g = i - u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = -2*m - 106, -2*t + t - 348 = 4*m - 624 + 364 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -15, -230 in increasing order.\nAnswer: -230, -15, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + o - 10902 + 10891 = 0, -2 = 2*y + 2*o for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1953319.5 to the nearest ten thousand.\nAnswer: -1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 105 (b) 1\/6 (c) -11 (d) -1\/5 (e) 0 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 3*r - 45. Is 7 a factor of 89 + (12\/2)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488a94 (base 11) in base 9?\nAnswer: 1407674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((l*l**18)\/l)\/l)\/l)**(-3\/7))**(4\/39))**(-7\/12) assuming l is positive.\nAnswer: l**(16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 691 - 726 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 3) + (-9 - 653). Let z = 655 + g. Suppose 6\/13 - 10\/13*m + 2\/13*m**3 + 2\/13*m**z = 0. Calculate m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4868.875 millilitres to litres.\nAnswer: 4.868875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/153 and 67\/1497207.\nAnswer: 4491621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 229, 215, 201, 187?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*a - a - 36 = 0, 5*q = 3*a - 56. Let r(w) = w**2 + 4*w**2 - w + 6 + w. Let f(o) = 11*o**2 + 13. Calculate q*r(b) + 6*f(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121806 and 295728?\nAnswer: 59441328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48458212*d**3 + d**2 + 52456285 wrt d?\nAnswer: 145374636*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*l + 1617*l = -1681*l - 23459 - 485 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {l: 3, x: 2, i: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2 - 2*v**2 + v**2 + 4*v - 12*v. Determine w(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.094 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134432 + -4?\nAnswer: 134423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/140 + 4\/(-10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14225838 - -14225837.90599883. Let d = 0.094 + h. Round d to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2*v**2 + 2*n**2 - 3*n + 1790*v**2 + v - 2633 with respect to v.\nAnswer: 6*n**2*v + 3580*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4230*x + 4228*x + 17, -y + 5 = -2*x for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:20 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664\/(-96) - 5\/60?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15042?\nAnswer: 2, 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/136 and 35\/6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (19152 - 19152 + 55*f)*((-f + f - 2*f**2)*(-2*f + 3*f + f) + 0*f**3 + 6*f**3 - 4*f**3) as a*f**2 + m*f**3 + g*f + b + p*f**4 and give p.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 77?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 79*c + 369. Calculate i(4).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*y**2 + 966*y + 28638 wrt y?\nAnswer: -8*y + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15 + 41 - 15 - 13 - 8*p. Does 25 divide y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*m + 10795 = -492*m + 89*m - 26*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7, m: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102*2\/50 + 1 + 3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 11 (b) -1\/7 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -265*n**6\/6 + 287*n**3\/3 - n - 241. Find the third derivative of c(g) wrt g.\nAnswer: -15900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m + 110 = 29 - 219 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 41108, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4efa1c7 - -3?\nAnswer: -4efa1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*u - 18111, -150*g = -u - 152*g - 4521. Which is smaller: -4528 or u?\nAnswer: -4528","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.231999 months?\nAnswer: 0.201933325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 + (-77 - -146) + 113.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960321 to the power of 1\/2, to the nearest integer?\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, g: 16}. Give prob of picking 2 g and 1 a.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -894*y + 759 + 1029 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -32*m. Solve 7*n - 4*n - 2*p + 4 = 0, m = -4*n - 5*p + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3502839, 7005677, 10508515, 14011353, 17514191?\nAnswer: 21017029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 30 + 0*s + 1\/6*s**4 + 2\/3*s**2 + 2\/3*s**3. Factor z(x).\nAnswer: 2*x*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 2. Let b = 31 - 33. Let t be i(b). Suppose -2*z - 667 = a - t*a, -3*a + 400 = -z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 4. Let m be f(-2). Suppose -4*v + 4*z + 216 = m, -4*v + 3*v - z = -48. Let t = 4 + v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 13*q**2 - 2*q + 4. What is j(-13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) - (-12)\/78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*k - 18 + 2, -5*c = k + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 6, 3*w = 2*w + c + 18. Let v be (36\/w - 0)\/((-4)\/20). Let y(u) = 2*u**2 + 23*u + 1. Does 8 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (10 - -5) - 27\/(-6)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-1 - -5)*(-8 + 155\/20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19683, -19910, -20137, -20364, -20591?\nAnswer: -20818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266280*v**4 - 1572919*v.\nAnswer: 3195360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47096 and 180628.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -26*w + 0*w**2 - 17\/12*w**4 + 29\/20*w**5 + 0*w**3 + 0. What is the third derivative of v(m) wrt m?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1620, 2246, 2860, 3462, 4052, 4630, 5196?\n\"Answer: -6*k**2 + 644*k + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, 465, 8, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 926455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -126296378 take away -43652?\nAnswer: -126252726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5 - (0 - -2). Let u = -5057\/3 + 1685. Sort z, 4, u.\nAnswer: z, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7)\/q*(q**(-2\/23)*q*q)\/q)\/(q**(-1\/4)*q)**(-33))**(1\/47) assuming q is positive.\nAnswer: q**(16711\/30268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 517 + -189. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.89304 years in centuries?\nAnswer: 0.1889304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1514509 and 248.99623.\nAnswer: -1514260.00377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 24*q**2 + 38*q - 15. Let w be n(-10). Solve 3*r - 3*d = 2*d - 13, 4*r + w*d - 41 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138654 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -472? (a) 2 (b) 0.4 (c) -2 (d) 0 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4649 (base 12) to base 16\nAnswer: 1e99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 - 2*t**2 + 3*t - 2. Let f be j(1). Suppose -4*d + 3*b = f, -5*d = -b - b - 2. Suppose d*n - 400 = 12. List the prime factors of n.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*r + 19, -2 + 6 = 2*r + k. Let s be (-2 + 2 + -5)\/((-3)\/r). What is the second derivative of 15*y**5 - 2*y**s - 27*y + 7*y wrt y?\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(11\/(-44)*-16)*(-12)\/(-45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.891 + -195. Let x = o - -111.109. Let s = x - 111.00000458. What is s rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - -3.96. Let s = 7 - y. Let w = -4794.5 + 4794. Sort 0.2, w, s.\nAnswer: w, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -570 + 2272. Does 37 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-6*sqrt(128)) + 4 - (3 + -5 + sqrt(18)\/(-4*sqrt(6))))**2.\nAnswer: 11*sqrt(3)\/4 + 27769\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5*((-656)\/(-160))\/41*-14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 5*m**2 - 53*m + 267. Calculate r(5).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2. Let g(n) = -2*n**2 + 13*n. Calculate l(g(c)).\nAnswer: -12*c**4 + 156*c**3 - 507*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848386.\nAnswer: 2, 467, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4695*r = 4689*r - 120 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 + 8949801*c**2 + 35799240*c + 35799252 = 0. What is c?\nAnswer: -2, 2983271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*w - 672*w + 7195 = 370*w + 37945 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a week?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2769892428*i**2 - 11*i - 2769892428*i**2 - 17*i**3.\nAnswer: -17*i**3 - 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(-4*(-2)\/((-180)\/(-3))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/124 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 13. Let t(y) = 2*y - 12. Let q be t(r). Suppose q*z - 85 + 13 = 0. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let y(v) = 2*v + 10. Let w(f) = -3*l(f) - y(f). Let z(s) = s**2 + 7*s. Let k be z(-7). Calculate w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2857 (base 10) to base 15\nAnswer: ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 4:22 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426663 is divided by 398.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -37.\nAnswer: -11\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3735 and 10739370?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1134, 1103, 1078, 1065, 1070, 1099, 1158, 1253?\n\"Answer: v**3 - 3*v**2 - 29*v + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 3. Let u(s) = -2*s - 6. Let m(o) = 5*n(o) - 3*u(o). Let p be m(0). Suppose p*j + j = 0. Solve j = -0*t + 4*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 j, and 1 w when four letters picked without replacement from wwjppwjj?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -0*o + o, 4*r - 8 = 0. Solve -s - 4*s + 5 = 5*c, -2*s = 5*c + o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g - 410. Let d be j(0). Let t = -242 - d. Suppose -14*v = -11*v - t. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12007?\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8866 + -23.3996. Round x to 1 dp.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*z + v - 18, 4*z + v = 31. Calculate the least common multiple of 9 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 - 4*i**2 + 8*i**2)*(-2*i - 10*i + 8*i) to f*i + q*i**3 + b*i**2 + u and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4 + (-4 + (sqrt(68) - (sqrt(68) + -3)) - sqrt(68) - (5 + (sqrt(68) - (sqrt(68) - (sqrt(68) - sqrt(68)*4))))**2))*2)*-3.\nAnswer: -348*sqrt(17) + 3819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + l**2 - l + 1. Let b(t) = -10*t**3 - 168*t**2 + 4*t - 4. Let s(g) = b(g) + 4*o(g). Factor s(h).\nAnswer: -2*h**2*(h + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2\/2 + 32670*u + 326775\/2 = 0.\nAnswer: -5, 21785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + r - 6. Let o be q(2). Let u(z) = z**2 - 15*z + 19. Let w be u(14). Solve w*d - 2 + o = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -824, -3358, -7582, -13496, -21100?\nAnswer: -30394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.222 and -2.\nAnswer: -4.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33618, 67240, 100862, 134484, 168106, 201728?\nAnswer: 235350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1671852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 5)*(2 + (-4)\/8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -645 - -660. Calculate the greatest common divisor of 405 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827168 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000211 to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -74*a**7\/105 - a**6\/120 + 23*a**5\/20 + a**3\/3 - 131*a**2. Find the third derivative of h(v) wrt v.\nAnswer: -3552*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151020980*b**2 - 72827092*b.\nAnswer: 302041960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 0*a**2 + a**2 - 1. Let b(y) = 4*y**2 + 4*y + 4. Let h(d) = -b(d) - 6*m(d). Factor h(o).\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 - c - 2. Suppose -4*a = -3*o + 6, -2*a + 2*o - o = 4. Calculate the least common multiple of 16 and t(a).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/473 - -960\/3311. Let b be 1 - (-6 + 3) - -3. Let v = 10.6 + -11. What is the smallest value in v, b, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y + 249. What is the remainder when k(10) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 4. Calculate b(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 1)*(0 - 20 - 14) + 3 + 4 - 2)*(-4 + 3*i**2 + 2 - 5*i**2) in the form a + f*i**2 + j*i and give a.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -812*k**2*s**2 - 9*k**2 + k*s + s wrt s.\nAnswer: -1624*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 183615459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3435.497 years?\nAnswer: 3.435497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 11*o + 3*k - 4 = 0, -2*k - 12 = -o. Let b(n) be the second derivative of 3\/2*n**2 - 1\/2*n**3 + 1\/16*n**o - 6*n + 0. Factor b(r).\nAnswer: 3*(r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73376616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(468) + 3 + 5)*4)**2.\nAnswer: -15360*sqrt(13) + 749824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2959, 3479, 4851, 7501, 11855, 18339?\nAnswer: 27379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -23, -2, -28.\nAnswer: -28, -23, -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3*s)\/s*s*s\/(s\/((s**(6\/11)*s)\/s)))\/(s**4\/s*s**(3\/8)) assuming s is positive.\nAnswer: s**(191\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**2 - 5*b**4 - 10*b**2)*(-14 + 11 + 21).\nAnswer: -90*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -347 - -347.1. Which is smaller: -1\/2 or f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*j + 16 = -309*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 25, 30 = -g - c + 6*c. Let j = -8 + 11. Suppose 6 = -2*o + j*w, -5*o + 3*w - 10 = -2*w. What is the nearest to 2\/7 in g, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 22*n**2 + 9*n + 22. Let v be s(-21). Let r = 357 - v. Calculate the lowest common multiple of 2 and r.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 17?\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31346*p**4 - p**3*r - 8*p**2 - 29*p*r - 1 wrt p.\nAnswer: -752304*p - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 1. Let y(f) = -4*f**2 + 4*f - 4. Let a(w) = -w**2 - w. Let p(x) = 4*a(x) + y(x). What is -p(r) + 4*u(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2120)\/(-795) - (610\/(-12))\/((-693)\/36)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 299, 573, 849, 1127, 1407, 1689, 1973?\n\"Answer: k**2 + 271*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214513\/94 + 2282. Let z = w + -83\/1974. Let g be -1 - 6\/(-10) - 14\/(-60). Which is the third biggest value? (a) 2\/5 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*g = -3677069, -40*o + 5*g + 735430 = -39*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 21211221122?\nAnswer: -21211221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -52. Let i = -23 + 50. Is i > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 - (0 + (-64 - (14 - 15)) + -10)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 66, 67, 68, 69, 70?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7295.\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3*y - 7 + 4 - 34, 25*b - 2*y - 873 = -213 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1410360096 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 9*g**4 - 2*g**3 + 3 + 10*g**4 + 3 to the form m*g + k + z*g**3 + o*g**2 + u*g**4 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 67150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12317*r + 14 = -5*y + 12318*r, -7*y - 34 = r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*z**4 + 1395*z**2 + 980*z - 429*z**2 + 2*z**5 - 1914*z**3 + 2228*z**3.\nAnswer: 2*z*(z + 2)*(z + 5)*(z + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 23.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m + 290857 = 11*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41525 (base 6) to base 3\nAnswer: -21200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 6*j - 5. Let c be b(5). Let p be (-2)\/(c - (-6)\/(-15)). Suppose 0 = -p*x - 5*a + 35, -5*a = 4*x - 19 - 12. Put 2, x, -4 in decreasing order.\nAnswer: x, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*g**2*u**3 - 10346*g**2*u - 1841*g*u**3 + 2*u**3 + 217*u**2 wrt u.\nAnswer: -972*g**2 - 11046*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 1843.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 7:48 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62191803.\nAnswer: 3, 43, 109, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2126, -2135, -2158, -2201, -2270?\n\"Answer: -t**3 - t**2 + t - 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57474 + -13797. What are the prime factors of r?\nAnswer: 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -254000339 - 3?\nAnswer: -254000342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.522 + 0.122. Let v = f + 15. Round v to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000119171589 to 7 dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -15*q**3 - 3*q**2 + 3*q - 6. Let b(o) = o**2 - o + 1. Let r(l) = 6*b(l) + 2*y(l). Differentiate r(m) wrt m.\nAnswer: -90*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -70*p - 4. Determine x(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 218\/6 - 1\/3. Suppose 3*g - 99 - q = 0. Is (g\/20)\/(1\/12) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by 1307?\nAnswer: 163\/1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117190693 + 1.5?\nAnswer: 1.4882809307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6216*v + 86 = -3*r + 6221*v, 8*v = 152 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274832 divided by 772.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1275, 1281, 1299, 1335, 1395, 1485, 1611, 1779?\nAnswer: 1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -90. Let l(y) = 15*y - 5. Let u(o) = 30*o - 11. Let i(f) = 5*l(f) - 3*u(f). What is the tens digit of i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:21 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7227*l + 4. Let s(j) = 16*j - 3. What is h(s(y))?\nAnswer: 115632*y - 21677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -18. Suppose n*r - 20*r - 8 = 0. Solve 4*d - 3*v = 2*d - 13, -5*d = r*v + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 3. Suppose 0 = -h*w + 3*w + t + 50, -4*w + t = -67. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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 t and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 204304 (base 5) to base 4\nAnswer: 1222231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23898 (base 10) to base 3\nAnswer: -1012210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-20) - ((0 - (-184)\/(-17)) + (-195)\/1105)?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2542.6 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/9)*(o**(2\/29)*o)\/o)**14)**(-5\/11) assuming o is positive.\nAnswer: o**(6860\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 21*l**2 + 3*l + 33. Calculate the least common multiple of 50 and u(23).\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -942096.87 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 55.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:47 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-34))**(-7\/6)\/(y**(-3\/4)\/y*y)**(25\/6) assuming y is positive.\nAnswer: y**(333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 342007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 883 - 6187\/7. Which is the closest to 5? (a) q (b) 0.5 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231643?\nAnswer: 7, 175949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -224. Let n = z - 57. Let c = n - 32.0000044. What is c rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from cllllslllllllsls?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 1. Let x(n) = -3*n**2. Let c(u) = -5*k(u) + 4*x(u). Let b(l) = l**2. Give c(b(m)).\nAnswer: 3*m**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 149898 = 5*p - 57114, -165591 = -4*p - 3*q. Is p a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -0.4 (c) 2 (d) -119 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1390160 = 5*j, 3*m = 5*j - 87064 - 1303071. What is j rounded to the nearest 1000?\nAnswer: 278000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -344*c + 3442. Let t be h(10). Solve 5*x + 0*d - 8 = -d, 0 = 2*x - t*d - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:25 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 0*t - t + (4 + 1 + 1)*(3*t - 8 + 8) + (-4 + 5 - 3)*(-4 + t + 4) - t - t + t in the form c + a*t and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-18)\/(-1371))*(-1 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*n - 1368 = -526*n + 2674 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 15*d + 3. Let n be w(-15). Factor -n*b**2 + 191 - 89 - 90.\nAnswer: -3*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 8. Let g be w(14). Solve 7*u - g = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*l - 146*l + 35*l**3 + (4*l + 0*l - 2*l)*(4*l**2 + 2*l**2 - 4*l**2) + 0*l**3 + 0*l**3 + 2*l**3 as n*l**2 + u*l + t*l**3 + r and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 2.03. Let n = 2 - l. Let o = n + -0.2. What is the smallest value in 1, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103536820 to the nearest integer?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 2*s - 1. Let n be i(2). Let c(o) = 5*o**2 - o. Let t(w) = -31*w**2 + 7*w. Let k(p) = 13*c(p) + 2*t(p). Let l be k(n). Solve j = -l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*m - 3260 - 6263 = 9379 + 16444 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-13\/3)*f**9)**46 assuming f is positive.\nAnswer: f**(782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3) + (1*sqrt(3))**2 + sqrt(12) + sqrt(12)*-3 + sqrt(12))*-3.\nAnswer: -21 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 151768.31 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 4, -3 in ascending order.\nAnswer: -3, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z\/z**(1\/12))*z*z))\/z*z)\/(z\/(z*z*z*z**(1\/2)*z))*(z\/z**(-1\/4)*z)**(-2\/27) assuming z is positive.\nAnswer: z**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 502 and 14558.\nAnswer: 14558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-618)\/6180*(-16)\/(-20)*(0 - -5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 5*h**3 - 5*h**3)*(2*h**2 + 7*h**2 - 2*h**2) - 41*h**5 - 7*h**5 + 11*h**5 + h**5 - 2*h**5 - h**5.\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3060 and 80820.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 61*c**4\/2 - 49*c**3\/3 - 102. Find the third derivative of z(i) wrt i.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2. Let q(y) = -75*y + 1. Let a(p) = 34*p - 1. Let s(l) = 7*a(l) + 3*q(l). Calculate d(s(u)).\nAnswer: 169*u**2 - 104*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(343) + 0) - ((sqrt(343) + 2*(0 + sqrt(343) - sqrt(343)))*-4)**2)*2*-5.\nAnswer: 1750*sqrt(7) + 54880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2*w**6\/3 + w**5\/5 + 187*w**4\/2 + 11068*w**3\/3 - 5851. What is the third derivative of n(s) wrt s?\nAnswer: -240*s**2 + 24*s + 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8485\/6 + 1387. Let n = s - -27. What is the nearest to 1\/4 in 0.2, -2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2. Let a(z) = 0*z + 4*z - z. Calculate a(n(u)).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -2. Suppose w*i = i + 160. Let n(y) = -24*y. Let l be n(-2). What is the greatest common divisor of i and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 464 = -16. List the prime factors of 6822\/21 + (16\/x)\/4.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5 - 0. Let j(d) be the third derivative of d**6\/12 + 2*d**2. Is j(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 + -404?\nAnswer: -3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/7 - 747*f**2\/7 - 312*f + 7380\/7.\nAnswer: -3*(f - 2)*(f + 5)*(f + 246)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*b - 1037*b + 497*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0.1. Let g = -44671 + 44673. What is the second smallest value in k, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000609364 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0102 times 856\nAnswer: -8.7312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120815 is divided by 14960?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18100*o**2*y**2 + 5*o**2*y + 1491*o*y**2 - 296193*y wrt y?\nAnswer: 36200*o**2 + 2982*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7899 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 76 - c**2 - 8 - 8. Let k be f(0). Suppose -3*i = -8*i + k. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 8\/9 (c) 0.4 (d) 1 (e) -101\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3450*(5812821\/168 + ((-132)\/32 - -4)). What is d rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37)\/7 + 4\/14. Suppose -5*p - 2*l = -0*p + 13, -l - 5 = p. Let x be ((-12)\/162)\/(p\/6). Put y, -1\/6, x in increasing order.\nAnswer: y, -1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 14*w**2 + w + 32. Let u be b(-14). Let q be (-12)\/3*((-15)\/6 + 2). Suppose 4 = -q*x + 3*x. Solve u - 2 = -x*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 7:47 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/3 - 4*s**2 + 44*s\/3 - 16 = 0.\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 256270394.1 to the nearest 1000000.\nAnswer: 256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028717455 a multiple of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**7\/42 - 67*o**4\/12 - 11*o**3\/3 - 5*o**2\/2 - 143*o + 1. What is the second derivative of u(d) wrt d?\nAnswer: 20*d**3 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/111 or -1?\nAnswer: -25\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyxuyyyyux. What is prob of picking 1 x, 1 y, and 1 u?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65768 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 296 = 4*k + u, 4*u + 368 = 5*k. Is 41 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1108 + 1112. Determine d so that 9\/4*d - 9\/4*d**3 - 3\/2 + 3\/4*d**o + 3\/4*d**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {q: 5, x: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13831 + -106?\nAnswer: -13937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 29, -0.6, 0.5, -9, 1\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300544 (base 6) to base 9.\nAnswer: -116251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 2*r - 3728. Let m(o) = -o**3 + 2. What is -5*g(h) + 6*m(h)?\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -263, -1124, -2963, -6146?\nAnswer: -11039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from {v: 4, o: 11, g: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, s: 3}. Give prob of sequence nn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31778?\nAnswer: 2, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**2 + 425*y - 140.\nAnswer: -5*(y - 28)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:13 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3390 less than 0.1?\nAnswer: 3390.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = -5. Let w be (-2 + -2)*9\/n. Let h = w - -1. Solve 5*i + 5*c - h = 0, 3*c - 5 = -i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 - 81 - 2*i + 2*i**3 + 81 in the form l*i + t + f*i**2 + b*i**4 + d*i**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 112.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:22 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1349889625*t + 1349889625*t + 35*t**2.\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1701 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 + 36\/8. Let j(o) = -o**3 + 3*o**2 + 6*o - 5. Let z be j(c). Find the first derivative of 7*f**z + 15*f + 8 - 15*f wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 - 2.8. Let y = r + -0.5. Let p = -1 + -3. Put -2, y, p in decreasing order.\nAnswer: -2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145624229 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 737267440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7719 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 2143278474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -78. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51302 (base 7) to base 9.\nAnswer: 18125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 divided by -6?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 41*f + 175. Let q be k(14). Solve -j = 2*c + 8, 10 = -2*c + 187*j - q*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*a + 4)*(871 + 1617 + 367).\nAnswer: -5710*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2040 - 34?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -750299.901 + 754078.36527. Let q = 3778.3 - n. Let i = -0.165 - q. What is i rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130143259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-14)\/112)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c**2. Let f(n) be the second derivative of -21*n**5\/10 + 3*n**4 - 125*n. Give -f(g) + 36*p(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbwt when four letters picked without replacement from tdbwn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/160905 and 89\/1122.\nAnswer: 3539910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*h - 7, -20075*l - 2*h + 18 = -20077*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + (-11)\/2)*-88. What is the nearest to 2\/7 in f, 0.3, 3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 156*j**2 + 4263*j + 3426. Calculate r(-121).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 - (-936 - -852).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 147 = -378. Suppose 9*y = 2*y + b. Let l be ((-18)\/y)\/(6\/(-15)). Let j(w) = -2*w + 4. Determine j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1687 + 1685. What is the smallest value in w, -50\/3, 3, -0.8, -1\/5?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18851*h + 23755*h + 28018*h - 3249*h + 26210*h.\nAnswer: 55883*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 3984?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 4*o + 2. Let m(r) = 5*r**2 - 17*r + 7. Let c(t) = 9*d(t) - 2*m(t). Let a be c(0). Solve -31 = -a*z - 3*y, 5*z + 2*y - 40 = -2*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 131?\nAnswer: 7205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84774785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256554 and 16.\nAnswer: 2052432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1517 divided by 37.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/21, -6\/31, -2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.115168969 to five decimal places.\nAnswer: -0.11517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 19 - 15. Suppose -5*m + o = -4*v, 2*m = 2*v + v + 4. Suppose 5*y - t - 178 = -0*t, 0 = -4*y - v*t + 134. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r. Suppose r = 6*n - n - 25. Suppose -3 = -n*h + 37. Solve 5*f + 3*z = -h, -z = 3*f + 3*z + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 3, l: 1, j: 3, m: 2, v: 3}. Give prob of sequence mtxj.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -45415 to the nearest 100.\nAnswer: -45400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r - 1554 = 40*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 8. Suppose 3*l + l = 2*p + 8, -4 = -o*l + 3*p. What is the least common multiple of (-8)\/(-6)*5\/((-100)\/(-45)) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m**2 - 577 - 52*m**2 + 577.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88837517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 - 2 - 8*r**2 + r**3 + r**3 to h*r**3 + s*r**2 + q*r + u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 111, 2, -0.1, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + u**2 - 5*u**2 - u**2. Let o(d) = -7*d + 1. Let f(a) = 5*a + 4. Let l(k) = -f(k) + 4*o(k). Determine l(t(j)).\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/((-3)\/4). Let s = -12 + 12. Suppose w = -2*l + 2*z, -2*l - z = -s*l - 4. What is the highest common divisor of 4 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16827 divided by -6?\nAnswer: 5609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-1 + 9 + -24 - -74)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -63*j + 2. Let y(c) = -333*c + 9. Let u(x) = 11*h(x) - 2*y(x). Determine u(3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 13*o**2 + 7*o - 14. Let t be l(13). What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 1:37 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f*f**(-2)*f)\/(f**(-1)*f\/(f*(f\/(f*(f**1*f)\/f)*f*f)\/f))*(f**0\/(f**5*f))\/(f**(-3)\/(f**(-1)*f)) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239*i**6 - 40031*i**4 - 1812*i**2 + 1364.\nAnswer: -28680*i**3 - 960744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:46 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -51. Let f = 0.283 + 78.917. Let l = f - 79. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4929 and 3551?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(21\/4)*z)**(-27)*(z\/(z*z**31))\/(z**24*z) assuming z is positive.\nAnswer: z**(-1007\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -143*a**2 - 593*a**2 + 153*a**2 - 175*a**2. Let l(f) = 7*f**2. Give l(i(s)).\nAnswer: 4021948*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1128 and -38\/329.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109319387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 + 118*t + 6. Let y be i(0). Solve -15*v + y*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5034 or -5035?\nAnswer: -5034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2 + -3) + (0 - 5). Let q be 2*((-50)\/g - 2). Let t = q + 33. What is the remainder when t is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = 5*z, -3*z = -2*a + 22. Let m be z\/18 - (-3952)\/(-36). Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 - 4 = -4*s, -s + p = 1. Find the third derivative of h**4 + 0*h**4 + 14*h**s - 11*h**2 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*c + 3*n, 25 = 2*c + 3*n + 6. Solve 4*v - h = 9, 29 = 6*v - c*v - 5*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-6)\/(-63)*(-6)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, 1 k, and 1 b when four letters picked without replacement from bsspgqk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8907 less than -0.2218?\nAnswer: -8907.2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t - 34667 = -34091 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v. Suppose 29*q - 46 = 6*q. Let c(d) = 408*d + 52*d**q - 408*d. Calculate w(c(u)).\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.41764m in millimeters?\nAnswer: 92417.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**2 - 1244*o - 218. What is k(-73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 121*b**2 + 141*b - 28. Determine p(-23).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 13. Let z be b(7). Let j be 55\/(-20)*z\/(-2). Suppose j = -i + 14. Solve i*k + k = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.169 - 0.241. What is c rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6064.14 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -8 - (2 - (1 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4680 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 257 + 466. Let m(d) = 165*d - 8. Let l be m(9). Suppose -5*h = u + l. What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8481131 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 18. Suppose -h = m*h + 15. Is -4 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -70, -140, -270, -478, -782, -1200?\n\"Answer: -3*v**3 - 3*v**2 + 2*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114020412 + 201?\nAnswer: -114020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > -1609\/192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let k(h) = 2*h**2 - 13450. Determine k(d(i)).\nAnswer: 8*i**2 - 13450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390324744?\nAnswer: 2, 3, 193, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/21 (b) 2\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136649 is divided by 577.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 8) to base 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(117) - 2*sqrt(117))*6)\/(-2*sqrt(9)*6).\nAnswer: -1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -132 + 67 + (106 + -1 - 2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 506?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60391 divided by 709?\nAnswer: -60391\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let y = -1 + s. Suppose -2*k = x + 3, -3*x + 7*x - 12 = -y*k. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 m when three letters picked without replacement from {f: 3, m: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgq when four letters picked without replacement from gcnqgcnggc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 345 = -29*c - 73 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50182 is divided by 12543?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -10*b + 4*l + 14, -8 = 4*l. Solve -5*p = -b*g, p + 3*g = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 4.9. Which is the nearest to -1? (a) r (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 2*a**3 + 4*a**2 - 8 + 7 + 2 in the form v*a**3 + p*a**2 + r*a + c and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 422*5\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -156 - 60. Suppose -2*c = 5*m - 30, -m + 2*c - 6*c + i = 0. Suppose -8*r = -m*r + 20. What is the smallest value in -4\/7, 0.8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/70)\/(-4 + 19\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1169232.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g)\/(g*g\/(g**(3\/16)\/g))*g**(-7\/6)*g**(-2\/37) assuming g is positive.\nAnswer: g**(-6571\/1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 13)*24\/10. Let i = w - -2. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4 - 840*b**3 - 85788*b**2 + 174104*b - 87474 = 0 for b.\nAnswer: -239, -183, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 8*u**6\/15 - 5*u**2 - 15*u. What is the derivative of j(c) wrt c?\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -19919?\nAnswer: 19919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 474 and 343758.\nAnswer: 27156882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -295, -391, -453, -469, -427?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331 + -13221033?\nAnswer: -13231030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 286*c**3 - 10532*c**2 - 14280*c + 529200.\nAnswer: -2*(c - 6)*(c + 9)*(c + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q + 278 - 1490 = 398 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y - 5. Let d = -2 - -32. Suppose 6 = -2*j + d. What is the remainder when j is divided by w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644115 is divided by 12418.\nAnswer: 10797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 852114 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 6) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t + 3. Let h(p) = -9*p + 4. Let z(m) = 5*h(m) - 6*x(m). Let r be z(4). Is (0 - -1) + (r - 2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.5 (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.5448 - 98.1. What is r rounded to two dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 828 (b) -0.1 (c) -3 (d) -1\/2 (e) 27\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327774067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480\/12 + 6\/3 + -2 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.3, 5, -142\/21, -4, 3\/4, 2.9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-4) + -1)\/(462\/(-40040)). Calculate the greatest common divisor of 2015 and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.41, -13\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-1 + -26 - -10) - ((2 - -9) + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 4, b: 4, v: 2}. What is prob of picking 1 b and 1 k?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-2 - 1)) + (19 - 18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*u + 2. Suppose -2*m - u*m = -12. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9 + -0.1. Let d be (-1 + 0\/(-3))\/1. Let o = -39.5 - -39. Put o, d, k in ascending order.\nAnswer: k, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11203 - 1?\nAnswer: -11204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a factor of 4970810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10894 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098708 is divided by 1153.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 8)*(-4*x + x + 0*x) in the form j*x + s and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 13 - 11 = -h, -h + 2*z = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14762777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 992267072 to the power of 1\/2, to the nearest integer?\nAnswer: 31500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p. Let k be w(0). Suppose 4*i - 2*q = -102, 3*i - 3*q = -k*q - 78. Let n = -23 - i. Solve 7 = 5*o + n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(1 + 1\/(-3)). Suppose q + y = -3*q. Let p(a) = -a**2 - a - 1. Give p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 279.1, 2, -2, 22?\nAnswer: 279.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 12 + 8)*(-104*m**3 + 104*m**3 - 117*m**4) as l*m**3 + r*m**4 + p*m**2 + n + w*m and give r.\nAnswer: 2808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -364 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 37*i**2 + 4*i - 3. Give r(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11099 + 2692?\nAnswer: -9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 - 0.08. Let i = -2 - -4. What is the third smallest value in m, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 4*u - 23. Determine x(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 2*u**2 - 2*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1139, -31, -3 in increasing order.\nAnswer: -31, -3, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256164 or 256166?\nAnswer: 256166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 250534 - 16?\nAnswer: 25051e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, 4, 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78996862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.6. Let d = -6 + -144. Let z = 150.1 + d. Put i, -1\/2, 0.3, z in decreasing order.\nAnswer: 0.3, z, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 12*x**2 - 60 + 184 - 64 + 2*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -34 + 22)*(0 + -12)\/(1512\/336).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26330\/11 - -2398. Let o = 122\/33 - p. What is the smallest value in -0.5, -4\/3, o?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k. Suppose 0 = 4*o - 5*j - 23 - 23, o = -3*j - 14. Suppose -o*n + 59 + 161 = k. Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582373.\nAnswer: 11, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 1:56 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**0*b)))**(-29)*b**7*(b*b**(3\/4))\/b assuming b is positive.\nAnswer: b**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16632)\/24948*5\/(-6)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -52578*v + 7*v**3 + 115*v**2 + 52575*v + 11*v**3 as a + z*v**3 + h*v + i*v**2 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 46*p + 341. Calculate the remainder when 1275 is divided by i(-20).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(4 + 1 + -1*sqrt(847) + 5) + 5)*-3)**2.\nAnswer: -20790*sqrt(7) + 79632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q**5\/7 + 270*q**4\/7 + 180*q**3\/7 - 880*q**2\/7 - 1600*q\/7 - 768\/7 = 0.\nAnswer: -3, -4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*5\/(-50).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)\/r**3*(r*r*r\/(r*r**(-1)*r)*r)**22*(r*r\/(((r**(-2)\/r*r)\/r)\/r)*r)\/((r*r\/(r*(r\/(r\/r**(-5)))\/r*r)*r)\/r)*(r**1)**(-10\/13) assuming r is positive.\nAnswer: r**(783\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.73 + 19.41. Round z to zero dps.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 64, 83, 92, 91?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 38*a + 43. Let n be q(-39). Solve n*o = d + 24, 5*o - 3*d - 33 = -d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 73*d**3 + 2*d**2 - 74*d**3 + 2 + 0*d**2. Let n be l(0). Solve 0 = n*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -s + 1, 11 = 5*s + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 - 0.0136.\nAnswer: 35.9864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18087400 rounded to the nearest one hundred thousand?\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 22*h - 22*h + 0*h**2 + 3*h**2 - 5*h**2 + (h + h + 0*h)*(2*h - 1 + 1))*(9*h + 9 - 9).\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13512 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 77224*k\/9 - 745443272\/9.\nAnswer: -2*(k - 19306)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 56*b = -51*b - 10, -10*b = -h - 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 9*v**6\/2 + 153*v**5\/10 + 20*v**4 + 13*v**3 + 9*v**2\/2 - 44*v + 3. What is n in y(n) = 0?\nAnswer: -1, -3\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -89. Sort 0.4, -2\/9, -1, g.\nAnswer: g, -1, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*12501\/20372.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 8:40 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12031 (base 8) to base 14\nAnswer: -1c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*g - 0*g + v, 2*g + v = 49. What is the greatest common divisor of 115 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5 = -5*f, 4*f - u = 196 - 185 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 62*p - 2484 = 0. Calculate p.\nAnswer: -23, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 385975\nAnswer: 385974.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6064985\/72 + -84234. What is the common denominator of j and (-13316)\/(-2268) + -5 - 7\/49?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3206 and 48548?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -393 and -4?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -943 - -6254. Calculate the remainder when f is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/24 - l**3\/3 + 3*l**2\/2 - 4*l. Let c(f) be the first derivative of u(f). Let x be c(4). Let p(t) = 3*t. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-5))\/(-7*22\/385)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 115, 167, 217, 265, 311, 355?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796581041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is -1700 (base 9) in base 5?\nAnswer: -20141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:01 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s + 0*s**4 + 4\/7*s**7 + 0*s**5 + 0*s**2 + 0*s**6 - 17 + 11\/3*s**3. What is the third derivative of o(b) wrt b?\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6 - 6 - g. Let c be t(-2). Let o(u) = u - 11. Let n be o(11). Solve n = -5*j - c*w - 4, -j = -0*w + 3*w - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1174 + 1171. Which is the third smallest value? (a) 0.4 (b) m (c) -0.5 (d) 1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 3 = -65*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i - 3*i**2 + 6*i**2 + 7 - 4*i**2. What is the units digit of b(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*s = 118, -6*s = -4*a - 3*s + 94. Calculate the remainder when 65 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -5 (b) -2\/89 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4))\/((-198)\/(-48972)*53).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 2 - 2\/6. Suppose -f + 5*z = 3, 7*f - 3*z = 2*f - 37. Let v be (-1)\/(12\/f - 2). Is g greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -0.06, -2\/3, -7 in increasing order.\nAnswer: -7, -2\/3, -0.06, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1104 - -1150. Solve -39*q + f*q = 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-25\/3)*b**26)\/(b**(2\/3)*b*b**(2\/35)) assuming b is positive.\nAnswer: b**(3529\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1229809 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvs. Give prob of sequence xv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 7:38 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 0.05, 5, 0.3, -0.08 in decreasing order.\nAnswer: 5, 0.3, 3\/13, 0.05, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i - 56. Let p be n(4). What is the first derivative of -p*k - 70 + 7*k - 17*k wrt k?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 129 = -1272. Let f = -2743 + t. Round f to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 164*a**3 + 3*a. Let o(c) = -165*c**3 - 4*c. Let t(g) = 3*o(g) + 4*y(g). Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21759466*m**4 - 20710339?\nAnswer: 87037864*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -13*s, 4*s = c. Suppose c = -20*f - 11*f + 279. Solve -6*i + 9*i = f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 + 8*u**3 - 3*u**4 - u**3 - u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1606257304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.581 + 9.581. What is the closest to -0.3 in -3\/2, a, 348?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58366 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625920 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 442.4 and 34444.\nAnswer: 15238025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l**0\/l)\/l*l)*l)**21\/((l*l**(-1\/7)*l)\/l**(-1\/8)))**7)**48 assuming l is positive.\nAnswer: l**13446","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4785 or 4783?\nAnswer: 4785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.27, 6\/5, -0.4, 5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1. Let s(l) = -5*l**3 - 7 + 2 + 4. Let v be s(1). Let a(x) = -4*x - 11. Let d(j) = v*w(j) + a(j). Calculate d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7*g**6\/6 - 7*g**2\/2 + 7. Find the second derivative of s(o) wrt o.\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**4 + 5*g**4 - 20*g**4 + (1 - g - 1)*(-1 + 1 + g**3) + 4*g**4 - 9*g**4 - 2*g**4 to b + s*g + a*g**4 + k*g**2 + x*g**3 and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9457 - 5602. Suppose -25*g + 2845 = -d. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -0.01, 3, 0.4, -2, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -741, 5, -2 in decreasing order.\nAnswer: 5, -2, -5, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/9)\/(-4) + (-160)\/(-15). Suppose -m*w + 17*w = 1575. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:14 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 < 6\/73273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 60*y + 60. Let k be p(-1). Let l(r) = 2 + 2*r + 2 - 5 - 3*r. Let d(s) = 9*s**2 + s + 1. Calculate k*d(b) + l(b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 17 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmameemea. What is prob of picking 1 a and 2 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2231*t - 300 = -2251*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -17. Suppose -68 = -4*o - a*j, -5*j - 39 = -o - 16. Suppose 2*x = -2*x + 288. Calculate the greatest common factor of x and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.6244337.\nAnswer: -0.06244337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -e9 (base 15) to base 2\nAnswer: -11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6\/(-4)) + 0\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 10*i - 20 + 2*i.\nAnswer: -8*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 3 - 72\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/5)\/((-2)\/(-5)). Let q = j - -3. Is q\/(40\/(-42) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-15525)\/900*4\/9*2.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381350 is divided by 594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 12) in base 8?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(15\/(-74))*(3710\/28)\/53?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8 - (-22 - -8))) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {m: 2, n: 7, l: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Let p(i) = -i**3 + 5*i**2 - 4*i + 3. Let b be p(3). Let w = b - 4. Sort -1, w, f in increasing order.\nAnswer: -1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -3*x + 0 + 0*x**4 + 1\/3*x**3 + 1\/10*x**5 + 0*x**2. What is the second derivative of n(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200483317.\nAnswer: 41, 131, 163, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbwbbpp. What is prob of picking 3 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -31, -15, 23?\n\"Answer: 11*l**2 - 39*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -33*s**2 + 5*s - 1. Let u(b) = -2*b**2 - b. Let r(y) = -t(y) - 2*u(y). Let h be r(1). Calculate the highest common divisor of 28 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*f**2 - 1072*f**2 + 591*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 83, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101020310001 - -11?\nAnswer: 101020310012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -46 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20 and 1146.\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70.57991 - -0.064.\nAnswer: -70.51591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 2\/3*f**4 + 0 + 0*f + 2*f**2 + 1\/6*f**3. Let v be g(1). Solve 2*t + 17 = 5*x, 0*t - 3*t + v = x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041525 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14989026 by -192167.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -233*m**3 + 2092*m**2 + 44*m - 7. Give x(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41514 by -629.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3205564, -6411124, -9616682, -12822238, -16027792, -19233344, -22438894?\n\"Answer: l**2 - 3205563*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3476*q + 437*q - 3993*q.\nAnswer: -7032*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1699 - 824. Suppose p = 20*b - 13*b. Is b a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81, 165, 259, 369, 501, 661?\n\"Answer: s**3 - s**2 + 80*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/5 + -4)\/(2340\/(-240)) and 17\/1070.\nAnswer: 13910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 991786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 11*i**6\/90 - 101*i**5\/30 + 2*i**4 - 1191*i. Suppose n(h) = 0. Calculate h.\nAnswer: 0, 4\/11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 189 = -2*t - 223, 0 = -3*d - 5*t - 23. Let c(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 2*n**2 - 1. Determine c(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Find the common denominator of 1141\/84 - (-2)\/b and 95\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60487876 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: Let v(y) = -2*y**2 + 6*y + 4. Let j(d) = -3*d**2 + 12*d + 9. Let m(u) = 3*j(u) - 5*v(u). What is the units digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47, 54, 75, 116, 183?\n\"Answer: a**3 + a**2 - 3*a + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -6280.\nAnswer: -6280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1330507*c**4 - 2255184*c.\nAnswer: 15966084*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102003 + 10?\nAnswer: -1101333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -735198.845 rounded to the nearest 10?\nAnswer: -735200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14598 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: Is 5 a factor of 20749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/45*46\/4 - -3. Which is the third smallest value? (a) p (b) 2\/3 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/21*(2277\/539)\/23\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 64 + -7 + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/65)\/((-5)\/(-25))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 8777?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*d = 12, 5*n + 15 = -5*d + d. Let v(c) = -c**3 + 4*c**2 - c - 1. Let j = -1 - -4. Let b be v(j). Solve -3*o + b = -n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 421, 404, 361, 280, 149, -44, -311, -664?\n\"Answer: -2*j**3 - j**2 + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.5. Let u = -5\/6 - -13\/12. Are u and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 356*l**2 + 2*l + 483. Determine p(178).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -7, -4, 15, 69 in increasing order.\nAnswer: -7, -4, 15, 69, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-62 + 20 - -27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/(3 + -33)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129964524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-26)\/(s\/(s**(-23)*s)) assuming s is positive.\nAnswer: s**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24964)\/1106 + (2\/7 - (-6)\/21)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 15 + 0*g**2 + 0*g - 5\/3*g**3. Factor p(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4\/5*r + 2\/5*r**2 + 2\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 408466.8733 + -408986.87330341. Let k = 4026 + -3506. Let u = m + k. Round u to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132834 != 132829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -2*1)\/(147\/98). Let f(a) = a**3 + 4*a**2 + 4*a + 2. What is f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 204\/20 - (3 - -1). Let f = 6 - t. Is -0.2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 62*a + 105. Let j be g(-62). Solve -106 = c - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158725200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(396) + -1 + 3*sqrt(396)*2 + sqrt(396) + -4))**2*5*5.\nAnswer: -12000*sqrt(11) + 634225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 37*v + 38.\nAnswer: -(v - 38)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**4 + 12*d**3 + 12*d**2 + 4. Let g(j) = 9*j**4 + 12*j**3 + 13*j**2 + 5. Let h(n) = 5*b(n) - 4*g(n). Suppose h(o) = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 32. Let j(m) = 20*m - 17. Let t = -153 - -159. Let d(i) = -7*i + 6. Let l(u) = t*j(u) + 17*d(u). Determine z(l(k)).\nAnswer: -2*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -452*b**2 - b**4 - 4*b + 3*b + 450*b**2 - 3*b**3 - 73 as j*b**2 + x*b**4 + w*b + r + v*b**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -219 - 226 - 227 + 898 - 226 - 62402*z + (1 - 1 + 2)*(z - 2 + 2).\nAnswer: -62400*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 14 = -3*y + 5*g, -2*y - 10 = -3*g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}