diff --git "a/data/dm_maths/full_data/5586_11255.jsonl" "b/data/dm_maths/full_data/5586_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/5586_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(g) = -2*g + 2. Let n be m(3). Let y = 130\/3 - 43. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38698118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 91. Suppose -2*q + 8 = -5*a, -a - 21 = -5*q + 45. Suppose b*l + u - q - 9 = 0, 0 = l + u - 3. Calculate the remainder when 33 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 3275*p**2 + 398480*p + 395200.\nAnswer: -5*(p - 760)*(p + 1)*(p + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**4*b)\/b))\/(b\/b**6))\/(b**5*b**(-4)) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1638 and 90?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 - 711124*w - 126424335844 = 0.\nAnswer: -355562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 3. Let n be (-8)\/28 + 48\/(-28). Let s be g(n). What is the units digit of s\/2*-2*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 c when three letters picked without replacement from {f: 5, c: 1, a: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.05 rounded to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) -2 (c) 2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 3. Suppose 3*y = -4*b - 113, 4*y - 115 = 7*y + 5*b. List the prime factors of ((-826)\/y)\/(2*x\/5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 10:09 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 33116076.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11479*d + 9221*d - 2 - 7440*d + (3 - d - 3)*(0 - 2 + 0) + (-4*d - 3*d + 5*d)*(-2 - 1 + 1) + 1 + 2*d - 1 + 3*d + 0*d - d to p + o*d and give o.\nAnswer: 13270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*r - r + 80, 5*r = -2*y + 64. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 12. Let i(z) = -z**2 + 46*z - 246. Let s be i(23). Let v = s + -280. Solve 0*c + x = v*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1514 = -447*t + 582*t + 2131 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 + 2*u**3 - 6*u**3 + 2*u**3 + 0*u + 0*u + (23 - 23 + 6*u)*(-4 + 4 - u**2) + 5*u**3 + 0*u + 0*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (141\/9)\/(1\/21). Let i = 352 + p. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57689, 57746, 57803, 57860?\nAnswer: 57917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/5 and -24\/175675?\nAnswer: 175675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1358071 times 13\nAnswer: -17654923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 333203 (base 4) to base 16\nAnswer: fe3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1400 = -5*i, -3*f + 124 + 160 = -i. Let g = 1170 + i. What is g rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brbrbbbbbbbbb. What is prob of sequence brbb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 121569 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 6*z**4 - 5*z**4)*(-1 - 4 + 6) + (3 + 4 - 4)*(z**4 - z**4 - 2*z**4).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/11)\/((-36)\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 18*d**2 + 18*d + 22. Let c be h(19). Find the third derivative of -81*r**c - 12*r**2 + 97*r**3 - 5*r**2 wrt r.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2202357 * 0.046.\nAnswer: 101308.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*c - 1442, 0 = 3*m + 11 - 2. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than or equal to 2\/3194477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1) + 41 + (0 - -2). Let t = h + -38. Is 17\/3 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2 + -2 - (1 + sqrt(112) + sqrt(112) + 2) - 3*(sqrt(112) + (sqrt(112) + -6*(0 + sqrt(112)) - sqrt(112))))**2.\nAnswer: -600*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4479 + -4480.999. Let o = x - -2.01. What is o rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 151, 106, 55?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -58.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*t = 616, -5*t - 823 = -5*b + b. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*g + 11*g**3 - 48*g - 4*g**3 + 61*g**2 - 2 - 6*g**3 + g**2 wrt g.\nAnswer: 6*g + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110110001110110110 + -1?\nAnswer: 11111110110001110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-15)*24\/324.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 17. Let w(k) = -15*k - 477. Let a be w(-31). Give u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28417733*p**3 - 14208863*p**3 - 14208871*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11359*j**3 + 0*j**2 + j**2 - j**2 - 12290*j**3.\nAnswer: -23649*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/2)\/(3\/(-6)). Let j = q + 17. Let n = j - -19. Solve 5*y + 3*l = -l - n, -2*l = 4*y + 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-120)*-3*15\/(-2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/18119 in 11\/2, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let s(k) be the second derivative of 12*k + 3\/2*k**2 + 0 - 1\/12*k**4 - 1\/3*k**3. What is s(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85723870\/203091 + -8864\/21. Let m = -590147\/348156 + f. What is the common denominator of -49\/12 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - 19. Let n be j(12). Suppose -n = -6*h + 31. Suppose -5*o = -4*x + 56, -5*x - 6*o = -4*o - 103. Which is bigger: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from znneawea?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -149\/6 or -292?\nAnswer: -149\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -21 - 15. Suppose 3*c + 15 = 51. Let b be (6\/i)\/(2\/c). Is -2 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4545 and -11.66?\nAnswer: 4556.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -128. Let h(o) = -o. Let m(i) = -14*i + 3. Let a(d) = 5*d - 1. Let j(c) = -8*a(c) - 3*m(c). Let f(g) = 7*h(g) + 4*j(g). Give f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3)*40\/16 - (-34)\/10\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -11\/4*t**4 + 0*t**3 + 0*t**2 - 7 - 5*t. Differentiate s(g) wrt g.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {e: 1, i: 5, d: 2, o: 1, q: 2, v: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -173 in 3\/4, 6, 2\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/8, 0.05, 1, 8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7840\/(-8820))\/((-8)\/558)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/5, 4, 16?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + -6 + (-4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/37 - 88\/185. Put 1.7, -0.1, q in decreasing order.\nAnswer: 1.7, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 4 = -2*u, -4*k = -5*u - 18. Let s = 4.06 + -1.2. Let o = s - -0.14. What is the closest to u in o, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n - 2. Let t = -18 + 27. Let q = 3 - t. What is the tens digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 46*s - 1485. Calculate m(32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 17. Let z be v(9). Let q = 3 - z. Let i be (-554)\/(-10) + 2\/(-5). Calculate the greatest common factor of i and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4501 in -1258, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5368, 21403, 48126, 85537?\nAnswer: 133636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -774*w**2. Let x(h) be the third derivative of h**4\/24 - 246*h**2. Determine x(k(i)).\nAnswer: -774*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -897 (b) 5 (c) 2 (d) 0.24 (e) 4 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let p(z) = -61*z - 2. Let t(h) = 5*g(h) - p(h). Let u be t(2). Let s = -61 + u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -26*k - 6. Let p(j) = -9*j - 2. Let h = -105 - -88. Determine h*p(m) + 6*n(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7408.402 centimeters in nanometers?\nAnswer: 74084020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 495683?\nAnswer: -495684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-2 - 0))\/(-2). Suppose -g = -r - 1. Suppose -4*f - 5*x + 2*x + 37600012 = 0, 0 = 5*f + g*x - 47000012. What is f rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 25 + -12 - 13 - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-18) + (-8)\/(-2). Suppose 0 = g - j + 1. Suppose 2*d = 3*x + 4*d - 164, g*x = 4*d + 140. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/70*(-7)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 4de62?\nAnswer: -4de5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/7965 and 16\/21.\nAnswer: 55755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 12*z**2 + 22*z + 18. Calculate n(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 - 805*o**4 + 7515*o**3 - 22815*o**2 + 22950*o = 0. What is o?\nAnswer: -170, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 4\/9*t + 34 - 1\/9*t**2 - 2\/27*t**3. Factor b(w).\nAnswer: -2*(w - 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 36*h = 480, 0 = 5*t - 0*h + 4*h - 19 + 56 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 529 - 45381*c + 1098 + 45382*c)*(-4*c + 2*c + 5*c)*(-4*c - 3*c + 5*c) to the form d*c**2 + h*c + b + s*c**4 + v*c**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 474 + 318 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 13804.\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85198 and 8856?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 14 = 3*j, 47*k - 3*j + 19 = 43*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1573 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*l + 20, 0*l + 2*l = 4*m - 8. Let i(g) be the second derivative of 0 + 0*g**2 - 1\/3*g**3 - m*g. Let u(y) = -3*y**2. What is i(u(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1122*l**3 - 140*l**2 + 142*l**2 + 2 - 36*l - 1123*l**3 to the form a + d*l + u*l**2 + h*l**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -211210202 (base 3) to base 11\nAnswer: -11544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 + 4 - 3 - 1.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 357. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174746.\nAnswer: 2, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.7. Let h = 46 + -66. Let g be (-8)\/5*h\/8. What is the third smallest value in -1\/3, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6000220 (base 7) to base 10\nAnswer: -706006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 43. Let h = -1 + 4. Solve p = h*j - 0 + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 45*p + 37. What is z(4)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - 88) + -10 + 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 13. Let q = h + 9. Let o = -7 + 17. Calculate the remainder when o is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231067 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 8*x**2 + x**2)*(0 + 5 - 2)*(-6*x + 23*x + 13*x) as s*x**3 + n*x + u + v*x**2 and give s.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1062 and 10\/487 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2. Let j(q) = -2749*q - 29. Determine j(a(v)).\nAnswer: 5498*v**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -200, -310, -440, -596, -784, -1010, -1280?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2. Let l(j) be the third derivative of -j**4\/4 - 17*j**2. Calculate p(l(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smo when three letters picked without replacement from moossoisississmso?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1611 by 3.\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -6. Let g be ((-40)\/(-48))\/(n\/6). Suppose -o - g*l = -25, o = 2*o - 4*l - 25. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9)*(-3)\/(-2). Let w = h + 15. Suppose -2 - 2 = -l. Solve -5*y = w - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23529846 and 36?\nAnswer: 141179076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + n + 14 = 0, -5*n - 10 + 4 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = -9. Let i = -69 - -73. Suppose 0 = -i*g + l*g - 85. Solve -g = 4*s - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*v - 15, -5*p - 3*v + 0 = 5. Let j(r) = 3*r**3 - r**2 - r - 4. Let y(o) = -2*o**3 + o**2 + o + 2. Let d(i) = -3*j(i) - 5*y(i). Calculate d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 21*l**2 - 4 - 24*l**2.\nAnswer: -3*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23171004 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.8344g in micrograms?\nAnswer: 821834400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 425 = 711. Calculate the remainder when j is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -70*h**2 - 62*h - 62. Give d(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6, 3*y - 7*y = -5*t + 1987. List the prime factors of t.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/4*2. Let d be 8\/(-6)*543\/(-362). Solve -d*j + 5*i + 4 = 0, f = -j + i - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 144.013707s?\nAnswer: 0.0016668253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 0, -12, 5 in increasing order.\nAnswer: -21, -12, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-2) + (-3)\/2. Let p(f) = f**2 + 3*f + 1. Let i be p(-4). Let a = n - i. Solve -a*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from xgxiiiggxiggiixgi?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 12?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 228592 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, j: 1, u: 2, a: 1}. What is prob of picking 1 u and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 12 (b) -4 (c) 5\/4 (d) -0.3 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/(-18)) + 87 + -98. Which is the closest to 0? (a) 3\/2 (b) -0.16 (c) q (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85530 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 38*t**2 - 4727*t + 43508. Calculate n(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 6*a + 1. Let h be k(6). Suppose 6*q + 206 = r + 2*q, -2*q = -5*r + 994. Suppose -u + 63 = c - h, c - r = -3*u. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a - 117*a - 5*s + 14 = 0, -2*a - 10 = -3*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189184958 divided by 2.\nAnswer: -94592479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**3 - 7*d**2 - 7*d + 7. Let s(m) = 2*m**3 + 3*m**2 + 3*m - 3. Suppose 2*k - k - 7 = 0. Determine k*s(j) + 3*a(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(605) + 2 - (((-1 + sqrt(320) - sqrt(320)) + 5)*6)**2.\nAnswer: -577 - 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -147, -239, -399, -633, -947?\n\"Answer: -f**3 - 28*f**2 - f - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 14 + 5)*(-8*s**4 - 3*s**3 + 5*s**4 - 3*s**3).\nAnswer: 252*s**4 + 504*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 24654?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - -10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t**3 - 4*t + (t + 3*t - 2*t)*(-2*t**2 + 0*t**2 + 3*t**2) + 2*t**3 + 0*t**3 - 3*t**3 - 3*t**3 + 2*t**3 + 2*t**3)*(3*t + 2*t**2 - 3*t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.6 + -17.6. What is the third biggest value in a, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62284.\nAnswer: 2, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*((-84)\/35)\/(-3). Suppose 0 = -s*w - 3*m + 50, 38 - 147 = -3*w + 4*m. What is the highest common divisor of w and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449558619.\nAnswer: 1449558619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-18)*(-3)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times -2352?\nAnswer: 5880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 28 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19477615.5 hours in weeks?\nAnswer: 115938.1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151488421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from wflzlff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - y**2 - 28*y - 10. Suppose 5*h = -36*t + 39*t - 36, -4*t = h - 2. List the prime factors of f(h).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6314500222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*m + 65, r = 2*m + 3*m + 25. Let x be 45\/r*8\/2. Suppose -t = 2*t - x. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 1, 0 = -5*l - 3*d + 139. Solve 0 = 10*p + 13*p - l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (46 - (-15 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138\/3162305 or -1?\nAnswer: -138\/3162305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-6)\/27 + 4\/18. What is the common denominator of (-4)\/(-14) + 543\/(-14) and ((-115)\/(-1104))\/(-1*t\/116)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 2*k - k - 8*k - 7 + 7*k.\nAnswer: -3*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 383*s - 146*s + 274*s - 7154 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -26. Suppose 3*r = -p*i + 25, -7 = -3*r + 8. Solve 20 = -2*x - i*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 4*n + 20 = 0, 12 = 2*x - 3*n. Suppose x*w + 2*p = -9 + 38, 2*w - p = 17. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(304) + 2 + 1 - (4*sqrt(95)\/sqrt(5) + -3*sqrt(171)).\nAnswer: 2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqlqqqlghqlhqh. Give prob of picking 2 q.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-64)\/(-14)))\/((-22)\/88)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.33 < 6945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 c when four letters picked without replacement from wagwgcwwwwwpacgwcgw?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1350*x + 12847. Give n(7).\nAnswer: 3397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 + 4*d + 1. Let u be (-2)\/8 - 65\/(-20). Let n = 6 - u. Let k be 4 + (2 - n - -2). Give h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175582336 divided by -43895584.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-30)*-1*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Suppose -28 + 0 = -j*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:00 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(98) - sqrt(98)) + sqrt(98) + sqrt(98) + 2*sqrt(98) + sqrt(98) + 0)**2 - (sqrt(24) + sqrt(1944)*-2)\/(-1*sqrt(1200)).\nAnswer: 2083*sqrt(2)\/10 + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 6*o + 2. Suppose 0 = 4*u - 8*u. Suppose -2*p - 5*i + 3 - 5 = 0, -3*i + 6 = u. What is the units digit of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 467744464 by -116936116.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11785480 divided by 5\nAnswer: -2357096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-352)\/(-10))\/(-1) - 39\/(-195). Which is the second smallest value? (a) -1 (b) 0 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64886.9 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/3*(-1835)\/(-10). Let b = f + -195. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -1 (b) 2 (c) -15 (d) -4 (e) -142 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201411 - -140130?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2155 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4825 at least -62741\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 4*a**4 + a**4 + (-1 + 2*a + 1)*(-2*a**3 + 4 + 6 + 4*a**3).\nAnswer: 5*a**4 + 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 133*a**2 - 138*a**2 - a**3 + 2*a - 3 - 5*a + a. Determine x(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 4*v**3\/3 - 3*v**2\/2 + v + 3. Let f be a(2). Suppose 3*j - y - f = -2, y = -5*j + 7. Solve j*c - 6 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 - 1)*(2*g - 3*g + 3*g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/50 and 53\/35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 11*k**2\/2 - 15*k + 2. What is the tens digit of s(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 9*b + 10. Let k be f(-5). Is 52 a factor of 1\/(-3) + k\/6 + 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -786 + 883. Let m(y) = -4 + 43*y + 53*y + 3 + 0 - a*y. Determine m(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18713, 0, 74, -5 in descending order.\nAnswer: 74, 0, -1, -5, -18713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -78, -93, -114, -141?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 222 = 3*n, 6*q - n - 181 = 2*q. Calculate the lowest common multiple of 750 and q.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -367 + 26*g - 385 + 762 in the form z*g + j and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:52 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2551\/52 - -264\/13. Let t = -29 - p. Let y(x) = 94*x - 659. Let b be y(7). Is t bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s = -9*s + 90 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 6. Let a be (15 + -15)\/(l\/2). Let z be (-196)\/(-10) - (-10)\/25. Solve -z = -0*s - 4*s, a = b - s + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -5 - 2 - -2) + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/42 and -23\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvnb when four letters picked without replacement from uvvbn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 122 = 4*h, -12*d + 16*d = -h + 39. Suppose 1178 = 7*o + h*o. What is the least common multiple of o and 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(242) - (sqrt(2) + -5)**2*3)*-5.\nAnswer: -40*sqrt(2) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 6*n - 32 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 - 4836*o - 58176 = 0. What is o?\nAnswer: -12, 4848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6370 and 50260?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:08 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 11 = i, -2*i - 1844*p + 1843*p - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.30048 + 1.3. What is m rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/9 - 68*v**3\/9 + 124*v**2\/9 - 20*v\/3.\nAnswer: 4*v*(v - 15)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 157*b**6\/30 + 775*b**3\/6 + 814*b**2. Differentiate v(f) with respect to f.\nAnswer: 1884*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 28*v**2 - v + 19. Let h be o(14). Is (-4)\/((-763)\/(-153) - h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j + 5. Let b(u) = -7*u + 3. Let a(x) = -8*b(x) + 5*r(x). Let i(k) = -2*k**3 - 2*k**2 + 5*k + 4. Suppose 0*g = -g - 1. Determine g*i(f) + 4*a(f).\nAnswer: 2*f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 131*h**2 + 867*h - 6. Calculate k(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*j**3 + 1041*j**3 + 1004*j**3.\nAnswer: 1714*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29667174 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347\/145 - -278291\/1015. Let i = -277 + r. Let v = -120.3 - -120. Which is the nearest to 1\/5? (a) v (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 5*i**4\/2 + 7202*i**2. Let y(x) = 22*x. Give a(y(s)).\nAnswer: 1320*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -1.8. Which is the nearest to 0.1? (a) l (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58869 - 28331. What are the prime factors of q?\nAnswer: 2, 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084961785 rounded to the nearest 100000?\nAnswer: 3085000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483*q**4 + 552*q**2 + 2 wrt q.\nAnswer: 11592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8.21371 - 1119110\nAnswer: -1119118.21371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*b**5*u**2 - 1295*b**3*u**2 - b**2*u + 18*b**2 - 181*u**2 - 3 wrt b.\nAnswer: 8280*b**2*u**2 - 7770*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56.561 or -10\/187?\nAnswer: -56.561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48847, -4, -2, -1, 4, 0.\nAnswer: -4, -2, -1, 0, 4, 48847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u - 286 = -4*v, 0 = 3*v - u - 217. Let c = v - 43. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 + 2*u - 3. Suppose o - 9 = -2*o + c, -o + 3*c + 11 = 0. Let a be m(o). Sort a, -1, -2.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**44*(y*y\/y**6)\/y**5)**11 assuming y is positive.\nAnswer: y**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/7*2\/4. Let s = 24 - 25. What is the biggest value in -3\/5, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83540, 163236, 242942, 322664, 402408, 482180, 561986?\n\"Answer: b**3 - b**2 + 79692*b + 3848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -3 + -1 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1033, -4165, -9395, -16723?\n\"Answer: -1049*n**2 + 15*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2 - -10) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fch. Give prob of sequence fhc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49634390 a multiple of 3229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 390\/(-24) + 1\/4. Let m = s + 35. What is the remainder when 73 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.189 times -0.15\nAnswer: 0.02835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28302020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4 + 2*d + 0 + 4. Let z(l) = -6*l**2. Determine z(i(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(44)\/(-1*sqrt(4)).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15002)\/(-2885)*15\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 - -200. Suppose -3*k = -g + 2*k + 16, i = -5*g - k. Let a(d) = d**2 + 9*d - 10. What is a(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50509 divided by 1289.\nAnswer: 50509\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-40))\/((-9)\/(-15))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -46\/17 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**4 - 15 + 0 + 19 - 41*w**3)*(2*w - 6*w + 3*w) + (3*w**3 - 3*w**3 - w**3)*(-1 - w**2 + 1).\nAnswer: 3*w**5 + 41*w**4 + w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -99910284 divided by 33303428\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(1 - (-4 - -4)). Suppose 2*y + 6 = 2*j, r*y - 3*y = 0. Suppose -n - 3*u - 26 = -5*n, j*n + u = 26. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/3, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m*m**(3\/4)*m)\/(m**(-1))**(22\/5))\/(((m*m**(2\/17))\/(m**5\/m))\/(m**0*m**(-4\/7))) assuming m is positive.\nAnswer: m**(15377\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-4))\/((-6)\/(-24)). Suppose 0*c - 5*c + m = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -117 in decreasing order.\nAnswer: 3, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygf when three letters picked without replacement from fyygfygf.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let u(p) = -p**2 - 9*p + 20. Let y be u(-11). Let b be d(y). Solve b*o = -1 - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140038?\nAnswer: 2, 70019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21042 and 362670.\nAnswer: 181697670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.96 rounded to the nearest integer?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/32091 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/5 or -1\/247452?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:21 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 139*h**5\/20 + h**4\/3 + 465*h**2 + h - 908. Find the first derivative of r(v) wrt v.\nAnswer: 417*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, 89, 10 in decreasing order.\nAnswer: 89, 10, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 129. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.3 - 31. Let m = 5.7 + j. Which is the nearest to m? (a) 1 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d + 27. Suppose -4*r + r = -d. Let k(s) = 2*s**2 - s - 6. Let t be k(-7). What is the greatest common divisor of t and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*d = 3*d - 50, 0 = -p - 2*d + 25. Calculate the smallest common multiple of (-110)\/p*((-7)\/2 + 1) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(1\/9))\/((p*((((p\/((p**23\/p)\/p))\/p)\/p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c**2 - 2*c - 5. Let z be h(5). Let o = z - 184. Suppose -j + o = -0*j. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295*x**4 - 13*x**2 - 1095*x - 2 wrt x?\nAnswer: 3540*x**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212.0547 - -251.05376. Let z = 39 - f. What is z rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1710 and 89356734.\nAnswer: 446783670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 6, 18, 44, 90?\n\"Answer: b**3 - 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, k: 3, z: 4}. What is prob of sequence kzz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 20 - 20 + 2*b - 4 + b**3 + 4 + (2*b - 24*b - 4*b)*(-10*b**2 + 0*b**2 + b**2) to x*b**3 + t*b**2 + a*b + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - s + 48 - 13 = 0, -4*s + 26 = x. Suppose -2*v - 30 = 3*c - 166, -2*c - v + 92 = 0. Calculate the highest common divisor of x and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -11. Is ((-3)\/b)\/((-1)\/24) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-1)\/(-10209)) + -54 + 57. Suppose 0 = -39*t - 384 + s. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 3*b**2 + 4*b**2 + (4*b**2 - b**2 - 4*b**2)*(16 - 15 - 64))*(0*b + 3*b + 3*b).\nAnswer: 366*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24934, 24886, 24838?\nAnswer: 24790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1074 - 486. Does 42 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434 (base 14) to base 2\nAnswer: 1100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 45*p**3 - 266*p**2 - 19*p - 14. What is q(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 greater than or equal to 578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 - 39*z**2 - 22*z + 2. Let f be u(14). Which is the biggest value? (a) -3 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -47\/4, 3\/5, 1\/2, -0.4, -52, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8169289, 16338583, 24507887, 32677207, 40846549?\nAnswer: 49015919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4325032 + -102?\nAnswer: -4325134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 155. What are the prime factors of x(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*sqrt(208) - sqrt(13))**2 - (0 + sqrt(13) + 2)*4.\nAnswer: -34406 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:17 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -60.7. Let d = 2.9 + w. What is the smallest value in d, 0.5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -5, -0.4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 + 548*l = 0.\nAnswer: 0, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 - 321*k**2 - 19748*k - 152460 = 0. What is k?\nAnswer: -242, -70, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 8*n**5 + 180*n**4 + 852*n**3 - 2008*n**2 - 1536*n + 1152 = 0.\nAnswer: -12, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-302)\/(-28237))\/(1\/11).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*y**2 + 16*y**2 + 54*y**2 + 307*y**4 - 14*y - 4*y**5 wrt y.\nAnswer: -240*y**2 + 7368*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403230140 (base 5) to base 13\nAnswer: 448337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 113278880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**2\/2 + 5*m - 1. Let p be o(-6). Let v(q) = 5*q**2. Let j be v(p). Which is smaller: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 87, 127, 165, 201?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b838a1 - 2?\nAnswer: -7b838a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -3\/2*v**2 + 0*v - 12. Let u(o) = -16*o - 10. Let g(h) = 5*h + 3. Let b(r) = 10*g(r) + 3*u(r). What is y(b(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 33, 35, 39, 45, 53?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 26 - 29)*(58*w - 648 + 648) to b*w + u and give b.\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1191*h - 11426 with respect to h.\nAnswer: 1191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o**2 - 4 + 14*o**2 - 22*o**3 + 5. What is the remainder when a(-1) is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/3))**(-2\/33)\/((i**1*i*i)\/i)**(-1\/32))**(21\/2))**(-2\/75) assuming i is positive.\nAnswer: i**(-49\/7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 2*q**2 - 2*q - 3. Let x be i(3). Let m = 5 + 6. Suppose -d + m - 3 = 0. Solve -2*a - d = -x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98595 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -100*k**2 + 6*k - 15. Let j(n) = 113*n**2 - 7*n + 15. Give 4*j(x) + 5*s(x).\nAnswer: -48*x**2 + 2*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -62231 (base 7) in base 13?\nAnswer: -6c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6670 minus 7.80406?\nAnswer: -6677.80406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnoonn?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 - 2*r. Let d be x(-3). Suppose m = -m + d. Let q = 4286 + -4274. Calculate the smallest common multiple of m and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 - 18 - (-22 - -20))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125819?\nAnswer: 47, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 + 15*c**3 - 42*c - 9*c**3 - 761 + 42*c - 2*c**2.\nAnswer: -2*c**3 - 2*c**2 - 761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, k: 7}. What is prob of picking 1 v and 1 k?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -89, -185, -313, -467, -641?\n\"Answer: m**3 - 25*m**2 + 10*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4702b + -67?\nAnswer: 46eb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3401991691?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9 and 82\/9177.\nAnswer: 27531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 2\/149, -27, -0.2, -3?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263.093g in tonnes?\nAnswer: 0.003263093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Let r = -1365 - -1361. Put r, -7, x in decreasing order.\nAnswer: x, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*y - 30, -12*r = -15*r - 3*y + 18 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let r(b) be the second derivative of -7*b**3\/2 + 4*b. Let s(v) = -7*v. Let y = 7 - 11. Let w(n) = y*r(n) + 11*s(n). What is 5*j(u) + 2*w(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1254 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464906 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889969 (base 11) to base 3.\nAnswer: 2200002001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = b - 4*f + 385, -5*f = -21*b - b + 68 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668975.\nAnswer: 5, 26759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 + 5*y**3 + 14*y**2 - 80*y. What are the prime factors of j(18)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m - 3)*(-577 + 1060 - 555).\nAnswer: -144*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 516\/(-43) - ((-12)\/27)\/(1\/42). Suppose -28\/9 - f*a - 8\/9*a**2 = 0. Calculate a.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170) - sqrt(170)*2))\/(-3*sqrt(40)\/sqrt(4)) + -4*(sqrt(136)*1*1)\/sqrt(8).\nAnswer: -11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -27 (c) 1 (d) 201 (e) 2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -201122 and -0.2?\nAnswer: 201121.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11894371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 148533 = 18*c - 16336. What are the prime factors of c?\nAnswer: 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 g when four letters picked without replacement from bgbbgggggbggggggggg.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-12) - (-714630)\/168.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 2 + (2 + 1 - 5)*(3 - 7 + 2))*(-39*h**4 - 25*h**4 + 42*h**4).\nAnswer: -198*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 9 = 2*f + 5, -4*f + 4*t = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 8. Let x be i(5). Let y be 0 + (x + -1)*10. Let u(k) = -155*k - 155. Let q be u(-1). Solve q - y = -5*z, 7 = -n + z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-33)*-1*3. Let m(k) = 1 - k + k - k. Let y(b) = 7*b - 8. Calculate u*y(g) + 6*m(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 163 = -137. Let l = 117 + t. Calculate the remainder when 66 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 49. Let x = c + -29. Let k(z) = z**3 - 7*z**2 - z + 7. Give k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -44*p**2 - 15*p + 14. Let c be s(1). What is the units digit of (81\/c)\/(12\/(-580))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/4 + 2 + 1. Let p(y) = -y**3 - 10*y - 11*y + 3*y + 5*y**2 - 10 + 4*y. Let o be p(h). What is o rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 34. Let j = 15 - 8. Solve -4*o + o + j = a, o = 5*a - d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6.96. Let l = i - -0.34. Which is the biggest value? (a) l (b) -4\/9 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -2, 0.1, -74, 54, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/(g\/g**0))\/(((g*(g*g\/(g**(-7)*g))\/g)\/g*g*g)\/((g*g**(-2\/7)\/g)\/g)) assuming g is positive.\nAnswer: g**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {g: 2, d: 1, c: 3, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/69)\/k*(k\/(k*k\/k**(-2\/3)))\/k*(k\/(k*k\/k**13))**(-27) assuming k is positive.\nAnswer: k**(-7537\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3408)\/(-44)*(20\/(-12))\/5. Let x = -26 - k. Which is the second smallest value? (a) -0.3 (b) 1 (c) x (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3503 - 620029\/177. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*i - 5*u, -4972*i + 4*u = -4974*i + 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.831933974 to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (136 + 2)*-3*9\/(-405). What is the closest to -1 in o, 2\/11, -4, 1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {k: 2, t: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(243) - (4*(0 + sqrt(243) + sqrt(243)) - sqrt(243))) + ((sqrt(432)*1 + sqrt(432))\/sqrt(12))\/(sqrt(36)\/(sqrt(27) - sqrt(3))))**2.\nAnswer: -30276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2211*c**2*z**4 - 15729*c**2 - c*z**4 - 2 wrt z.\nAnswer: -8844*c**2*z**3 - 4*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*b - 58, -3*d + 117 = -0*b + 4*b. Suppose -4*z - n + 4*n + d = 0, 4*n + 20 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**4 + 1. Let p(a) = -6*a**4 + 19. Let g(n) = -3*c(n) + p(n). What is the first derivative of g(u) wrt u?\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1077*c + 4 - 1080*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 33*i + 92. Let o be k(-30). Suppose l - 1009 = -o*z, -2*l + 4027 = 2*l + 5*z. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88\/3, 5, 6, 3\/25?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16628589?\nAnswer: 3, 887, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*o**2 + 0)*(-2*o**3 + 2*o**3 + 2*o**3) + 2*o**5 + 0*o**5 + 0*o**5 + (-1 - 2 + 1)*(2*o**5 - 2*o + 2*o).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 7. Let q(b) = 12*b + 18. Suppose -34*o + 88 = -48. Let r(n) = o*q(n) - 11*h(n). Calculate r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*j**3*s**2 - 2*j**3*s + 2*j**2*s**2 - 4*j**2*s + 105148*j*s - 2504*s**2 wrt s?\nAnswer: 74*j**3 + 4*j**2 - 5008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*(39 + 59\/((-885)\/270))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*m - 67*m + 84. Calculate the highest common divisor of 189 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 66028*p - 9145. Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 2*d + 2. Let z be k(2). Calculate the common denominator of -55\/9 and (0 - z) + 39\/(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 129?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Suppose -77*m + 14 = -70*m. Let w be (m\/(-6))\/((-3)\/36). Solve -y*c - 19 = c + u, -3*c - w*u = 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284 and 68.\nAnswer: 4828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 241945, 482627, 723309, 963991, 1204673?\n\"Answer: 240682*b + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3928 - -8649. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 269310981 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**5\/100 + u**4\/10 - 25*u**2\/2 - 60. Let w(s) be the second derivative of j(s). Determine n, given that w(n) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 15*y = -y + 345 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 8 (c) 1 (d) 3\/2 (e) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c**3 - c**2 + 18*c + 34. Let s be x(-3). Let o = 845 + s. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 3889\nAnswer: 19445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46111*i**3 - 37 + 37 - 16187*i**3.\nAnswer: 29924*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Let o be ((-15)\/6)\/(x\/(-6)). Suppose o = -9*k + 4*k. Are -4 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/50*2*(5 + 0). Let i be (2 + 2\/l)*33\/44. Let y = 0.02 - 1.02. Which is the closest to y? (a) -0.1 (b) i (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1 - -1a?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 8\/105, 1\/9, -4, 3.35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(-16 - 1 - 15*g + 7) to the form l*g + i and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-4))\/3)\/(4*(-85)\/5440)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrciuuicwuix. What is prob of picking 2 c and 1 x?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 16*n + 2*n)*(-n - 81 + 81 - 2*n - 1 + 1 + (0 + 1 + 1)*(3*n - 5*n + 0*n))*(-1 - 1 + 4) to q*n**2 + c*n + r and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 minus 43?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + 35. Let f be n(0). Suppose w - f = -5*t, w - t + 10 = 3*t. What is the second derivative of -w*q + 27*q**4 - 9*q**4 - 5*q**4 + q**4 wrt q?\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))**(-14)*a**(2\/7)*a**(-5))\/(a*a*a*(a\/(a**(3\/10)\/a))\/a*(a*a**(-2))\/a)**(-7) assuming a is positive.\nAnswer: a**(-967\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/1985 + -399\/1985. Suppose 3*j - 3*p = -9, -p + 10 = -3*j + p. Let r = -0.6 + -1.4. What is the smallest value in r, j, n, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 52299858 divided by 6\nAnswer: 8716643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9572269 divided by -9\nAnswer: 9572269\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275186 by 12.\nAnswer: 137593\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 541217?\nAnswer: 54121b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199 and 21424340?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 124*z**3 - 15*z**2 - 4. Let a(g) = 251*g**3 - 31*g**2 - 9. Let l(n) = -4*a(n) + 9*c(n). Find the third derivative of l(v) wrt v.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/30)\/((-1869)\/(-2403))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1004, 37 in ascending order.\nAnswer: 31, 37, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174577501.\nAnswer: 7, 24939643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 87*v**2 + 167*v + 250. Calculate f(85).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -281, -511, -1107, -2069, -3397, -5091, -7151?\n\"Answer: -183*k**2 + 319*k - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 649*c**2*m + 3*m + 31 wrt c?\nAnswer: 1298*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 2*y. Give t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301696 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-55756)\/265*10\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4731 equal to -2861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4768 and 4004524.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4*y + 461*k**3*y**2 + 12*k**2*y + k**2 - 3*k*y**2 + 36*y wrt k?\nAnswer: 24*k*y + 2766*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1, -2, -16 in decreasing order.\nAnswer: 1, -2, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, l: 1}. Give prob of picking 1 l and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*k**2 - 174*k + 2 + 31*k**2 + 11*k - 255*k to the form n*k**2 + o + b*k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148379 = 354*s + 127139 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*w*z**4 - w*z - 2*w + z**5 - 183*z wrt z?\nAnswer: 2664*w*z**2 + 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 339963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 197 + -141?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/330 and -53\/10710.\nAnswer: 117810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 860318150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -214*i + 104. Let p(y) = 141*y - 70. Calculate -7*k(r) - 11*p(r).\nAnswer: -53*r + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 5*v + 5. Let b(a) = -2*a**3 - 4*a + 4. Suppose 446 - 756 = 62*p. Suppose 3*g - 20 = 4*i, 15 = 5*g + 4*i + 3. Determine g*k(j) + p*b(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:24 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 878, 1, 4, -3.\nAnswer: -3, 1, 4, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2.05, 3, 0.5, -124, 4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2518 and 270.\nAnswer: 339930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4116)\/840 + (-1)\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 + 3\/(-3). What is the second biggest value in 0.6, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 17*j**3\/3 + 2*j**2 + 43. Find the second derivative of s(p) wrt p.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 464616*z - 13491751716.\nAnswer: -4*(z + 58077)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g - 10 = -90*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:49 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/4 + 48051*t\/4 + 360495\/2 = 0. Calculate t.\nAnswer: -15, 48066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 2 (c) -1 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192991, -192992, -192993, -192994, -192995?\nAnswer: -192996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3879509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*v - 7*v + 4*v + 6*v**4 wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108714 - 33506. Let i be -2 + (-3)\/6*-14. Suppose -2575208 = -i*l - h. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338510551 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 19, 357, 1, 5 in decreasing order.\nAnswer: 357, 19, 12, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from aeaaeejjeaje.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.355 - 4.455. Let r = -6 + 5.5. Sort r, 1, -3, q in increasing order.\nAnswer: -3, r, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1157 and 4551371.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*m - 748, 2*m - 3*w - 296 = -w. Let g = m - 129. Suppose -13*b = -g*b - 40. Sort 16, b, -2 in decreasing order.\nAnswer: 16, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-366)\/198 - ((-28)\/6 - -3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-21)\/28*(-20)\/15. Sort 3\/7, q, 15, 0, -2\/5 in ascending order.\nAnswer: -2\/5, 0, 3\/7, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -4\/3*v**3 + 61\/2*v**2 - 93 + 0*v - 3\/2*v**4. Find the second derivative of x(d) wrt d.\nAnswer: -36*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5195698\nAnswer: -3\/5195698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -5, 0, 107, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 21 = -3*j - 31*q, -3*j - q = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7121464ml to litres.\nAnswer: 0.0007121464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + 3 + (sqrt(152) - (sqrt(152) + 1*sqrt(152) - sqrt(152)) - sqrt(152) - sqrt(152))\/sqrt(8))**2*-5.\nAnswer: -340 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9113 by 13768.\nAnswer: -9113\/13768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103 and 310.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - 84\/18*-3. Suppose -89 = j*g - 41. Suppose -4*p + 18 = -6*t + t, -4*t = 2*p + 4. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose w*y + 27 = 3*m + 2, 5*y = -20. Suppose -4*q + g = -121, 4*q - 122 = m*g - g. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-97)\/291)\/(2*1*2\/(-84)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose b = -h - 7. Let p be h\/(-2) - 5\/10. Solve -p*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -140\/197 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -553, -561, -569, -577, -585?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9091692.\nAnswer: 2, 3, 71, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -19 - 171. Let l = s + -19. Calculate the remainder when l is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2611*c - 2616*c - 16 = -1, -36*o + 45 = -3*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - y - 170 + 24, -5*o - 2*y + 189 = 0. Solve -p = -o + 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378)*-2)\/sqrt(6))\/(sqrt(81)*-3))**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h**3 + 3*h)*(1160*h + 1204 - 1159*h + 669).\nAnswer: 2*h**4 + 3746*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 1010110010101001011110?\nAnswer: -1010110010101001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 90*j - 108. Let m be h(2). Find the third derivative of m - 67 + 58*r**5 + 42*r**2 - 55*r**2 wrt r.\nAnswer: 3480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (37 + 4 - -3). Let c = 17 + b. Let p = 30 + c. Which is bigger: 1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2790.55 to the nearest 10.\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2414634948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20657 is divided by 111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-154)\/21 + 7)*-42076689. Let h(c) = -601598*c**2 + 2*c - 3. Let f be h(4). Let m = k + f. What is m rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 18*w**2 + 22*w - 10. Is g(19) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2331237.8.\nAnswer: 233123.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2 + 30876*j - 64242945 = 0?\nAnswer: 2895, 7397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 2*r - 2*r + 3*r**2 + 3*r**2 - 7*r**2 + (-2 + 2 + 2*r)*(-1 + 1 - r) + 7*r**2 + 0*r**2 + r**2 + 6 - 6 - 3*r**2 as b + p*r + v*r**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703 + 1010. Let f = d - 288. What is the closest to 1\/2 in -1\/10, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712053 divided by -28\nAnswer: 712053\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjohdgkkjjg. Give prob of sequence do.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12*u)\/(u\/(u\/((u\/(u*u*u**(2\/15)))\/u)))*((u*(u*u**12)\/u)\/u)\/(u**17*u*u) assuming u is positive.\nAnswer: u**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.9 - 49. Let j = -3 - w. Which is the third smallest value? (a) j (b) -0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282419 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2145\/132)\/(-65)*(-31)\/31*(-4)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -466 - 558. Let b = -550 - f. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 208\/3 + -1076\/15. What is the third smallest value in 2\/11, -0.1, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5453, -3029, 1007, 6655?\n\"Answer: 806*f**2 + 6*f - 6265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23918 (base 11) to base 10\nAnswer: 34383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -5*y - 1\/6*y**6 + 0*y**5 + 0*y**3 + 0*y**4 + 3\/2*y**2 + 0. What is the first derivative of z(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/135 - 25\/(-15)) + 418\/(-55).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 20 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487?\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 345658 and 111.\nAnswer: 38368038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 - 2 = 0. Let o be v\/(-1 - -6)*5. Put 2, o, -3 in increasing order.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -110100110000100101?\nAnswer: -110100110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(2 - 1) + -4. Let x be 1*((-29)\/y - 2\/(-12)). Suppose 0*b + 1986 = x*b + 4*u, 2*b + 3*u - 800 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*i - 13, -4 = 4*k + i - 21. Suppose -k = 2*p + 2. Put 1, p, -0.5, -0.2 in ascending order.\nAnswer: p, -0.5, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-945))\/((-2)\/182) - 6\/45?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:39 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2*2\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23475\/29 or -808?\nAnswer: -808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3270 - -5373. List the prime factors of m.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**3 + 5*c**2. Let t(s) = s**3 + s**2. Calculate -j(w) + 4*t(w).\nAnswer: -5*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 4:06 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 3696752?\nAnswer: 3696752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*i + 5*x, i - 2*x + x - 5 = 0. Which is smaller: i or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10 + 19*n - 10*n**2 - 9 - 17*n. Let w be c(-1). Is w > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1907*t**3*y**2*z**3 - 18*t**3*y**2*z + t**2*y**2*z**3 + 4*t**2*y - 39*t**2*z**3 + 3*t**2 - 3*t*y**2*z wrt t?\nAnswer: 11442*y**2*z**3 - 108*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -140) + 70 + -115?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.2 + -14.20156. What is m rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4)*(-2)\/((-2)\/7). Does 7 divide 150\/c - 15\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/18 + 4\/9. Suppose v = -3*v + 16, -4*o - 3*v + 24 = 0. Suppose -b = o*b - 4. Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from {k: 3, g: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - k + 3*k - 88, -2*w + 3*k = -28. Let q = -9 + w. Calculate the least common multiple of q and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -20, -17*i - 3*k = -18*i - 8. Let p(r) = 99*r**2 + 81*r. Let l(t) = -5*t**2 - 4*t. Determine i*p(z) + 81*l(z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1)))\/f*f)\/f**(-5)*(f*(f\/(f*f**0))\/f)**(8\/5) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -325338 divided by 54223\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c - 7. Let v(t) = -t - 1. Determine -h(f) + 6*v(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + -7. Calculate the common denominator of -2 + 4 - (-242)\/(-24) and 77\/12 + (-22)\/c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5387275 by 1907.\nAnswer: -2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3 - 191766*w**2 - 3836583*w + 4028346 = 0.\nAnswer: -21, 1, 63942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 79 - 49 - (33 + -12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(6620 - 4)*-6. Let v be (-19999 + -1)\/(m\/8508 + -14). Round v to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 741712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a - 4282 + 3847 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + -2 - (59 + -68)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 15. Let q be k(-13). Suppose -w = 5*h - 7839, 0 = -q*h + 4*w + w + 3114. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46650?\nAnswer: 2, 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129441?\nAnswer: 3, 13, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 14. Suppose -48 = -u*g + 26. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m - 68 + 34 + 34.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/38 - (-43)\/(-817))\/((-39)\/(-442))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -7514?\nAnswer: -7514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -34. Suppose -h = -f - 0*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:05 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((448\/(-120))\/4)\/((-118)\/885)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 13*f**2 + 12*f + 1. Let z be q(12). List the prime factors of 16\/(z\/(1\/2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/11 + 14*a**2 + 1004*a\/11 + 1680\/11 = 0. Calculate a.\nAnswer: -70, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + sqrt(19) + 0 + 0)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24538 is divided by 1981?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 17. Let m(b) = b**3 + 6*b**2 + 3*b + 10. What is the remainder when m(-5) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(304))**2 - sqrt(304) - (sqrt(19) + sqrt(209)\/sqrt(176)).\nAnswer: -21*sqrt(19)\/4 + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cd2 (base 14) in base 16?\nAnswer: -3f80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b + 5. Let x be h(0). Let o be (-1)\/((-16)\/5 + 3). Suppose z - o*a + 11 = -z, 3*a - 50 = -x*z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/5 - 4472*w\/5 + 555456\/5 = 0?\nAnswer: 132, 2104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 7*r**3 + 123*r**2 - 669*r - 1. Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 930, 887, 816, 717, 590, 435?\n\"Answer: -14*t**2 - t + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*a + 3*a + 4*b, b - 16 = -4*a. Let k = 48 + -33. Suppose 0 = a*r - 5 - k. Solve 0 = -d - r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 271827*f**3 + 101219?\nAnswer: 815481*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 274292?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 65, 17, -4, -26 in descending order.\nAnswer: 65, 17, 5, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwz. What is prob of sequence zw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*c - 46*c + 20. What is the nearest to 2 in 4\/9, c, -2\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 23*c**2 + 37*c**2 + 92*c**2.\nAnswer: 159*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 5*y - 5. Let d(w) = -1. Let n(s) = -s - 2. Let j(l) = -d(l) + n(l). Determine 5*j(h) - m(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 89*s**3 - 5*s**2 + 2*s. Let h(y) = -45*y**3 + 2*y**2 - y. Determine -5*h(k) - 2*i(k).\nAnswer: 47*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4179 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*v**5 + 305539*v**4 - 58303098*v**2?\nAnswer: -3600*v**2 + 7332936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 take away -1.062472043?\nAnswer: -70.937527957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62 - -3.3\nAnswer: 65.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1947890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1507, -4\/7, 0.5 in decreasing order.\nAnswer: 1507, 0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**2 + f - 2. Let p(c) = -55*c**2 - 3*c + 6. Let k(l) = -3*n(l) - p(l). Let a(u) = -20*u**2. Give a(k(d)).\nAnswer: -9680*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 73 - 19*o)*(0 + 4 + 0)*(6 + 6 + 1)*(-1 + 4 - 4).\nAnswer: 988*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.1, 4, 2\/37?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 12, -2*j + 0*j = -2*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Let w = -250 - -250.05. Which is the second smallest value? (a) t (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, x: 1, m: 3, u: 1}. What is prob of sequence umm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -1. Suppose 0 = -2*l + 4*l, k = -2*v - l. Is (2\/4)\/(v\/(-108)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*i = -27, -3*m - 1043 + 1054 = -i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.84 and -320.\nAnswer: -330.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7321331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 0, -c = c + 3*f - 147. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -61*g**6\/60 - 8*g**4 + 4*g**2. Find the second derivative of d(b) wrt b.\nAnswer: -732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 54 - 54)*(-f - 1 + 11*f + 2*f) in the form k*f + u + y*f**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o - 127 = 0. Let n = o - -197. What is n rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5582 (base 10) to base 2\nAnswer: 1010111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152199 or 152200?\nAnswer: 152199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 117*c - 208. Determine o(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 13 = m + 4*d, 4*m - 28 = 4*d. Suppose h - 6 = -h. What is the second derivative of -3 - s + s**h + m wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3811.5 - 3811. Let n = -39 - -38.9. Which is the second biggest value? (a) g (b) n (c) 2.4 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 + 4*y**3 - y**3)*(7 + 2*y + 18 - 4) to p + w*y**4 + o*y**3 + l*y**2 + b*y and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:40 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -102851300 rounded to the nearest 1000000?\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 9905*i**3 - 198388*i**2 + 1111408*i - 1905600.\nAnswer: (i - 12)*(i - 4)**2*(i + 9925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:21 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -347611831 + 0.293\nAnswer: -347611830.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/((-5)\/50*14\/56)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*h**4 + 56*h**4 - 95*h**4)*(-5*h + 4*h + 0*h) + 0*h + 2*h**5 + 0*h.\nAnswer: 122*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.1, 6656, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -0.1 (c) 1\/3 (d) 8\/8511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.065255 and -86.12994.\nAnswer: -86.064685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 45, 113, 229, 405, 653, 985, 1413?\n\"Answer: 2*l**3 + 6*l**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109, -734, -2415, -5680, -11057, -19074?\n\"Answer: -88*g**3 - 9*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/7 + 519*b**2\/7 + 11845*b\/7 + 30837\/7.\nAnswer: -(b - 541)*(b + 3)*(b + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-9) - (-10)\/(-45). Suppose 5 = -5*r + 6*r, 20 = 5*u - r. Solve -y - v = 0, 2*t - 7*t - 5*y = -u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -0.4 (b) -31 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + 0*w)*(40 + 3 - 6).\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:30 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192)*4 - (2 + (sqrt(192) + 1 - sqrt(192))) - -2*((sqrt(192)*-2 - sqrt(192)) + sqrt(192))*5) + 0)**2.\nAnswer: 576*sqrt(3) + 27657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-seven quarters of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_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 common denominator of 286\/297 + (-2)\/1 and 4\/6 - 228\/(-96)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.70726619 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274926295 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6568 by -4.\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 5 - (6 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**5\/20 - 4*h**3 - 51*h**2\/2 + 68. Let m(a) be the second derivative of q(a). Let y(n) = 2*n**2. Give y(m(o)).\nAnswer: 18*o**4 + 288*o**2 + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 1\/4, 3, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-40) + (-390)\/80. Put -7, -1, j in ascending order.\nAnswer: -7, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37979 is divided by 211.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/16, 0.2, 0.92, -1\/3, 3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -154072 at most -154068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 - 199. Which is the closest to 3? (a) 4\/9 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787 - 0.0751?\nAnswer: 2786.9249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/21)\/v)\/v*v*v**(3\/7))\/(v\/(v\/(v**(3\/4)*v))*v**(-5\/6)) assuming v is positive.\nAnswer: v**(-39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 + 5*r**4\/24 + r**3 - r**2. Let t be q(-4). Calculate the greatest common divisor of 14 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30891*g**2*l - 5937*g**2 + 680*g*l + 30266*l wrt g?\nAnswer: -61782*l - 11874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 3*y, -j - 42 = -3*j + 2*y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -26, -40, -56, -74, -94?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**2\/7 + 17697*g\/7 - 26532\/7 = 0.\nAnswer: 3\/2, 2948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32251, 32253, 32255?\nAnswer: 32257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c + 64 + 47 = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24765201*t**2 + 11603007 with respect to t.\nAnswer: 49530402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21428760319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2184\/(-1392) - (1 - 3\/(-2)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25040336.2 rounded to the nearest ten thousand?\nAnswer: -25040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2 - 22 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h + 24 - 6*h**2 - 19 - 13. Suppose 14*g + 34 = -22. Let u(f) = -2*f**2 + 4*f - 3. Determine g*x(l) + 11*u(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**5 + 122226*a**3 - 6621175*a**2.\nAnswer: 300*a**2 + 733356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.644 times 32801\nAnswer: -21123.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 13. Let p(l) = 3*l + 6. Let x(r) = -7*p(r) + 4*t(r). Let h be x(4). Solve -5*z = -h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**5\/25 - o**4\/20 + o**3\/5 + o**2\/2 + 2*o\/5 - 15. Factor d(v).\nAnswer: -(v - 2)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130\/455*(-7)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3981757.\nAnswer: 13, 17, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40466 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0535 and 0.00577.\nAnswer: -0.04773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5525 + -5455?\nAnswer: -15424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79065 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-22)\/(o**(-5)*o**(-4)) assuming o is positive.\nAnswer: o**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2138629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = 5*w + 111, 0 = -4*b + w + 279. What is the greatest common divisor of 7532 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6994 + 21106 = -294*v for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 15. Find the third derivative of -6*t**6 - t**6 + 7*t**6 - 2*t**6 - n*t**2 wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47877 is divided by 15871?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 8. Suppose 4*n + 1 = -g. Is (-3)\/(-2) - 9\/n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 1. Let s be t(-2). Let u = 23 + s. Calculate the common denominator of -3\/16 and (63\/35)\/(u\/45).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 21 + 4. Let u be (-3)\/(-9) - (1 + 0). What is the smallest value in u, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*a**4 - a**3 + 37*a**4 + 0 + 2 to the form t + h*a + r*a**4 + b*a**3 + z*a**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1}. Give prob of sequence pi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -43b?\nAnswer: 43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(14) + (2*sqrt(1134) + sqrt(1134) - sqrt(14)))\/(sqrt(98)*-5*1) + 0.\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - ((sqrt(192) + sqrt(192) + -1 - sqrt(192))*5 + sqrt(192) - sqrt(192)) - (sqrt(192) + 0)*-1)**2 + 4.\nAnswer: -240*sqrt(3) + 1757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 127430118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 + 0)*-4)\/((-85)\/(-10) - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/76113, -2, -0.3, -5, 2\/9, 0.09?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2\/(-2) - -2). Let p(g) = 10*g**2 - g. Let z be ((-8)\/20)\/((-2)\/10). Let f(x) = -3*x**2. Let u(j) = z*p(j) + 7*f(j). Calculate u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 77.68\nAnswer: 2718.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 12. Let o be (-20)\/(-5) - 3 - -7. Let l be m(o). What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194698 greater than 194698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n + 4 = 0. Let u(v) = -8*v. What is the remainder when 30 is divided by u(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28519296 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 240, 479, 706, 915, 1100?\n\"Answer: -m**3 + 246*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8305987079?\nAnswer: 13, 23, 4363, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*f - 28, 0 = -f + 4*r + r + 16. Let t be (-53)\/(-11) + -1*(-2)\/f. Solve 0 = 2*x + 2*c - 0*c - 10, 4*c + 16 = t*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28148173 and 12295?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvvllvvvvvvllvvlvl. What is prob of picking 1 v and 2 l?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 2)*(0*d + 3*d - 5*d) - 7*d - 109 + 109)*(28499*d - 224*d**2 - 28499*d) to s + u*d + l*d**2 + c*d**3 and give c.\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a + 3. Let u(d) be the second derivative of -25*d**3\/6 - 5*d**2\/2 - 168*d. Calculate -11*g(t) - 6*u(t).\nAnswer: 7*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/52 and -1\/30.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 319 or 359?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 - 4*l - 1. Let w be p(3). Let h = -14 + 33. Let b(x) = -x + 21. Let c be b(h). Solve 10 = w*t, -c*a + 5*t + 5 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4919*g. Let m(s) = s. Determine m(v(l)).\nAnswer: 4919*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 85 = 6*n. Suppose n = 4*d - 3*d. What is the remainder when 50 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.83404 hours to microseconds.\nAnswer: 359402544000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let y(o) = -7*o**2 + 2*o. What is h(y(n))?\nAnswer: 7*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 78*x**2 - 35*x + 30. What is the hundreds digit of c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545981.\nAnswer: 109, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2) + -3 + 5. Let r(t) = -4*t**2 + 2*t - 1. Let g be r(1). Sort c, 6, g.\nAnswer: g, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*6*2\/16. Let z(i) be the second derivative of -i**4\/12 - i**3\/2 + 5*i**2\/2 - 6717*i. Determine z(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 3720127580.\nAnswer: -3720127587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**33\/(x\/x**(-13)*x)*x**(1\/17)*x*x**(-13) assuming x is positive.\nAnswer: x**(103\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23332086?\nAnswer: 2, 3, 1296227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*y + 7*y. Suppose 6 = -y*q - 4. Let w(l) = -2*l**2 - 3*l. Give w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 49. Let l be u(9). Let a be ((-260)\/(-91))\/(l\/42). Calculate the greatest common divisor of a and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 8. Determine a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*z = -1239 + 86, 0 = l + 2*z - 1158. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 172\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -0*y - 4*h, 4*h + 12 = 0. Let q(a) = 3*a + 0 - 1 - y - 2. Let x be 3\/6 - (-7)\/2. What is q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12) + 345\/(-18)*-1. Let n(z) = 3*z - 60. What is n(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let r(d) be the first derivative of d**3\/3 - 2*d**2 + 2*d - 5. Let j be r(1). Which is the second smallest value? (a) 0.5 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -x - 3, 0 = x + 3*l - 0*l + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3064)\/(-2298)*(-4)\/(32\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**2. Let m(a) = -2*a**2. Determine m(p(u)).\nAnswer: -162*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4453 + 1592 + 4412 + 499 + 12748)*(-1 - t**3 + 1).\nAnswer: -23704*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -99, -153, -225, -321?\n\"Answer: -v**3 - 35*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-95)\/(-25) + -5)*50\/(-4). Find b such that -27*b - 20*b**2 + 3*b - 16*b**2 + n*b**3 - 12 - 3*b**5 + 33*b**2 + 3*b**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 0. Suppose 0 = -4*n + 3*k + y, 0 = 5*n - 2*k - 2*k - 19. Suppose 3*z = -6*j + 2*j + 34412, -2*j = -n*z - 17188. Round j to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -53*y - 307. Give j(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112154 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2113205618334057 + 11044965013009628200579\/5226640. Let s = x - 8157\/6320. Let z = s - -10\/827. Find the common denominator of z and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 175*m**2 + 427*m + 165. Calculate z(-85).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -6, -39 in increasing order.\nAnswer: -39, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/7, -5\/4, 0.3, -3 in ascending order.\nAnswer: -3, -5\/4, 2\/7, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111100 + 101110?\nAnswer: -11100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 8 = 0. Suppose -4*s + 1584 = v*r, r = -3*s - s + 393. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and -73?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:37 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 816, 308, -200, -708, -1216, -1724?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5064 and 103179.\nAnswer: 825432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*c - 4353 = -2209 + 2476 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*(-300)\/80?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2))**(-2\/5)*n**(5\/3)\/(n\/n**5) assuming n is positive.\nAnswer: n**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2077 divided by -285069.\nAnswer: 2077\/285069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65641133071 from -2.\nAnswer: -65641133073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 1. Let w be n(-1). Solve w = c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -10*p**3\/3 - 19*p. Let k(o) = o. Give k(m(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120250948.\nAnswer: 2, 30062737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -53 - (101 + 5 - 91).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1039 or 1037?\nAnswer: 1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.68 - 4.18. Let y = 21.43968 + -23.94. Let a = n + y. Round a to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 6933696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35246 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 2*q = -24*t + 2878, -4*q - 5764 = -4*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13089350 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*n + 5*u, 20 = 5*u + 40. Let i(r) = -r**3 + 12*r**2 + 3*r - 12. Determine i(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**4\/8 - 22*s**2. Let d(w) = 5*w**2 + 3*w**2 - 6*w**2. Calculate d(z(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-13))\/(1\/(-7))*2\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*p**3*y**3 + 239*p**3*y**2 + 3*p*y**2 - 3*y**3 wrt y.\nAnswer: 288*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/(c*c**14) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*l, -2*v - 14 = -0*v - 5*l. What is the remainder when (-2*2\/1)\/(-1) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = 5. Put g, 9, -5 in descending order.\nAnswer: 9, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37096164424260 less than 11?\nAnswer: -37096164424249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*i - 44 = 0, 4*y - 58 = 5*i - 10*i. Suppose 4*p + y = -4*u, 0*u - 2*p - 6 = -3*u. Solve u = 3*z + 20 - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 2*q**3 + 3*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52 - 9 - 11 + w wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m = 93. Suppose -3*g**4 - 33*g**3 + m*g**3 + g**4 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*l**5 - 1251348*l**4 + l**2 - 3201969*l wrt l.\nAnswer: 780*l**2 - 30032352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1c (base 14) in base 3?\nAnswer: -10112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 110b?\nAnswer: -110e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g. Let c(y) be the second derivative of y**3\/6 - 20*y. Calculate 6*c(a) - p(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 430*c**2*r**3 + 2*c**2*r + c*r - 3*r**2 + 220 wrt r.\nAnswer: 2580*c**2*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10341*l**3 + 375*l + 9620*l**3 + 10*l**2 - 10*l**2 wrt l?\nAnswer: -4326*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -2\/9, 14, -41?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Let w(n) be the first derivative of -8*n**3\/3 - 1. Calculate w(m(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878323?\nAnswer: 1878323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 - -220. Let z = 5.4 - -0.6. Let p = z - 13. What is the closest to d in -0.3, p, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*f + 48. Let p(i) = i**2 + 4*i - 1. What is p(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1076356641 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 - 13*s**2\/6 + 109*s\/6 - 95\/6.\nAnswer: -(s - 5)*(s - 1)*(s + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 16 = 70. Let v be ((-12)\/9)\/((-4)\/(-18)). What is the units digit of o\/v*52\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -2, -5, 24600, -12 in decreasing order.\nAnswer: 24600, 5, 2, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*u - 239999 = -113*u + 72948. Let a = 105267529 - 12526935791\/119. Let n = a + u. Are n and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -56. Calculate the greatest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 17*g - 20 = 0. Suppose -g*y - 5 = f, -y - 4*f = -5*y + 20. Solve -n + 4*h - 1 = y, -3*h - 1 = -4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -12*r + 191. Let j = 337 + -324. What is the remainder when u(j) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2 + 72*s + 75. Let z be j(-8). Which is smaller: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 30*t**3 + 87*t**2 - 96*t + 36.\nAnswer: 3*(t - 6)*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**1)*q)**(-2\/21)*(q*(q*(q\/q**(-1))\/q*q)\/q)\/q**(-3\/11) assuming q is positive.\nAnswer: q**(712\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1013 - 358 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 261. Suppose 2*h + 90 = -u. What is the common denominator of 3\/h - (-20)\/(-50) and -113\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2071*c - 8805 = 11081 - 3318 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 7*s + 9175. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -85473.02.\nAnswer: -85475.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 11*i**2 - 33*i + 95. What is b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.04 (b) -3 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 2*u**5 - u**5 + (3*u - 3*u + 2*u**3)*(u - u + 2*u**2) + ((-3 - 2 + 7)*(4*u + 2*u**2 - 4*u) + 30 - 30 - 9*u**2)*(65 - 65 + 9*u**3).\nAnswer: -44*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5162 + 5162.04. What is the fifth biggest value in 5\/3, b, -2, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Suppose p + 3 = 2*r. Suppose 15*t = 8*t + 35. Solve r*f - 2*s = -4, -8 = t*s - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7206 and 18949378.\nAnswer: 56848134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 0*l**5 + l**4 + 0*l**4 + (-3*l**2 - 2*l**2 + 4*l**2)*(-4*l**3 + l**3 - l**3).\nAnswer: 2*l**5 + l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 7. Let u be j(2). Solve u = -5*f - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Let v(h) = -h**2 - 40*h + 976. Let g be v(17). Let o be (2 - 7\/2)*-4. Solve -g*t + o*t - 1 = k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*b - 100*b + 222*b - 475*b**2 - 240*b - 5*b**4 - 170*b**3 = 0.\nAnswer: -31, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260.5*-0.3.\nAnswer: -378.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h**3 + 252*h**2 - 801*h - 102. Let d(v) = -17*v**3 + 248*v**2 - 802*v - 101. Let w(x) = 4*d(x) - 3*j(x). Factor w(i).\nAnswer: -(i - 7)**2*(17*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.276?\nAnswer: 0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/14)*m*m*m*m**(4\/5))\/(m*m**(-2)\/m*m*m**(-2\/3)) assuming m is positive.\nAnswer: m**(1103\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8.5. Let v = l + 0.5. Let o = 2 - v. Which is the third smallest value? (a) -2 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba2 (base 15) in base 13?\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**4\/6 - 11*o**3\/6 + 17*o**2\/6 + 11*o\/6 - 2 = 0.\nAnswer: -3, -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**2 + 50*a - 13. Let n(q) = 7*q**2 + 24*q - 7. Determine -11*n(s) + 6*p(s).\nAnswer: s**2 + 36*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -2.6. Which is the second biggest value? (a) z (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2646.41499150259 + -4.\nAnswer: 2642.41499150259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 0, -d + 3*c + 5 = -4*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 76*c + 23*c - 267 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 + 61*a**2 - 168*a - 2. Calculate the remainder when i(11) is divided by 764.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*155\/(-1240).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-506)\/(-69))\/((-2)\/6). Let w be (-5)\/m + 11\/(-22). Is w equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*t*v + 12*n*t - 4*n*v + n - 209*t*v - 8863*v - 4 wrt t.\nAnswer: -2*n*v + 12*n - 209*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 2130, 7207, 17092, 33387, 57694, 91615, 136752?\nAnswer: 194707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-6)\/(-108)*18\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*w - 0*w + 35, -3*w = 4*s. Suppose 2*r - 55 = -s*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -400 + 0*d**2 - 120*d - d**2 - 4*d**2 + 0*d**2.\nAnswer: -5*(d + 4)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - -16. What is the remainder when 162\/d + (-3)\/5 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eded when four letters picked without replacement from {e: 2, d: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-704)\/66*59*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Let n(h) = h**2 + 9*h + 24. Let i(a) = -2*a**2 - 8*a - 20. Let g(c) = 6*i(c) + 5*n(c). Calculate l(g(t)).\nAnswer: 14*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13151.\nAnswer: 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 892*s**2 - 17772*s - 16884.\nAnswer: -4*(s + 1)*(s + 21)*(s + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135)\/(-75)*225\/162. Factor -15\/4*o**3 + w*o + 0 - 25\/4*o**2.\nAnswer: -5*o*(o + 2)*(3*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29043552 is divided by 1087?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2784 is divided by 63.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + 2. Suppose 0 = -g - 0*g - f*v + 19, -35 = -5*g + 5*v. What is the least common multiple of g and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*w + 13, -10*n + 5*n = -4*w. Solve 3*a + u = 8*a - 24, u - 12 = -n*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = r - 49, 5*c + 159 - 229 = -4*r for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.3 - 10.73. Let u = -1.57 + h. What is the second smallest value in -0.4, u, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m - 3. Suppose 25 = 5*d + p, -2*d = -d - m*p - 5. What is the remainder when (-1 + 3)\/(-1) + 10 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*m = -7471 - 862 - 1567 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 36. What is the remainder when q is divided by (-4 - 100\/(-12))*(4 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15584*i**3*n*o - 2*i**3*o + i**2*n*o**3 - 2*i*o**3 - 13848*o**3 wrt n.\nAnswer: -15584*i**3*o + i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161967 is divided by 4624?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -343\/110 + 33\/10. What is the third biggest value in j, 3, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (28 + -33)) + -4 + -5 + 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/59450 and -97\/71340?\nAnswer: 356700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -776172*v**2 - 5*v + 5883444 with respect to v.\nAnswer: -1552344*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 34*d - 12*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 11:50 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 18. Let v be z(-14). What is the highest common divisor of 32 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/52628005 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.205 from -88974.\nAnswer: -88967.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111561 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*s + 3 + 9*s**2 - 40*s**2 + 31*s**2 - 417*s**5 wrt s.\nAnswer: -8340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -3048, -427, -3\/5?\nAnswer: -3048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 172*k**2 - 169*k - 372. Calculate v(87).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000346018563 rounded to seven decimal places?\nAnswer: -0.0000346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/16)\/(67325\/(-646320))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.7 (b) 4 (c) 2.74 (d) -2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10794399 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 2 - 20 = 0. Solve -m - 1 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h + 2. Let q be 1\/h*0\/(-12). Suppose q*j + 74 = 2*j + n, 4*n + 159 = 5*j. What is the highest common divisor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 - 7*w + 4. Let k be f(-4). Let z(y) = k*y**2 - 2*y**2 + 7*y**2 + 0*y**2. Let j(d) = -4*d**2. Determine j(z(b)).\nAnswer: -100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -24, -14, 2?\n\"Answer: 3*r**2 - 5*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*a + 1562 - 1562)*(7 + 39 + 49).\nAnswer: -13015*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, s: 3, g: 2, x: 1}. What is prob of sequence wxgg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s. Let a be (-7 - -7) + -2 - (s + 66). Is a greater than -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/12 of a hour in seconds?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 24 = -0*a - 2*a - 3255*l + 3254*l, -a - l = 6 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - h - 1020, -11 - 9 = 4*h. Let y(v) = -v**3 - 5*v**2 + 2*v - 4. Let u be y(-4). Is 4 a factor of w\/u + 1\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4683?\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiooiiooii. What is prob of sequence iooo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:13 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 8*o - 10. Calculate p(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48522616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t - 3. Let l(a) = 5*a + 3. Let y(q) = -7*k(q) - 6*l(q). Let m(o) = 4*o + 4. Let v(p) = -6*m(p) + 5*y(p). Let h = -1 + 5. Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19 = -2*o, b = o + 2*o - 3. Suppose 0 = -4*v + 3*d + 3154, o = -d - 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/(-1998))\/(9\/(-1887)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*v - 3*v - 4 = -0*v + 5*g, 65*v - 2*g + 398 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -10\/3*h**3 + 25\/2*h**2 - 2 + 15*h - 5\/12*h**4. Let w(t) = 0. Calculate t.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w**2 - 1090*w + 2076. What is h(-70)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7001871 millimeters to micrometers.\nAnswer: 700.1871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4054, 4076, 4098?\nAnswer: 4120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnwznnwwhwsznzwsh. What is prob of picking 1 w and 2 z?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 37. Let l be (-8)\/(-12)*z + (-1)\/(-3). Let n be 2\/(144\/(-15))*-4. Is l at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**2\/2 + 5*s + 180. What is m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2 and -87\/1125212.\nAnswer: 1125212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1276\/(-110) - ((-14)\/(-10) + -1). Let s be d\/(-3) + (-4 - 1). Let w be (s - (-36)\/10) + (-9)\/15. Solve -5*x - 28 = -2*j - 6, -2*j - x - w = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/999)\/((-2)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.5 + 65.5. Which is the closest to -1? (a) -2 (b) r (c) 1\/5 (d) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16377 is divided by 818?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Let m = a + -3. Suppose -v = -m*u + 65, 5*u - 2*v + 3*v = 103. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 5*j = 280*j + 4355 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*w = -0*j - 24, -30 = 4*j + 2*w. Let q = j - -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: List the prime factors of 937718.\nAnswer: 2, 468859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1110, -0.05 in increasing order.\nAnswer: -2, -0.05, 0, 1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -47 + 50 + 1179 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -r - 22 + 4, 0 = 2*r + 3*s + 21. Let p = 52 + -15. Let o = r + p. Solve -q = -5*k + o, 2*k + k + 2*q - 21 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 - 345 = -36*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -0.6, 0.4, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 17*c**2 + 35*c**2 + 3 to l*c + w + g*c**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 4138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(-2*a**2 + 3*a**2 - 2*a**2) + 32*a**2 - 344*a + 344*a to r + k*a**2 + h*a and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667712 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.6. Let g = 0.6 - u. Let f = 2\/235 - 492\/2585. What is the nearest to g in -4, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-220)*3784\/(-688))\/((-1)\/1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4938*w**2. Let z(o) = 399*o**2. What is r(z(l))?\nAnswer: 786134538*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5 - y + 0 - y**2 - 3. Let h be a(0). Differentiate n**h + 5 - 2 - 4 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 11) in base 14?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -30*d**3. Suppose -3*u - 34 = -5*u. What is the remainder when c(-1) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 2\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5103 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/749?\nAnswer: 24\/749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 7, c: 3, z: 1, d: 1}. Give prob of sequence dzm.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.0163 rounded to 1 decimal place?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(2\/7)*b))**(14\/3)\/((b*b**(-5\/7))\/b**(-19)) assuming b is positive.\nAnswer: b**(-177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202950 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from kljljvno.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6137 divided by -110.\nAnswer: 6137\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623 = -137*h + 2764 - 921 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -10 + -65 - (0 - 22) - (-1 - -6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-288*s**2 - 129*s**2 + 61*s**2)*(s - 1 + 1).\nAnswer: -356*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-749)\/84 + 27\/3.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-6 - -1)) + 37 + (-5 - -35) + -11?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94445149162861 - 0.03.\nAnswer: 94445149162860.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 0.2 (b) -3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose i = -p*i + 255. Suppose -2*j + i = j. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-4)\/12*2). Put -5, -2, n in descending order.\nAnswer: -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 6. Let k(y) = 3*y - 11. Let t(w) = -6*k(w) + 13*s(w). Let q be t(-4). Let a(h) = -h**3 + 7*h**2 + 10*h - 12. What is a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 - 7*k**5 - 7*k**5 + (0*k**2 + 3*k**2 - 2*k**2)*(0*k**3 - 5*k**3 + 4*k**3) - 2*k**5 - 3*k**3 - 2*k**3 + k**3.\nAnswer: -20*k**5 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, x: 2, c: 1}. What is prob of picking 1 r and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5172090 and 169\/300.\nAnswer: 51720900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10332*h + 5. Is i(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/5 - 264*x**3\/5 - 5012*x**2\/5 + 264*x\/5 + 5014\/5 = 0. What is x?\nAnswer: -109, -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73359, 73486, 73701, 74004?\n\"Answer: 44*p**2 - 5*p + 73320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -f + 6, 4*f + 2 - 6 = -4*x. Suppose -7*t = -2*t + x*z + 15, 5*t + 2*z = 0. Factor 4*q**3 - q**2 + 2*q**4 + 0*q**2 + t*q**2 + q**2.\nAnswer: 2*q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.88 + -0.85. Let c = d + -0.73. What is c rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -6.803 (c) -4\/7 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20848.9416847 + -20722.94169. Let z = i + -126. Round z to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/42 + 2\/(-7). Suppose 0 = -3*q + k*q + 3. Is 2 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6593856850350 - 0.1\nAnswer: 6593856850349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a)*(2 - 2 - 2*a - 5*a + a - 2*a - 8*a - 5*a + 2*a + (0 + 0 + 2)*(a - 2*a + 2*a) - 2 + a + 2).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8902242331 + 0*r + 9*r - 8902242331.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -487, -456, -427, -400, -375, -352?\n\"Answer: -y**2 + 34*y - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:42 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63561 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 152 = 4*z, 190*u - 188*u = -8 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7020\/49 greater than or equal to -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16173 + -8389. Is m a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o**2 + 7. Calculate the remainder when a(-5) is divided by -91 - -99 - (-3 + (-2 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqwqwqwqqwqqqqqqqwqq.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 5*c)*(-c**4 - c**4 + 4*c**4) - 3 + 184*c**5 - 143*c**5 + 1 + (c + 0*c + 0*c)*(3*c**4 + 0*c**4 - 2*c**4).\nAnswer: 44*c**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {p: 7, t: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 2, e: 1}. What is prob of sequence qf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 + 1466. Which is bigger: 1265 or k?\nAnswer: 1265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6\/7))\/((a**(1\/3)\/a)\/a))\/(a**(-1)\/a**(4\/3))*a**(-5)\/((a*a*a**(-3\/2))\/a)*(a*a\/(a*a**(-1\/8)))\/(a\/a**(-2\/3)*a*a*a) assuming a is positive.\nAnswer: a**(-655\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*o\/(o\/(o\/(o*o**(-2\/7)\/o)*o)))\/o)**(-4\/15) assuming o is positive.\nAnswer: o**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -2)\/(4\/(-766))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -36. Let d(a) = 3*a**2 - 2*a + 2. Calculate the remainder when x is divided by d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z - 50 = 0. Let r = z + 22. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 4*w + 0*w in the form s*w + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -4. Let i = 26413\/10332 - 1\/1148. Find the common denominator of i and 88\/r - 2\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(64) - 3*sqrt(64)))\/(sqrt(32)\/(sqrt(4) - (sqrt(324)*2 - sqrt(324)))).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 29*o**2 - 19*o + 33. Does 12 divide d(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062875.\nAnswer: 3, 5, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -59. Let y be (14\/(-6034))\/(u\/3). Let w = y + -20311\/7758. What is the common denominator of 179\/30 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, z: 2, b: 3}. What is prob of picking 3 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.14 - -0.14. Let g = f - -6.9999803. Round g to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 7, -11 in descending order.\nAnswer: 7, 4, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3052 + 0.0372. Let t = d - -12.278. Round t to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 0, 3, 4, -158 in ascending order.\nAnswer: -158, 0, 3, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-18)\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407 is divided by 1962.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 4*g**2 + 2*g - 1. Let z = 42 - 35. Suppose -2*j + 4*j = 4*l, 0 = -5*j + 3*l + z. Calculate w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 10. Suppose 0 = -3*n - 3*w + 138 - m, -3*n + 109 = 2*w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385 + 385. Suppose k = 4*a - 171 + 151. Solve 5*y + 3*j = -2*j - a, 13 = -y + 5*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 682 and 2?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52\/78*927\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(39)*-2 + 1*sqrt(78)\/sqrt(2))\/(sqrt(9)\/sqrt(3)*1 - -3*(sqrt(3) - (sqrt(3) - sqrt(48))))*-4.\nAnswer: 28*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**6\/6 - 8*y**3\/3 + 15*y**2\/2 - 2*y + 54. What is the second derivative of h(k) wrt k?\nAnswer: 20*k**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 1. Let c be l(1). Suppose -2*d - r + 4 = -3, 0 = 5*d - 5*r + 5. Let i(t) = 0*t**d + c*t**2 - t**2. Let h(o) = o**2. Give h(i(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11231774*l**4 + 1096372*l wrt l?\nAnswer: -134781288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-12))\/((-27)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -27\/9183356?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18438 + 72725. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-8) - (-1)\/2. Suppose -2*i + 10 = 46. Let o be 2\/i*(1 - 3). Which is the smallest value? (a) u (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -2.5. Let r = y - -1.5. What is the third smallest value in 4\/3, -5, r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 2 - 2)*(135 + 4*o - 135) as z + d*o**2 + r*o and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let c(d) = 15*d - 5. Suppose 3*v + q + 20 = 0, -5*q - 10 = -3*v - 0*v. Let h(m) = m - 1. Let w(p) = v*h(p) + c(p). Determine x(w(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8128 + -673?\nAnswer: 7345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -25, -62, -135, -256, -437?\n\"Answer: -2*d**3 + d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/18)\/(1\/(-117)). What is the highest common divisor of h and 416?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/5, 1\/5, -793, -1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -35. Let g = 11.022 - d. Round g to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 31*p - 6 = 0. Suppose -347 = -3*m - y - 86, -261 = -p*m + y. What are the prime factors of m?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3190.951593 rounded to the nearest integer?\nAnswer: -3191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dbbdc - 4?\nAnswer: 1dbbd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -970 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 591 from 19039670.5959.\nAnswer: 19039079.5959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 115*l - 220 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 952\/(-416)*-4 - 9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71339.05 rounded to the nearest one hundred?\nAnswer: -71300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145*(-10)\/(-500) + (2\/4)\/1?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5 (c) 2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 10*t**2 + 10*t + 22. Let f be (-10 - -12 - -7)*-1. Determine a(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - 171b7b?\nAnswer: -171b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*s - 58*s + 41*s + 428 + 7*s**2 + 1857 + 4*s**2 wrt s.\nAnswer: 22*s - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 59*c**3 + c**2 + c - 2. Let h be o(1). Suppose 5*b + 20 = 0, 5*b - 24 + h = -v. What is the tens digit of (-9)\/v + 276\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 2, s: 3, l: 2, i: 3, e: 3}. What is prob of sequence qs?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3602 - -3601.7. Which is the third smallest value? (a) 49 (b) 5 (c) 2\/17 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/35*15)\/3. Let w = 73\/39 + -8\/39. Factor -2\/3*g - 4\/3*g**k + 0 + 1\/3*g**4 + w*g**2.\nAnswer: g*(g - 2)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7713 and 0.26182.\nAnswer: 7713.26182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f + 148 = 45*f. Let z = -36 + f. Let l be z*(3 - 3) - 0. Put -4, -5, l in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + -5*sqrt(144)*2)\/(6*1*sqrt(768)))**2 + 3.\nAnswer: 219\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/4)\/((-2)\/4). Is f smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 + 5*c**2 - 5*c**2)*(-1 + 1 - 1)*(-2*c**2 - 6*c**2 - 7*c**2).\nAnswer: 75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, -0.1 in ascending order.\nAnswer: -5, -0.1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -923*z + 917*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16641646 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + g + 41, -l = 5*g - 15. Calculate the smallest common multiple of l and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 - 3*h**5 + 31*h**4 - 16322*h**2.\nAnswer: 120*h**3 - 180*h**2 + 744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/752 and -89\/4724.\nAnswer: 888112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -76316 (base 8) in base 13?\nAnswer: -11709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2004 + -2005. Which is the third biggest value? (a) u (b) -75 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*n**2*p**3 + 72951*n**2*p**2 - 5*p**3 + 33*p - 756 with respect to n.\nAnswer: -16*n*p**3 + 145902*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294563 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/15623001 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7a618b + -11?\nAnswer: a7a617a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 336, 359, 402, 471?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5371614 + 75?\nAnswer: 5371700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 2*u - 5*u. What are the prime factors of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364175526?\nAnswer: 2, 3, 11, 13, 419, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4067360334.912 + 5?\nAnswer: -4067360329.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - x - 14, 0 = -5*s + s - 5*x + 25. What are the prime factors of -2 + (s - -110 - 0\/(-2))?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -442 - 52*k - 2*k + 442. Let j(p) = -3*p. Determine h(j(o)).\nAnswer: 162*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:41 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 57. Determine h(22).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-21) + 2\/7. Let n = 3 - d. Suppose 0 = -n*y - 5*y + 100. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536830565?\nAnswer: 5, 31, 719, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v**2 - 4*v**2 + 29*v - 14*v + 4 - v**3 - 9*v. Give f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 3*s**4 - 37*s**4 - 64*s + 61*s + 2 - 2*s to x*s**4 + d*s**3 + n*s + u*s**2 + h and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Suppose h = -h + j. Solve 5 = -p + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p, -4*t - 4*p + 209 = -3*p. Calculate the remainder when 56 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 2325*x - 2327. Calculate u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 7 = -3*u + 23, 3*u + 4*d - 957266 = -8*u - 957199 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -132, -294, -504, -762?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (3 + (-7 - 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11554 + -2664. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 39*b**3 + 4*b**2 - 7. Determine v(3).\nAnswer: 1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1 - -3)*((8 - -6) + -9). Solve -r = 4*n - o, 21*r = 18*r - 5*n + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 3*l - 3*l)*(1 - 1 - 2*l**3) + 4*l**4 + l**4 - 3*l**4 + l**2 - l**4 - l**2 - 9*l + 9*l + 20*l**4 - 2*l**4 - 1 - 4*l**3 + 35*l**2 - 35*l**2.\nAnswer: 15*l**4 - 4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*r + 7, 2*r = 5*p - 2*r - 7. Suppose 25 = -5*u, 2*k - 7*k = p*u. Suppose -k*o + 0 + 9 = 0. Solve -o*v - 6 = -v + 4*j, -4*j = 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33385861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2835, -5594, -8379, -11190?\nAnswer: -14027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-8)\/(8\/(-2)))\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 781317 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 5354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 5*l + 7016 - 7022, -4*l - 14 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 44. Let o be ((-100)\/(-15))\/f*(-9)\/(-2). Let -118*s**o + 120*s**3 + s**2 - 3*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {k: 3, a: 1, b: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/32*-4*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 54*w**2 - 11*w - 11. Let b(o) = 10*o**2 - 2*o - 2. Let p(t) = 11*b(t) - 2*q(t). Let i(f) = -377*f - 4. Calculate p(i(d)).\nAnswer: 284258*d**2 + 6032*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 - 2800*w**3 - 16680*w**2 - 33280*w - 22160 = 0. Calculate w.\nAnswer: -554, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3900 and 30.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*s**2 - 102*s**2 - 75*s - 34*s**2 as q*s**2 + y*s + l and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 207290 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 338125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 + 4*p**2 + 76*p + 24. Let j be u(-4). Solve 74 + 6 = j*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose -2*s + 2*k = -0*k - 6, -5*k - 11 = -4*s. Put j, s, -1\/2 in decreasing order.\nAnswer: s, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3543 (base 7) to base 16.\nAnswer: -519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698132 + 776777 = -1605*n for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*t + 5*o, 0*t + 7 = 3*t + 2*o. Suppose a = t*a - 88. Calculate the greatest common divisor of a and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26944, 26944, 26942, 26938, 26932, 26924, 26914?\nAnswer: 26902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3149310 and -0.253?\nAnswer: 796775.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/5)\/(6\/20). Let m(h) = -h**3 + 6*h**2 - 5*h + 2. Let j be m(u). Let k = j - 7. Solve -3*b + 2 = -k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*8\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(176) + sqrt(176) + sqrt(176) + 0 + -3 + -3)**2 + 2)*1*-4 + 5 + -2.\nAnswer: -6441 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3512*v + 21072. Let n be r(-6). What is b in -2\/3*b**3 + 2*b + 4\/3 + n*b**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 19. Let m be -8 + (0\/2)\/2. Let d be a(m). Let p be d + 7 - 28\/(-6). What is the nearest to 0 in 1, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 53. Sort 5, 8, 0, w in increasing order.\nAnswer: 0, w, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89452 + 280164 = 1646*c - 1582*c + 3012*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f**3 - 3\/80*f**6 - 1\/105*f**7 - 1\/20*f**5 + 0*f - 1\/48*f**4 - 15*f**2 + 0. Solve u(q) = 0 for q.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*d - 17, 2*v + 4*d - 6 - 8 = 0. Suppose -3*m - 4*z = -32, -5*m - v*z = 2*z - 55. Solve m = -0*y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(153)\/sqrt(9) + 2).\nAnswer: 24 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*f = 6, 3*l - 2*l + f - 2 = 0. Suppose -l*i + 25 = -47. What is the greatest common divisor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 309*m**2 + 326*m**2 - 615*m**2. Let a(w) = -4*w**2. Let z(q) = -q**2. Let b(p) = -a(p) + 3*z(p). Determine b(v(h)).\nAnswer: 400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t + 84*t - 47*t + 42*t as c*t + x and give c.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:06 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 2, -1 in decreasing order.\nAnswer: 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.99 + 7. Let l = -0.49 - f. Let g = l + 0.8. What is the nearest to -3 in -1\/3, g, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 4. Let h be m(8). Let p = -16 + h. Solve p*c + 22 = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -3446208.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.215 + 86417624.\nAnswer: 86417623.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x - 3095 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48 - (-1 - (2 - 1)). Suppose 3*b = -2*p + 5, 74*b = 72*b - 6. Calculate the remainder when ((-4)\/5)\/((-4)\/r) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**4\/12 - 49*i**3\/6 + 2*i**2. Let x be u(25). Solve 5*o + x = 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00104231863 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1\/3*u**3 + 1\/24*u**4 + 0*u - 18*u**2 + 0. Let m be q(7). Solve 5*x + j = 17, -1 = -m*x + 3*j + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374059 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmvprojp. What is prob of sequence ojm?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 168348024 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.019, -84, -6\/25, 4 in decreasing order.\nAnswer: 4, 2\/3, -0.019, -6\/25, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063783 rounded to four decimal places?\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:10 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 64. Suppose 5*q - 301 = -3*b, -2*b + p*b - 4*q + 198 = 0. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2541981 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6429, -12793, -19155, -25515?\nAnswer: -31873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a4 + -39?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -576*t**4 + 286752*t**3 - 524356*t**2 + 287780*t - 49600 = 0.\nAnswer: 5\/12, 1, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1\/6 (c) 3 (d) -15 (e) 163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-54) + -3 + 273\/27 + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (756\/630)\/(48\/130 - (-8 + (-84)\/(-10)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4.9, -33384 in decreasing order.\nAnswer: 4.9, -0.3, -33384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/20 and 139\/221586.\nAnswer: 2215860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - 5. What is the remainder when (-6 - -4)\/2*-14 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 2. Let n be (-6 + 1)\/(2\/(-4)). Suppose 1 = 3*h + n. What is q(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(704) + 5*sqrt(704) + sqrt(704))*-5)**2.\nAnswer: 4312000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 = -f, -4*f = 4*w - w - 4. What is the third derivative of -b**3 + w*b**2 - 9*b**2 - b**3 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126727050?\nAnswer: 2, 3, 5, 844847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*t + 59*t - 96*t)*(6 - 4 + 0)*(-5 + 3 + 6).\nAnswer: -584*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 40*x**2 - 1252*x + 1623. What is h(30)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 4\/5 (c) -1\/5 (d) 31 (e) 2\/13 (f) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 60*t + 108576 = 0. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**3 + u**2)*(-57*u**2 + 52*u**2 - 271*u**2) + 0*u**2 - 4*u**5 + 0*u**2.\nAnswer: -556*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7738 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3869, -8271, -12673, -17075?\n\"Answer: -4402*j + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498 - -505 - ((-7 - -6) + -64).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93920 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*b = b + 9, 3*r + 5*b = 37. Let d(t) = 3*t**3 - r*t**3 + 5*t**2 - 2*t + 0*t. What is the units digit of d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -25. Let r = -90 - -53. Let z = r - -104. What is the remainder when z is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {x: 1, n: 4, d: 3, v: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -182773, -365544, -548313, -731080?\n\"Answer: b**2 - 182774*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.3 + 11. Let t = -0.3 - o. Let b = t + 2. What is the second biggest value in b, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/44081688 and -85\/84.\nAnswer: 44081688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 178 - 3*h**2 - 8*h + h**2 + 91*h**3 - 180 to p*h**2 + k*h**3 + v + c*h and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - s = s + 152, -o + 4*s - 46 = 0. Let m = -45 - o. Which is the second smallest value? (a) 0.1 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.58 + 0.58. Let k = i - -13. Let g = 19 + k. Which is the smallest value? (a) g (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119888*g**5 + 2*g**4 - 3*g**2 - 925*g + 6 wrt g.\nAnswer: -7193280*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.22? (a) -0.2 (b) -3 (c) -1.8 (d) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -3104.\nAnswer: -310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*a + 407*p - 410*p, -a + 3*p = 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b + 10 = 41*b. Solve b*a + 0*u - 4 = -u, -a - 5*u = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5299426 - 34714625.\nAnswer: -40014051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9952896 nanograms?\nAnswer: 0.0000009952896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*f - 282, 4*f - 7*f = -3*g - 225. What is the lowest common multiple of f and 153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - 5*b**2 + b**2)*(5*b + b - 8*b) + 951*b**3 + 11365 - 11365 to the form x*b**3 + l + n*b + t*b**2 and give x.\nAnswer: 953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74455\/36 - -2069. Let z = -14\/9 + p. Suppose 0 = -3*q + 5*a - 27 + 7, 20 = -2*q + 5*a. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1406 + -772. Suppose -54 = -3*k - 0*k. What is the remainder when 18\/(-81) - d\/(-18) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3. Let b(y) = -60*y**3 + 2. Suppose 42*l = 45*l - 4*r + 45, l - 2*r + 21 = 0. Determine l*j(f) - b(f).\nAnswer: 57*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -633, -464, -311, -180, -77, -8, 21, 4?\n\"Answer: -n**3 - 2*n**2 + 182*n - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -t. Suppose -2*j + t*c = -102, -4*j - 5*c + c + 204 = 0. Suppose -j = -4*m + w, -3 = -3*w - 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 979254.8kg?\nAnswer: 979254800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z. Let x be (5 - 1) + (-3 - -1). Let j(i) be the third derivative of 90*i**2 - 1\/6*i**3 + 0*i + 0 + 7\/8*i**4. Determine x*j(w) + 9*q(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-21)*i*i)\/i*i\/i**(-20) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/p**(6\/13)*p)\/p)\/p*p*p**(2\/51))\/((p\/(p\/((p\/(p**13*p))\/p)*p))\/((p*p\/((p\/(((p\/p**24*p)\/p)\/p)*p)\/p))\/p)))**(-2\/47) assuming p is positive.\nAnswer: p**(9842\/31161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-8) - (-2)\/(-8). Suppose 3*v - 5 + d = 0. Let t = -431 + 5173\/12. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/18)\/(998\/(-4491)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88019527.\nAnswer: 4273, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-5) + (-12)\/(-3). Let o(d) = -1 - 4*d**2 + 2*d**2 + d + 4*d**2. Is o(u) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvyv. Give prob of sequence vvvv.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1732171 + -2933949. Let z = -771778 - f. Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0*m**5 - 2*m**2 - 1\/24*m**6 + 0 + 0*m - 1\/8*m**4 + 0*m**3. Find the second derivative of w(h) wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*c - 8 = 0, -5*l - 6 = -3*l + 2*c. Suppose 0 - l = 5*s - 4*n, -2*n = -8. Factor 0*q**2 + 12*q**2 + 24*q**s + 8*q**2 - 4*q.\nAnswer: 4*q*(q + 1)*(6*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*y + 285*y + 36 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 221 + 23 = 5*j, -321*j - 4*k = -323*j - 536 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 43*u**2 - 515*u - 21. Calculate j(-24).\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*s + 539, 64*s + 4*m = 67*s - 328. Calculate the remainder when 536 is divided by s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 - -153. Which is the third biggest value? (a) 6 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/244 in 4, 0.3, -7, 1\/4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*f**2 - 2 + 1)*(-f + f - 2*f) - 7*f**3 - 966*f - 15*f**3 + 977*f.\nAnswer: -26*f**3 + 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -1961, -3501, -5661, -8441, -11841, -15861?\nAnswer: -20501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 47*p - 380. Let d be n(7). Is (462\/24)\/(d\/(-24)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - h)*((91*h**3 + 125*h**3 - 470*h**3)*(0 - 2 + 5) + 2 + 2*h**3 - 2).\nAnswer: -3040*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1724\/7 + -1725\/7. What is the biggest value in 43, -4\/3, -11, d?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:15 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-95)\/(-65))\/(-19))\/(19 - (-3904)\/(-208)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 4*i + 0*i)*(-i**3 - i**3 + i**3) - 2847*i**3 + 2847*i**3 + 83*i**4 to the form k + t*i + m*i**3 + h*i**2 + g*i**4 and give g.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from {z: 4, s: 5, p: 8}?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 20. Let i = z - 5. Let g = 2.5 - 3. Which is the biggest value? (a) -0.4 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -806.7 + 808.7. What is the nearest to -1 in 5, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 47. Suppose u + 2 - 4 = 0, -5*i = -2*u - j. Is i less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*y - 5*m, 4*y = 11*m - 7*m - 24. Let h be (-1 - 14\/(-8))*4. Put h, -87, y in ascending order.\nAnswer: -87, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083113435 to the power of 1\/2, to the nearest integer?\nAnswer: 32911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**3 - t**2 + t. Let b be f(1). Let g = b + -5. Let k = 413 - 416. Sort k, g, 2, 5 in descending order.\nAnswer: 5, g, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11792.6821 - -11792. Let m = o + 0.67. What is m rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251 + 137. Let v = o + 113.5. Which is the third smallest value? (a) 0.2 (b) -0.3 (c) 3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 640 + -624. Solve -b - d = -6, 7 = b - 2*d + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o + 1938 + 1140 = 0. Let u be ((-6 - 4) + -245240)*(o + 1). What is u rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15120 + -15120.00008759. What is q rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*t - 197*t - 210*t.\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2722.999979434 - -2723. Round i to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 44*h + 55 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/13 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 8) to base 4.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqbq when four letters picked without replacement from {b: 5, q: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 13*g - 4. Let x be v(-5). Suppose -19*z - 16 = -x*z. Let m = 19 - 30. Sort z, -2\/5, m in decreasing order.\nAnswer: -2\/5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/(-87))\/(((-1)\/(-6))\/((-729)\/216))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -22. Suppose 0 = 7*m + 4 + 10. Let y be 15\/(m*f\/(-1000)). What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41621702 and 6306.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/18)\/(16\/(-96)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h**3 - h**2 + 2*h + 2. Let r = -6 - -5. What is the smallest common multiple of 2 and l(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -211. Suppose 3*j + 5*u = i, 3*j + 7*u - 138 = 4*u. Let d = -18 + j. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1130*0.3\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1)\/(6\/(-4)). Suppose 2*i - 20 = -n*i. Suppose 0 = -3*a + 6*a - 24. What is the remainder when a is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224280 by 6408.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 4 + (4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(-1\/3)*(f*f**(10\/9)*f)\/(((f**(-3\/17)\/f)\/f)\/f))**(4\/13) assuming f is positive.\nAnswer: f**(19648\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 153508 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.97404 to 1 decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l + l**2 + 7\/60*l**5 + 0 - 2\/3*l**3 + 5\/24*l**4 + 1\/120*l**6. Give c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 16030\/(-20))\/((-2)\/(-20)). Suppose -19*n - i = -4*n. Round n to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o = -2*s + 4738, -4*s = -5*o - 9440. What is s rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -6\/5 (c) -0.1 (d) 1867\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:17 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -27*b + 849. Calculate the greatest common factor of b and 992.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653141*a + 8 = 653143*a - 3*d, 16 = 4*d for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77262089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/130*(15\/(-2))\/1. Suppose -72*d + 5*h - 10 = -71*d, -5*d + p*h - 6 = 0. Let j(y) = -y**2 - y - 17. What is j(d)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -61*k**3 + 5*k**2 + 42*k. What is the thousands digit of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssseesssssss. Give prob of sequence se.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2 + 6. Let l(j) = 9 - d - 2*j - 6 - 2. Let g(k) = -1. Determine 4*g(s) - l(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.368 less than 114270199.1?\nAnswer: 114270195.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 6*u**2 + 9*u - 1. Give m(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 7, k: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-53))\/(-2*-1*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20351*b*i - 37*b - 2*i - 3228046 wrt b?\nAnswer: 20351*i - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 69, 7, 5, 13, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-2*c**2 + 2*c**4 + 2*c**2) + 0*c**4 - c**4 + 0*c**4 + (1 - 1 + c)*(3 - 3*c**3 - 3).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o + o**3 - 10*o - 2*o**3 to the form q + j*o**3 + x*o**2 + g*o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.557351 to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (-12 - (1 - -9))) + 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 8*p - 129. Let t be s(8). What is the nearest to -5 in -2\/15, 8, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 3122002?\nAnswer: 3122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.46 + 1.96. What is the closest to 0.1 in i, -0.037, 3\/4?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 4*f + 3 + 5. Let m be t(-6). Suppose -j + o = 0, o - 20 = -5*j + m*o. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z + 57*z = -180 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 63973200, 4\/7 in descending order.\nAnswer: 63973200, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 213614358?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 46\/6)\/((-23)\/3)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 36215. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 - -34714193471\nAnswer: 34714193387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 16*a = 15*a + 10, 0 = -2*r - a + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 413*r + 2156. Give l(-6).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(348\/(-24) + 14). Solve -2*k - 2*k = -q + 10, 5*k + 4 = -l*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 32. Let t be u(-14). Let d be (-8*(1 - 0))\/(t + 8). Solve 2*c + d = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*-3*sqrt(117) - sqrt(117))*4)\/((sqrt(252) + 1*sqrt(252) + sqrt(63))\/(sqrt(28) + sqrt(56)\/sqrt(2))).\nAnswer: 672*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and 395835.9.\nAnswer: 395835.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576025 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 10*m**2 - 29*m - 435. Let s be g(-11). Solve 5*b + 4*r + 45 = 0, 5*b - s*r + r = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 + 0*f**4 + f**2 + f**4 to the form y*f**2 + v*f**3 + m + k*f**4 + s*f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 45?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12682 is divided by 614?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:27 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 993, 5, 3\/7, -3, 22, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5442781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3131 is divided by 165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/60 and 17\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*t + 1 - 20, 3*t = x + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -39.77 - 0.3475302\nAnswer: -40.1175302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2)*(-2*f + f + 2*f) + f + 0*f + 3*f + f + 9 - 9)*(f - 2*f**2 - f).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -2602 and 0.196573987.\nAnswer: -2601.803426013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r = -w + 12, -24 = -2*w - 2*r. Let k be w - (-3 + (2 - -5)). Is k <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 4*t. Let q(p) = -3*p. Calculate 4*q(v) + 3*r(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 12*h. Let m(g) = 2*g**2 + 35*g. Determine 8*l(o) + 3*m(o).\nAnswer: -2*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:49 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208798158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/36*(-39)\/(1287\/231)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.19, -0.4, 0, -63.\nAnswer: -63, -0.4, -0.19, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*g + 448*g + 4035 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/((n\/(n*n**(2\/27)))\/n))\/n)\/n)*n)\/n)**(-4\/11) assuming n is positive.\nAnswer: n**(-100\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2958*s. Let r(j) = -j**2. What is o(r(v))?\nAnswer: 2958*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 3*n**4\/4 - 23*n**3\/3 + 12*n**2. Let c be m(-19). Let g = c + 655. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1534 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (96\/(-33) - -3)*12. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4224)\/198*6\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) 2 (c) 22 (d) -1\/11 (e) -1392\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 15. Suppose 0*a = a + 26. Let x = a + 30. Which is smaller: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3 - j**2 - 4*j - 62. Let p(u) = -2*u**2 + u - 1. Let q be p(1). Is 5 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -29*k - 60. Let t be m(-2). Suppose 3*i = 4*s + 7*i - 16, 2*i + 2 = 0. Sort s, -17, t.\nAnswer: -17, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -9)*(0 - (-3 + 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 10) to base 4.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(13) + 1 + 3)**2*-1 - (-4 + sqrt(52) - (1*sqrt(1872))**2)) + (-3*-5*(-1 + sqrt(1573)*1))**2.\nAnswer: -4968*sqrt(13) + 355958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 2*q**5\/15 - 187*q**3\/6 - 170*q - 1. Let h(j) be the second derivative of x(j). Let z(c) = -24*c. Give h(z(r)).\nAnswer: -384*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 227 = -469. Suppose -4*j + 3*d - 2*d = -l, 5*j - 2*d = 216. Suppose 0 = -6*k + 2*k + j. What is the greatest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a hour?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43\/305 in 1, -3\/2, 0.7, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3933 + 3933. Let d(k) be the second derivative of 0*k**2 + m - 17\/12*k**4 + 1\/20*k**5 + 4*k + 0*k**3. What is the third derivative of d(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -30*l + 32 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-1615)\/(-273) + -2. Let w = l + 1034\/39. Let x = 222\/7 - w. What is the common denominator of -24\/11 and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t - 31. Let u be i(-7). Let s(q) = 2*q**3 - q**2 + 1. Let b be s(1). Let w be b\/1 + -1 - -2. Solve -w*g + 5*p + u = 5, -g = -3*p - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -221*i - 1585. Calculate y(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29029956509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837 and 182081259.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + 20. Let o be g(-13). Suppose -4*n = 3*q - o, -5*q + 4*q = -n + 28. Let l = n + 38. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.306143 - 0.7.\nAnswer: 16.606143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 333230353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 2212012122001?\nAnswer: 2212012122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 7 - 29 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + (7 - (-1 + 16 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.6 + 32.6. What is the closest to 1 in 0.2, 1\/9, b, 32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 n when four letters picked without replacement from ewehhzhhwnwweh?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201409322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s - 60. Let q be y(-5). Suppose 5*r - 3*l - 40 = 0, r - 4*l = -3 - 6. Which is the third smallest value? (a) q (b) 4\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 5*j - 34. Let q be o(-6). Let c = -32 + q. What is the remainder when 106 is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 499 (b) -15 (c) 4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -10. Let n be ((-15)\/(-9))\/(r\/18). Let f(t) = -3*t**2 + 4*t. Let k(a) = a**2 - 2*a. Let q(m) = n*k(m) + 6*f(m). Find g, given that q(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 - 7. Let x = 624 + j. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73314 - -295223. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -458336.\nAnswer: 1\/458336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -344*h + 346*h - 6. Let x(o) = 10 + 145*o**3 - 144*o**3 - h. Let g(w) = -2. What is -7*g(j) - 2*x(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 257.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 125*n**2 + 5*n - 1. What is the tens digit of b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:29 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3. Let f(c) = -c - 15. Let h(y) = -2*f(y) - 11*i(y). Let s be h(3). Sort s, -3, -1 in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/(-2) - (-2)\/(-4). Suppose -1 = 5*x - z. Let h(q) = -2 - 3*q**2 - 1 + x*q + 0*q**2 + 2*q**2. Determine h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 + 10*d - 49. What is k(0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7 and 26\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277\/10350 or -10?\nAnswer: 277\/10350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*o - o. Let f = 0.8 + -1. Let j = 81923 - 81923. Which is the nearest to f? (a) o (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6751 take away 0.1031734?\nAnswer: -6751.1031734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + 13*o**2 + 8*o + 7. Let t be 400\/(-32)*2\/5. What is n(t)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307.2 - -307. Let i = 1.1 + 4.9. Let x = i + -5.7. Which is the second smallest value? (a) t (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1620 and 30112884?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s - 20. Calculate v(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 14*j + 24 - 140 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 28739750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12698*z + 48645 - 397324 = 375107 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/1*-6*79\/4029?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s - 2*s + s)*(175*s - 34244 + 34244) + 3*s**2 - 3*s**2 + 2*s**2)*(3 + 1 - 3).\nAnswer: -348*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -608, -943, -1278, -1613, -1948?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7077 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -39*w**2 + 12*w - 3. Let a(b) = -30*b**2 + 10*b - 3. Let o(x) = 4*a(x) - 3*m(x). What is o(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4685496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61976 is divided by 385.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4460.86 years to months.\nAnswer: 53530.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -22898*l**5 + 24182*l**4 + 21596*l**3 - 24164*l**2 + 1302*l - 18 = 0?\nAnswer: -1, 3\/107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 + 0.17. Let r = -0.48 - 0.02. Sort k, r, 5.\nAnswer: r, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.228 + 3.772. Sort -0.3, -0.4, -3, 2, s in ascending order.\nAnswer: -3, -0.4, -0.3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a century in months?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026143 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15723 is divided by 461?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/236797117 or 1?\nAnswer: -2\/236797117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 37a?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6470*x - 118*x + 1297*x + 642516 = 0 for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**6*t)*t*t\/(t**7*t)*t*t**(1\/2)*t\/(t**(-2\/9)\/t))\/(t**(-2\/5)\/t*t**8*t*t)**(-2) assuming t is positive.\nAnswer: t**(803\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2+4138064\nAnswer: 4138066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 678059.4 minutes?\nAnswer: 40683564000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - -2*sqrt(250))\/sqrt(5))\/(2*sqrt(360) + sqrt(360)) + -1.\nAnswer: -1 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.3. Let o = i - 0.4. Let c = 0.0148 - 0.0648. What is the smallest value in c, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.6 - -1.5764?\nAnswer: 91.1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 8, m: 5, w: 4}. What is prob of picking 1 w, 2 m, and 1 i?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8828 = 2*z, 4*z - 2*g - 17672 = -0*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31761 - -31761. Which is the nearest to n? (a) -2 (b) 4\/7 (c) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**2. Let w(i) = -2*i**2. Determine w(m(a)).\nAnswer: -162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10909 + 25413. Is 148 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 55762*y - 1. Let d(x) = -3*x + 2. What is d(b(p))?\nAnswer: -167286*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 10*p - 16 = -2*l, 2*p + 5*l = 22. Find the third derivative of 26*w**4 - 5*w**2 - p*w**2 - 7*w**2 - 3 + 4*w**6 + 6 - 8*w**4 wrt w.\nAnswer: 480*w**3 + 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106433\/345540 - -118\/1329. Let r = b - 2\/65. Let n = 0.3 + -0.2. Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 11 + 6 = 4*u, 0 = 3*u + 3*s - 24. Suppose -n + u*n = 12. Let g be 8\/6*126\/56. Solve -2*v - 5*l + 21 = 0, 2*l - g = n*v - 2*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let r(y) = -660*y**2 + 17. Determine b(r(h)).\nAnswer: 660*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 - 8*l**2 + 41*l - 40*l + 3*l**3 - l**3 as w*l + p*l**2 + x + s*l**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11550886?\nAnswer: 2, 5775443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.303701 rounded to 1 dp?\nAnswer: -115.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 14. Let i be d(-16). Let m be 27\/(-18) + i\/(-4). Suppose -3*x - 5*y = -238, -m*x - y + 5*y + 274 = 0. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395413538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356244503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*y**3 - 4 + 5*y**2 + 4*y**4 + 354*y - 354*y in the form o*y + b*y**4 + l*y**2 + v + g*y**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 2 + 25 = 0. Suppose f*z - 19 = 3*d - 58, 11 = 3*d + 4*z. Solve 3*p = d + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**3 + 26*z**2 - 5*z - 58. Let i(s) = -6*s**3 + 26*s**2 - 4*s - 59. Let m(x) = -4*d(x) + 5*i(x). Differentiate m(u) wrt u.\nAnswer: -6*u**2 + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:07 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 1\/302, -2\/5, 5?\nAnswer: 1\/302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335436514 rounded to the nearest 100000?\nAnswer: 1335400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.5 + 1.5. Which is the nearest to 2? (a) 0.2 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 take away -3?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252187836 to the nearest integer?\nAnswer: 35386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641933, 5134964, 17330331, 41079200, 80232737, 138642108, 220158479, 328633016?\nAnswer: 467916885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-388)*(-4 + 1092\/270). Let z = -991\/30555 - x. Which is the second biggest value? (a) 1 (b) z (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2\/(-2) + 3. Suppose i*u = 10*u. Suppose -6*b + 30 = g - b, 5*g + 5*b - 190 = u. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1 - 4\/(-10)). Suppose n = 0, 10 = g*x - 0*x + 3*n. Suppose 0 = x*d + 5*d - 329. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202120 + 1010221022?\nAnswer: 1002011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b*i**6*p + 23*b*i**4 - b*i**2*p - 2*b*i**2 + 8*b*i + 2*i**3*p wrt i.\nAnswer: 1560*b*i**3*p + 552*b*i + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -156948.8 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s - 3. Let t be r(-6). Suppose -4*i + 5*i - t = 0. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*i + 7*i = -2775, 4*b + i = -2232. Let d be (-2054)\/6 + (-148)\/(-12) + -12. Let q = d - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o**21\/o))*(o**9\/o)\/o assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -246, 6, -0.074, -2, -1\/2, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 4*i**2 + 2*i - 3. Let k = 8 - 4. Let j be c(k). Solve v - j + 0 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22213222 (base 4) to base 14\nAnswer: 11bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 - 5*r + 4. Let l be n(4). Suppose l*q - 2*q = 0. Suppose 3*o + 6*p - 4*p = 55, 4*o - 4*p - 60 = q. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 902758.2 meters?\nAnswer: 902.7582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.5*-1152.\nAnswer: -10944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12332303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -88*h - 76. List the prime factors of g(-12).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/15)*h*h*h\/h**(4\/13)*h*h assuming h is positive.\nAnswer: h**(902\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Simplify (sqrt(504)\/(sqrt(12)*-2)*-5)\/((sqrt(150) - sqrt(6))*-2 - sqrt(60)\/(sqrt(40)\/sqrt(4))).\nAnswer: -5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -16*(24 + (-340)\/15).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m**2 + 174*m - 75. Give x(-11).\nAnswer: -3683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 11*d**2 + 24. Calculate y(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m - 58. Let o be y(-8). Let g(j) = j**2 + 3*j + 3. Determine g(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l + 11. Let x be i(0). Suppose x*r = 7*r + 16. Solve -r*d - 2 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0*l - 1 - l)*(-2 + 3 - 3)*(2166*l - 100875 + 100875) in the form y + q*l + d*l**2 and give d.\nAnswer: 4332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3186 or 3187?\nAnswer: 3187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**7\/945 + v**6\/135 - v**5\/90 + 60*v**2. Factor c(x).\nAnswer: -2*x**2*(x - 3)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -28, -39, -50, -61?\n\"Answer: -11*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -246897, -246882, -246867, -246852?\n\"Answer: 15*i - 246912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 90. What is s(-35)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5\/4 + 206943*k**4\/4 + 1966449*k**3\/2 + 1759500*k**2 = 0. What is k?\nAnswer: -17, -2, 0, 69000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -33201945, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/15)*k*k)**(-26\/3) assuming k is positive.\nAnswer: k**(-1118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -7*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 27 = 3. Let q(p) = -p + 2. Let l be q(d). Let x(o) = o**2 + 4*o. Let c be x(l). Solve -3*z - y + 3 = -2*z, -5*z + 2*y + 1 = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 137, 111, 65, -7?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 50 = 2*t, 24 = -1058*t + 1059*t + 4*s - 6*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/840 + c**6\/90 + c**5\/60 - c**4\/4 - 35*c**3\/2 + 7*c**2 - 2. Let z(f) be the first derivative of b(f). Determine z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 112932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -11. Suppose 10 + d = -4*u. Let i = 70 + -65. Which is the smallest value? (a) i (b) u (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 6 - 2*f**2 + 0 + 7*f. Let p be i(5). Which is the second biggest value? (a) p (b) 0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 14*o**2 + 9*o + 104. Calculate a(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:32 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -28 + 52. Let i(m) = 0 + 3 + 0 - 4*m - j. Let r(k) = -7*k - 5. Give 5*i(x) - 3*r(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*q - 5, 3*q + 3*t - 3 + 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000 (base 2) in base 3?\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0 + 1\/6*c**3 + 4*c + 0*c**2. What is j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-794)\/(-3176))\/(4\/((-128)\/84))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -269 + 269 + (-18 - 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277 + 279.23. Let f = 2.33 - g. Which is the nearest to -1? (a) 0.01 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/133713 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-14)\/2)*28\/(532\/(-95))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6833.\nAnswer: 4\/6833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 4 + 1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40625.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 4.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11271, 11155, 11027, 10881, 10711, 10511, 10275, 9997?\n\"Answer: -r**3 - 109*r + 11381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(-35)\/84*(-108)\/(-18)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 - 16*p**2 - 1. Let o(i) = -i**3 + i**2. Let z(l) = -o(l) + v(l). Let s(m) = -m**3 - 6*m**2. Calculate 11*s(g) - 4*z(g).\nAnswer: g**3 + 2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 0)*(5*c**3 - 2*c**3 - 2*c**3 + (2*c + 6*c + 0*c)*(-2 + 2 - c**2) - 2 - 2*c**3 + 3*c**3 + 3).\nAnswer: -18*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -105\/1558?\nAnswer: -105\/1558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23534 and 154056926.\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihywhy. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5010441 (base 6) in base 2?\nAnswer: -111001010011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 200112212111?\nAnswer: -200112212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7807 and 5\/518.\nAnswer: 109298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2*k + 4*k**3)*(-k - 3*k + 3*k) + 1735*k + 48*k**4 - 1735*k in the form l + f*k**2 + z*k**3 + u*k + q*k**4 and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 1134*u**2 - 84351*u - 85484.\nAnswer: (u - 71)*(u + 1)*(u + 1204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) - (-22)\/6. Suppose -45 = -o - g*o. Solve o*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - 51*i - 5. Calculate the least common multiple of 15 and g(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 21 = 3*g. Let l(n) = -6 + n**g - 2*n - 7*n**2 - 6*n + 0*n. Determine l(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4605, -5026, -14645, -24246, -33823, -43370, -52881, -62350?\n\"Answer: b**3 - 9638*b + 14242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f = 110*f + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1055 divided by -211.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1 - 17 + 0 - 5 - 14*v. Let d be t(-2). Solve -5*b + 25 = -d*o, -b = -2*o - 3*o - 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665307.4 rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -155*b**3 - 435*b**2 - 3838*b + 6. Let f(l) = 130*l**3 + 435*l**2 + 3840*l - 5. Let p(w) = 6*f(w) + 5*g(w). Determine c, given that p(c) = 0.\nAnswer: -77, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 12 - 12)*(0*n - 2*n + 0*n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -20*(-4)\/24. Which is the third smallest value? (a) -15 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 25. Let y = -1 + a. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - 1*sqrt(98)) + -5)**2 - ((sqrt(8) + sqrt(32)\/sqrt(4))\/sqrt(4))**2*6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -320586 (base 12) in base 14?\nAnswer: -167662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20445, -40600, -60755, -80910, -101065?\n\"Answer: -20155*i - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5692712 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 3*b - 3*b)*(10 - 36 - 24)*(3 + 2 - 3) in the form n*b + f and give n.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -122*(3 + (-204)\/4 + 1).\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 365*v + 85. Let g(q) = -13*q - 3. Let b(y) = 170*g(y) + 6*n(y). Let h(r) = -r**2. Determine h(b(k)).\nAnswer: -400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109*l + 2040*l + 1942*l.\nAnswer: 873*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 4*i + 2, 217*i + 8 = 5*w + 218*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3043 (base 12) to base 7.\nAnswer: -21156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114)*3 + sqrt(114))\/sqrt(6) - ((-5*sqrt(76) - sqrt(19)) + sqrt(931) + 0))**2.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 9:43 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1109, -1029, -945, -857, -765, -669?\n\"Answer: 2*j**2 + 74*j - 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991617 is divided by 1372?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from vzvvzzvfrvvvzvvz.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 5*u + 3*v + 319, -4*u - 2*v - 440 = 0. Is u less than or equal to -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v + 36 = -48*v. Solve -3*n = -5*l + 27, l + v + 3 = -2*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0\/1 + 1. Let k(z) be the first derivative of 13*z**2\/2 - 5*z - 138. Let x be k(j). What is the highest common divisor of x and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 2*sqrt(104)\/sqrt(8))*4)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3388, 5, -3\/32, 1\/7, -0.3, -4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 17. Let j be o(-6). Let u be -1*(-2 + (-2 - -1)). Let a be (0 - -3) + 18\/u. Solve -j*y - 34 = -a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(14)*1*-4)\/(-6*(sqrt(112)*-2 + sqrt(112) - sqrt(112)) + sqrt(112) + sqrt(112) + (sqrt(112) + sqrt(112)*2)*-4).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(5\/2))\/2. Let g(r) = 6*r**2 + r - 1. Let f(t) = -t**2. Let q(w) = 5*f(w) + g(w). Calculate q(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/628 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -4*sqrt(77)*1)\/((sqrt(35)\/sqrt(5) + sqrt(7))*-3)*2.\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(475) - (1*sqrt(475) + 0))**2 + -6*(sqrt(475) + sqrt(475) + 1) + -3 + -4).\nAnswer: 36 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/1)\/(9\/(-6)). Suppose -15 = z*d - 15*d. Solve 4*t = -0*t, -d*f - 10 = -2*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 36 + 17*m**2 + 34 - 68 + 4*m. Let q be n(-14). Suppose 0 = -3*x + 3*y - 1169 + q, -2*y = x - 697. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39906558 is divided by 589?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25 = f. Solve -4*y + 37 = -f*i, -3*i - 5*y = -y + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 207, 485, 893, 1443, 2147, 3017?\nAnswer: 4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-24))\/(1\/(-145906)*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 4792884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 85 = -32. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26\/7 + 7\/2. Find the common denominator of 6\/(-20)*(-17)\/3 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1422, 2114, 2806, 3498?\nAnswer: 4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147340 is divided by 3135.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(0 + 4 - 1)*(-3*n + 0 + 0) - 1 + 1 - 2*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440435\/39104718 - 2\/48759. Let f = l - -48467\/4812. What is the common denominator of 147\/54 - (1 - -1) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13262732 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 104403 (base 7) to base 3\nAnswer: 221012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 569477226 a multiple of 8483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -86. Let r(n) = 3*n + 2. Let j(g) = g. Let o(s) = 6*j(s) - r(s). Let l be o(2). Solve w = -l*w - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqvqvkk. Give prob of sequence qqkk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**34)**27 assuming z is positive.\nAnswer: z**(1836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10988 * -2.1.\nAnswer: -23074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) 0.2 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.31 - 20.31. Which is smaller: 184 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 less than 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29077636 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 prob of sequence fmmf when four letters picked without replacement from {m: 4, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395518 + -36320. Suppose 1214274 = 5*l + f, -4*l + 612202 + a = -4*f. Suppose l - 38854 = -4*s. What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983147 is divided by 67797.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/6)*h**23 assuming h is positive.\nAnswer: h**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l + 2*l)*(0*l + l - 3*l) + (-3 + 3 + 2)*(-l**2 + 0 + 0) in the form a + f*l**2 + x*l and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -7*o + 27020. Let p = o - -12952. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7667707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 6*w. Suppose 0 = -5*m - 2*v + 20, 5*v + 34 = 4*m - 15. Let r(n) = 0*n - 76*n**2 + 13*n + 67*n**2. Calculate m*r(q) - 13*o(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 6*s + 1 + 5\/2*s**2 - 1\/3*s**3. Let r = 1956 + -1950. Determine a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4496 and 384?\nAnswer: 107904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + t - 6 + 3*t. Let q(k) = k**3 - 2*k + 7. Let a be q(0). Let m be r(a). What is the highest common divisor of 9 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-20) - (50184\/(-10))\/9. Suppose 5*z + 1506 = 2*i - 3*i, -2*i = -z - 299. Let s = z + d. Is s a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k + 3575*k**4 + 11 + 18*k**5 + 47*k**5 - 3575*k**4 wrt k?\nAnswer: 1300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4\/3 - 20*p**3\/3 + 50*p**2 - 20*p - 5. Let v(g) be the first derivative of y(g). Let v(s) = 0. Calculate s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -i + 10, -2*m - 21 = 5*i + 14. Does 11 divide 18\/45 - 133\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -232068*a - 12763734. Give l(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.0686, 2, -2, 0, 2\/7, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 22. Suppose 19 = -l - 5. Let z be y(l). Suppose -3*a + 879 = 4*d + 233, -4*a = -z*d + 312. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 12. Let c be m(-18). Let n(t) = t + 14. List the prime factors of n(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 177808199?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -870623 (base 9) in base 14?\nAnswer: -d7110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1224a4 (base 13) to base 6.\nAnswer: 13143255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 36936696.\nAnswer: 849544008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10610304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-2) + (-2)\/4. What is the lowest common multiple of 16 and (-222)\/(-10) + 2\/r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 755*d**6*i - 31*d**2*i + 14*d*i + 2*i wrt d.\nAnswer: 90600*d**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (sqrt(48) - sqrt(48)*-1) + sqrt(384)\/(sqrt(16)\/sqrt(2)) + (sqrt(6912)*-2 - sqrt(6912)) + 5)**2.\nAnswer: -1056*sqrt(3) + 52288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-10) + -1 + (-4620)\/7425.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 13, 1, -31, 4, 2, -5 in increasing order.\nAnswer: -31, -5, 1, 2, 4, 13, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*u - 9, 0*u - 4*u = 5*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 5100 = -2040. Let b = r + 2039. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 351 - -5?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*n - 7\/3 - 1\/3*n**4 - 8*n**2 - 10\/3*n**3.\nAnswer: -(n + 1)**3*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81314119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/92 and -85\/419772?\nAnswer: 9654756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/135 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 13*j - 26. Let q be n(15). Let y = -4 - -6. Suppose -a + q*c = -y*a + 19, 3*c = -2*a + 38. Solve -5*v - 2 = 4*p - a, 0 = -5*p + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -664357?\nAnswer: -7\/664357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 1 - 298*x**2 + 300*x**2 - 4*x)*(x - 2*x + 2*x).\nAnswer: 2*x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 167\/3. Let s = 1257\/8 + -157. Is r equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735800 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*n = 1538958 + 3459118 + 172964. List the prime factors of n.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 1.2\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from tltltllltttltlltltlt?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73192502*i - 19*i**2 + 73192502*i - 2*i**3.\nAnswer: -2*i**3 - 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-11 + 3) - 6) + -3 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.889 - -0.111. Let u = 58.37 - a. Put u, -5, -4 in increasing order.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 3, j: 2, p: 3, a: 1}. Give prob of sequence jppj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 119. Let v = i - -162. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7580 + -4226. What are the prime factors of t?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3209 by 3209.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -188, -284, -380, -476?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103220 - -10?\nAnswer: 103230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/5 in 0, -3, -0.01, -18580, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 0.4 (c) 4 (d) 51 (e) 0.5209\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118767597 is divided by 512?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/11 + 186793*z**3\/11 + 280202*z**2\/11 - 747187*z\/11 + 280194\/11 = 0.\nAnswer: -3, 1\/2, 1, 93398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 150298, 150251, 150204?\n\"Answer: -47*d + 150345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755 - 3755 - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 81323?\nAnswer: -147\/81323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:50 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 653*u**2 - 5785*u + 7074. Calculate m(-644).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 h when three letters picked without replacement from hhdlpl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 1\/12*z**3 - 2*z + 0*z**2 - 1\/168*z**7 - 1\/16*z**4 + 1\/40*z**6 - 1\/80*z**5 + 0. Solve g(j) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29708511)\/241706 + 3\/(-34)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 262, 266, 270, 274, 278, 282?\n\"Answer: 4*f + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1847, 8, 5, 11 in decreasing order.\nAnswer: 1847, 11, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*z + 2 = 0, -z + 16 = -2*i - 5*z. Find the common denominator of -32\/5 and (171\/i)\/(-3 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 26*n - 9. Let m(y) = -3*y + 1. Let b be 15\/((-45)\/24) + 2. Let d(a) = b*m(a) - h(a). Give d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 - 847*g**4 - 18433*g**3 - 78729*g**2 - 64944*g + 83916 = 0?\nAnswer: -259, -18, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5807 is divided by 162?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let o(d) = 2*d**3 - 2*d**2 + 2*d + 1. Let m be o(n). Calculate the highest common divisor of 130 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170 - 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142 (base 5) to base 10.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**6\/33 + 18*r**5\/55 + 37*r**4\/22 - 554*r**3\/33 - 624*r**2\/11 - 640*r\/11 + 3189. Solve g(d) = 0.\nAnswer: -5, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b = 35*b + 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (14 + -8 + (-3 - 12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 371. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -29.6, 0.4, 3.4, 1, -37?\nAnswer: -29.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60296 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 - -130.9999921. Round s to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 1, o: 2, k: 1, v: 1, c: 1}. Give prob of sequence fkc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(171))**2 - sqrt(171) - (-1 + sqrt(76)\/sqrt(4) + -1)**2.\nAnswer: -536 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/15, -2\/25, -4\/7, -4, 289?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in 5, 15, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**3\/5 + 274*p**2\/5 + 708*p\/5 + 144\/5.\nAnswer: 2*(p + 3)*(p + 12)*(9*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -1.93. Let m = -48.2 - -94. Let s = 46 - m. Which is the closest to -2\/7? (a) 4 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 353958*s**3 - 2697?\nAnswer: 1061874*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000990777 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6.7. Let r be (-1)\/(-7)*(-4)\/(-2). Which is the nearest to 0.2? (a) r (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + (11 - (-1192)\/(-24))*-27. Solve -i*v = -1020*v + 84 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Let o(d) = -d. Suppose -10 + 0 = -5*i - g, -7 = i + 2*g. Suppose 8*x - i*x - 25 = 0. Let s(f) = -6*f. Let c(t) = x*o(t) - s(t). Give q(c(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 + -104. Let a = 286 - 5432\/19. Let p = 2 - -3. What is the biggest value in b, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -914.7621 and 9.\nAnswer: -8232.8589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*j - 438*j - 675*j**2 + 1334*j**2 - 660*j**2.\nAnswer: -j**2 - 524*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 7040?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 500\/(-700)*(-13 - 1111\/(-55)).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/251 and 9\/3311.\nAnswer: 831061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103769905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11220742.\nAnswer: 2, 13, 431567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/129 (b) 1 (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/33)\/(v*v**12)*(v**4*v)\/v**16)**(-6\/19) assuming v is positive.\nAnswer: v**(1582\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -3. Let h be 1\/2 - (-18)\/4. Which is the closest to y? (a) h (b) -1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 247*x**3 - 967*x**2 - 1215*x.\nAnswer: -x*(x - 243)*(x - 5)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 125*z - 341. What is k(55)?\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 7*o**2 - 6*o + 19. Let w be y(-8). Solve -w*g + 2 = a - 0*g, 5*g = 4*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*y - 198*y + 476*y + 180*y + 298*y.\nAnswer: 1248*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**3 - 2 + 6*z**3 + 4*z**3 + 3*z**2 - 5*z**2 as k*z**2 + r + t*z + y*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 28 = h. Let a be 8\/28 - 38\/h. What is the greatest common factor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 4 + 4)*(-2*z + 3*z - 2*z) - 3 + 3 - z**2 + (5*z - 8*z - 4*z)*(2*z + 0*z - 3*z) in the form a + t*z**2 + g*z and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = -5*q - 5*x, -x = -2*q - 0*x - 194. Let i be (-4)\/(q\/(-27)) + 1. Which is the third smallest value? (a) i (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 2. Let r be 0\/((-9)\/3 - -1). Let g be c(r). Solve v - 9 = -g*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.996 times -0.15?\nAnswer: 34.9494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 21444423?\nAnswer: -21444422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j*p*u*v + 350868*j*p*v**2 - 260*j*v**2 + 2*j - 2*p*u*v**2 - 26110*p - 2*u + 238 wrt v?\nAnswer: 701736*j*p - 520*j - 4*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3524, 3555, 3608, 3689, 3804, 3959, 4160?\nAnswer: 4413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 14*i**2 + 2*i - 17. Let y(q) = -q**3 - 8*q**2 - 8*q - 3. Let w be y(-7). Suppose -w*v + 52 = -4. Is j(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 - 2. Let a(t) = -t**3 - 4*t**2 - 2. Let g(d) = 5*a(d) - 4*v(d). Let b(z) = z**3 - 4*z**2 - 2. Let q be b(4). Give g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 934220 or 2\/7?\nAnswer: 934220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -1\/24*w**4 + w**2 + 0*w + 0*w**3 + 0 - 1\/20*w**5. What is the second derivative of u(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 3 + 9 - ((-11 - -6) + -24).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1295, 135814, -3 in ascending order.\nAnswer: -3, 2\/1295, 135814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 12, 3\/4, 0, -1\/3.\nAnswer: -1\/2, -1\/3, 0, 3\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*t + 1 = -12, r = 3*t + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 3, r: 1, e: 5, b: 5, t: 3}. What is prob of sequence xr?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.9 and 4556.4.\nAnswer: 4559.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3781*p - 3890. What is s(-1)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u - 4. Let w be c(-2). Let o = w - -18. Suppose 0 = -o*x - x + 149. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -68. Let d = c + -28. Let o(f) = -f**2 + 10*f - 2. Is 6 a factor of o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (14 - 15) - 21 - (0 - -98)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 + 8*r - 16. Determine a(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 3\/2*i**2 - 2 + 1\/3*i**3 - 2*i. Calculate l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395132348 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176983.6t to micrograms.\nAnswer: 176983600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -95.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 34*r + 8120 = 0. What are the prime factors of r?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + 173. Let d = w - 174. Let n be 246\/(-2)*3\/(-9). What is the greatest common divisor of n and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1775, 14289, 48259, 114413, 223479, 386185?\nAnswer: 613259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -33 (c) 1 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u - 4*m = -1856, 3*u = 5*m - 1124. Let x be (-4)\/6 + u\/(-12). Let y = 12 + x. What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 9319?\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = 4*j, -5*r + 3 = 8. Solve -j*i - 12 + 32 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*m - 5. Suppose w - 6 = -r, 3*w - 2*r = -m*r + 17. What is the biggest value in 2, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*(-27)\/6. Let c(n) = n**3 + 3*n**2 - n + 1. Let t be c(m). What is the first derivative of 2*r**t + 36 - 29 - r**4 wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*h**5 - 168*h**4 + 549*h**3 + 1023*h**2 + 399*h + 45 = 0. Calculate h.\nAnswer: -5, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1930.6 nanometers?\nAnswer: 0.0000000019306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9724 = 4*b, 0*x = 2*b + 4*x - 4868. Let j = b + 2121. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 119?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 + 15*p**3 + 50*p**2 - 120*p = 0?\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -19.8242564843\nAnswer: -19.8142564843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b0435 (base 13) to base 4.\nAnswer: 20102013130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10139, -11958, -14989, -19232, -24687?\nAnswer: -31354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -295 - -a?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 - 5*f**3 + 2*f**3 + (-2*f + 2*f + 2*f**2)*(2*f - 6*f + 2*f) + 4*f**3 - 33*f**3 + 61*f**3 - 2*f**3 - 4 + 4.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -163*j + 2119, 2*n + j - 4691 = -4678 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9) + 16\/6. Let b be u + -1 + 1 - -2. Suppose 3*c + 5 = -j, -4*j + 12 + 16 = -b*c. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 3)*(2 + -3). Solve -3*s**3 - 9*s - 7*s**2 - 2*s**2 - 1 - a - 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079989 to 5 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 10:01 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c + 3 = 0. Suppose 0 = c*l, -55 + 1 = 2*m + 3*l. What is the remainder when 41 is divided by (-384)\/m - (-4)\/(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*w = -4*t - 15, -3*t = 4*w - 19. Which is smaller: t or 13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:08 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i + 16, 0 = -5*u - 3*i + 433. Let t = 125 - u. Let f be (4\/(-21))\/(t\/42). Which is the smallest value? (a) -3 (b) -2 (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 286 = 0. Suppose 705 + 531 = -6*x. Let j = 217 + x. What is the highest common factor of m and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1377552 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 - f - 1. Let o(c) = 1. Let q(p) = 24*p - 167. Let d be q(7). What is d*o(z) - l(z)?\nAnswer: -4*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 491 or 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3458 and 7958587.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d**3 + d**3 - 1878*d**2 + 1833*d**2 in the form l*d**3 + j*d**2 + h + u*d and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 + 4*w. Let a(b) = -18*b - 7. Determine a(y(j)).\nAnswer: 108*j**2 - 72*j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 168*r**3 - 180*r**3 + 524*r**3 - 5 - 180*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u**3 - 1\/12*u**6 + 5\/336*u**8 + 0 + 0*u**5 + 0*u + 5\/24*u**4 - 13*u**2 + 0*u**7. Solve k(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777672 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/((1 - 2)*2). Let f(x) = x + 3. Let g be f(i). Let w(k) = 3*k. Calculate w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-25 - -65) - (2 + 5 + 35).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/7)\/((-7)\/49). Suppose -y + i*y + 10 = 0. Let z(x) = -2*x + 4. Let b(k) = k - 2. Determine y*z(s) - 5*b(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let p(l) = -4707*l. Determine p(w(u)).\nAnswer: -14121*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -33*y**2 - 63*y - 7. Calculate r(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93\/64 + 3337\/192. Calculate the common denominator of -29\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5832438, 5832418, 5832362, 5832252, 5832070, 5831798?\nAnswer: 5831418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/13 less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -2*b**2 - 7 + 4\/3*b**3 + 0*b. Factor d(k).\nAnswer: 4*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b + 4. Let v(m) = 2*m**3 - m**2 + 3*m + 8. What is -2*v(d) + 5*w(d)?\nAnswer: d**3 + 2*d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - l**2 + 3*l - 19 + 41 to the form b*l + q + i*l**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101201 (base 3) to base 10.\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) + ((-3416)\/(-72))\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 365*o**2 + 26*o + 41. Let m be r(-31). Round m to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/89470 and 71\/3112.\nAnswer: 357880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/182*7\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**4*d + 5*c**3*d + c**2*d - 42*c**2 wrt c.\nAnswer: 120*c*d + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 - 5*g**3 + 2*g**3)*(-1673 + 3151 + 1278) as x + f*g**3 + z*g**2 + u*g and give f.\nAnswer: -5512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 14*a + 2*a)*(242*a + 292 - 292 + 4*a + a - 7*a + (0 + 0 - 1)*(-4*a + a + 2*a)).\nAnswer: -1687*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:03 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2 - 6*d**2 - 3*d - 3*d**6 + 3*d wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36765 and 294120?\nAnswer: 294120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + 2*g**3)*(-g**2 + 6*g**2 - 2*g**2) - g**5 + 3*g**5 - g**5 + 3*g**4 - 4*g**5 - 3*g**4.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 6, i: 5, z: 3, k: 2}. What is prob of picking 3 z?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363895 is divided by 8500.\nAnswer: 6895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12000 (base 4) to base 7\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 - -59. What is the tens digit of t\/(-4) - 2 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*h - 310 = 4*h, 3*h = 3. Suppose -13*n + 4*g + 764 = -9*n, -2*n - 5*g + 410 = 0. Suppose 0 = 3*x - n - k. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) - (sqrt(1008) - sqrt(7)))*6.\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 9*m**2 - 5*m - 17. Let q(c) = -6*c**3 + 11*c**2 + 6*c + 18. Let s(p) = 5*j(p) + 4*q(p). Give s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - q - i - 36, i - 72 = 13*q - 78 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -137\/1746?\nAnswer: -137\/1746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394113401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*b = -29, 0 = 4*r - 3549*b + 3544*b + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/43 at most 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730221225 divided by 3.\nAnswer: -243407075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 294 - 6*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418536 and 60.\nAnswer: 2092680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -875824 - -875868.3831. Let d = i - 0.0331. Let q = -42 + d. What is q rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240365 (base 7) to base 8.\nAnswer: -124624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 5*i**3 - 6*i**3 + 18*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 - 14*o**3 + 3*o**4 + 154*o**2 - 10*o**3 - 5*o**4 wrt o.\nAnswer: -24*o - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 - 271. Which is bigger: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 1\/6*x + 1\/12*x**2.\nAnswer: (x - 4)*(x + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46.16 and 71.\nAnswer: 117.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 109*w + 67. Let i(r) = -r**2 - r - 2. Let a(v) = 4*i(v) - x(v). List the prime factors of a(33).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/(-1))\/(-2 + 580\/296)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 - 3 = 0, 44 = 9*m + 4*b. Solve 0 = 4*s - m*o + 20, -s - o - 8 = -5*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/41748749 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-2*-1.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4 + -2)\/(-2). Let n = g + 2. Let h(w) = 3*w - 5. Let o(u) = u - 2. Calculate n*h(x) - 5*o(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**5\/120 + 13*p**4\/24 + 17*p**3 - 2. Let f(a) be the third derivative of c(a). Determine f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -28. Suppose h*r - 140 = 241. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*o - 5*o. What is the nearest to o in -2\/5, 4\/3, -3\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*s - 38*s + 110*s + 24*s - 19*s to p*s + h and give p.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1. Suppose -180 = -6*y - 12. Let t(f) = -2*f + 14. Determine y*w(o) + 2*t(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -1031, -1 in ascending order.\nAnswer: -1031, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/60 - r**3 + 4*r**2. What is the first derivative of z(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -3\/1000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186586 divided by 1?\nAnswer: 4186586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160 - -2?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 7*q**2 + 10*q - 12. What is d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*s - 0*s - 1224, -416 = -s + 3*x. List the prime factors of s.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + 3*d**3 - 11*d**2\/2 - 4*d - 6. Let r be n(-10). Put -1, r, 5 in ascending order.\nAnswer: -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -402749 - -271679. What is p rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1046*s*x**4 + 391*s*x**2 + 27*s*x - 38*s - 54168*x**4 - 3*x**2 wrt x.\nAnswer: 25104*s*x - 1300032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12*y. Let m be i(2). Let a = 56 + m. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 11) to base 10.\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 48*s - 87. What is the second derivative of 134*k**2 + 28*k + 62*k**2 + 83 - 32*k**s + 49*k**2 - 84 wrt k?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + x**3 + 32 + 0*x**2 - 9*x + 58*x**3 + 30*x**3 - 27*x**3. List the prime factors of r(3).\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11275 and 162800?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -314800 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 2*v. Let c(f) be the second derivative of -f**3\/6 - 117*f. What is c(q(i))?\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 - 81. Suppose -5*d = -4*o - 18, -r = 5*o - d + 5*d. Let s = o + 22. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6442151, 12884300, 19326449, 25768598, 32210747?\nAnswer: 38652896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6\/h)\/h)\/(h*h*(h\/(h\/h**(-7)))\/h))**10 assuming h is positive.\nAnswer: h**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -77*a**5\/10 + 593*a**4\/24 + 19*a**2. Find the second derivative of b(z) wrt z.\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46047 + 117386. What are the prime factors of f?\nAnswer: 71339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 24*u + 2. Let n(j) = 1 + 16*j - 4*j + 0. Let h(c) = 7*n(c) - 4*y(c). Let i(b) = -b**2 - 5*b - 1. Let l be i(0). Determine h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-832)\/(-32)*(-4)\/(8\/2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 9*s**2 - 4*s**2)*(5*s - 2*s - 5*s) + 4*s**3 - 3*s**3 + s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1010447 divided by 14\nAnswer: -1010447\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 + g**2 + 4*g + 5. Let z be b(-2). Suppose 0*t + 3*t = -i + 1, 5*i - z = -5*t. What is the remainder when i is divided by -5*4\/(12\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:19 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10973 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001233987 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**8\/6720 + s**5\/120 - 5*s**4\/12 - 5*s. Let c(r) be the third derivative of t(r). Differentiate c(x) wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 15*c - 42. Let h be x(10). Let m be (-213)\/(-12) - (-2)\/(h\/(-3)). Solve 5*i + 0*i = l + m, 2*l - 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*o - 0*o - 39, -2*j = -5*o + 3. Let w be -2*10\/(-4)*4. Factor w*v**2 + j*v**4 - 31*v**4 - 40*v + 5*v**5 + 26*v**3 + 4*v**3.\nAnswer: 5*v*(v - 2)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-6)\/(-4))\/((-8)\/(-11632)). Let j = p - 1367\/2. Let h = 36939\/4280 - 3\/535. Calculate the common denominator of h and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + (9 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285 a factor of 1863340031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((2\/(-4))\/(-1)). Suppose -h + y = h. Suppose -7 = 2*d + 5*z - 2, 3*z = -3. Put h, -1, d in increasing order.\nAnswer: -1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 91.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -12. Suppose -k = 4*d - 2*k - 61, -d + 2*k = -g. Does 22 divide ((-165)\/(-4))\/(6\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, 0, 29, 330 in descending order.\nAnswer: 330, 29, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1645.0025256 + 1645. What is x rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 16. Suppose 0 = 2*x - 37 - f. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*n + 15630, 13851 = 2*v + 4*n - 17385. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16520069 a multiple of 1589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5573 - -8279. Does 70 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmnmbkbkobnninknn. What is prob of picking 1 k and 3 n?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -242, -6\/7, 0.07, -2\/5, 0.03, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let r = 0 - 4. Let j = r - -2. What is the biggest value in i, 0.1, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44456 + 17933. Is h\/(-49) + 2\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3644091122 to the nearest integer?\nAnswer: 60366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582356.\nAnswer: 2, 3, 29, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 270778 and 270792 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Let d be (9 + s)*(-1)\/(-3). Solve -4*p + d = 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let f(a) be the first derivative of -a**3 + a**2 + 5*a - 14. What is -f(o) + 5*m(o)?\nAnswer: -2*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:42 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Let w(j) = -277502*j + 8. Let a be w(y). What is a rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225547863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1087\/96 - 11\/32. Let u = -169\/15 - n. Determine m, given that -u*m - 2\/5*m**2 + 2\/5*m**3 + 2\/5*m**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27534 - 27495. Solve -55*j + p*j - 32 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 19400 = -14270 + 22852. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 986, 1921, 2748, 3413, 3862, 4041, 3896, 3373?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u - 2*u)*(1219*u - 750*u + 972*u + 1690*u + 2484*u).\nAnswer: 11230*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 45. Suppose l*h + 47 = -4*q, 6*q - h = 3*q - 59. Let c be (1\/((-1)\/q))\/2. Solve 2*k - 1 - c = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/(-5*3\/(-45)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)*32\/128.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30002445 + 4?\nAnswer: -30002441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -6*o, -396*o + 394*o = -v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 - 12 = m, m = a + 10. Suppose 127 = m*t - 283. Calculate the smallest common multiple of 2 and t.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/32 + 7*q**3\/12 + 49*q**2\/16 + 9*q\/2 + 2395. Suppose t(a) = 0. What is a?\nAnswer: -9, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c5 + 33?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-432)\/(-45))\/(-12))\/((-14)\/(-35)). Let z be ((-3)\/78)\/(1\/4). Which is the second smallest value? (a) g (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519917 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111104 - 111104 + 20*o - 18*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*9*(-4)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -77. Find the third derivative of -5*d**2 - 9*d**2 - 2*d**k - 6*d**2 + 41*d**5 wrt d.\nAnswer: 2460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217107681 a multiple of 5027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 131, 607, 1449, 2651, 4207, 6111, 8357, 10939?\n\"Answer: -k**3 + 189*k**2 - 84*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/42*(-9)\/(-6). Which is the biggest value? (a) 1.78 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528 is divided by 745.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 9*y**2 - 6*y - 11. Let g be x(8). Suppose -g*a = -0*a. Solve -2*o + a*o = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = 3*h. Let f = 6 + h. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 3*q + 14. Calculate the remainder when u(3) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t - 45 = 0. Let h be 18000*(2 - (-282)\/t). Suppose -2*l + l = h. What is l rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4084*p. Let w(d) = -2*d + 35052. Give s(w(h)).\nAnswer: -8168*h + 143152368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from onnoocg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16996 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1521 and 1\/810 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**3 - 5*p**3 + 8*p**3 + (-2 - 5 + 3)*(p + p**3 - p) + (-p**2 + 2*p**2 - 3*p**2)*(-4*p + 4*p - p) + 3*p**3 - p**3 - p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 5843.\nAnswer: -5843.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9992, 5, 0.17, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -47. Let m be i\/(22\/(-2) - (-5)\/10). What is the closest to -1\/4 in 3, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Suppose -7*g + 3*g + 26 = 2*q, -5*q = c*g - 29. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 823878?\nAnswer: -823873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780 = 3*t + 2*t - n, -4*n = 0. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -5*d**4\/4 - 15*d**3 - 75*d**2\/2 + 125*d + 7. Factor x(n).\nAnswer: -5*(n - 1)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*m + 29289 = 0, -32*s + m = -28*s - 117213. Does 99 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 11:00 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 49975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**4 + 63*s**3 - 579*s**2.\nAnswer: -168*s + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/(r\/r**(-3\/5)))**(-36) assuming r is positive.\nAnswer: r**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 7*o - 2. Let f(c) = -c**2 - c. Suppose 92*b - 75*b - 85 = 0. Calculate b*f(z) + i(z).\nAnswer: -4*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12925 and 55421225?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338417.\nAnswer: 3, 19, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5\/5 - 36*o**4\/5 + 132*o**3\/5 - 28*o**2 + 48*o\/5 = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9*(0 - -6). Let n be (2\/(-1))\/(z + 3). Suppose 0 = -u - 2, 0 = 2*f + n*u + 3*u - 4. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225432 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 8. Let i(u) = u**2 - 6*u + 8. Suppose 20 = 5*s - 10. Let o be i(s). Let g be z(o). Let x(h) = -h - 6. Give x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 29 + 30 - 31729*x.\nAnswer: -31729*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.035 - -3.035. Let s = -5918 - -5887. Are s and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -3\/10 (b) 2\/7 (c) 1\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 63 + 427. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306580?\nAnswer: 2, 5, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpppdppp. Give prob of picking 2 p and 1 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(108) - (sqrt(1400) + sqrt(1400) + sqrt(1400) + sqrt(1400)*2 - sqrt(14)))\/((sqrt(42) + sqrt(1512) + sqrt(1512)*-3)\/sqrt(6)).\nAnswer: 146*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 19.8. Let o = 18.7 - c. What is the smallest value in -5, 5\/3, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 2*n + 130*n**3 + 15*n**3.\nAnswer: 145*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*s - 4*c - 41, -2*s - 1678*c + 1674*c = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(2 - 1 + 1 + (3 + 3 - 5)*(5 - 2 - 2) - 1 + 0 - 1 + 3 + 4 + 1)*(5*g**3 - g**3 - 2*g**3).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + 32*b. Let p(t) = 2*t**2 - 11*t. Let z(h) = 6*d(h) + 17*p(h). Find the second derivative of z(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30567 + -16802. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -294968 divided by -73742\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 22. Let z be g(-10). Let r = -15 - z. What is the tens digit of r\/9 - (-140)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 29. Suppose n + 2*n - 6 = 0. Let m(j) = 5*j - 1. Let d be m(n). Let g be h(d). Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5062189.2 to the nearest 1000.\nAnswer: 5062000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1316647, 1316642, 1316637, 1316632, 1316627?\n\"Answer: -5*c + 1316652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 346929 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9133716 centimeters in millimeters?\nAnswer: 9.133716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36728 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 11:01 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, -4, 3, 104.\nAnswer: -4, 0, 1, 3, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 732*n**3 + 1. Let o(m) = -m**2 + 2*m + 36. Let h be o(7). Is v(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/2 - 190143*y**2 + 6076174122*y - 3190684973796 = 0 for y.\nAnswer: 534, 63114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + ((-63480)\/(-75))\/(5\/((-8050)\/(-4))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c**3 - 21*c**2 - c - 12. Let p(k) = -2*k**3 - 1. Let m(n) = 5*p(n) - z(n). Let j be m(-7). Solve 5*w + j*w = 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, 1 in ascending order.\nAnswer: -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22716677?\nAnswer: 22716677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 113165.\nAnswer: -14\/22633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1850.2 + 1845.2. Let g(v) = v**3 + 3*v**2 - v + 3. Let j be g(-4). Let w = -13 - j. What is the nearest to 1\/4 in y, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u - 14. Calculate the smallest common multiple of 2 and ((-6)\/7)\/(1\/u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:36 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80, 77, 76, 77, 80, 85?\n\"Answer: o**2 - 6*o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 46 = 4*t. Suppose -4*s - 21 = -5*g + 28, 4*g = -3*s + 33. Calculate the remainder when t is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 28*f**2 - 30*f + 34. Calculate o(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from zzsstozsokkzzwtssoks?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - 4*o. Let g be b(3). Calculate the greatest common factor of 264 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99950834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 242322000 (base 5) in base 13?\nAnswer: 30a020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607873213.\nAnswer: 19, 31993327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 + 13 = 0. Let d(v) = -v**2 - v - 6. Let r(n) = n**2 + 1. Let q(z) = s*r(z) - d(z). Factor q(h).\nAnswer: -(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o, 4*h - h - 12 = 3*o. Find the third derivative of h*g**6 - 10*g**2 - 12*g**2 + 7*g**6 wrt g.\nAnswer: 1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 344?\nAnswer: -343.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485 - 520 - (-23 + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2592)\/180)\/(16\/(-20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 51 = 5*x + 4, 2*x + 82 = 4*t. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122110 + -101?\nAnswer: 21122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k - 22 + 4 - 7*k + (12*k + 105*k - 37*k)*(3 - 2 - 3).\nAnswer: -162*k - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 15. Suppose 2*m + 18 = -2*g, -95*g = -93*g + 4*m + 16. What is c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwfim. Give prob of sequence imwi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 3*x + 7 - 7.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let f be 102\/30 + (-2)\/5. Let g = -1 + f. Let x(n) = 0 + 0 - n**g. What is x(d(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.02.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 300\/66 - 6\/11. Suppose 0 = 5*a - v - 32169 - 19131, -y*v = a - 10281. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 825\/14 - 59. Calculate the common denominator of v and 0 + 166\/36 - 1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 649.8 - 650. What is the closest to 2\/9 in 6, -4, o, -9.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, 11365061 in increasing order.\nAnswer: -3, 1, 5, 11365061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + (16 - (45 + -7))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**2 + 77*u + 278. Calculate a(-5).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 36. Sort t, 0.4, 3\/5, 25 in increasing order.\nAnswer: 0.4, 3\/5, t, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-144170.\nAnswer: 3315910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 4*z**2 + 8\/3*z**3 + 29\/10*z**5 - 3\/7*z**7 + 7\/15*z**6 - 5*z - 13\/2*z**4 + 0. Let q(k) = 0. Calculate k.\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -23, -1\/22, -26\/11, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 11*p**2 - 12*p - 4. Suppose -z + 20 = z. Let u be -2*z\/(-6)*-3. What is the tens digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7*j = -8, -3*u + 84*j - 89*j + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/25 - 26\/(-10). Suppose 5*j - 3 = 3*r, 5*r + 2*j = 23 + m. Let z = r - -36. What is the highest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r - 0, -4*p - 5*r + 33 = 0. Let m be ((-14)\/p)\/(1\/(-3)). Suppose 3*b = -5*w + 26, 8 = 3*w + b - m. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q - 12 = 0. Let z be (q\/(-9))\/((-8)\/(-12)). Let b be 1 - (4\/z)\/1. Solve j = -w + b + 1, 0 = 3*w + j - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2599 = -4*d + 1725. Suppose 0 = -6*p - 187 + d. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 28 = -4*u, -2*u + u + k + 8 = 0. Let b(x) = 3*x - 8. Let r be b(7). Suppose 0 = 2*z + 10, -4*z - r = -3*i + 10. Sort i, u, 3.\nAnswer: i, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 0, -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 3*o**2\/2 + 3426. Let j(k) = -12*k + 35. Determine j(s(l)).\nAnswer: -36*l + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/73 (b) -0.289 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13217 is divided by 4403.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 14*s - 49. Determine m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -3*a**2 + 2*a + 6. Let r be k(-1). Which is bigger: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m**2 + m + 1. Suppose o - 6*o - 3*i = -45, 2*i - 27 = -3*o. Let n = o - 7. What is j(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*m = -2, 3*m - 27 + 42 = 0. Let o be -17 + 23 - (0\/(-1))\/h. Solve -o = -4*d + 2*b, -6*d + 13 = -d + 3*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:34 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woe when three letters picked without replacement from weuewwywbbyoow.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**8\/84 + 7*m**6\/30 - 2*m**5\/5 - 7*m**2. Determine k so that o(k) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -135, -304, -541?\n\"Answer: -34*a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 78*v + 1791. Give g(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3189315 or -3189312?\nAnswer: -3189312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.96397 millilitres in litres?\nAnswer: 0.07096397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 9*t + 27\/10*t**5 + 1\/3*t**6 - 1 + 25\/3*t**4 + 8*t**2 + 12*t**3. Let x(z) = 0. Calculate z.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570025539?\nAnswer: 2570025539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -0*r - 5*r + 16, -12 = -4*b + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6))**(3\/4)\/(a**(8\/7)*a)**(3\/8) assuming a is positive.\nAnswer: a**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 4 - (-2 + -2). Let x be -4*(-1 + 0 + k). What are the prime factors of (2\/(-1))\/(11\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + sqrt(130) + (sqrt(130) - (sqrt(130)*-4 + sqrt(130))))*-1 + sqrt(130) + sqrt(130))*4)\/(sqrt(1000) - (6*sqrt(1000)*3 + sqrt(1000)))*1.\nAnswer: 4*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524173 and 8906?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -354860 (base 11) to base 7\nAnswer: -4532400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 14. Suppose -2*i - i = 9, -5*m = 4*i - 13. What is the fourth smallest value in -0.2, -5, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u**(-35))\/u)*u)\/(u*(u*u**(2\/21)\/u*u)\/u*u) assuming u is positive.\nAnswer: u**(712\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 156 - 79 = 32*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 105. Let w(r) = 2*r**2 - 2*r. Let p be w(-2). Suppose 3*k - p = -0. Which is the third biggest value? (a) m (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6105 and 13905155.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -16*d + 419 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 5. Let l(j) = j**2 + 11*j - 10. Let b be l(-12). Let d(s) = 13*s - 11. Let z(i) = b*d(i) + 5*a(i). Does 19 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35540917 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: In base 3, what is -10020 - 1?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/568 and 117\/2840.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28033*s**3 - 516*s**2 + 259*s - 14352 wrt s?\nAnswer: 168198*s - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000311240687 to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2192 and 204702112.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116284*d + 1736 = -116408*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*u - 26*u**2 + 0*u + 9*u + 0*u wrt u.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234794 = -20*m + 89*m - 256417. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*2*((sqrt(11) + (2 + sqrt(396))**2 + -2 - 4*(sqrt(66)\/(sqrt(30)\/sqrt(5)))**2) + 1).\nAnswer: 750*sqrt(11) + 10650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183479\/120 - -1529. Let a(u) be the second derivative of 0 + 0*u**2 + 1\/12*u**3 + n*u**6 - 2*u - 1\/48*u**4 - 1\/40*u**5. Factor a(t).\nAnswer: t*(t - 2)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, 18, -71, 0, -532 in descending order.\nAnswer: 18, 3, 2, 0, -5, -71, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.3. Let v = -1.14 + -0.86. Sort d, 1\/6, v in descending order.\nAnswer: d, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37397499 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -21, -44, -73, -108?\n\"Answer: -3*g**2 - 8*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -16*i - i. Suppose 21*k = i*k - 2. What is the remainder when 17 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p - 3 + 14*p - 7*p**2 + 4 + 0*p**3 - 2*p**3 to b*p**2 + v*p + m + i*p**3 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -170622.5807 rounded to the nearest 10?\nAnswer: -170620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2 + 19*q = 0?\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4400 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 322, 1060, 2486, 4828, 8314?\nAnswer: 13172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {f: 1, w: 2}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 961, 1920, 2877, 3832, 4785, 5736, 6685?\nAnswer: 7632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-48)\/32)\/(3*(-4)\/3296) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 21 + w**2 - 2*w**2 + w**4 - 3*w**3 - 35 as z*w**3 + o*w + y*w**2 + x + f*w**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiiiiu. What is prob of sequence uu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 6, p: 1, m: 2, h: 5}. What is prob of sequence cmmc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o**(2\/39)*o))))\/o*o\/(o**(-6\/7)\/o) assuming o is positive.\nAnswer: o**(493\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1000*p + 203. What is the units digit of m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1326*a - 661*a - 3539*a**2 + a**3 - 665*a to f + k*a**2 + r*a + h*a**3 and give k.\nAnswer: -3539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/7 - -9 - 654\/(-650). Let q = x + -1318\/2925. Which is the second biggest value? (a) -2\/23 (b) q (c) 1\/4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*l**4 - 18*l**3 + 14235?\nAnswer: -60*l**3 - 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(32\/80)\/((-10)\/(-25)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - -1. Suppose u - 2*u + 1 = -3*v, -3*u - 4*v = -16. What is the closest to 2 in -1, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g + 4. Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/2 - 6*k**4 + 9*k**3\/2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 plus -213?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.3 + 8. Let q be 1\/((-4)\/10*200\/(-32)). Is q at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*x - 3 = 9, 3*x = -4*p + 20. Let l = p + 0. Solve 0 = j + l*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 2*x - 20 = 0, -2*c - x - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*w + u - 4*u, u = -4*w + 32. Let j be (w\/(-6) - -1)*-4. Let v(p) = p**3 + 7*p**2 + 6*p - 10. Let k be v(-5). Solve -j*d + 7*d = -k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 92*j. Let c(d) = 28*d. Determine l(c(b)).\nAnswer: -2352*b**2 - 2576*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14016 - 9588. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4\/(-3)) + -14.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 15. Let z be o\/(-9) - 4\/(-6). Suppose -z*u + 45 - 1 = 0. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 579284962.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-339)\/(-9) + (-7)\/(-21) - 3. Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:18 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 180?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158 - -301. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 + 115. What is the remainder when 21 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 5. Suppose 4*s - 96 = 5*g, 3*s - 3*g - 72 = -0*s. What is the highest common divisor of s and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41860 and 13780?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 359 and -0.129416467998.\nAnswer: 358.870583532002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1282 + 2?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k = 84*k - 3*u + 138, -3*k = -u + 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 469, 1186, 2189, 3478, 5053?\nAnswer: 6914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1098 - -1102. Solve 2*x + 12 + 2 = -j*i, 3*i + 5*x = -21 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**3 - 8 + 6*f**2 - 7*f**3 + 9*f - 4*f. Let y be q(6). What is the highest common divisor of 110 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 16*y + 33\/2.\nAnswer: -(y - 33)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2538*d**2 + 189*d + 189. Let o(m) = -27*m**2 - 2*m - 2. Give -4*c(u) - 378*o(u).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + v**3 - 5*v**3)*(4*v + 0*v - 3*v)*(22 - 16 - 10) + (-2*v + 2*v + v**2)*(-v**2 + 4*v**2 - v**2) - v**4 - 5*v**3 + 5*v**3.\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-2 - 22\/(-6)) + -1)*(18 - -18) and 1386.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r - 1. Let p(l) = 64*l - 343. Calculate 5*g(d) - p(d).\nAnswer: d + 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -17, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 366*s - 2 + 104*s.\nAnswer: 470*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = -3*b - 43, f + 5*b = -5. Suppose 0 = -y - 17 - 18. Let r be (-7)\/f*y\/(-14). What is the closest to 0 in r, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a*x**3 + 2*a*x**2 + 14*a*x + 19*a - 8561533*x**4 + 6575*x**2 wrt x.\nAnswer: -54*a - 205476792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-522)\/6496 + 4\/(-64).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 22*o**3 + 311*o - 54002 wrt o.\nAnswer: 8*o**3 + 66*o**2 + 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/((-286)\/(-91))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 133*w**8\/192 + 3*w**7\/4 + 11*w**6\/40 + w**5\/30 + 6*w**2 - 12. Factor o(i).\nAnswer: i**2*(7*i + 2)**2*(19*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30144 + -4?\nAnswer: -30150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2613\/8*-1 - 1. Let b = h + 328. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z**2 - 6*z - 10. Let a be g(0). Which is smaller: -295\/34 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 169636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 52*k - 364. Let j be (9\/27)\/(1\/18). Let u be y(j). Solve -72*f = -76*f - u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 - 22*r**3 - 18*r**2 - 11*r**3.\nAnswer: -33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/3360 - s**5\/160 + s**4\/48 + 5*s**3\/6 + 3*s**2. Let m(o) be the first derivative of l(o). Factor m(d).\nAnswer: (d - 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 276817214 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -3. Sort -1, w, -46 in decreasing order.\nAnswer: w, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 2. Let q(l) = -68*l + 1. Let r(u) = 197*u - 2. Let p(j) = -11*q(j) - 4*r(j). What are the prime factors of p(f)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111011101000010011 (base 2) to base 15\nAnswer: -4c57d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*p - 334 + 334 + (-2 - 2 + 5)*(-1 + 1 - 2*p))*(p**2 - 2*p**2 - 2*p**2)*(7 - 2 - 3) to the form g*p**2 + b + t*p + i*p**3 and give i.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0\/(-3))\/1 - -251. Let v = -272 + m. Let r(x) = 9*x**2. Let d(b) = 0*b - 44*b**2 + 0*b. Give v*r(z) - 5*d(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23425177319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 45*k + 0 - 43\/12*k**4 - 10\/3*k**3 + 0*k**2. What is the second derivative of q(p) wrt p?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350791523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(-1\/15)*g)\/g)**11)**46)**(-8\/5))**(-1\/16) assuming g is positive.\nAnswer: g**(-253\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r**4 + 4*r**2 - r - 70 wrt r?\nAnswer: 72*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 4\/7 (c) -3\/13 (d) -0.165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + 4775?\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756d7 (base 16) to base 6.\nAnswer: 14150435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**0\/f)))\/((f*(f\/((f**6\/f)\/f))\/f*f*f)\/f)*(f**(1\/2)\/f)**(-1\/2) assuming f is positive.\nAnswer: f**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*v + 139 + 162 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 14. Let v = -0.5 + -3.5. Let l = -0.2 + 3.2. Put m, v, l in ascending order.\nAnswer: m, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Suppose -7*w + 5*w = -4. Let m(k) = 6*k**2 + 3*k**2 + 0*k**w + 0*k**2. Calculate o(m(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 126439.\nAnswer: -1\/126439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 447756.\nAnswer: 20149020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/2 (b) -2\/11 (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*u**4*v**2 + 3*u**4 + 979*v**2 wrt u.\nAnswer: 32*u**3*v**2 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfbun. What is prob of picking 1 n and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bd5 + 10?\nAnswer: 1c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - 10615063?\nAnswer: -10615113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-348)\/(-20) - 6\/(-10). Suppose -6*l = -b + 6. Suppose -2*v - 3*q = -8, -l*q = 2*v - 7 - 3. What is the highest common divisor of v and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 17402248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 83*a + 1006. Calculate f(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310303231 (base 4) to base 15.\nAnswer: -44151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 - 45253102*m**4 + m**2 + 3*m + 2299567 wrt m.\nAnswer: -20*m**3 - 543037224*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19811616 and 716.\nAnswer: 3546279264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g**2 - 24*g**2 + 11*g**2 - 8*g**3 wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 19 - 209 = -2*v, -3*v + 4*k + 285 = 0. Let y = -95 + v. Suppose y = 6*w - 9 - 9. Solve c = 2*l - 3, w*c - 1 = -0*l - 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 1. Let h(q) = -9*q - 3. Let w(b) = h(b) - 5*v(b). Let i(n) = 1. Let k(l) = -22*l + 159. Let j be k(7). What is j*i(s) + w(s)?\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133750*g - 21733 = -133961*g for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36165860 is divided by 350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250411 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 42*k - 1404 = 40*k, 2*j = 3*k - 1408. Let w = 905 + j. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1265088, -1265089, -1265088, -1265085, -1265080, -1265073, -1265064?\n\"Answer: y**2 - 4*y - 1265085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*u = 165*u - 650 - 295 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -82 (b) 0.031 (c) 149 (d) 0.01 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437055 is divided by 820.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28, -3\/7 in decreasing order.\nAnswer: 28, 5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**1*a*a*a))**(-11)*(a\/(a\/a**(8\/5)))\/(a**(-1\/9)*a))**6 assuming a is positive.\nAnswer: a**(3034\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u*u\/(u\/(((u*u**(-4\/3)\/u)\/u)\/u))*u*u\/(u**2\/u)*u**2)\/(((u*u**5)\/u**(-1))\/(u*u*u\/(u\/u**(-2\/7))*u)**(3\/4)) assuming u is positive.\nAnswer: u**(-781\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*c + 15*c + 18*c)*(-5 + 0 - 3) - 5*c - 2*c + 2*c to the form g + d*c and give d.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/56)\/(9\/(-24)). Put -0.1, y, 26 in ascending order.\nAnswer: -0.1, y, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2103*m**6*x**2 - 2*m**6*x + 9992*m**2*x - 2*m*x**2 wrt m.\nAnswer: 252360*m**3*x**2 - 240*m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5569 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 3, u: 1, a: 2}. Give prob of picking 1 u, 1 a, and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 3 + 3 - 511*g + 511*g + 54*g**5 + (2*g**4 - g + g)*(-2*g + 0*g + 3*g) + 3*g**5 + g**5 + g**5.\nAnswer: 62*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = -4*y. Let c be y + 10 + 0\/6. Let l be 19 + 1 + (-16)\/c. What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000097443 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(11) + sqrt(99)) + (sqrt(891) + sqrt(891)*-2)**2*3.\nAnswer: -24*sqrt(11) + 2661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -102302150?\nAnswer: -102302221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m + 9. Let r be 3*(-2 + (-13)\/m). Suppose -j + r = -4. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 - d**4 + 4*d**3 - 2*d**4 - 3*d**4 + 4*d**4 + (-2*d - d**2 + 2*d)*(-d**2 - 2*d + 2*d) - d**3 + d**3 + 2*d**4 + 3*d + 9*d**4 - 3*d.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 888*l - 891*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z + 60*z + 18*z**2 - 2*z**4 + 5*z**2 - 5 - 74*z + 2*z**3 to o*z + c*z**4 + b*z**2 + v*z**3 + m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 1893*t**2 + 197457*t - 5681967.\nAnswer: 3*(t - 509)*(t - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1084*c**3 - 665*c**3 + 2391*c**3)*(-6*c + 3*c + c).\nAnswer: -1284*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7556 + 141?\nAnswer: 7697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6808 and 2944?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 7*y + 100. Suppose 5*o - y = -5. Solve 0*i - 2*i + m = -3, 2*i - 28 = -o*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -26*t**3\/3 - t**2\/2 - 21*t. Let v be m(2). Calculate the common denominator of -29\/10 and (174\/v)\/((-5)\/((-25)\/4)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**4 + 415*u**3 - 1570*u**2 + 2705*u - 935. Let b(p) = -2*p**4 + 52*p**3 - 196*p**2 + 335*p - 117. Let c(y) = -25*b(y) + 3*k(y). Factor c(x).\nAnswer: 5*(x - 6)*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:40 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, 3106, -25.\nAnswer: -28, -25, 2, 3106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244675506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037583293 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5338 + -0.0338. Put f, -0.5, 5.4 in decreasing order.\nAnswer: 5.4, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 43*n**5\/40 - 27*n**3\/2 - 10*n**2 - n. Let i(p) be the first derivative of v(p). Let s(o) = -o**2. Determine i(s(z)).\nAnswer: -129*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 102\/281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 382013?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*y - 29*y - 2904. Suppose g = -w + y, -4*w - 48 = -g + 219. What are the prime factors of g?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*x + 95*x - 327 = 52*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + c**3 + 2*c**2 - c**2 - 3 + 4*c**2 + c. Calculate the remainder when m(-4) is divided by -3*-1*1*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43585 and 1265.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 498176 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-44)*v\/(v**0\/v)*v**(1\/6) assuming v is positive.\nAnswer: v**(-251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 20*c**2 - c - 17. Let s be (20\/7)\/((-850)\/70 - -12). Determine p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 17 = 2. Let r be ((-3)\/6)\/(j\/(-24)). Let i = -4.7 + 2.7. Sort r, -0.3, i in descending order.\nAnswer: -0.3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -14*v - 31 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*i - 32*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 5*a**2 + 2*a - 5. Let x be n(5). Suppose -5*k + k - j + 490 = 0, -x*j = 2*k - 254. Let l = 333 - k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 911 + -905 + (-1 - -6 - -18).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/84*((-42)\/(-4))\/(-7).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r. What is the remainder when (3 - -21)\/6*(38 - -3) is divided by z(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-2)\/12)\/((-2159)\/(-381)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/519 - -47285\/4152. Suppose 2*v - 12 + 62 = -3*f, -4*v + 28 = -2*f. Find the common denominator of f and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40100 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/15, -2, -12, -31.\nAnswer: -31, -12, -5, -2, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 0*q**4 + 3*q + 37 + 3*q**2 + 0*q**3 - 24\/5*q**5. What is the second derivative of n(f) wrt f?\nAnswer: -288*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-10)*(-130)\/39. What is the tens digit of (-50)\/d*28\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-6)\/18*2\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 94.2. Let y = 96 + f. Let d(b) = b**3 + 10*b**2 - 12*b - 12. Let p be d(-11). What is the nearest to p in -0.4, 0.3, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 k when four letters picked without replacement from pkvvpppvppvvvppvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 7741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1600 divided by 7723.\nAnswer: 1600\/7723","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0363177069 to 6 dps.\nAnswer: -0.036318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3309*f**4 - 183*f**3 - 22061525*f**2 wrt f.\nAnswer: -79416*f - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + (sqrt(243) - ((sqrt(243) + 2)*3 + sqrt(243))**2).\nAnswer: -3924 - 414*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3\/4, 2 in descending order.\nAnswer: 2, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 8. Suppose -3*n + 28 + m = 0. What is the remainder when n is divided by (-3)\/(-6)*(-8)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.74? (a) -1.4 (b) 0 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(2 - 2 - 2*v**2) + v**2 + v**2 - 5*v**2 - 2*v - 3*v**2 + 2*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 12*z + 3. Let h(r) = -r**2 + r - 1. Determine -3*h(c) - n(c).\nAnswer: 2*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duxu when four letters picked without replacement from {q: 2, d: 2, x: 8, t: 1, u: 2, y: 4}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/((18 + -16)\/22). Solve -5*b = 2*l, 4*l - q*b - 12 = -15*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzll when four letters picked without replacement from {z: 3, l: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 at most as big as -23431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17020*h = -15955*h - 69225 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144*p**3 + 446*p**3 - 1459*p**3 + (-2*p**2 - 2*p**3 + 2*p**2)*(4 - 1 + 0).\nAnswer: -1163*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 z when four letters picked without replacement from vzzzvuzzumzzveuvvmv.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = m + 128, 3*m = -u + 7 + 57. Let x = u + -60. Suppose 5*t = -0*w - x*w + 501, -3 = t. List the prime factors of w.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3*u + p**3 - 81*p**2*u**2 + 67*p**2 + 82*p*u**2 - 16*p - 3*u + 43 wrt p.\nAnswer: 24*p*u + 6*p - 162*u**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4013*x - 4095*x = -7875*x - 1631 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6456.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 23*p - 76. Solve -p*q = -12 - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-75))\/((-54)\/(-60))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 6, g: 4}. Give prob of sequence yy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 36 = -16. Let z be g\/5 + (-18)\/45. Is 4 a factor of 2\/z + (-177)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-2)\/38)\/(-1)). Let p = o + -10. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11577579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 e when three letters picked without replacement from {e: 2, w: 7, k: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.358254 tonnes?\nAnswer: 358254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2170 - -2067. Let m(i) = -i**2 - 2*i - 5. Let k be m(9). Is n at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -2018, -3042, -4080?\nAnswer: -5132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(931) + 5))**2 - (sqrt(76) + 4*(sqrt(76) - (sqrt(76) + sqrt(76)*-2 + sqrt(76))) + sqrt(76) + sqrt(76))\/(sqrt(576)*-2).\nAnswer: 3367*sqrt(19)\/24 + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = 4*l + 9, 3*l + 18 = 4*w. Let k be (l + 24\/9)*3. Suppose 4*z = -0*z. Solve -19 - 5 = -5*u + j, z = k*j - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 29, 33, 37, 41?\n\"Answer: 4*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 536 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:08 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let w(j) = j**2 + 4*j + 1. Let f be w(-5). Let r = -17 - -12. Let y(z) = z - 1. Determine f*u(p) + r*y(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10174 - 106*d - 10174 + d - d - d + (0 + 4 - 3)*(-2*d + 1 - 1))*(-4 + 3 + 0) - 2*d + 2*d - d.\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346409766.\nAnswer: 2, 3, 19244987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c - c. Let s(h) be the third derivative of 23*h**5\/60 - 2081*h**2. Determine s(o(r)).\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82964462.\nAnswer: 2, 7, 5926033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 2\/2) + 3. Solve -4*l = -0*l + 2*q - 8, -y*l - 3*q + 11 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -1\/2 (c) 2658 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-30)*11\/33*56280\/(-112)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 7*j**3 - 142*j**4 + 143*j**4 + 17*j**2 + 8*j + 3*j**3 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 25. Let t = n + -8. Suppose t = 2*i - 3. Solve -2*a - 6 = 4*u + 8, -i*a - 15 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*r - 145*r - 145*r - 144*r + 279*r + 440*r - 145*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-140)*-8)\/(15\/((-5550)\/4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230.9865 + 0.0135. Let d = r - 231.0000222. What is d rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - q + 3. Let v be c(2). Let z = v - -13. Let g be ((-10)\/8)\/(3\/(-12)). Solve -1 = -z*r + g*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let j(t) = -9*t**2 - 10. What is j(x(c))?\nAnswer: -36*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 128*m - 1757 + 23 = 0 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25 times -266.8\nAnswer: -6670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189223549.\nAnswer: 17, 853, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16550 by -10.\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 292212 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/4)\/c)**31\/(c\/c**(1\/2))**(1\/19))**(-4\/17))**(-40) assuming c is positive.\nAnswer: c**(-165000\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n - 2. Let g(f) = -5 - 22*f**2 - 14*f**2 + 33*f**2 + 3*f. Let l(q) = g(q) + t(q). Let m(x) = 2*x**2 - 2*x + 3. Determine -4*l(u) - 9*m(u).\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = 5*a. Suppose 10*f - a*f - 84 = 0. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.861 + -0.881. Suppose -2*y + z - 3 = 0, 3*y - 28 = -4*z - z. Sort y, -0.2, t in descending order.\nAnswer: y, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(68\/(-8)) - (-8)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -21*c + 2. Let s(a) be the first derivative of -3*a**2 - 1235. Calculate q(s(d)).\nAnswer: 126*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 12, a: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 685\/30)\/2 and 37\/(-3)*9\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1252069786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -599103*d**2 + 4*d + 9485475 wrt d?\nAnswer: -1198206*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 4. Let i(d) = -d - 2. Let n(t) = 13*i(t) + 6*q(t). Let v be n(-4). Find the second derivative of -2 + v - c**5 + 2*c wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11605239 * -0.38.\nAnswer: -4409990.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 37*j + 165. Let d be m(-5). Let w be 7\/42 + (-1 + 2)\/6. Put -2, d, w in decreasing order.\nAnswer: w, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*q + 27. Let s(m) = -2*m - 14. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*j = 44 - 12, -r + 4*j = 0. Let o(g) = -g**3 + 0*g**3 + 2*g**3 + 9*g**2 + 5*g. Does 7 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 5. Let b be f(4). Let d = b + 6. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1004664?\nAnswer: -1004658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8417618.\nAnswer: 2, 11, 17, 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 19. Let h(b) = -14*b**3 + b**2 - 1. Let z(n) = -43*n**3 + 3*n**2 - n - 4. Let j(t) = l*z(t) + 7*h(t). Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 36 = 44*n. Solve 22 = 5*o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - -9) - 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 49*x**6\/6 - 5*x**4\/3 - 4*x. Factor r(c).\nAnswer: 5*c**2*(7*c - 2)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:09 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**24*o)**(4\/3))**(28\/5) assuming o is positive.\nAnswer: o**(-784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 156. Let y be (22\/(-5) + 5)*5. Suppose 4*i + y*x + 21 - 98 = 0, -2*x = i - 18. What is the greatest common divisor of i and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374451 - 198152. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 3*i**2 + i + 3. Give o(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6357232 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-48))\/((-3)\/(90\/3)). Suppose -8\/9*c + 1\/9*c**x + 5\/9*c**4 - 1\/9*c**2 + 7\/9*c**3 - 4\/9 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 6 - 7*z + 1 + 2*z**4 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t**2\/6 + 22*t\/3 - 2 = 0.\nAnswer: 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 464 - 57. Is 68 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6f74e (base 16) in base 15?\nAnswer: 90401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -1 + 5\/4*z - 1\/4*z**2 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 0*x - 9*x + 2*x + 2*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 2 + 23*i**2 + 17*i - 11*i**2 + 7*i**2.\nAnswer: 30*i**2 + 17*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218540*f**5*s**3 - 8754*f**2*s**3 - 17*f**2*s wrt f.\nAnswer: -13112400*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330 (base 6) to base 16.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -215, -493, -839, -1259, -1759, -2345, -3023, -3799?\n\"Answer: -m**3 - 28*m**2 - 187*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 7*r + 21. Let d be a(27). What are the prime factors of d\/(-21) + 0 + 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 3*s = 4*a - 20, -3*s + 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254265604?\nAnswer: 2, 241, 263761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**4\/4 + 6*c**3 + 399*c**2 - 1. Give l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14\/319 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + -5 + sqrt(3) - -3*sqrt(6)\/sqrt(2).\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-3))\/((-5444)\/(-8166))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(143)\/(sqrt(11)*-2) + (sqrt(1300)*-1)**2) + -5 + 3.\nAnswer: -sqrt(13)\/2 + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 870 + -154. What are the prime factors of d?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35545152?\nAnswer: 2, 3, 185131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -38. Suppose -3*z + 9 = -o, r*z - o + 4 = -5*o. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6106 + 6106. Solve 2*o + 2*z + 2 = 0, 12*o - 9*o + 4*z = m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/91)\/(((-24)\/6)\/(-84))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y*y\/(y\/y**(3\/7)))\/(y**(-6)*y*y\/(y*y**(-5)))*(y\/y**(-2))**(-2\/37)*((y**(2\/17)*y)\/y)\/((y**(-1\/7)*y)\/y*y) assuming y is positive.\nAnswer: y**(-15292\/4403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - 6*c**2 - 7*c - 8. Let y be 3\/75*15 - 46\/10. What is k(y)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from tttddtt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from hzhzzzzzzzhzhzzzzzh?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 175854 - -3?\nAnswer: 175857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-6)*(-9)\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + (43 + -45 - -31).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-6)\/10*(7 + -2). Let u(q) = 5*q**2 - 3*q - 1. Let x be u(s). Let c = -51 + x. Solve -5 + c = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5609 is divided by 162?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*a - 6 = 0, 5*w = w + a + 7. Let u(i) = 2*i**2 + 5*i - 3*i**2 - 1 + w*i**2 + 0*i**2. Calculate u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.90037 take away 0.4?\nAnswer: 386.50037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eece + 10?\nAnswer: eede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*o + 4, -4*v + 4*o - 4 = -0*o. Let j = -0.26 + -0.04. Let b be 24\/60 + 108\/15 + (-25 - -17). What is the closest to v in b, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4 and 916?\nAnswer: 917.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 19. Let g be k(3). Suppose -2*f = -3*c + 16, -c = g*f - 8*f - 16. Factor -13*s**4 - 5*s**2 + 12*s**4 - 7*s**2 + 6*s**3 + c*s.\nAnswer: -s*(s - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 36. Let y = c + 37. Calculate the lowest common multiple of y and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 - 1086 = 94*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12\/11, -2, 2\/5?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.18511 and -282.\nAnswer: -295.18511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 6*a**2 + 14. Let b(i) = -63*i + 14. Let p(w) = 13*w - 3. Let s(o) = -3*b(o) - 14*p(o). Calculate m(s(j)).\nAnswer: 84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7044621, 14089243, 21133865?\nAnswer: 28178487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 6. Let y(z) = -21*z - 13. Let p(n) = 5*d(n) + 2*y(n). Let l be p(-2). Let u = 57 + l. Solve 2*x = 2*o + 7*x - u, -o - 4*x = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(320)*6)**2.\nAnswer: 10580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 21538 = -21534, -q - 4 = -l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 13236*y - 396180.\nAnswer: -(y + 30)*(y + 13206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/33 + 10\/11. Let r = 1197.5 + -1197. Let j = -10 - -5. What is the nearest to r in n, -0.1, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 95*((-260080)\/5 + -2). Let q = 221710 + j. What is q rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 5*n + 319 = 0, n + 155 = 2*k. Suppose 44 = 5*j - k. Let g = j + -21. What is the least common multiple of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25952?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-25\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*l + 505*l - 241*l - 180*l.\nAnswer: -202*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89659347 a multiple of 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17092601 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 118.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 1097, 1731?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -1. Let y = r + -5. Let m = y + 0. Solve m*h + 8 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/9*(-5)\/20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuuuqq. Give prob of sequence uuq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 18*x - 420. Let m be 1\/4 - 146\/8. Let g = x + m. Calculate the remainder when 19 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/10 - y**4\/6 + 2*y**3\/3 - 5*y**2\/2 - 12*y - 2. Let d(g) = -3*g**3 - 3*g**2 + 5*g - 6. What is -5*c(u) + 4*d(u)?\nAnswer: -2*u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 60.7071mg?\nAnswer: 0.0607071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/1275323 and 89\/170?\nAnswer: 12753230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 10*s - 5. What is the smallest common multiple of t(9) and (-9)\/(-54) - 118\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*g + 12 = 0, 4*f = -5*g + 4*g + 15. Let l be f - (-16 - 0) - 2. Suppose 107 = 6*p - 1015. What is the greatest common divisor of l and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4750 in -0.02, 127, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120851721 to the nearest integer?\nAnswer: 10993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (446\/12)\/((-7)\/(-105)). Let n = 20095\/36 - q. Does n = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**3 + r - 24*r**3 - 9*r + 8*r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let w(t) = -t + 214 - 214. Give c(w(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 203. Let z = 76 - y. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (5\/(-10) - 63\/(-14)). What are the prime factors of t\/3*(-1)\/((-2)\/606)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 3, u: 3, h: 2, e: 2, w: 1}. What is prob of picking 2 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3724 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -24400130?\nAnswer: 24400032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21989269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-3 + 2)*2. Let y(t) = 2*t**3 - 7*t**2 - 7*t + 14. Let n be y(4). Put n, i, 0 in increasing order.\nAnswer: 0, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -923, -1373, -1805, -2213?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**2. Let u(b) = -b**2 - 2*b + 52. Let n be u(0). Let l = n - 47. Let y(p) = 7*p - 3*p - l*p - p. Calculate y(v(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -370*f + 75. What is the remainder when k(0) is divided by (1 - 0 - 2) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = q, 2*c - 4*q + 17 - 5 = 0. Suppose -6*t + 11*t = c. Suppose g - 265 = -t*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -287 + 2354?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200573172 divided by 6.\nAnswer: -33428862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 14.4. Put -0.1, 0.04, h, -2 in descending order.\nAnswer: 0.04, -0.1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2\/3 - 1370*g\/3 - 1375\/3 = 0. Calculate g.\nAnswer: -1, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, d: 1, v: 1, e: 6, j: 4}. Give prob of picking 1 d and 1 j.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -727 + 23360?\nAnswer: 22532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270*p*q + 4*q - 16 with respect to p.\nAnswer: -270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5322000 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17 - 2)*4\/6. Let j be -3*(3 + 10\/(-3)). Suppose -j - 9 = -2*a. What is the highest common divisor of a and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1375, 3, 1\/2, 0.1, -6, -1.\nAnswer: -1375, -6, -1, 0.1, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10562\/33 + -320. Calculate the common denominator of 83\/30 and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 7*x - 15. Calculate l(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -59.\nAnswer: 0.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1 + 52*q - 7 + 0*q. Let b be a(4). Is (1 - b)*(-2)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 2. Let s(o) = -3*o - 4. Suppose -f = -j + 6, 0*f + 2 = -f. Let u(h) = j*s(h) - 7*p(h). Differentiate u(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 581, 640, 699, 758?\n\"Answer: 59*l + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13)*-1*3.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - v**3 + 4*v**3)*(13*v**2 - 9*v**2 + 3*v**2) + (2*v**3 + 0*v**3 + 0*v**3)*(22*v**2 - 11*v**2 - 8*v**2) - 3*v**5 + v**5 + 4*v**5.\nAnswer: 22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -9 - -1 - -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50)*1)\/sqrt(2))\/(sqrt(5) - sqrt(245)*-1 - sqrt(5))*-6)**2.\nAnswer: 180\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -689*j + 8945. Determine p(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 - b - 2. Let r = 1 - -2. Suppose r*x + 5 = a, -x + 3*a - 8*a = 7. What is s(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = c - 4, 4*c - 2*v - 21 = v. Let r be (c\/12)\/((-2)\/(-52)). Put -2, 3, r in descending order.\nAnswer: r, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.1 (b) 31.6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 548545872.\nAnswer: -548545869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 74*w**2 + 34*w**2 - 68*w**2 - 2*w**3 + w as k*w**2 + z + y*w**3 + p*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -1\/48*f**4 + 0*f**2 + 0*f**3 + 2*f + 0. Factor a(u).\nAnswer: -u**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 22*m - 8*r - 25 = -42*m, -m = 3*m - r + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1046675, -2093349, -3140023, -4186697, -5233371, -6280045?\nAnswer: -7326719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204410 (base 7) to base 15.\nAnswer: a65e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404213775 and 1022?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2807 is divided by 200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdbbbm. Give prob of picking 1 b and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(-3*2\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204671*g**2 + 3*g - 44478 wrt g.\nAnswer: 409342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000639175 rounded to 6 dps?\nAnswer: -0.000639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17892 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 - 161. Let y = -1.1 + 0.7. Which is the nearest to 0.1? (a) k (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.67369259 rounded to two decimal places?\nAnswer: -56.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/2199 or 0.3202?\nAnswer: 73\/2199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*g = 4 + 6, -13 = 3*q + 4*g. Let b(m) = -27*m + 4. Let h be b(q). Suppose 0*s + 5*s = h. Solve -2*x + 0*x + 3*r - s = 0, 4*x + 14 = 2*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**2 - 1. Suppose -9*s = -4*s - 1020. Let v(z) = s*z**2 + z - 201*z**2 - z. Determine i(v(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 1\/12*i**4 + 2*i + 0 + 0*i**2 + 1\/2*i**3. Find the second derivative of d(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -470*q - 78. Let a be u(-20). Suppose -4*o = 4*p - 55736, 4*o + 2*p = 46408 + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d**3 - 13*d**2 - 2*d - 30. List the prime factors of k(9).\nAnswer: 2, 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 6*c + 7. Let u be h(-7). Suppose -3*y + 9 = -u*y. Solve -4*d - 27 = y*a, 2*d + 4*a - a = -21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/(-4))\/(-5))\/((-9)\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 559902.\nAnswer: 5\/39993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72281 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 4 + 306*d**2 - 612*d**2 - 4*d**3 + 304*d**2 to the form f*d**2 + m*d + l*d**3 + q and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7444*w = 7743*w + 1794 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/7)\/d*d\/(d*d**6*d)*(d**(-1))**(8\/7) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 5*j**2 + 4*j - 4. Let y be ((-4)\/(-3))\/((-6)\/18). Let z be 0*y\/16 - -4. Is 7 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 b when three letters picked without replacement from {b: 2, t: 6, s: 3, y: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(288)*-6 + (sqrt(288) + sqrt(288) + -3 + sqrt(288) + -4 - sqrt(288)))**2.\nAnswer: 1680*sqrt(2) + 28849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 2*j**2 + j - 2. Let k be v(-3). Let c(b) = 22*b**2 - b. Let w be c(-1). Suppose 1 = 4*a - w. Solve -k = -5*g + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 28 - 152 = 0. Does 45 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 1. Let f(a) = 6*a**2 + 2*a - 6. Let g(m) = -f(m) - 5*q(m). Let s be g(0). Solve -7 = n + 2*c, 3*c - 2*c + s = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, y: 5}. Give prob of sequence yyt.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312411800 rounded to the nearest one million?\nAnswer: 4312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) -356 (c) -6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16128\/(-54))\/28 + 6.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15671, 15652, 15631, 15608, 15583, 15556?\nAnswer: 15527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4828 + 17 - (-3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 5:07 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*-8.3\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(980)*2*6)\/((sqrt(1024)*-2)\/((sqrt(24) + 1*sqrt(24))\/sqrt(6))))**2.\nAnswer: 2205\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.0696 (b) -21 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and 113\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4610643176 divided by 4\nAnswer: 1152660794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/4 + -8. Suppose 0 = -o + 2*o - 2. Let i = 4 - o. What is the nearest to -0.1 in -4, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 106. Suppose -5*f = -5, 0 = k - 3*f + 5 + 1. Calculate the remainder when 5 is divided by (3 - 6\/k) + y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38008 less than 37988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3549547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*i - 28, 5*p + 24 - 4 = 0. Let q = i - 5. Is (0 + q\/3)*21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let k be (-2)\/(-1) + (-1 - v). Does 12 divide k*(-2 - 6) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1851 + -0.18513204. What is y rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 32, 86, 180, 326, 536, 822?\n\"Answer: 2*g**3 + 2*g**2 + 6*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/6*((-546)\/(-13))\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.562 less than 113502583?\nAnswer: 113502671.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - -0.7. Let t = g + -3. Which is the nearest to 1? (a) 1\/6 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34755 and 819?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2782454786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -624, -1088, -1552?\nAnswer: -2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -30. What is the remainder when (-2)\/(-8) - (-417)\/12 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/19, 6, 4, -0.1, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 3. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = 8. Suppose 0 = -q*s - 2*s + 3*r + 56, 5*s - 35 = -5*r. Calculate the smallest common multiple of s and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let s be -1 - (-11*n - -1). Let x be (-5 - (7 + -9)) + -1 + 12. Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.3 + 34. Let y = -2.8 - q. What is the third biggest value in y, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-132)*(-16)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -151291, -151281, -151267, -151249, -151227, -151201?\n\"Answer: 2*m**2 + 4*m - 151297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 6441*q**3 - 7912*q**3 + 3372*q**3 + 2*q + 539*q**3)*(3*q - 3*q + q).\nAnswer: -10442*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 126530*q - 4002460225 = 0. What is q?\nAnswer: 63265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 4*u**3 - 7 + 67 - 19 + 106.\nAnswer: -4*u**3 + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4, s: 3, d: 13}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14526*l**2 + 52*l + 152549 - 52*l - 152549. Let v(f) = 2*f. Determine v(j(c)).\nAnswer: -29052*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 971080293 to the power of 1\/2, to the nearest integer?\nAnswer: 31162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2099*s - 2172*s - 29 + 175 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4956, 4, -2, 2.\nAnswer: -4956, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 40*t + 210. Calculate o(13).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/2*24\/54. Find t such that -l*t + 0 + 2\/3*t**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j**2. Let p(l) be the second derivative of -37*l**4\/6 - 914*l. Give p(y(r)).\nAnswer: -18944*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*v**2 - 50*v**2 + 112*v**2 + 114*v**2 + 365 - 366 - 24*v**2.\nAnswer: 238*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133028499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k + 4. Let c be a(-7). Let z = c + 43. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10870568.\nAnswer: 2, 1358821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = -10. Let r(x) be the third derivative of 0*x + 2 + 1\/20*x**5 + 1\/4*x**4 + 2\/3*x**3 - 13*x**2 - 1\/120*x**6. What is r(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*s = 2*s - 18, 3*v + 4*s = 26. Let l be ((-12)\/(-30))\/((-1)\/v). Let u be l\/(-14) - 132\/(-28). Solve 2*x + 3 = 2*r - 7, -5*r = -u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 25*x**2 - 6*x + 6. Let t(l) = -76*l**2 + 17*l - 17. Let d be 2*1110\/(-132) - (-14)\/(-77). Give d*f(k) - 6*t(k).\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, -133, -951, -2097, -3571, -5373?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + y - 6, 8 = 4*a - 3*y - y. Suppose 2*w = -a*c + 212, 4*w + 48 = c - 14. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**6\/x))\/x**(2\/7))\/(x**3*x**(-4\/7)) assuming x is positive.\nAnswer: x**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -107, 52960, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x + 4. Let w be r(5). Let i be (-18)\/((-16)\/(-1062)*w\/(-12)). Suppose 5*f - i = -l, -l = -f - 2*f + 959. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -22*x - 196. Let f be w(-9). Let c(i) = 2*i + i - 7*i**2 - 5*i + 1. Determine c(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:08 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17 = u, -2 = -4*z - 0*z - 5*u. Let h = z + -2. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -24 + 3 - (0 - (-1 - 72)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 + q - 1. Calculate the remainder when i(4) is divided by -3 - -4 - -2 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 54 - 65)*(-3*b + 3*b + 3*b)*(0 + 3 - 2).\nAnswer: -351*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*g - 83, g - 5*v - 4 = -10*v. Let o = -15 + 33. Let k be 58\/18 - 4\/o. Solve k*w - 5*l + g = -0*l, 5*w - 3*l = -21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1738d (base 15) to base 4.\nAnswer: 102110302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*u - 30, 6 = m + 3*u - 11. Suppose -h + 12 = m*a, -15*a - 5*h - 18 = -16*a. Solve -3*s - q + 9 = 0, a*q = -4*s - 11 + 28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10*h + 152886 = -6*h, 4*h + 12 = 0. Is o\/14 - (-12)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -129. Let i = p - -75.2. Round i to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327646 is divided by 39044.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttetttttte. Give prob of sequence et.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6036, 6160, 6292, 6438, 6604, 6796, 7020?\nAnswer: 7282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*(sqrt(117) - (0 + sqrt(117)*-2) - ((sqrt(117) + 0)*-6 + sqrt(117))))**2*-5.\nAnswer: -8424000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 71*p + 126 = 49*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -2*n. Suppose d - 2*r + n - 1 = 0, -3*d + r = 0. Let b(v) = 7*v**3 + v**2 - 1. Does 3 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96541875.06 to the nearest 100000.\nAnswer: -96500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.54? (a) 2 (b) -161 (c) 43 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.275407 - 21.2754. Let c = -14 - l. What is c rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5150151405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 3, b: 7, d: 7}. Give prob of picking 2 b.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.07, -126178, 63 in decreasing order.\nAnswer: 63, 0.07, -2, -126178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/7)\/(1\/(-14)). Let y be 9\/(-6) + 2\/h. What are the prime factors of (-1)\/(-2)*(y - -87)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15469358101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3254 = -6*l, -2*l + 75*s = 79*s - 1066. Calculate the greatest common divisor of 225 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.82 - 0.72. Sort 1\/11, g, 3, -2 in increasing order.\nAnswer: -2, 1\/11, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - d - 39 = 11*s, 63 = 4*s - 5*d. Let x be ((-1)\/2)\/(1\/(-16)). Let j = x - s. Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3325)\/(-40) - (-11522)\/13168\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 + 89*k - 166. Let h be q(2). Let c(m) be the third derivative of 0*m + 1\/8*m**4 + h - 12*m**2 + 1\/60*m**5 - 1\/2*m**3. Calculate c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 316127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/15)\/3*(636\/88 + -7). Sort -1, b, -0.1 in ascending order.\nAnswer: -1, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/23)\/((h\/(h*((((h**(-1)*h)\/h*h)\/h*h)\/h)\/h))\/h))**8 assuming h is positive.\nAnswer: h**(-200\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163683708 divided by 40920927.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*(j*j**(11\/5)*j)\/j*j)\/j)*j\/j**(-20))**(-16) assuming j is positive.\nAnswer: j**(-1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 578148589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-325)\/(-36))*-4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 6.4?\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + m**3 + 2*m**3 + (2 + 0 - 3)*(-3*m**2 + 3*m**2 - 3*m**3) + (-m**3 - m**3 + m**3)*(-2 + 2 + 1) + m - 3*m**3 - m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0047446 nanometers?\nAnswer: 0.0000047446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**39*(n*n**8*n*n*n*n)\/(n*((((n*n**(2\/7)\/n)\/n)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75295 and 8325?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000146246 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16723921 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -7*q**6\/6 + q**3\/3 + 4. Find the third derivative of u(d) wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/198 - -1\/66. Let i = 0.13 + -5.13. What is the third smallest value in i, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.097 + -0.097. Let r = 0.2 - -0.8. Let h = 1.551 - 0.051. Which is the closest to h? (a) r (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 + 53*d**2 + 67*d + 191. Give x(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5084992750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -47391512 divided by 268\nAnswer: -176834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + 3*q**2 - 3*q + 1. Is j(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {h: 9, z: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (19453\/931 - 21) + (-12)\/171*-201?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.1, -0.08, -1\/4, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620073445?\nAnswer: 5, 23, 859, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**3\/6 + 5*a**2 - 7*a. Let p be l(5). Solve 6*u - 3*u = -p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13*z**2 + 2*z - 1. Let f be a(1). Let v(y) = -16*y - 27. Let u be v(f). Calculate the greatest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x**2 + 21*x. Let y(o) = 3*o**2 + 10*o - 6. Let r(t) = 6*t**2 + 23*t - 15. Let j(c) = 2*r(c) - 5*y(c). What is 21*j(d) + 4*u(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 121\/5 - 1\/5. Let c be 2\/6 - (-5)\/(-15). Suppose -4*u - 4*g + g + f = c, -2*g = -4*u + 4. Solve 0 = 5*d - 2*d - 15, q = -u*d + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 166.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-24)\/l)\/(l**(-24\/5)*l))**(32\/7) assuming l is positive.\nAnswer: l**(-3392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 37*f - 129. Give z(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3618441 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by (-728)\/(-260)*5\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3881 - 324.6881. Let n = l - -324. Which is smaller: n or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33733379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = 297 - 87 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:35 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1342 + 38?\nAnswer: 137a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-1 - 2*d + 1)*(4 - 12 + 29)*(1 + 0 + 5).\nAnswer: -252*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/16 + 176\/384. Which is the third biggest value? (a) -44 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31011509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-1 + -1.\nAnswer: -5*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.091 - 10.991. Let i = n - -11.3. What is the second biggest value in 4\/3, i, 1, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 k, and 1 q when four letters picked without replacement from {h: 2, k: 1, d: 4, q: 3, j: 3, x: 3}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Let z(y) = -y - 1. Let d be z(-8). Let c be (-2)\/7 - (-16)\/d. Solve 0 = 2*x + 3*v + 8, 0 = -5*x - 0*v - c*v + h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17551.\nAnswer: 17551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 76. Calculate w(-20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 169. Let t = -62 - n. Are t and -0.94 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088))**2*5 + (sqrt(1088)*-1*3 - sqrt(1088))**2 + (-6*sqrt(68)\/sqrt(4) - (-4 + (((sqrt(153) - sqrt(17)) + sqrt(17))**2 - sqrt(17)))).\nAnswer: -5*sqrt(17) + 22699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8073210 or 8073199?\nAnswer: 8073210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 less than -425.8?\nAnswer: -497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 11:37 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -732526 or -732525?\nAnswer: -732525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22856*w**3 - 4388316*w**2 + 210633984*w + 331776.\nAnswer: 4*(w - 96)**2*(5714*w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 16*q - 44. Let u = -132 - -137. Let k be h(u). Let v(n) = n**3 + 13*n**2 - 16*n - 30. Let i be v(k). Put 1, 2, i in descending order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let n(f) = 30*f - 25. Let t(u) = -u + 1. Let q be (-4 + (5 - 52\/8)*-1)*-10. Determine q*t(j) + r*n(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92501?\nAnswer: 233, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.48572.\nAnswer: 3.40004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 320932 (b) -2 (c) -4 (d) -1\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**26)*p)**(4\/3) assuming p is positive.\nAnswer: p**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 666*c**3*t**2*v**2 - 24*c**3*t**2 + c**2*v - 4*t**2*v**2 - 51*t**2 + 5*v**2 wrt c.\nAnswer: 3996*t**2*v**2 - 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1513 = 5*y - 3*s, 0 = -y + 2*s - 3*s + 309. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 5, 10, 7, -10, -47, -110?\n\"Answer: -f**3 + 5*f**2 - f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62580?\nAnswer: 2, 3, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -1, 2.\nAnswer: -9, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 8732 - 3*p - 8732.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 greater than 1053\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.5915 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.05, -5.\nAnswer: -24, -5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -5 (b) -2 (c) 5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 744 + 378 - 1122 + 6*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 12412 (b) -1\/8 (c) 3\/4 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12090, 7620, -29994, -117324, -270942, -507420?\n\"Answer: -2762*r**3 + 14864*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:27 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 202. Let u(o) = -o**2 - o - 27. Let i be u(0). Let s = m + i. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3c43 (base 16) in base 11?\nAnswer: -463235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 5*c**2 - 4*c + 6. Calculate h(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42517183 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38\/6 + -7)*(-10)\/350*-7. Which is the second smallest value? (a) -14 (b) w (c) 5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u + 100*u - u**2 + 50.\nAnswer: -u**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/130 and -61\/9235.\nAnswer: 240110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 6*o + 5*o + (3 - 4 - 1)*(-1 + 1 + o) + 3 + 21*o + 7*o - 9*o)*(257 - 294 - 173) to the form g + a*o and give g.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 16. Let b be 138\/33 - a\/22. Suppose 17 = n + b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 15082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**4\/24 + m**3\/6 + 7*m**2. What is q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -1\/105*v**6 + 3*v - 3\/70*v**5 + 0*v**2 - 1\/14*v**4 + 0 - 1\/21*v**3. Factor f(y).\nAnswer: -2*y*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-24))\/(-3 - -2). Let t(c) = -c**3 + c**2 + 3*c - 1 - 6*c + 4*c**2. Let x be t(4). What is the second smallest value in 2\/7, a, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9486828 millennia in centuries?\nAnswer: 9.486828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**3 + 2*z**2 - 4*z + 3. Does 24 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551 is divided by 466.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8b (base 14) to base 2\nAnswer: -1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 94. Let m(j) = -297. Let t(r) = 6*k(r) - 2*m(r). What is t(11)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 633887209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/7 + 1656*t**4\/7 + 56390*t**3\/7 + 377196*t**2\/7 - 1551096*t\/7 + 159408 = 0. Calculate t.\nAnswer: -18, 1, 2, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13938 + -13754. Solve -d = 40*f + 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 6:27 AM?\nAnswer: 242","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 8 = 2*f. Find the second derivative of -f*o + 5*o**3 - 4*o**3 - 2*o**5 - o**3 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/2 + (-1 - 4\/(-2)). Suppose -4*h = -3*o - 19, -h + v*o + 37 = 11. Let g(n) = -6*n**3 + 2*n - 1. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465362 is divided by 6716.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-5))*i**(-2))\/(i**(2\/5)\/i**(-1)) assuming i is positive.\nAnswer: i**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -59, 2 in decreasing order.\nAnswer: 3, 2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 19 = 5*n, 4*d + 15 - 5 = -n. What is the third derivative of 19*x**2 - x**2 + 9*x**n + 16*x**4 + 2*x**4 wrt x?\nAnswer: 432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + 5 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 1, b: 1, h: 2, q: 1, x: 1}. What is prob of sequence uqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10893 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 8 + 5 = -19*u. Solve -2 = u*b + 10, -5*b - 22 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30554?\nAnswer: 2, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*t - 234 = 31, 0 = 5*u + 3*t - 322. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*b = -13 - 2, 0 = -4*v + 4*b. Suppose v*z + 8 - 68 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Suppose -4*d = -7*f + 4*f - 19, f + 18 = 3*d. Solve c*o - 9 - d = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88) + (1*sqrt(132) - sqrt(132))\/sqrt(6) + sqrt(22))\/(2*(-2*2*sqrt(242) + sqrt(242))).\nAnswer: 7*sqrt(11)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -901943.2 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0\/8)\/(7 + -2) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 + (3 - (6 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75815 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212130748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*o, 3*p - 817*o + 820*o - 18 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (2*sqrt(2736) - sqrt(2736)) + sqrt(19))**2 + sqrt(38)\/sqrt(2) + 2 + (5*(sqrt(19) + sqrt(1900) + 1 + sqrt(1900)))**2.\nAnswer: 1051*sqrt(19) + 221377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -239*o - 2155. Let s be d(-9). Which is the third biggest value? (a) s (b) 4\/3 (c) 12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 2. Let m(x) = 163*x. Give g(b) + m(b).\nAnswer: 165*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -27*c + 27. Let p be d(1). Solve 3*r = -p*r - 9, -5*r - 15 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0\/1) + 2. Let z be 36\/5*4*(-330)\/(-16). Let j = -583 + z. Solve 3*c - j = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9056 divided by 2264?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.409 + -0.091. Suppose h = 4*u - 2*u, -5*h = -3*u + 7. What is the third biggest value in u, 0.3, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4583\/7 + -659. Let i = 0.1544 - 0.1544. Let v = 1.7 + -1.8. Which is the closest to s? (a) i (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349 + -193. Suppose 0 = -4*t + t + r. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2714*d**5 - d**2*x**2 - d*x**2 - 1088*d*x - 3*d - 2*x wrt d?\nAnswer: 54280*d**3 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -294, -277, -242, -183, -94, 31?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 22*i + 25*i.\nAnswer: 91*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -23, -38, -59, -86?\n\"Answer: -3*n**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**2 - 1\/3*d**3 - 1\/30*d**6 + 0 + d + 0*d**5 + 0*d**4. Find the second derivative of t(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342289 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111256226*v + 154416215.\nAnswer: -111256226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 118, 258, 454?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - c**2 - 10 - 6 to b + r*c + t*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/(-4) - 1. Let j(c) = -c**3 + 6*c**2 + 18*c - 14. Let k be (-49)\/(-6) - (12 + 142\/(-12)). Let d be j(k). Sort f, d, 0, -11 in descending order.\nAnswer: d, 0, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/24 - -31\/24. Which is the nearest to -1\/4? (a) k (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1776311 = -4*m, 11*m + 4*j - 2220399 = 6*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20653 and 361?\nAnswer: 392407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 61371389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -156*n - 2957. Calculate f(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (1*sqrt(22) + sqrt(22))*2)*6)\/((sqrt(1100) + sqrt(1100) + sqrt(1100) + 2*sqrt(1100) + sqrt(1100))*5).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 16051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108? (a) 8 (b) -0.12 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425692 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602.03 rounded to the nearest 10?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 7*x**2 + 4*x + 7. Let y be r(6). Let k = 1.01 + -1.51. Which is the biggest value? (a) y (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220 * 0.12\nAnswer: 146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17897574 to the nearest integer?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 25*m + 6. Let r(l) = l. Determine r(z(u)).\nAnswer: 25*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1 (c) 0.6 (d) -1528\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144 - 144 + 16*q)*(5*q**3 + 0*q**3 - 2*q**3) + 1504 - 39*q**4 - 1504.\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 - 5548*j**3 - 27812*j**2 - 38964*j - 16704 = 0 for j.\nAnswer: -3, -1, 1392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7912, 15822, 23732?\n\"Answer: 7910*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 246 + 1295 = -i, -4*n + 2068 = -4*i. Suppose n = 3*b + 515. Is -2\/1117 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**7\/5460 + s**6\/780 + s**5\/195 - 2*s**3\/3 - 22*s - 132. Let f(j) be the third derivative of c(j). Let f(n) = 0. What is n?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(15036\/(-1790))*(1 + 108\/(-80)).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 14 + 16 + 16 + 10)*(24*c + 17 - 17) as q*c + y and give q.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*p + 72 = -4*g - 226*p, 0*g = -g + 16*p + 49 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 115 - 4 + 0 + 3 - 5 + (-2 - 2 + 5)*(3 - 6 + 2) - 2 + 1 + 2)*(-4*z + 5*z - 2*z + z - z - z + (z + 5 - 5)*(-2 + 1 - 1)).\nAnswer: -200*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + 3*c - 3*c)*(c - 3*c + 3*c)*(4 - 4 - 5)*(-156 + 337 + 359) as a*c + m*c**2 + u*c**3 + k and give u.\nAnswer: 5400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/400 + (-1 - (-267)\/270)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623810.\nAnswer: 2, 5, 11, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209990269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137790 and 91860.\nAnswer: 275580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 + 3. Let t = 9\/22 + -10\/11. What is the nearest to i in -0.1, t, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4392482 is divided by 4392464?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1101011101111111001111100111?\nAnswer: -1101011101111111001111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 18781, 6\/19, -5, -14?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k + 556. Let i = k - -65. What is the common denominator of i\/4 - (1 + -4) and 53\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 70*l - 20. Let a be k(-7). Let c = a + 2029\/4. Let v = -3 - c. Put 2, v, 0.2 in ascending order.\nAnswer: v, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z - 4. Let h = -37 + 29. Is 22 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q - 1086. Calculate l(-8).\nAnswer: -1214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-2*l**2 - 2*l**4 + 2*l**2) + 3*l + 3*l - l**4 - 3*l)*(-5 + 1 + 1 + (4 + 0 - 6)*(5 - 3 - 1)).\nAnswer: 25*l**4 - 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30029 is divided by 286.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o + 7*o + 6*o. Let g(b) = 3*b**3 - b**2 - b**2 - 6*b**3 - 3*b. Let l(d) = -g(d) - 3*r(d). What is the third derivative of l(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by (-376 + 377)*5*27.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 6*k**2 - 6*k + 4*k - 2*k to the form r*k**2 + s*k + z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-40 - -23))*(-1)\/31 + 2\/(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k. Let r(j) = -j + 19. Let l be r(k). Suppose -3*d + 55 = l. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5084577840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*i + 55*i + 57*i - 172*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2950 = 3*v, 14*v - 15*v + 960 = -4*b. Is 49 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkitikvvevei. Give prob of sequence kvx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y - 4626 + 12055. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -46, 1 in increasing order.\nAnswer: -46, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 a when four letters picked without replacement from {v: 4, a: 2, y: 1, w: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2922434 and 576907.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2062\/(-1))\/(42\/(-63)). Suppose 3*z + 4*d + 322 - u = 0, -z = 5*d - 942. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407832 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 6*s + 65. Let p(r) = -12*r**2 - 13*r - 125. Calculate 13*b(z) + 6*p(z).\nAnswer: 6*z**2 + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*v + 12, -4*p - 2*v = -5*v - 12. Suppose 2*d - 4*d + 120 = p. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:22 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19316828, 19316826, 19316824, 19316822, 19316820, 19316818?\n\"Answer: -2*m + 19316830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 840619155*m**4 - 175508939 wrt m.\nAnswer: 3362476620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 - 44*h + 156. Let x be k(9). Which is the nearest to -1\/3? (a) -0.1 (b) 3\/4 (c) -2\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/8 - 738*q**4 - 3*q**3\/4 + 4427*q**2 + 47229*q\/8 + 2214 = 0. What is q?\nAnswer: -1, 3, 5904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 37*f - 41. What is k(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23442.\nAnswer: 2, 3, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(143)*-5 - sqrt(143)) + (sqrt(143) - (-2*sqrt(143) + sqrt(143) + sqrt(143) - sqrt(143))*3))\/((sqrt(110)*2)\/sqrt(10)*-6))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddqoquqdouoodoquuo. Give prob of sequence udu.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*d - 21, 4*d - d = -6. Let i(o) = z*o**3 + 1067*o - 2*o**3 + 3*o**2 - 1066*o. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(108)*-2 - (sqrt(21)*1)\/sqrt(7)) - 1*(4 + sqrt(432) + 5*sqrt(432)))*6.\nAnswer: -510*sqrt(3) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 - 6*c**2 + 6*c**2 + (0*c + 2*c - 3*c)*(-2*c**4 - c**4 + c**4).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-x**3 + 0*x**3 - x**3) - 2*x**3 - x**3 + 2*x**3 + (0 - 3 + 1)*(2*x**3 + 2*x**3 - 6*x**3).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 4585*j**2\/4 + 1560078*j - 534727413.\nAnswer: (j - 2034)**2*(j - 517)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p**(4\/7))\/(p*p**0)**30 assuming p is positive.\nAnswer: p**(-192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meu when three letters picked without replacement from {e: 4, m: 6, i: 2, u: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -418, -910, -1402?\n\"Answer: -492*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 975257237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g. Let j(d) = -d**3 + 9*d**2 - 4*d + 7. Let a be j(9). Let u = a - -47. Let h(c) = -u + c + 0*c + 18. What is p(h(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c7 (base 13) in base 10?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:27 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 633*f - 5066. Let d be l(8). Which is bigger: 17121 or d?\nAnswer: 17121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38586 = -5*f + 104794. Is 107 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b - 11. Let d(u) be the first derivative of -5*u**2\/2 - 6*u + 1. Let h be (-12)\/(-9)*108\/(-48). Calculate h*z(n) + 5*d(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*a + 43*a - 9*a)*(-a**2 - 3*a**2 - 2*a**2) + 2*a**3 - 1 + 1.\nAnswer: -496*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 4*v. Let z(s) = -s**2 + 4*s - 3. Let q(p) = p**2 - 3*p + 2. Let g(t) = -3*q(t) - 2*z(t). What is -4*g(m) + u(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9, o: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1499 + 4105. What are the prime factors of g?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -22*j + 950. Give s(43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26397384*o**3 + 78*o**2 - 2502*o + 3.\nAnswer: 158384304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22897*s + 200*s - 13310*s.\nAnswer: -36007*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 71 - (-9 + (3 - 5) + 7 - 7).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r + 4*w - 10, 0 = -5*r + 5*w - 10. Solve 0 = -k - r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 + -491?\nAnswer: -4e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 2*p**3 + 2*p**3 + (-p + 1 - 1)*(4*p**2 - 5*p**2 + 5*p**2) + 2*p**3 - 4*p**3 + 3*p**3)*(-4 - 4*p + p + p)*(-5*p - 12*p - 21*p).\nAnswer: -152*p**5 - 304*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.241, 2\/9, -46, 61\/39?\nAnswer: 0.241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*n, 4*n = 174*s - 175*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 533 + 67*b**2 - 2*b - 533 + (-7*b - 13*b + 3*b)*(0*b - b - b) as r*b + u*b**2 + o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 200\/56 - (-6)\/14. Suppose b*o = k - 12, -o + 5 - 3 = k. Suppose -4*y + 1763 = 3*w - 2*y, k*y = -2*w + 1178. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -372 (base 15) to base 11.\nAnswer: -651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 10*c - 6. Let o be f(-3). Let v = 0.8 + 0.2. Let q = v + -0.9. What is the third smallest value in o, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.429822 millennia in centuries?\nAnswer: 64.29822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37261, -149109, -335523, -596503, -932049?\nAnswer: -1342161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*3*(-4*(-1 + -2 + sqrt(720)))**2.\nAnswer: -174960 + 17280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2 - 1\/4*s**4 - 1\/2*s**2 + 5\/3*s**3 - s. What is the units digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1833*r + 5518. Calculate k(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.07 - 0.13. Let q = c + 0.2. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.3 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 103109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302, -2, -1.8.\nAnswer: -302, -2, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058\/121 != 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 0 + (386 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(66) - (sqrt(66) + 2*sqrt(66))) + (2*1*sqrt(66) - sqrt(66)))\/(sqrt(72)\/(sqrt(108)\/sqrt(144))))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - l - 2. Suppose -4*s - s = 0. Let b be g(s). Let m(q) = -11*q + 1. Let f(u) = 29*u - 4. Let x(z) = -3*f(z) - 8*m(z). Calculate x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.8? (a) -1\/3 (b) -2 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(3 - (-77)\/(-28)). Suppose -638 = -t*a + 82. Calculate the remainder when 263 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2667919.2 to the nearest 1000.\nAnswer: 2668000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-96)\/(-10) - (36\/20)\/3. Is 25 a factor of a\/(-2)*-202*6\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47465 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -18. Let f be ((-12)\/b)\/((-2)\/(-5)) + -8. Let d be (3 - 1)\/(-2) - f*4. Solve 4*v + d - 7 = 3*u, 5*v - 7 = -3*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 + 4. Let p be m*((-104)\/12 - 0). Suppose -4*b - 5*j + p = -3*j, j - 29 = -4*b. Solve 0*c + 4*k = -2*c - b, -2*c = -5*k - 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -5*r + 10*f + 421, 0 = -f - 1. What is the greatest common divisor of r and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20.41, 2\/7, -4 in descending order.\nAnswer: 2\/7, -4, -20.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 131 - 627 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/2 + c - 181. Let g(p) = -2*p - 3. Calculate v(g(y)).\nAnswer: -6*y - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 237, 256, 293, 354, 445, 572, 741?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*m - 1, 870*m = 866*m + 2*k + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 134694*d**2 - 2*d + 8. Suppose -7*c = -3*c. Suppose -2*n + 50 = 5*x + 11, c = -n - x + 12. Let r be q(n). What is r rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2455*f - 2368*f - 3132 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1105502.\nAnswer: 110550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 minutes after 1:30 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1db?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 7, 25, 51, 85?\n\"Answer: 4*g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Suppose l + j*b + 15 = 3*l, -3 = 3*b. What is the units digit of (12\/(-5))\/(l\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 4.6. Let w = 1.26 - 1.46. Which is the smallest value? (a) 6 (b) w (c) -2\/13 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 22. Let q be 1\/(-3)*t\/(-10). Let y = -12 + 7. What is the closest to q in 2\/13, y, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99146221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*g**4\/3 + 18775*g**3\/3 - 15080*g**2\/3 + 3020*g\/3.\nAnswer: 5*g*(g + 151)*(5*g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1044750211021+-471\nAnswer: -1044750211492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -21, 6, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/2)\/(9\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + 6 - 0 - (104 + -99))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-4))\/l*l)\/l*l)\/(l\/((l*l*l**(-3\/5)\/l*l)\/l))*((l**(2\/3)\/l)\/l*l)\/l**3)\/((l**(-1)*l*(l*l**(-4))\/l)\/(l\/l**0)**(-11)) assuming l is positive.\nAnswer: l**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 102 = 2*d, -5*d + 3*b - 49 = -4*d. Let v = d + 58. Is 12 a factor of (6\/v)\/(-3 - 111\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*p**5 - 225 + 227 + 24*p**5 + (4*p + 3 - 3)*(-p**2 + p**2 - 2*p**4) + 10*p**5 + 2*p**5 - p**5.\nAnswer: 56*p**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -55.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*q*t**3 - 2316*a*q*t**2 - 2*a*t**3 + 1132385*a*t**2 - 3421*q wrt q?\nAnswer: 2*a*t**3 - 2316*a*t**2 - 3421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 882460022 to the power of 1\/3, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 966.7478 kilometers?\nAnswer: 966747.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69568663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1116118 != -1116118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-112)\/2)*-3. Let c = a + -3\/4. What is the common denominator of -57\/56 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6603*i**2*q**2*u**2 - 10*i**2*q - i**2*u - 2*i*q**3*u**2 - 3*i*q**3 - 5*q*u wrt u.\nAnswer: -13206*i**2*q**2 - 4*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 3*z**2 - 208*z - 425. Determine x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 172, 698, 1580, 2818, 4412, 6362?\n\"Answer: 178*v**2 - 8*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(77)\/(sqrt(7)*1) - (sqrt(22) - (sqrt(22) + sqrt(22)*2))\/sqrt(2)) + ((sqrt(99)*-6 - sqrt(11)) + -2)**2.\nAnswer: 80*sqrt(11) + 3975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = -0*b. Let l be (-70)\/b + (-2)\/3. Solve -1 = 2*g - l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 1\/4*s**4 - s + 5\/6*s**3 + 49*s**2 + 0. Let z(l) = 7*l. Determine v(z(n)).\nAnswer: 42*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 27*x + 1. Let p(y) = -11*y. Give p(l(w)).\nAnswer: -297*w - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668292 divided by -3.\nAnswer: 222764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20549 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*i - m, -3*i + 3*m - 3 + 0 = 0. Let t be 4 - i - 3 - -3. Suppose 0 = t*q - 293 - 496. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2687 - -2691. Solve 0 = -r*a + 20, 0 = 2*j - a + 9 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27703, -304 in descending order.\nAnswer: 27703, 4, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*d - 62. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/4*17)\/(-1). Let c = x + 18. Solve l = 2*l - c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39732, 79617, 119502, 159387, 199272?\nAnswer: 239157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -957.2 + 957.5. Which is the nearest to -0.1? (a) 2\/3 (b) 0 (c) -3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-1169)\/(-70) - 6\/4). Let w be (4 - o\/18) + 236\/9. Let i be (-10)\/20 - 573\/(-2). What is the highest common factor of i and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2683803.\nAnswer: 3, 823, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315766968*q**3 + 157883484*q**3 + 157883489*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:38 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 165, 296, 427, 558, 689?\n\"Answer: 131*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, -2527, -19?\nAnswer: -2527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-504)*48\/(-8)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411802.1l to millilitres.\nAnswer: 411802100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 - c. Let u be z(-3). Differentiate 2*h**4 - 2*h**3 + 5*h**3 - 3*h**u - 5 with respect to h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 7. Let g(q) = 2*q + 6. Let r = 3 - -4. Let x(u) = r*g(u) - 6*f(u). Let n(y) = -7*y**2. Give x(n(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.67, 301\/12, 323 in decreasing order.\nAnswer: 323, 301\/12, 1.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3342 - 16*g**3 - 2*g - 14*g**3 + 69*g**3 - 18*g**3 - 22*g**3.\nAnswer: -g**3 - 2*g + 3342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/45576 and -1\/57.\nAnswer: 865944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 1. Suppose -2*a = -3 - 3. Let s be -2 - (-6 + a\/3). Is v(s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-1)\/(-4*sqrt(12)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = f - 15, -3*f - f = -3*w - 24. Calculate the remainder when (110\/15)\/(-5*(-6)\/45) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 495 = 105. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3052 - 362?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2723, 5447, 8171, 10895, 13619?\nAnswer: 16343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7434752*n**4 + 4769388*n.\nAnswer: -89217024*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1046477 - -7?\nAnswer: -1046470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-8))\/(224785\/49044)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10 - (-91)\/(-70)) + (-6)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4237*f + 5204?\nAnswer: -4237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074700 rounded to the nearest 10000?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)*-2 - -1. Let k be ((-51)\/12)\/(h\/(-4)). Let g = -8 - k. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 948 = -4*s + 2*o, 962 = -4*s - 0*o - 5*o. Let p = s - -408. Let b = p - 114. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**5\/40 + 5*j**4\/32 + j**3\/8 - 17*j**2\/16 + 5*j\/4 + 135. Determine h so that v(h) = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -j + 685, 3*j - 58*a = -61*a + 2049. Is 38 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116422508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*4\/(-16))\/((-6)\/(-24)). Solve n*p = -10, -4*p - 20 = -3*m - 0*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3 - 4. Let p be 0 - (d + 2 + -2). Let c be -4 + 1 + (-3 - -4). Is p smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*q - 173*q + 351*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 626749.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2633 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6561*w**3 - 324*w**2 - 4*w.\nAnswer: -w*(81*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let s(f) = 2*f - 4. Suppose -3 - 1 = -2*p. Let h = 14 + -13. What is h*s(z) + p*j(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6, -3*m - 10 = 2*g - 215. What is the remainder when g is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.93 - -16. Let i = 0.68 + l. What is i rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ef - -1d7f?\nAnswer: 1f6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:43 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:40 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2. Let j(d) = -32*d**2. Determine w(j(u)).\nAnswer: -3072*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-5)*o**4\/o*o*(o*o**(-1)*o)**(-20)*(o**(8\/7)\/((o\/((o\/o**(-10\/9))\/o))\/o))**(-4\/25) assuming o is positive.\nAnswer: o**(-32068\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3, 5, 0, 45\/34, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6841*j - 5554*j + 123950 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6 - 0.6. Let y = -3.7 + i. Let r = 5 + -8. Which is the nearest to -1? (a) r (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + 1. Suppose -a = -5*a - 16. Let z(o) = -3*o - 1. Determine a*v(i) - 5*z(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -937, -826, -651, -412, -109, 258?\n\"Answer: 32*z**2 + 15*z - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-9)\/6 - -1). Let l be b - (-14)\/2 - 3. Let c(k) = -2*k**2 - 11*k + 4*k - 4*k**2 + 12*k**2. Let g(i) = 5*i**2 - 6*i. Give l*g(n) - 3*c(n).\nAnswer: 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -65380 rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 77 = 2*f + 5*g, g = -3*f - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003492 to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962943.5km to micrometers.\nAnswer: 962943500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-11) - (-18)\/(-99)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-2\/5)*o)**6\/(o**3\/o**2)*(((o**(-7)\/o)\/o)\/o**(-1\/2))**(19\/5) assuming o is positive.\nAnswer: o**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.72 times -8\nAnswer: 13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(130)*1)\/(sqrt(10) - (1*sqrt(90) - sqrt(90))\/sqrt(9)))**2 - 1*sqrt(52)*4*5) + -4 + -5.\nAnswer: -40*sqrt(13) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -91*h - 711. Let u be p(-8). Solve 20 = 11*n - 6*n - 3*q, 0 = 3*n + 4*q + u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/738 + (-16883860)\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 5. Let d(f) be the first derivative of f**2 - 4*f + 549. Determine 5*d(v) - 4*g(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2029 * 24.\nAnswer: -4.8696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10*200\/16. Suppose 0 = -6*x + x + t. Suppose -1\/3*q**4 + 2\/3*q**3 + 0 - 1\/3*q**x + 0*q = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 3*q**2 + 3*q + 6. Suppose 3*v + 8 = -0*v - 4*d, -5*d + 21 = -4*v. Let m be j(v). Differentiate -3*u - m + 8*u + 10*u**2 - 5*u wrt u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)\/(z\/z**(-21)))\/(z**27*z**19) assuming z is positive.\nAnswer: z**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhu. What is prob of picking 2 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by 1.\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5754 times 72.7\nAnswer: 418315.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210003040 (base 5) in base 10?\nAnswer: 2812895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5938845 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39879 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (16 - (-1 - -6)) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171.3 + 171. What is the second smallest value in 21, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 + 6*i + 1. Let p = 120 + -118. Let t(a) = 55*a + 15. Calculate the remainder when t(p) is divided by g(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 200010?\nAnswer: -122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let y(p) = p + 3 + 2 + 1. Let f = -957 + 944. Let w(g) = 2*g + 13. Let a(l) = f*y(l) + 6*w(l). What is x(a(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2486 in 0.4, -2\/3, -4, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328292317*j**2 + 1889*j + 135180 wrt j?\nAnswer: -656584634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t - 15*t + (5*t - 4*t + 0*t)*(3 + 1 - 3))*(0 + 2 + 1).\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723345.\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 6. Let z be h(8). Let r(t) = -3*t**z - t**2 - t**2. Let j(k) = -2*k - 4*k + 8*k. Calculate j(r(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 - 18*l**3 + 153*l**2 - 9895*l wrt l.\nAnswer: -24*l**2 - 108*l + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllmmlll. What is prob of sequence lmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/3 (c) 3 (d) 1 (e) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264*i**3 - 2756*i**3 + 4179*i - 2218*i**3 - 4179*i.\nAnswer: -3710*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 3. What is the smallest common multiple of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - ((3 + sqrt(931) - sqrt(931) - sqrt(931) - sqrt(931)) + -3)) + sqrt(931) + (sqrt(931) - 2*sqrt(931))*5 + sqrt(931))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j*j**1))\/j))\/(j**2*j))**(-32) assuming j is positive.\nAnswer: j**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let v(k) = 0*k - 6*k + q*k + 2*k. Let f(m) = 2*m**2. Calculate f(v(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -16*d - 7*d + 414 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1475?\nAnswer: 1\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23995859.29730105801 + -378.29730985801. Let b = 23995457 - q. Let v = -24 - b. What is v rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 + 7*f**3\/3 - f**2 - 5*f + 5. What is v(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15457 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7193.111 millennia in centuries?\nAnswer: 71931.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/20)\/(60\/(-100)))\/(57\/4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k - 4. Let c be o(1). Suppose -126 = -5*a + c*w + 54, -2*w = a - 24. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*n - 2*n = 0. Let x(q) = q**2 - 21*q + 96. Let w be x(7). Sort n, w, 11 in descending order.\nAnswer: 11, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - g)*(30 + 13 - 7) + 0*g + g + 2*g.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:16 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/((b*b**2)\/b*b)*b)*b*b**(2\/5)*b**(-2)\/(b*b*b**(2\/7))*(b**(-2\/5))**(-39)*b**(-1)\/(b\/(b\/((b*b**2)\/b))) assuming b is positive.\nAnswer: b**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/7))**(-16) assuming n is positive.\nAnswer: n**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -77760000 to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30333231300 + -10?\nAnswer: 30333231230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 + -362 + 95 - -113?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c - 1. Let s(a) = 4 + 3*a - 7*a**3 - 13*a**3 + 13*a**3 - 1. Give 3*m(q) + s(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5610930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 61*j**6\/60 - 3*j**3 + 224*j**2. Differentiate t(m) with respect to m.\nAnswer: 366*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1320 + -2320. Let z = -1\/213891 - 1072877251\/1069455. Let p = z - k. What is the common denominator of -22\/7 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-24)\/9*3\/(-2). Let d be 3\/(45\/(-2)) + (-546)\/1170. Let y = 7 + -7.06. What is the smallest value in a, d, y, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9544.835448 rounded to the nearest integer?\nAnswer: -9545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = q + 1320. Suppose -t = 2*t - s - q, 0 = 4*t + 4*s - 272. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 50*y**2 - 6*y - 7. Let g be n(-2). Let t = g + -179. What is the remainder when 79 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21914 - c6?\nAnswer: -219da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11852*f**3 - 17*f**2 - 2013387*f wrt f?\nAnswer: -71112*f - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3127, 0.1, 3, -63, 2\/7 in ascending order.\nAnswer: -63, 0.1, 2\/7, 3, 3127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2353408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) -0.4 (c) 2 (d) -106\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 412 in increasing order.\nAnswer: -4, -3, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*o - 410 = -386, -40 = 5*s - 2*o for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:32 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(156)\/(sqrt(12)*2) - sqrt(143)\/(sqrt(11)*2 - sqrt(11))) + -6*(((0 + sqrt(13))*-5 - sqrt(13) - sqrt(13)) + (2*(sqrt(13) + 1))**2).\nAnswer: -333 - 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 4, p: 10}. Give prob of sequence pp.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*u**3 - 11*u**3 + 8*u - 324*u + 35*u**2 - 30*u**2.\nAnswer: 95*u**3 + 5*u**2 - 316*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 56*f**2\/5 - 406*f\/5 - 352\/5.\nAnswer: -2*(f + 1)*(f + 11)*(f + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 1059, 1587?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 615 and 738?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-1 + (5 - 3)). Is (-774)\/4*2\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28017926161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**8\/56 + c**7\/210 + 7*c**5\/60 + 5*c**4\/24 - 2*c**2 - 3*c. Find the third derivative of o(g) wrt g.\nAnswer: 360*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 + 27*k**2 + 34*k - 46*k**2 + 302.\nAnswer: k**2 + 34*k + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122160560 (base 7) in base 2?\nAnswer: 11101010010101011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7672 take away 63.3?\nAnswer: -7735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/51 (b) -0.06 (c) -11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let p = -158 + 169. Suppose -p*h + 12*h - 4 = 0. Which is the third smallest value? (a) h (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**4*p - 8957701*o**3*p + o**3 + 4*o**2*p + o**2 - o*p + 875*o - 3*p - 30 wrt o?\nAnswer: 192*o*p - 53746206*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 943310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52080 and 672?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*h**3 + 104*h**3 + 464*h**3 + 2*h - h - 5*h**3 + 2*h**3 + (-1 + h + 1)*(1 + h**2 - 1) to the form q*h + x*h**3 + z*h**2 + a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129188 >= 129189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6955 + -3774. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3068 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 248.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 66*b - 656. What is m(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 0*o**3 + 2*o**3 + (1 - 4*o**2 - 1)*(-4 + 4 - 2*o) + 20*o**3 - 11*o**3 + 2*o**3.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1704, -5 in descending order.\nAnswer: 1704, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -282, -582, -1002, -1542, -2202, -2982?\n\"Answer: -60*t**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + o. Let z(a) = a - 7. Let f be z(6). Let u be l(f). Let s = u - 2. Put 4, 5, s in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.6 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1445 or -1911\/116?\nAnswer: 1445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2. Let q(l) = -6*l**2 + 4*l**2 + l**2. Let a(x) be the first derivative of -x**3\/3 + 7. Let v(j) = -5*a(j) + 4*q(j). Determine v(m(y)).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95*m**4 + 8*m**3 + 8480*m**2 + 955826876 wrt m?\nAnswer: -380*m**3 + 24*m**2 + 16960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*m + 0*m + 248321 = 0, -3*b = m - 744974. Suppose 261275 = 13*h - b. Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/17 - 1286*u**4\/17 - 44568*u**3\/17 - 527904*u**2\/17 - 2097792*u\/17 = 0.\nAnswer: -607, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**2 - 73*a**2 + 38*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + b + 1. Let n(k) = k**2. Let c(w) = -5*w**2 + 1. Let s(t) = -c(t) - 3*n(t). Let r(p) = -2*s(p) - x(p). Let m = 1 + -3. Determine r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acwcvwcvcvcvcvcwcc. What is prob of picking 2 w, 1 c, and 1 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-5)\/(-3))\/(70\/42). Let x(f) = 6*f - 6. Let t be x(-7). Let z be 3\/5 - (o - t\/(-20)). Solve -5*p - 34 = 3*u, -u = -3*u - z*p - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 213680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.144 * 22.\nAnswer: -47.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - (-5 - 24)) + (4 - 0) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(66) - sqrt(66)))\/sqrt(6).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244508643.\nAnswer: 3, 27167627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 12.3. Let d = -11.02 + m. Let w = d - -0.62. Which is the third biggest value? (a) -1 (b) 3\/8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.16573 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + -3 + 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*y**2 - 114*y**2 - 117*y**2 - 123*y**2 - 115*y**2 - 3*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1113 + -30411303?\nAnswer: -30412420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -65. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:17 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - f**3 - 9*f**3 - 7*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -8. Is x less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 9:52 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -12 - (5 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 55 - 32*n + (-6*n - 4 + 4)*(-1 + 4 - 5) to b*n + r and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 335421502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 13 - 6 + 6 - 1 - 16*g**2. Calculate u(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/2, -24, 131\/5, 0.046, -0.5?\nAnswer: 131\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5))**(-21) assuming n is positive.\nAnswer: n**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12720531 divided by -4240177.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/12*-3*-4. Let p be l\/4*-13*14. What is the units digit of p\/5 - (-3)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 326709\nAnswer: 2\/326709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 + -57. Let k = l - 36. Suppose 2*i + 3*w - 20 = 0, 5*i - 22 = 2*w + k. Calculate the greatest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i + 3. Suppose -3*d + 2 = -2*d. Suppose 4*o - 5*o = -20. Suppose -p = 4*x + 14 - 2, -4*p - o = d*x. What is f(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 764, 1148, 1532, 1916?\nAnswer: 2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ab47c (base 13) in base 5?\nAnswer: 34414211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 - 14.76. Let u = h - -14.6. Let r = 3\/52 + -4\/13. Which is the biggest value? (a) u (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxxxsxxsxxxxxxxxx. What is prob of picking 2 s and 1 x?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*m + 20, 0 = 2*m - 4*m - 8. Suppose 3*s - 10 = -x*s. What is the tens digit of 3199\/49 + s\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 8, -2, 2\/9, 305?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 22. Let i be j(-12). Suppose -2*g + 204 = -0*k + 4*k, -10 = -i*k. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let y(v) = 4*v**2 + 6*v - 6. Let b be 0 - (-2*3)\/(-1). Let r = 0 + 1. Let i(o) = o**2 + o - 1. Let a(k) = b*i(k) + r*y(k). Calculate u(a(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4827 and 17858291.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.5. Let f = -48\/5 - -321\/35. Which is the nearest to 1\/7? (a) f (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186109854 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*o - 0*o - 747. Suppose -y + 6*y = -170. Let z be (2 - (2 + y)) + 2. Calculate the greatest common divisor of o and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 2. Let v be o(-1). Suppose 3*n = 0, -w + 2*n = v*n - 108. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18957342 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674874536.\nAnswer: 2, 7, 787, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*z - 324 = 535*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Suppose -2*m + x*m + 8 = 0. Is 163\/2 - (-1)\/m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1473 - -1569 - (-5 + 148).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.01, 2\/17, -637, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.05 + -0.05. Let h = 0.3 + 0.7. Let f = -486483\/8 - -60810. What is the closest to h in w, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*1 + -2.\nAnswer: -2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180020725 by 4865425.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 287829757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/28)\/(42\/98). What is the smallest value in g, -2\/9, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 = 3*v - 10, 5*r - 2*v = 21. Let n = -12 + r. Let a = n - -10. Solve -a*j - 25 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.4. Let j = -183.3 - -183.2. Which is the nearest to j? (a) 5 (b) q (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0971 rounded to three dps?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 2*c = 36, j - 2*c = -5 + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 20*s**3 + 26*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141*1477.156.\nAnswer: 208278.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 102*w + 987. Calculate h(9).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265 - 272.1. Let i = v + 8.1. What is the third biggest value in i, 0.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16287 + 244303\/15. Which is the fourth smallest value? (a) -0.1 (b) g (c) 22\/125 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -88, -97, -124, -175, -256, -373, -532?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 2:02 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(50) + (sqrt(6)*1)\/sqrt(3) + (sqrt(154)\/sqrt(7))\/sqrt(11) + 0 + sqrt(200))*2)**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/11 - 44*s**3 - 39360*s**2\/11 - 1100800*s\/11 - 2048000\/11.\nAnswer: -2*(s + 2)*(s + 80)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 5*x + 6. Let o be y(-6). Suppose -f = -3*s - 24, s + 4*f + 1731 - 1710 = 0. What is the third smallest value in s, -4, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 4319.2.\nAnswer: 4319.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 119886590 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -173. Let q = r + 125. Solve 0 = -2*n + 6, 2*n = -q*a + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*o - 16 = 0, -2*k - 2*k = -4*o - 96. What is the highest common divisor of 221 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-403)\/52 - 1\/8*2. Is -2 - 9722\/s - 9\/36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(-1*sqrt(2)*2) - ((-4 + sqrt(637) + 1)**2 + sqrt(637)).\nAnswer: -646 + 69*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 13.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 2*w**2 - 13*w + 24. Let k be f(4). Suppose 11357 + 22203 = k*o. Round o to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 9. Let r(p) = p - 7. Let g be r(-6). Let z be t(g). Suppose -3*h + 4 = -c, -8*h + 4*h = -2*c - z. What is the least common multiple of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -5)*(-6)\/39. Let v = t - -70\/39. Put v, 0.1, 2 in descending order.\nAnswer: 2, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80427095 divided by -16085419.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*y + 184 = 0. Let i(s) = -3*s + 5. Let z be i(0). Suppose u = z*u - 828. Calculate the highest common divisor of u and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*v - 985, -3*d + v - 2339 = 638. Let u be 8\/28 + d\/21. Let m = u + 77. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 + a + 5. Let o be s(-5). Let j(t) = -5*t**2 + 440 - 85*t + t**2 - 459. Let r be j(-21). Solve r*g - 5*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-8 - (75 + -124). Solve q - 42 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 0.02 (b) -5\/7 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -51 + (1 - -3) + 51?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17463*p + 72 - 72 + 9038*p as w + j*p and give j.\nAnswer: -8425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8604 + 8607. Is 64\/33 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (7 - (5 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 0*i**2 + 10518*i**3 + 3251*i**3 + 2494*i**3.\nAnswer: 16263*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809454 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/9*903\/(-14)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 17, b: 1}. What is prob of picking 1 b and 1 u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 times 4\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/29, 1\/3, -3\/7, 136, -1\/2 in descending order.\nAnswer: 136, 1\/3, 3\/29, -3\/7, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -27735 (base 8) to base 11\nAnswer: -922a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1607*x + 5995*x + 4954*x + 6106*x)*(3 - 4 - 5*x - 1) as n + b*x**2 + t*x and give b.\nAnswer: -93310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {o: 2, c: 1, z: 7, d: 3, i: 4}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7301 - 51205 = 1499*n + 55030 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 1295710.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h**1)**(1\/24)*(h**(-1)*h)**(-4\/7) assuming h is positive.\nAnswer: h**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**5\/120 + 2*b**3\/3 + 4. Let s(r) be the third derivative of t(r). Let v(o) = o. Calculate s(v(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 10 = 66. Suppose 4*v - 90 - o = 0. Let c = 49 - v. What is the remainder when 66 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699252*b**2 - 19*b**3 + 699252*b**2.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1725041 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76476307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334678*i - 334639*i - 234 = 0, 0 = -5*v - 4*i + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3051080 and 46480?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*i + 6*f - 2*f, 3*i - 3*f = 3. Let g = -5 + 5.7. Sort -1\/3, i, g in increasing order.\nAnswer: -1\/3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041571 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/60 + 7*b**4\/24 + 13*b**3\/6 + 20*b**2. Let f = 2426 - 2432. Determine n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -m. Let y be (4 - 4)\/(4\/m). Let g(z) = 5*z + 6. Let a(r) = 6*r + 6. Let j(u) = 4*a(u) - 5*g(u). Calculate j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:12 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 - 135 + 78*i**3 + 67)*(-647 + 647 + 70*i) to the form a*i**3 + s*i**4 + g*i + f + j*i**2 and give s.\nAnswer: 5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*q + 30*q - 6. Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:38 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 38 = 22. Suppose -q + 2*c + 2 = 3*c, 5*c = -m*q + 12. Let r = 7 - q. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/132 and 59\/288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -9*p**6\/80 - 439*p**5\/40 + 49*p**4\/8 - 612*p**2. Factor m(v).\nAnswer: -3*v*(v + 49)*(9*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1957 - -3578. Let o = s + -730. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15 + 593894\/39690)\/(12\/(-14)) and -53\/270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 197 + 59. Suppose -9*q + 4*q = -400. Suppose l*v - q = 28*v. Calculate the remainder when v is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1. Let u be 2 - (-4 - (2 - 5)). Suppose u*h = -0*h + 6. Let w(i) = -h + 5 + i - 3. Calculate -2*b(o) - w(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*z - 158*z - 120 = 0. Solve -j - 4*b = 15, 0*b + b - 12 = z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 278.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -70429*v**2 + 3*v + 24. Let n(c) = 2*c**2. Determine g(n(h)).\nAnswer: -281716*h**4 + 6*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 85 = 4*r, -23 = t - 8*r + 6*r. Let m(y) = y**2 + 16*y + 6. Give m(t).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*o + 1431*o**2 + 54 - 1392*o**2 + 65*o + 112*o.\nAnswer: 3*(o + 9)*(13*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -5.2 (c) 18 (d) 2 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 440, 219, -302, -1129, -2268?\nAnswer: -3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/3*c - 1\/9*c**3 + 3*c**2 + 25\/9.\nAnswer: -(c - 25)*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l - 2*o + 260 - 244, l + 2*o = -27 + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.5 - -47.43. Let r = 0.07 + u. Which is the second smallest value? (a) 1 (b) -2\/21 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 3*r + 16 + 15.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128420377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-3)*18\/14*217\/(-31)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 545 and -245 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xydzkpy. Give prob of sequence pxd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 119. Let a be v + ((-8)\/2)\/(-1). Solve a*g - 5*g - 5 = 5*x, -4*g + 14 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) - (sqrt(147) + 3 + -4) - (sqrt(147) + 3 + -2).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*h + 636 = 246*h. Suppose 0 + 5 = -n. Sort 4, n, h.\nAnswer: n, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -7\/2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2)\/((-12)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i + 12. Let l(o) = o**3 - 12*o**2 - 16*o + 15. Let k be l(13). Let u(y) = -y + 1. Calculate k*u(f) + 2*z(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ech when three letters picked without replacement from {c: 2, e: 1, v: 1, h: 1, a: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680760 and 183.\nAnswer: 680760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2)*(-1)\/(-2). Suppose 5*u - 9 = d. Is 11 a factor of 12 + u\/(2\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 6 (c) -5 (d) -2 (e) 8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159399 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -4) + -5 - (-4 - (-13 - 3 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-6)\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 39680152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1518*j**4 + 9780*j**2 - 2969*j**4 + 3256 + 9772*j + 3268*j**3 + 1455*j**4.\nAnswer: 4*(j + 1)**3*(j + 814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28.81, 2, 62 in decreasing order.\nAnswer: 62, 28.81, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 3496674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5, -2*p - 2276 = -4*d + 2*p. Let c = d + -566. Solve -c*f - 15 = -7*f - 5*x, 5*x = 5*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111000000111111000 (base 2) to base 5\nAnswer: -143113133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 668860*q - 668865.\nAnswer: 5*(q - 1)*(q + 133773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - sqrt(45))\/sqrt(9) + sqrt(5) - 2*(1*sqrt(5))**2.\nAnswer: -10 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i**(-1\/2)\/i)\/(i**42\/i**10) assuming i is positive.\nAnswer: i**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.265+1756\nAnswer: 1757.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18368+6101\nAnswer: -12267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3374 is divided by 3367.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 977*k - 45. Let t(r) = -140*r + 7. Calculate 15*t(a) + 2*u(a).\nAnswer: -146*a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221389215 divided by 51.\nAnswer: -4340965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y + 34. What is the hundreds digit of f(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**8\/56 + b**4\/3 - 4*b - 1. Let s(f) be the first derivative of g(f). What is the third derivative of s(u) wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1, -5 in ascending order.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 - 2*q**2 + 2. Let h be y(1). Solve h = i + 3*d - 2, 5*d = -3*i + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.217 - -0.017. Let g be 2*(-1 - 0)\/(12\/(-102)). Let t be g\/85*5\/2. What is the second smallest value in 3, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*156\/(-299) - ((-162)\/14 - 0)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -187.82 - -171.806. Let x = n - -17.01398. Let g = x + -1. What is g rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*l**2 + 63*l**2 + 32*l**3 - 129*l**2 wrt l.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 1. Let y(h) = -12*h**3 - 15. Determine 15*u(a) + y(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.252 and -1.5355741.\nAnswer: -1.2835741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16230.\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*3)\/(((-55)\/(-15))\/((-891)\/243))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = -2. Let r(z) = z + 3 + 0*z + 1 - c*z. Calculate r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from uffffffffffffc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -363 - 844 - 28*q**2 + 230 - 630 + 23*q**2 + 41*q**4 wrt q?\nAnswer: 164*q**3 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 6*h**2 + 3*h - 5. What is the smallest common multiple of 8 and t(6)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 41995?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-1)*o)\/o))**(-16)*(o**(3\/7)\/o)\/o*o\/o**15)**(-35) assuming o is positive.\nAnswer: o**1665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56787 is divided by 52444?\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**9\/16632 - i**8\/4620 - i**7\/4620 - i**3\/3 - 17*i**2. Let g(z) be the first derivative of q(z). Factor g(t).\nAnswer: -2*t**3*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 greater than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(2\/21)*z**3*z\/(z*z**(-2\/3))*z**(-2\/23)\/z*z assuming z is positive.\nAnswer: z**(2741\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4780 and 4040534?\nAnswer: 40405340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-20))\/(156\/(-208)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23449473643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360204 by -8.\nAnswer: 90051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0761 to 3 decimal places.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-2)\/((-6)\/(-3)). Suppose 15 = z*c - 5. Suppose -8*b + 80 = -3*b. What is the least common multiple of b and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s - 4 = 0. Let y be (s - 0)\/(4\/(-16)). Suppose -y = 6*q - 2*q. Let d(r) = 6*r + 2. Give d(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:09 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 - (-6 + 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 358 or 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16511560 (base 7) to base 8.\nAnswer: -6125167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/6*1366 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from bng.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.178658 months in decades?\nAnswer: 0.05982215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122 and 220473?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 5. Let t be g(-8). Suppose 0*a + t*a = 0. Let q(c) = 9*c**2 + a*c + 2*c - 1 + 4*c**2 - 4*c**2. Calculate q(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + -3*(2*(-2*sqrt(475) + 0) + -4)) + 1)**2.\nAnswer: 5040*sqrt(19) + 274041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 16 = 16. Let c be i + -7 + 18 + -1. Solve 5*m - 2*b + 14 = 0, -4*m - 3*b = -5*b + c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1042 - -14?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*s - 10, -43802*s = -43807*s - 2*j + 65 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1010 and 55462390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -607*y. Let i(b) be the third derivative of -b**4\/24 - 53*b**2 + b. Determine n(i(j)).\nAnswer: 607*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwbbb. What is prob of picking 2 w and 2 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-20)\/24)*57\/494*39\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178 (base 11) to base 9.\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320864 = -15*v + v - 58350. Is v a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Put h, 3\/8, 0.4 in descending order.\nAnswer: 0.4, 3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 510600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (384\/480)\/((-1)\/((-10)\/76))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 4.1. Which is the second smallest value? (a) m (b) -1\/22 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 11. Suppose 0 - s = -3*j. Solve 3*i = 3*k - 6, j*i = -4*k + 2 - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24696 and 104076?\nAnswer: 1457064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -412*r**3 - 19770*r**2 - 237024*r + 3456 = 0.\nAnswer: -24, 3\/206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113.98 - 114. Which is the nearest to 1? (a) j (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/180 - q**5\/120 + q**3\/3 + 3*q**2. Let g(b) be the first derivative of n(b). What is the units digit of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -77, -257, -601, -1163, -1997, -3157?\n\"Answer: -9*m**3 - m**2 - 4*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 8*i**5 - 2*i**5 + (2*i**3 + i**3 - 6*i**3)*(-9*i**2 - 11*i**2 - 15*i**2).\nAnswer: 109*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -0.7, -0.2 in decreasing order.\nAnswer: 81, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 5:34 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 60, 89?\n\"Answer: 29*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16600 and 8600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 1 - 7) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - y = p - 2, -4*y = 3*p - 8. Suppose p = -2*i + 2170 + 1692. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + -4 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**4 + 3908*m**3 + 478240*m**2 + 238144*m.\nAnswer: 4*m*(m + 244)**2*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087944*u + 2087725*u - 26161 + 8203 = 0 for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b4a2 + 2?\nAnswer: -3b4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 11*k - 23. Let h be w(7). Let b = h + 0. Solve 2*p + 10 = -0*p, 2*a - b*p = 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 v, and 1 p when four letters picked without replacement from izpvvizsvki.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25252 is divided by 155?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10606 - -12636. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*j - 2*j = -40, 4*d + 2*j - 30 = 0. Suppose 0*p - d = 5*v - 2*p, -5*p = 5*v + 5. Let n(r) = 4*r**3 - 3*r**3 + 1 + 2*r - r. Give n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a factor of 35350031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 14) to base 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*z, j - 5*z = 17 + 3. Suppose 0 = -3*x + w + 9, 2*w = -j*x - 2*w + 15. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*l + 1)*(4 - 8 - 2)*(3 - 22 - 2)*(8 - 8 + l**3) to v + b*l**2 + q*l + o*l**3 + z*l**4 and give z.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 23*l - 528 = 0. What is the remainder when 239 is divided by l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 2*c - 2*c + 8*c - c - 8. Let k = 7 - 12. Let x be s(k). Calculate the greatest common factor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*63\/945*-4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155004 is divided by 7036.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*u + 476 + 436 - 87 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/546)\/(5*(-21)\/490*44\/198).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3*v**3 + 6*s**3*v**2 - s**2 - 145*s*v**3 wrt s.\nAnswer: -6*s*v**3 + 36*s*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/20)\/((-152)\/(-20)). Let h = 98\/143 + -8\/429. Which is the nearest to t? (a) -0.3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 2*r + 6. Let n be v(-11). Calculate the highest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201210120 (base 3) in base 13?\nAnswer: 6753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -4. Let b be 12\/(-54) - (-415)\/45. Let d = b - x. Sort -1, 1, d.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 88. Let s(i) = -37*i + 69*i - 34*i + 1 - 1. What is s(b(y))?\nAnswer: -2*y + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -403, -402, -393, -370, -327?\n\"Answer: j**3 - 2*j**2 - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -4. Let x = c - -7. List the prime factors of (x - 38\/8)*-4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**2 - 26*j + 152. Does 40 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 376*q**2 - 17290*q + 36100.\nAnswer: -2*(q - 2)*(q + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 2\/5, 387.4, 0, 2.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**4\/24 - 4*d**2. Let b(k) be the second derivative of k**3\/6 - 2*k. Calculate b(t(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.105 times 0.073?\nAnswer: 0.080665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 596\/1341*6\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28445707*d**2 - 22580818*d.\nAnswer: 56891414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 2. Let i(t) = -23*t + 13. Calculate i(w) + 4*r(w).\nAnswer: -19*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)\/(((f\/(f*f\/((f*f*f**(1\/4)*f*f*f*f)\/f)))\/f)\/f))\/(f**0)**38 assuming f is positive.\nAnswer: f**(-109\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2003.00071 - 2003. What is l rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -10, 19, 10 in decreasing order.\nAnswer: 19, 10, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2. Let j(g) = 410*g - 589*g - 166*g. Calculate j(m(h)).\nAnswer: 1035*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14*(-29351)\/8985)\/(-8*(-7)\/2520)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 - -11 - 2 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5\/4 + t**4\/2 - 5*t**3\/4 - t**2\/2 = 0. Calculate t.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1443?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:16 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 93, -66 - 7 - 40 = -5*r - 3*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 38. What is the common denominator of (-678)\/36 - ((-12)\/2)\/c and 131\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1307*d + 70. Let g be i(14). Suppose -3*a = -4*z + 18370, 0 = 4*z - 0*a - 2*a - g. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 969. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -9893.54.\nAnswer: -9893.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1165391.88 to the nearest 100.\nAnswer: -1165400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70750576 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13063 (base 13) to base 11.\nAnswer: 24520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -7 - (-5 + -2 - (700 - 709))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 112221110?\nAnswer: 112220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30195 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47 - -cda9?\nAnswer: ce01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 5:23 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**7\/90 - 4*c**6\/15 - 7*c**5\/5 - 8*c**4\/9 - 1279*c**2. Find p, given that a(p) = 0.\nAnswer: -2, -2\/7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/9 and 17\/2478.\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -988 + 1383. What is the remainder when 5 + -2 + c + 6 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 28. Suppose -2*l - l = -x. Suppose -4*i = -2*m - 30, l*m - 2 = i - 6. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14849?\nAnswer: 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1265, 1280, 1295, 1310, 1325?\n\"Answer: 15*y + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171277293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 890 + -911.97. Let o = 22 + k. Which is the nearest to 1? (a) 1\/3 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11210, 26931, 53126, 89789, 136914, 194495, 262526?\n\"Answer: -h**3 + 5243*h**2 - h + 5969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, w: 5, l: 4}. What is prob of sequence uuw?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -128 = -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - ((sqrt(325) - (5 + sqrt(325)*-2)) + sqrt(325))) + sqrt(325) + -5 + 5 - (sqrt(325) + 3*(-1 + sqrt(325)) - (sqrt(325) + -1 + -3)))**2*6.\nAnswer: -1200*sqrt(13) + 48846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 2) + ((-17)\/(-28))\/(82\/(-984)). Let m = 25 + -7. Suppose 3*r = 3*v + m, -4*v - 21 = -5*r + 4. Which is the closest to f? (a) -3 (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - c - 1 = 0, -1 + 3 = 4*y - 2*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 50 = 3*l, 0*v + 2*v = -4*l + 58. What is the remainder when 58 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 7*t**3 - 5*t**3 + 9*t**3 + 6*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 5*m + 9 = 0, 2*m - 18 = 4*x. Suppose -12*l = -14*l - 6. Sort x, l, 1 in ascending order.\nAnswer: x, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (263 - (-8)\/2). Let l be (-4)\/28 - (v\/(-14))\/1. Let d(w) = -w**3 - 19*w**2 - w - 10. Let h be d(l). What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 58*s**2 - 2*s. Give l(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b - 33 + 195. Let h(r) = 8*r**2 - 1071 + b*r - r**2 - r**3 + 1061. Calculate h(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:13 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 50 = 11*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 4*d - 4. Let z be 6 - (0\/2 + 3\/3). Suppose -i = 3*a, 3 = z*i + 4*a - 8. Suppose t + 12 = 5*t, i*y = -t - 12. Give p(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133.94 + -132. Let x = 0.06 + k. Let s = -9.245 + 3.245. What is the second smallest value in x, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47b56b (base 15) to base 16\nAnswer: 345752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10675?\nAnswer: 10675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195046909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-4*-5*4)**2.\nAnswer: 1094400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7071 + -6919. What is the remainder when 158 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(2736) + (sqrt(2736) - (2*sqrt(2736) + sqrt(2736) + sqrt(2736)))))**2.\nAnswer: 273605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - -8) + -9 + (-5 - 22).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53151275 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + 4811\/697 + -4. Is 19 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 1217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 48169, -3.\nAnswer: -3, 0.2, 48169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875155 is divided by 468?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 23*b - 770. Let v be m(33). Let i(j) = -j**2 - 6*j + 2. Let c be i(-6). Put -0.1, 1, v, c in descending order.\nAnswer: c, 1, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let y be 3 + (0 - (4 - (3 + 0))). Let p = y - x. What is the nearest to p in -2\/15, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - 6) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, f: 5}. What is prob of sequence gfff?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 0*s**2 - 151*s - 16 + 153*s + 0*s**2 - s**2 to n*s**3 + b*s**2 + h*s + v + i*s**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-16))\/((-6)\/744) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaajrjjrrjrjajrrj. Give prob of picking 2 r and 1 a.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 4*g**2 - g**2 - 5*g - 8. Let y be a(-5). Let t = y + -14. Solve 4*v + 4*l - t = 0, -4*v + 33 = -0*v + 5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 5*t, 10*k - 5*k - 14 = -2*t. Sort -1, t, 1 in decreasing order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3284635 or 3284624?\nAnswer: 3284635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2\/2 + 6*c + 3. Let q be b(-6). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 33 = 9. Calculate the least common multiple of v and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 28*v + 131*v + 101*v = 0 for v.\nAnswer: 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5889212 divided by 60094?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w\/(w\/w**(-2\/13)))**(2\/33) assuming w is positive.\nAnswer: w**(-134\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 45. Let r be 6\/(-3) + n + 2. Suppose -20*y = -17*y - r. Calculate the highest common divisor of y and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 13, 19, 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 13*b + 4. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103150 is divided by 256?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 6*z + 7*z)*(-z**2 - z**2 + 91 - 134) - 3*z**3 - 4*z**3 - 3*z**3.\nAnswer: -24*z**3 - 301*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2283 + 10540. What are the prime factors of a?\nAnswer: 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 divided by -66?\nAnswer: 445\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2. Let b(t) be the second derivative of -t**5\/30 - 3*t**2\/2 - 2*t. Let c(f) be the first derivative of b(f). What is c(s(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 670834685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4183822528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630 + (-11 - -6) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose -4*t = j*m + 36, 4*m + t = -t - 48. Is (-884)\/m + 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 14*r - 14. Let j be m(-12). Let x(g) = -5*g + 1. Let c be x(-1). Solve a - c*a = j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-27)*3\/2. Suppose 0 = t - c*w + 54000, t - 4*t - 162000 = 4*w. Round t to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffooccfkfbkobfkfokf. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2789362, 5578717, 8368072?\n\"Answer: 2789355*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 744*d + 15. Let h(a) = -14*a**2 + 2976*a + 67. What is 2*h(l) - 9*v(l)?\nAnswer: -l**2 - 744*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309295825.\nAnswer: 5, 719, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12069 is divided by 480.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43702.21 litres in millilitres?\nAnswer: 43702210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172762 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30928000 rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 52.9\nAnswer: -317.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**3 + 6*x**2 - 9*x + 8. Let b(t) = -10*t**3 - 7*t**2 + 10*t - 9. Let m(r) = 2*b(r) + 3*v(r). What is the units digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a - 30 = -86 - 164. Solve -5*h - 18 = -3*n, -34*h + a*n = -33*h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 15*q**2 - 32*q + 56. What is u(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 4 (c) 0.4 (d) -119 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) - ((6*sqrt(240))\/sqrt(4) - sqrt(60))) + sqrt(60))\/sqrt(10))\/(sqrt(300)*-2*6 - sqrt(300)).\nAnswer: 3*sqrt(2)\/130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-153836)\/(-72) - 2\/(-4). Let n = 2131 + i. What is the common denominator of 43\/27 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2\/8 - 21291*i\/8 - 5868135\/2 = 0?\nAnswer: -5732, -1365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*n = -n + 8, 0 = 3*w - 31*n + 16*n + 13*n - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - (-5 + -4) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80659, 80622, 80577, 80536, 80511?\n\"Answer: 2*r**3 - 16*r**2 - 3*r + 80676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Let k be (-73)\/4 - 1\/d. Let y be k\/1*(-3)\/9. Solve 0 = -n - y + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l**2 + 70*l - 69. Give d(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258246 and 1991.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3400 divided by 680.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6 + 17*t**5 - 5*t**2 + 236 wrt t?\nAnswer: -240*t**3 + 1020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 + 0.1. Suppose 2*w = -2*d, 1 = -d - 2*w - 2. Which is the second smallest value? (a) 1 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:11 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2) - sqrt(3)) + 0 + (sqrt(24)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4, 3*f = -3*w + 105 + 318. What is the greatest common divisor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.3 + 83. Which is the nearest to 0? (a) w (b) -2\/9 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 10:22 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39535326997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1.03406?\nAnswer: -0.63406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 2. Let u be y(-2). Suppose -46 = -18*b + 44. Suppose u = b*n + 626 - 2881. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3\/4 (b) 4 (c) 0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 5*j. Let a be w(4). Suppose -3*u = -13*u - 50. Is u less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s - 458 - 349 = 887. Calculate the smallest common multiple of s and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3968517 and 885?\nAnswer: 19842585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 + 2*t + 2. Let i be g(-2). Calculate the greatest common divisor of 78 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 + 244. Suppose 15*l = 11*l + w. Solve 4*h - 7 + 3 = l*i, 0 = -5*i - 5*h - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 36. Let n be 15\/2 + 12\/s. Solve 5*h = h + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123415 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 5 - 5)*(1 + 2 - 7) - 5682559 + 5682559 + 2332*a.\nAnswer: 2328*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 4:50 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(832)*-1 + -2*sqrt(832) + 2)*4*2*2 + -3)**2.\nAnswer: -14848*sqrt(13) + 427666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 6*s**2 - 28*s + 21. Calculate the remainder when 87 is divided by k(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 2 - 9 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/15)*v\/(v*v**(-7)*v)*v)**6\/((v**(-1\/2))**(2\/93)\/(v\/((v\/((v**(2\/9)*v)\/v))\/v))**(26\/3)) assuming v is positive.\nAnswer: v**(248603\/4185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 837 and 1.6.\nAnswer: 1339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 1631 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-788376)\/(-792))\/(((-4)\/3)\/4). Let p = d + 2982. What is the common denominator of p and 13\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -349889 at least -349886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 27*f**2 - 4*f + 4. Let a be z(1). Suppose -a*s = -19*s - 272. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.1288 + -0.0688. Let u = 22 + -46. Let l = u + i. Round l to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361, 2, 3, -2, -1, 0.06 in descending order.\nAnswer: 361, 3, 2, 0.06, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*x = -18, 147*a - 151*a = 3*x + 11. Let g(h) = -h + 15. Let l be g(10). Suppose -3 = u - l. Solve -4*o = t + 6 + a, -u*o - 2*t = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80491840 divided by -22867?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*h**2 + 3 + 6)*(1093 - 1496 - 1509) in the form g*h + y*h**2 + v and give y.\nAnswer: -3824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.161058 rounded to 3 dps?\nAnswer: -1.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**3 + 33*t**2 - 4*t - 127. Let g be j(11). Which is the fourth smallest value? (a) -9 (b) 1 (c) 1\/2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/60866 and -11\/20?\nAnswer: 608660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p - 47*p - 11*p + 35*p.\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 23135.\nAnswer: -1\/23135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(3\/30). Find i, given that i**3 - 2 - 2*i**4 + 5*i**5 + 2 - 4*i**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 11*y + 0)*(0 - 2 + 1) + (5 - 3 - 4)*(3*y - 5*y + y) + (-5 + 4 - 2)*(0*y - 3*y + 2*y).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*1 + 1 - sqrt(833) - sqrt(833))*-6 + 0 - (2*(sqrt(612) + -1) + sqrt(612) - -6*1*sqrt(612)))**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 40 = -5*i, 7 = -0*u + u + 3*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64403460 and 71280.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9303823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 17*o**2 - 13*o - 42. List the prime factors of n(15).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1, -167 = 3*m + 2*c - 7*c. Let j = m - -61. Let x(k) = k**3 - 8*k**2 + 10*k - 10. Determine x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.1 (c) 46.38 (d) -31 (e) 4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffgcffccff. Give prob of picking 2 c and 2 f.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0 + 4 - 8 - 4*q + 0. Let t(v) = -v**3 - 3*v - 3. What is 3*k(h) - 4*t(h)?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 5*p**4\/12 + p**3\/6 + 51*p**2\/2 - 15*p. What is the first derivative of q(b) wrt b?\nAnswer: 10*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*8827\/(-12740) + -68.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 5. Suppose 4*h - 4*u = 0, 4*u + 5 = h + 2*u. Let s be c(h). Let q be ((-3)\/9)\/((-2)\/18). Put s, -5, q in ascending order.\nAnswer: -5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/1479?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmsggssssssmsssssm. What is prob of picking 1 s and 3 m?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, 0.3, 4, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - 17*y**2 - 8*y - 9. Let r(m) = -332*m**2 - 2 + 328*m**2 - 30*m + 12*m + 16*m + m**3. What is 9*r(t) - 2*v(t)?\nAnswer: t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + m - 5 = -5*r, 4*r = -2*m - 2. Let x(z) = 3*z - 4. Let d(p) = 16*p - 20. Give r*d(j) - 11*x(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 - 7*n**5\/60 - 17*n**4\/24 + 23*n**3\/6 - 17*n**2. Let c be f(8). Let d = 239 - c. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b = 2878 - 2176 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 111*q**2 + 114*q - 398. Determine s(112).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -14 + -8 - (14 + -46 + -2 + -5).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 21*b - 11*b - 6)*(-190 - 13*b + 190) in the form j*b + f + k*b**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccasaef. Give prob of picking 1 a, 1 f, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -40*x. What is the remainder when l(-1) is divided by (-33)\/(-3) - -5 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2 + 3\/(-3)). Let c be o\/(-14)*4 + (-1236)\/14. Let y = c + 92. Solve -y*p + 10 = -2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.26669 + -0.0945798\nAnswer: 18.1721102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**3)*x))**(1\/6)\/((x**4\/x)\/x**6) assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 - 584 = -5*l, -m + 6313 = 2*l + 6330 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53424.6l in millilitres?\nAnswer: 53424600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(396) - sqrt(396)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)\/(1\/(-26) + 0). Let j = i - 20. Is 21 a factor of j\/27 - (-2370)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8980391913?\nAnswer: 3, 79, 103, 367883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {e: 1, p: 3, s: 1, b: 2, r: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2 and (-335)\/4*2\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)*q*q)\/q)**47*q**0*q*q**(-5\/9) assuming q is positive.\nAnswer: q**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -877751*o*q + 178564*o wrt q.\nAnswer: -877751*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 29. Which is the third smallest value? (a) -0.5 (b) -31 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -67. Suppose 3*o = -y + 18. Let v(m) = 147*m**3 - m**2 + 4*m - 3. What is the tens digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2072221706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49679 or 0.1?\nAnswer: -49679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888374803?\nAnswer: 149, 307, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19099 is divided by 415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 6*g.\nAnswer: g*(g - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = -5*p - 0*p, -2*p - 24 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(1 - 1 + 2*y)*(15 - 5 - 8).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9\/2 (b) -4 (c) 1.4 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1110*v**3 - 205 with respect to v.\nAnswer: -3330*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 26 - (5 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3 + 3)*(3*s**2 - 21*s + 2 + 23*s + 8*s**2).\nAnswer: -22*s**3 - 4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63788100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 8:58 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 39*h - 232875 = -149*h. Calculate the highest common divisor of h and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 15 - -24 - -14) + 2 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-231)\/14)\/(-11)*6 and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369883 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + (12 - 7) - (0 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595570892 to the power of 1\/2, to the nearest integer?\nAnswer: 24404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4002166 < -4002141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.22 - -12. Let l = b - 0.88. Let k = l - -1.0978. Round k to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2\/2 + g - 11. Let d(i) = i - 5. Let l(x) = -d(x) - 2*q(x). What is l(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167\/24894 or 1?\nAnswer: 167\/24894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -17 - (3 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177337, 354703, 532079, 709471, 886885, 1064327, 1241803, 1419319?\nAnswer: 1596881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**3)\/(l**(-4\/5)\/l*l)*(l**(2\/9))**(-6\/7) assuming l is positive.\nAnswer: l**(-146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-3)\/20)\/(1392\/1856))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 852613093*k**2*p**4 + 480958*k**2*p**2 - 52*k**2 wrt p?\nAnswer: 20462714232*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 35 = 3*l. Calculate the common denominator of -53\/4 and l - 6 - 50\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((108 - 6*t - 108)*(2 + 0 - 7)*(-2 - 2 + 3) + (3*t - 5*t + t)*(-5 + 2 + 1) + 4*t - t - 2*t)*(-17*t**2 + 4*t**2 - 2*t**2).\nAnswer: 405*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (102 - 89) + (3 - -1) - -43?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -10 - 10) + (-1 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3\/6 + 13*c**2\/2 + 3*c. Let j be r(-8). Sort j, -3, 3 in increasing order.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -150301?\nAnswer: -150322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1425)\/(-165)) + (-1428)\/(-66).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:47 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfd when three letters picked without replacement from fvd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n = -29*n - 13355. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -84663, -169349, -254035, -338721?\n\"Answer: -84686*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 847.6604 millennia?\nAnswer: 10171924.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8612 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6)*(8 - 5) - -4. Suppose z - 10 = -3*p, 5*z - 32 = -s*p - 8. Let r = -1 + 1. Solve p = l - r*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6768)\/12)\/12*1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 114*y + 5885 = 16*y + 22*y for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11407 + -5?\nAnswer: 11402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -50. Suppose -d + 2*d = w, 8 = 4*g + 5*d. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -23 (b) -0.2 (c) 673 (d) 0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 49840323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2431*x**2 - 2342*x**2 - 777 + 777.\nAnswer: 89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-3*3)\/(sqrt(108)\/sqrt(2)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1087588, 1, 5, -1.\nAnswer: -1, 1, 5, 1087588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, l: 1, t: 6, y: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -2, 3, 36\/25, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 796385 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**3 + 23*z**2 - 16*z + 3. Let l(x) = -4*x**3 + 12*x**2 - 8*x + 2. Let c(k) = -5*l(k) + 3*t(k). Let h be c(8). Put -2, h, 5 in descending order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:21 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -5*sqrt(208) + 1 - (sqrt(208) - (((sqrt(208) + 0 - sqrt(208)) + sqrt(208) - sqrt(208)) + -3)))**2 + 0 + -1.\nAnswer: 80*sqrt(13) + 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*3\/(-9))\/((-30600)\/192780).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzu when three letters picked without replacement from {b: 4, z: 9, u: 6}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 8. Let p(v) = -v - 7. Let g(d) = 3*j(d) - 4*p(d). Suppose 11 + 5 = 4*y. Does 16 divide g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041116.881 rounded to the nearest 1000?\nAnswer: 1041000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-6)\/18. Let w = 34 + -30.9. Let u = w + -3. Which is the closest to u? (a) y (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*k = 92*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -265753 (base 11) to base 12\nAnswer: -181744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**3 - 2*o + 1. Let q be y(1). Let r be (q\/(-15))\/((-2)\/12). Let -1\/3*s**r + 1\/3 + 0*s = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4474*j - 35234 - 9506 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*z + 3*f, 5*z + 4*f + 0 = -13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9802 (b) 1\/3 (c) -0.96 (d) -8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, -0.4, -548, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 927 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -190*n + 191*n - 54. Let y be (-4*(-2)\/4)\/(-50 + n). Let r = 0.1 - 0.3. Which is the third biggest value? (a) 2\/11 (b) r (c) y (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -127. Solve d = 2*b + 7, -3*d = k*d - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01374475778 to 7 decimal places.\nAnswer: 0.0137448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (0 - (2 + 0)). Suppose -y*d - 6 = -3*l + 2, -5*l + 17 = -3*d. What is the second biggest value in l, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 503065?\nAnswer: -9\/503065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101769, 203982, 306641, 409746, 513297, 617294, 721737?\nAnswer: 826626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 - s**2 - s. Let f be (-4)\/10 - 15\/25. Give w(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 16) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 times -94?\nAnswer: -81.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/24*o**4 - 1\/2*o**3 + 0*o + 0 + o**2. Let t(r) = -r**2 + 9*r + 13. Let p be t(10). Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(45\/(-8)))\/(1512\/(-1260)))\/6.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*h**5 - 857*h**4 - 523*h**3 + 1533*h**2 + 18*h = 0. What is h?\nAnswer: -3, -2\/171, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -57*d - 618. Determine o(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3\/4 + 1011*r**2\/4 + 3981*r\/4 - 4995\/4 = 0. Calculate r.\nAnswer: -333, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1*(6981\/195 - 35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490 less than or equal to 2491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 4300?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 - 27*g + 131. What are the prime factors of r(11)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*r + 10. Suppose -4*i = -22 + r. Calculate the remainder when i is divided by 2 + 1\/(2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*s - 0*s. What is the remainder when 135\/7 + (-4)\/14 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -3aa155?\nAnswer: 3aa159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpng when four letters picked without replacement from bggpxbpgnxbnnpbnx.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.094 from 4.8.\nAnswer: 4.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -453*k**3 - 20*k + 944*k**3 - 11*k**2 - 541*k**3 wrt k.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f + 87. Let p be n(4). Suppose 3*s = 2*s - 5*w + 13, -s = -3*w + p. Solve s*y = -3 + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 300, -2, 4, -9914 in descending order.\nAnswer: 300, 4, 2, -2, -9914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 - (-1 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = b - 3*b + 9, -5*n - 2*b = 31. Let q(v) = 9*v**2 + 8*v + 8. Let u(g) = -g**2 - g - 1. Determine n*q(a) - 40*u(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 17. Suppose -28*h = -32*h + 16. Let n(s) = h*s**2 - 3*s**2 - 81*s + 81*s. Determine r(n(y)).\nAnswer: 2*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30443.\nAnswer: 7, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/71)*v*(v*v*v*v**6*v)\/v*v*v*v**12\/v*v\/(v*v*((v*v**2\/v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(1493\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.535135 meters to micrometers.\nAnswer: 4535135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 10, k + 4*z - z + 3 = 0. Solve b + 5*a = 12, k*b - 2*a = -7*a + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/245 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1128\/16)\/47)\/(9\/(-18)*(-52)\/(-4))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k - 3. Let t be v(5). Let x be (1\/(2\/6))\/((-39)\/(-143)). What is the highest common factor of x and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-2)\/(10\/(-25)) + -52300. What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -2, 4308 in increasing order.\nAnswer: -4, -3, -2, 4, 4308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2935 = -4*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 5. Let g be z(-4). Let n be 1*(-1 + 0)\/g. Solve 0 = 4*d - n - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/5 + 14*u**4\/5 + 4*u**3 - 36*u**2\/5 - 54*u\/5 + 54\/5.\nAnswer: 2*(u - 1)**2*(u + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18554656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10102120?\nAnswer: -10102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 821 + -818. Which is the second biggest value? (a) 2\/9 (b) r (c) 2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7763.\nAnswer: 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -4*1\/2. Let y = q - -7. Suppose 5*k + 2*i - 32 = 0, -i + y = k - 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-9)*3*(-1)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.213 + -85.213. Let i = -85.000053 - o. What is i rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = -3*u, -3*u - 3*i + i + 4 = 0. Suppose -7*q + 2*j - 21 = -2*q, 5*j + 15 = -q. Let x = -5 - q. Solve 2*o + x*s = -3*s + 10, -s - 2 = -u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7381 - 31243 = 3*j, 4774 = p - j. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2) + (2 - 1). Suppose 0 = -3*k, 5*b = k + 6 + 9. Suppose i*u = b*u. Solve u = 4*x - 6 + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b96 (base 12) to base 13.\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**6\/20 - 7*m**5\/60 - m**2\/2 - 2*m. Let k(x) be the first derivative of b(x). Find the third derivative of k(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5378312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4651250*s**5 + 218596550*s**4 + 7819324642*s**3 + 7615999826*s**2 + 19936048*s + 13064 = 0. What is s?\nAnswer: -23, -1, -2\/1525, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4834, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 590050 and 29537903?\nAnswer: 11801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 228855585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 11. Let h = f - -6. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 113480?\nAnswer: -11\/113480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 0*u**3 - 41 - 50 + 2*u**3 + 77. Let c(v) = 1. Give -84*c(k) - 6*w(k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*j**2 - j**5 - 6*j**5 + 2*j**5 - j**5 wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.21 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236*b - 1300*b = -2578*b + 1008 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*n**3 - 6*n**3 + 10*n**3 + (1 + 2*n**3 - 1)*(3 - 1 - 5).\nAnswer: -57*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -4. Let u = -2.1 - a. Let y = 39 + -38.9. Is u bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 3\/2, 1\/2, 0.4, -13.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-101)\/(-11) + 8\/(-44). Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20099147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 52102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7531 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.56601 milligrams to micrograms.\nAnswer: 31566.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 9 + 4 = 0. Let x(q) = q**2 + q. What is x(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-8 + 13)\/(-1) - -14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -987.6 + 988. Let z = 38 + -110\/3. Which is the second smallest value? (a) z (b) 16 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7*s + 154 = 0. Solve -5*l + 5*j + s = -1, -5*l - 5*j + 25 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 50*w + 595. Give r(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 20*p**2 - 18*p - 10. Suppose -5*h + h + 32 = 0. Calculate the least common multiple of k(19) and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 136 - 34 - 44 - 10*m**3 + 11*m**3 - 15*m**3.\nAnswer: -17*m**3 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856670.\nAnswer: 2, 5, 85667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-30)*(m*m**(-2))**31)\/((m*m*(m\/(m**(-2\/7)\/m))\/m*m)**(-34)*(m*m*m**(-1\/3))**(-4)) assuming m is positive.\nAnswer: m**(2729\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26534 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1071439*v + 1293*v**3 - 1071439*v.\nAnswer: 1293*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3986558 and 1758?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -20. Let i(w) = 87 + 47*w - 90*w + 34*w. Let q be i(10). Which is the nearest to -1\/4? (a) z (b) q (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/15*-9)\/((-36)\/(-90)). Solve 4*j + y + 5 + 10 = 0, 6 = -r*j + y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*l**4 + 18*l**2 - 18*l**2 + (-l**3 - 3 + 3)*(2*l + 4*l - l) + 2*l**4 + 2*l - 2*l + (0*l**3 - 3*l**3 + 2*l**3)*(4*l - 4*l + l))*(-3*l - 2 + 2).\nAnswer: -45*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 i when three letters picked without replacement from {i: 3, d: 2, v: 9, o: 3}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 50*n**2 - 312*n + 80. Calculate c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**3 - 89*b**2 + 58*b**3 - 4*b**3 + 14*b**3 wrt b?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1089*a*y**5 - a*y**4 - 352*a*y - a wrt y?\nAnswer: -21780*a*y**3 - 12*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v - 18 = 5*l, 0 = 3*l + 4*v + 13. Let c be (l - -23)*(-36)\/(-10). Suppose -60 = u - 6*u. What is the highest common factor of c and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/474 and 59\/4396.\nAnswer: 1041852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*k - 346*k + 195930 = 331*k + 1090*k for k.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 8*a + 3 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -25. What are the prime factors of (-9)\/6 - p\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n + 10. Let p(v) = -6*v - 11. Let m(z) = -6*p(z) - 7*s(z). Let g be m(8). Calculate the common denominator of g*(-18)\/(-15) + -1 and 69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9833012 months to millennia.\nAnswer: 0.0001652751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.71615 millilitres in litres?\nAnswer: 0.00871615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 30 = c + 30, -3*c - 138 = -2*q. Let v = c + 114. Is 33 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 612083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 1, -3*h = 3*q - 9. Suppose -k = -2*s - 2, -2*k - k + 2 = -q*s. Is -1 + (421 - k - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*-3 - -83. Let d = 369 + -335. Calculate the highest common factor of p and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 126822448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99392 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 7. Let g(x) = -x**3 - 9*x**2 + 6*x + 138. Calculate the remainder when g(-8) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t**4\/3 - 5*t**3\/3 + 58*t**2\/3 + 68*t\/3 - 8 = 0.\nAnswer: -2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 = -3*h + b, -4*b = 5*h + 33. Let x(k) be the first derivative of 2*k**2 + 5. Let u(m) = 3*m. What is h*u(o) + 4*x(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l, 3*l = -d - 3*d - 316. Suppose -335 = 4*u + 5*n, 2*n = 8*u - 4*u + 314. Let q = u - d. Is q smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1597\/9 - 135151\/765. Find the common denominator of 73\/51 and u.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elel. What is prob of picking 1 e and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228)*5)\/(2*3*sqrt(12))*-2)**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 147*z**3 - z**2 + 2*z + 2. Let v be i(-1). Let t = 43 + v. Let b = t + 737\/7. What is the nearest to b in 2\/9, 2, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(8)\/sqrt(4) + -4)**2*2 - ((sqrt(550) + -6*sqrt(550)*2)\/sqrt(11))**2.\nAnswer: -5978 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 10*x + 13. Let f be u(-9). What is the first derivative of 2 + h**2 - 4 + f - 4 wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(24\/10)*-58*(6912\/(-90))\/(-64)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1859 - 598. Let v = f + -2943. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -57. What is the nearest to 2\/9 in -0.5, q, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-37619989)\/(-33). Round y to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1521, 1519, 1517, 1515?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-two fifths of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18633 + -18633.5. Which is the second biggest value? (a) -11 (b) -4\/3 (c) o (d) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-50) - (-3429)\/(-5). Let r = f - -1171. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/2 + 17*c**3\/2 + 57*c**2\/2 + 67*c\/2 + 13 = 0.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - (-1 - -6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173052?\nAnswer: 2, 3, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500) + 4 + 1 + (1*sqrt(500)*5 - sqrt(500) - (sqrt(500) + -1)*4))**2.\nAnswer: -180*sqrt(5) + 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l**2 - 11*l - 11. Let h(w) = 6*w**2 - 4*w - 4. Let n(m) = -11*h(m) + 4*y(m). Let a(k) = -3*k**2. What is a(n(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3184)\/(-8) + (-3)\/(9\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82604350 by 446510.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 - 181. Suppose -4*t + 89 = -63. Calculate the remainder when t is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*166.93.\nAnswer: 5.0079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9949876, 9949899, 9949922?\nAnswer: 9949945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 21. Let n = -0.02 - 0.28. Which is the smallest value? (a) -4 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*7\/((-21)\/(-4)). Let z be (-1 - u\/(-8))*6. Let y(x) = x**3 + 2*x**2 - x - 2. Give y(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:13 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3. Let x(l) = -987 + 987 - 5*l**3. What is -2*v(s) + x(s)?\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1716*v**3 + 52*v**2 + 52*v - 52. Let l(b) = 101*b**3 + 3*b**2 + 3*b - 3. What is 3*i(x) - 52*l(x)?\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 110 = d. Suppose 0 = -9*i + d*i - 540. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398859, -797715, -1196571, -1595427, -1994283?\nAnswer: -2393139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 13 = 3*o + 96, -22*o + 25*o = -2*f - 59 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 3)*(-5)\/(-10). What is the third derivative of -j**6 - k*j**3 + 2*j**3 + 0*j**6 - 4*j**2 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 2 - 2)*(184 - 184 - 2*q) + 2*q**2 - q**2 + 0*q**2 to t*q + l*q**2 + v and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugmvmmmmmmmmmg. Give prob of sequence vum.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:50 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 - 4 = 0. Let x(z) be the second derivative of 0 - 1\/40*z**5 - 1\/12*z**3 + 1\/12*z**4 + 0*z**u + 2*z. Factor x(v).\nAnswer: -v*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -84*r + 1. Let g(h) = -2160*h. Determine j(g(i)).\nAnswer: 181440*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1568\/84)\/28*-42.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-85)\/17 - (1 + 1)*9\/(-3). Which is greater: -2\/9029 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9))**41\/(r**(5\/3)\/(r\/(r\/(r\/(r*(r\/r**(-2\/9))\/r)*r)*r))) assuming r is positive.\nAnswer: r**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1381 is divided by 181.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**2*i**3*j - 13*f**2*i**3 + 2*f**2*j - 68*f**2 + 8*f*i**2*j - 7*f*i**2 - 4*f*j + 2555*i**3 - i**2 wrt i?\nAnswer: -42*f**2*j - 78*f**2 + 15330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftcf when four letters picked without replacement from {f: 3, t: 1, c: 1, q: 4, i: 1, l: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 51 = -v, -2*u = 5*v - 91 - 5. Solve 3*t - u = -5*z - 29, -6 = 2*t - 4*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91277?\nAnswer: 97, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 0*f**2 - f**2 + (0*f - 3*f + f)*(0*f - 5*f + 3*f) + 4 - 4 + f**2 - 2*f**2 + f + 2 - f.\nAnswer: 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + s**2)*(-2 - 2*s + 2) - 3*s**3 + 3*s**3 - 2*s**3 - s**3 + 0*s**3 + 4*s**3 + (-s + 0*s + 0*s)*(52*s - 52*s + 150*s**2).\nAnswer: -151*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*a + 105*a + 86*a - 2)*((0 + 2 - 1)*(4*a**4 - 3*a**4 + 0*a**4) - 2*a**4 + a**4 + 5*a**4 + a**3 + a**4 - a**3).\nAnswer: 102*a**5 - 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1302*q + 93729. What is z(-72)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -53 - 183. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9612c (base 14) in base 13?\nAnswer: -c8c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1807848 divided by 4284.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 + 1 - 3)*(202 - 107 - 57)*(3*w**4 - 7*w**4 + 2*w**4).\nAnswer: -456*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157202, 157207, 157222, 157253, 157306, 157387, 157502?\nAnswer: 157657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {c: 2, o: 7, j: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52156)\/572 - (4\/(-22))\/1. Let d = h + 95. Solve 0 = 3*v - d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*g = -114 + 44, -5*k = -4*g - 120. Let n = 29 - k. Let r = -16467 - -16473. What is the greatest common divisor of n and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 19. Let t = u + 3. Let v = 12\/5 - 56\/15. Which is the second biggest value? (a) t (b) 2\/29 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287\/12943 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 4. Let a be n(-4). Let g be a\/12 - 20\/3. Does 10 divide 2\/g - 183\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915311a (base 11) to base 4.\nAnswer: 331232302220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - w + 2. Let v be u(0). Solve k + k + v = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(16*a**3 - 10*a**3 - 5*a**3 - 300*a).\nAnswer: -a**3 + 300*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -293 + 297. Solve -2*s - 5*m = 20, s - 2*s - 16 = n*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5792770 divided by -1158554.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0.5 (c) 3 (d) -0.104 (e) 404\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000 (base 5) to base 4.\nAnswer: 113130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let a(n) = n - 15. Let i be a(18). Suppose 5*q - 3*c = -4*c + 55, -9 = -p*q - i*c. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (-3 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:12 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*z - 2*z + 68, -3*z - 162 = -4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**4\/5 - 492*l**3 - 813*l**2\/5 + 1638*l\/5 = 0. What is l?\nAnswer: -273, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 469, 492, 567, 718, 969?\n\"Answer: 4*u**3 + 2*u**2 - 11*u + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 3654?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47747517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2 + 24685*n - 147859. Give m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by 67\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17911 - -185?\nAnswer: 17a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/320540 and -103\/27280?\nAnswer: 1282160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/60654 and 97\/95750610.\nAnswer: 1053256710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 14*y - 31. Let o be k(3). Let b(t) = -7*t + 2. Give b(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 - 111. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 2*c**4 + c**3 - 1 + 2*c**3 - c**2 + c**3 as m*c**2 + z*c**4 + h*c + p + x*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 12:01 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)*(-78)\/4. Let q be (4\/(-3))\/(2\/t). Suppose -4 = -2*h - d + 26, 0 = h - 5*d - q. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.181 - 9.881. Let x = 9.6999459 + c. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -101, -136, -157?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96231.26 millilitres to litres.\nAnswer: 96.23126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 29*v - 4. Let k be x(3). Let w = 298 - 246. Let y = k - w. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhrhmmhmr. Give prob of picking 2 r and 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-78)\/39).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*l = -44, 5*l = -11*f + 12*f - 22. Calculate the highest common divisor of 154 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.328715mg to grams.\nAnswer: 0.002328715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 5*o - 37. Let j be l(-6). Suppose -m = 3*n - 1919, -m - j - 572 = -n. What are the prime factors of n?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.83 - 0.17. Which is the third smallest value? (a) 0 (b) -8 (c) o (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 19*q**2 - 58*q - 156. Let x be o(22). Solve 2*p = -2*i + 14, 38*p - 33*p + 2*i - x = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 2*b - 0*q, -5*q + 17 = -2*b. Sort 1, b, -6 in increasing order.\nAnswer: -6, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 20*b - 16. Let v be i(-17). Is v at most as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-35)\/14)\/(2\/(-4)). Let k be (-16)\/(-6) - 4\/6. Suppose 3*g - 4 = -k*x + x, -3*x + 12 = 3*g. Solve 5*h = -g - m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10336488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 13152*v**3 + 25919*v**3.\nAnswer: 39071*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67560.\nAnswer: 2, 3, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -292030 - 0.344896?\nAnswer: -292030.344896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 67*s**2 + 32*s + 83. Give h(34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1970 - -2015 - (-3 + -18).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + -0.04. Let u = s + 4.08. What is the closest to -0.1 in u, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382 - 102. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 29)*(2*s + 0 + 0).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12348 and 3822.\nAnswer: 160524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 + s**2 - 3*s + 1. Let v be 18\/135 + (-28)\/(-15). Does 31 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330483472 to the power of 1\/2, to the nearest integer?\nAnswer: 18179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58576, 117154, 175732, 234310?\nAnswer: 292888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40694385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -590 - -357. Let k = -233.0002792 - z. Round k to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 233*m - 7. Let n be z(3). Suppose n = u + 2*l - 101, 787 = u - 4*l. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/(100\/10)*(3 + -2). Put z, -2, 3, 0 in increasing order.\nAnswer: -2, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 35 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-813*n + 813*n - 35*n**3)*(3*n - 4*n - n)*(0 - 6 + 4) to a*n + v + r*n**4 + c*n**2 + d*n**3 and give r.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 49 - 1. Let c(b) = -2*b + 88 - 89 + b. Let d(f) = -3*f - 3. Let r be 2*11*(-7)\/14. Determine r*c(m) + z*d(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5\/(-15)*3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + f**3 - 45*f + 45*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 994767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582417 is divided by 102?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (11 - 11) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 8:07 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13697 - 13?\nAnswer: -13.13697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.3 - -64. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12899936.66 and -0.3.\nAnswer: -12899936.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 137256, 137147, 137046, 136959, 136892, 136851, 136842?\n\"Answer: i**3 - 2*i**2 - 110*i + 137367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.70159 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63197785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 572 + 339*v**2 - 287 - 287 + (v**2 + 2*v**2 - v**2)*(-3 + 4 + 1) + 4*v**2 - 2*v**2 + 0*v**2 in the form j*v + c*v**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u + 14. Let j be c(2). Let i be 24\/10 + 12\/(-30). Suppose 3 - 9 = -2*o - 2*t, 2*o = i*t + 14. Put j, 3, o in descending order.\nAnswer: o, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 2097860.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3 + -3*1\/3. Let j(x) = 8*x - 11. Let k be j(y). Let v = -10 - -12. Is k greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 - -11949824693.\nAnswer: 11949824510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.404 - 0.096. Let y = 516341\/141 - 3662. Which is the third smallest value? (a) l (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 6, -1, 4, -2 in increasing order.\nAnswer: -2, -1, 4, 6, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 8. Let m be a(-4). Suppose 3*s - 4*s + 12500 = m. Suppose 0 = -4*t - t + s. What is t rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -3 (b) -7\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 31*x**2 + x - 4. Let m(d) = d - 1. Give -m(g) + w(g).\nAnswer: 31*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 4*y**2 + y - 4. Let v be k(-4). Let j be (3 - (3 - (1 - 0)))*v. What is the greatest common divisor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 2*v + 0*v)*(72221 + 349*v - 72221) to b + q*v**2 + p*v and give q.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 76. Solve 3*t + m = -4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369099.4 rounded to the nearest 1000?\nAnswer: -369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-356)\/90)\/(10426\/(-234585))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 716 times 0.8\nAnswer: 572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18055967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 162457206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r + 46*r + 4*h - 16 = 0, 2*r = 2*h + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - 22. Let i(r) = -22*r + 19. Let d(m) = -104*m + 96. Let v(o) = 3*d(o) - 14*i(o). What is -3*a(j) - 4*v(j)?\nAnswer: j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(110) + (sqrt(110) - (sqrt(110) + (-1*sqrt(110) - sqrt(110)) + sqrt(110)))))\/(-2*-4*sqrt(10)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1640 from -10.\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 2:36 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317 by 1.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 0*d**2 + 0*d - d**4 - 67 + 32\/3*d**3. Solve l(z) = 0 for z.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {p: 7, u: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32.45*-0.4\nAnswer: 12.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.07 + -0.07. Let l = -9 - -6. Is i greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.102 from -15562773.\nAnswer: -15562774.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -128*z + 139 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6726\/118*5\/(-6)*(-6)\/(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -7\/4*h**5 + 8\/5*h**6 + 0*h + 139*h**2 + 1\/4*h**4 - 31\/70*h**7 + 0 + 0*h**3. Solve n(l) = 0 for l.\nAnswer: 0, 2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 - 9*l + 10. Let k = -46 - -51. Suppose k*w = 13*w - 16. Calculate the least common multiple of c(8) and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 - 3*j + 3. Let u(h) = h**2 + h - 1. Let q(s) = a(s) + 3*u(s). Let v(k) = -k. Determine v(q(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-48) - (-33)\/36)*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(125))\/sqrt(5))\/(-1*sqrt(720) - sqrt(5)) + 2)**2.\nAnswer: 12*sqrt(5)\/13 + 721\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 3*r - 2. Suppose 14*l = -7*l + 378. Calculate the remainder when l is divided by w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 1*(-4 + -3). Solve 6*d + z = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 76. Let a be t(34). Calculate the common denominator of -23\/6 and (-18)\/a + 545\/(-84).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48804095 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2. Let y = 58 + -59. Let f be 238\/84 - y\/(-6)*-1. Let k(q) = -18*q + 6*q + f*q - 3*q. What is k(c(o))?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.36581 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let p(d) be the first derivative of d**3 - 15. Determine w(p(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*a**2 + 27*a + 3916 wrt a?\nAnswer: 28*a + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 2430?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - (3 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n - 92. Let i be o(10). Suppose i*k - 3136 = -936. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 15 + -14 + -15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 4*w - 1. Let h be l(-5). Suppose h - 100 = -4*b. What is the remainder when 46 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22 and -0.0339752.\nAnswer: -22.0339752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -15, 3, -3.\nAnswer: -15, -3, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215499.58s in days?\nAnswer: 25.64235625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.1 * -0.04.\nAnswer: 0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02688 + -0.25278. What is l rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/6893 and -21\/488?\nAnswer: 55144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:40 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 + -286.35. Let f = r - -1.34999744. Round f to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-259.7048\nAnswer: 51.94096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*f = 0. Let l be 3183\/(-4023) - -1 - 0. Let j = l - -2\/149. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 145, 161, 177, 193, 209?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159569287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415150 to the power of 1\/2, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 30 = 4*t, j + 3*t = -2*j - 9. Suppose 0 = 2*y + 3*y - 240. Find the second derivative of -42*u - 49*u**2 + 23*u + y*u**j wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-774)*(34399\/(-287) - -119).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1. Let t(n) = 4*n**2 + 11*n + 3. Let o(p) = p**2 + 4*p + 4. Let b be o(-3). Let x(q) = b*t(q) + 3*r(q). Find the second derivative of x(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2630, 1708, 6056, 10420, 14806, 19220?\nAnswer: 23668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -18 + (21 - 24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 + 0) + (-24)\/6. Let x be (1 - 3)\/((-2)\/4). Put x, 1, l in descending order.\nAnswer: x, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27537 plus 4605553?\nAnswer: 4605553.27537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4\/3, 0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, 111, -4, 3\/5.\nAnswer: -4, -3, 0, 3\/5, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3790766334 to the nearest integer?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 s when three letters picked without replacement from sememfmemxmmsmfsemm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)\/(b\/(b**(-2\/27)*b))*(b\/(b\/(b**7\/b)))\/b**(-9) assuming b is positive.\nAnswer: b**(214\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*y**5 - 715*y wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 18 + (2 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 7*j**2 + 7*j + 7. Let i(m) = 4*m**3 - 15*m**2 - 15*m - 14. Suppose -12 = -7*l + 5*l, 4*b + 76 = 4*l. Calculate b*u(z) - 6*i(z).\nAnswer: 2*z**3 - z**2 - z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2 - 4*h + 5. Let u(r) = -18*r**2 - 6*r + 7. Let j be (35 - (-2 + 38))*5*1*-1. What is j*u(y) - 8*g(y)?\nAnswer: 6*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let j be 16\/(-9) + 32\/16. Let i be ((-9)\/(-6))\/(2\/4). Which is the biggest value? (a) j (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**3\/6 + 57*g. Let y(v) = -285*v**2. Determine z(y(t)).\nAnswer: 285*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2599372411 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5912434 litres to millilitres.\nAnswer: 591.2434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - p + 12 = 0, -53*p + 16*p + 152*p + 257 = 5*y - 1213 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 8.8?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 131 = -143, 3*z = 4*u + 27908. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3576 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 11*d**2 - 14*d - 19. Let m be z(12). Let o = m + 44. Put -1, -73, o in decreasing order.\nAnswer: o, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 1\/6 (c) 0.4 (d) 186\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 32*h**2 - 102*h - 10. What is s(35)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -18 - (9 - (0 - (-7 + 2)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*z = 230, 0*u + 5*z + 109 = 2*u. Suppose 14 = -2*s + u. What is the highest common factor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -22*h + 596. Calculate the remainder when 206 is divided by n(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v - 26. Let y(p) = 4*p + 13. Let s(g) = -2*o(g) - 5*y(g). Let r be s(-3). Sort 0.2, -2\/15, 2, r in ascending order.\nAnswer: -2\/15, 0.2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0023 and -3?\nAnswer: 3.0023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43.3 (b) -1\/3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10301 + 2323222202?\nAnswer: 2323233103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 + 6*d + 3. Suppose -5*v + v + 36 = 0. Suppose t + v = 5. What are the prime factors of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18 and -89\/6236?\nAnswer: 56124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/(-112))\/(1\/(-2)). Solve -c = q, 16 = 2*p - q + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 3801?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 8. Let i be q(-5). Let g be ((-2120073)\/(-58))\/i*1. Let y = g + 12185. Calculate the common denominator of y and -11\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3902\/317 or 13?\nAnswer: 3902\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24647 + 20269 + 20133)*(4*x**3 - x**3 - 2*x**3)*(-x + 0*x - x) to z*x**2 + j + v*x**4 + l*x + b*x**3 and give v.\nAnswer: -31510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61165 by -5.\nAnswer: 12233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-258)*(-3)\/4. Let r = i - -35\/172. Let m = -0.8 + -1.2. What is the second biggest value in 0, r, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -109, 1104, 3825, 8558?\nAnswer: 15807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63078 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-12)*6264\/80*(-308)\/693?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.63. Let z be (-3)\/12*1\/(-2)*2. What is the third smallest value in 1\/7, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.471145 kilometers?\nAnswer: 5471145000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 3*u + 5. Let o(f) be the first derivative of -1 - 3*f - f**2 + 1\/3*f**3. Let x(k) = 3*n(k) + 5*o(k). Factor x(t).\nAnswer: -t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1050933 + b**2 - 1050933.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, 0.05, 1822, 2\/13 in ascending order.\nAnswer: -23, 0.05, 2\/13, 4, 1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)*m**8)\/((m\/(m*m**(-1\/3)))\/m)**(-25\/3) assuming m is positive.\nAnswer: m**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7020471*f**5 - 2*f**2 - 17*f + 32309 wrt f?\nAnswer: -421228260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 10*m**2 + 17*m - 7. Give d(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = -4*t, -3*a + 5*t = -8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63396 - 58486.9. Round k to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.14, -5, 2, -0.2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 58708535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(35) - sqrt(875)))\/((sqrt(700)*-2 - sqrt(700)) + sqrt(700)))**2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1464696, -1464683, -1464670?\nAnswer: -1464657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 19*m**5\/30 + m**4\/8 + 4*m**3\/3 - 3*m. Let k(d) be the second derivative of a(d). Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14874*h**2*r**2 - 9*h*r - 3*h - 5*r**2 + 8*r wrt h?\nAnswer: 29748*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3429834 to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 111 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17321 + 67225\/4. Let b = d - -512. Find the common denominator of b and 59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5077, -5049, -5003, -4939, -4857, -4757?\n\"Answer: 9*j**2 + j - 5087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:56 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from rwrwrqqwrqw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:41 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 20*c**4 - 24*c**3 + 15*c**4 + 27*c - 53*c**4 - 3*c**5 + 6*c**2 + 12 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93973 or 2\/5?\nAnswer: -93973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -361966\/23 - -15732. Let n = 1462\/161 + t. Suppose 1\/7*o**5 - n*o**2 + 16\/7*o + 0 + 1\/7*o**3 + 6\/7*o**4 = 0. What is o?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ba2a1 + 15?\nAnswer: -1ba289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17853\/5 - -3571. Which is the closest to -8? (a) -3 (b) -1\/2 (c) x (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/55 and -97\/51300.\nAnswer: 564300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 20166687.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51\/56 or -97\/118?\nAnswer: 51\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000089001822 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 2:52 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 24 = -4*b, 0 = 28*b - 23*b - 2*s - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 6) to base 8\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*s**5 + 541*s - 2 wrt s?\nAnswer: -12400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 8)*(-2928)\/(-1098)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -21, 12, -39, -8 in increasing order.\nAnswer: -39, -21, -19, -8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**5)**(5\/21)*(c\/c**(-3\/14))\/c**(-17) assuming c is positive.\nAnswer: c**(835\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 2640?\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4207*x + 749*x + 6804*x.\nAnswer: 11760*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 11:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-40) - -1) + (-1708)\/112 + 16\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:50 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56048, -56803, -57560, -58319, -59080?\n\"Answer: -f**2 - 752*f - 55295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 12*j + 14. Let y(n) = n - 1. Let k(w) = q(w) + y(w). What is the units digit of k(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u + 16 - 16)*((1 + 3 - 2)*(1 + 2 - 5) + 5 - 4 + 5).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43751557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*l**2 + 106*l**4 - 2 + 106*l**4 - 211*l**4)*(-1 - 2 + 4) in the form u*l**3 + t + o*l**2 + w*l + p*l**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from {k: 2, c: 1, y: 2, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.951941nm to meters.\nAnswer: 0.000000008951941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 + 101*m - 76. Let o(f) = 3*f**2 + 33*f - 25. Let s(g) = 8*o(g) - 3*q(g). Let x be s(-13). What is the greatest common divisor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12*h = -24, 0 = -3*g - 2*h - 4762 + 4734 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = v, 0 = 4*q - q + 5*v + 5. Let x(l) = -l**2 + 5*l - 4. Let j be x(3). Let u(s) = -j - 2*s + q*s - s. What is u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*t = 174*t + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2 and -199\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536502 + 1938.41?\nAnswer: 1538440.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 - (-80 - -32) - -26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56033, 63539, 71047, 78557, 86069, 93583?\nAnswer: 101099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340093.\nAnswer: 13, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5969, -11925, -17879, -23831, -29781?\nAnswer: -35729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from ezuziebeebnb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*w + 44. Suppose 0 = -2*j + 1 + 17. Let b be 102\/j - (3 + (-33)\/9). What is the greatest common divisor of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/7777 and 48\/49.\nAnswer: 54439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 24*m + 9 = 0. Solve l + m*w + 8 = 0, 5*w = 19*l - 20*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4048*i + 11346*i - 3647*i - 3647*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-34 + 4) - 6) + -44?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Let a be 4\/6 - y\/(-6). Let c be a\/(3\/2 + -1). Solve 5*t = c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/3318 and -1\/58?\nAnswer: 96222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -29 + -25 + 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/220 and 11*(-16)\/(-264) + (-388)\/240?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**6\/3 + 2*c**5\/5 - c**4 - 9. Factor z(f).\nAnswer: 2*f**3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2003, -2211, -2779, -3887, -5715, -8443, -12251, -17319?\n\"Answer: -30*q**3 + 2*q - 1975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21266 and 332630?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5 - 3. Suppose l - 6 = -c*l. Solve 0*s - l*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19869*g**5 + g**4 + 2*g**3 + 273414*g**2 wrt g?\nAnswer: 1192140*g**2 + 24*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/99)\/j**5)\/(j**19)**(2\/87) assuming j is positive.\nAnswer: j**(-15667\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 9*m**2 + 7*m + 9. Let j(l) = l**3 - 10*l**2 - 24*l + 8. Let d be j(12). Determine o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -946.76 + 912. Round h to 0 dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.6537228ms in weeks?\nAnswer: 0.000000110207875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 491 + 140. Let x = -89 + u. List the prime factors of x.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -12. Sort x, 0.03, -0.4 in decreasing order.\nAnswer: 0.03, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1538, 6173, 13898, 24713, 38618, 55613, 75698?\n\"Answer: 1545*g**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from pzgulgglldlp?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/618, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/9 + 8*q**4\/3 + 26*q**3\/9 - 392*q**2\/3 + 1127*q\/9 = 0. What is q?\nAnswer: -7, 0, 1, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 13. Let g(b) = 9*b - 27. Let p be (-5)\/2*42\/35. Let x(s) = p*g(s) + 7*u(s). Let w be x(7). Is w >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2.2. Let r = 5.711 + -6.9115. Let h = r - t. Round h to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - 1) + 14 + -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 115*y + 1069. Give s(105).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 28326000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose -4*n - 4*i - 32 = 0, -n + 3*i - w*i = -2. Let m(r) = -6 + 3 - 2*r - r. What is m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3167 (base 8) to base 16.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*m**3 - 21*m**2 + 4 - 14*m**2 + 41*m**2 to k + i*m + g*m**3 + f*m**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 148, -26, 2, -5 in increasing order.\nAnswer: -26, -5, 1, 2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 8\/(-12) + 92\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y - 3. Let v(t) = 5*t + 2. Let q(l) = -3*v(l) - 2*w(l). Let h(g) = -4*g + 3*g + 2*g. Determine h(q(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1547100097 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1179 = -1292*w + 1301*w. Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*r**4 - 3*r**3 + 228*r**4 + r**3 - 4*r**3)*(-3*r - 6 + 6).\nAnswer: -27*r**5 + 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 13*k + 20. Let m be a(11). Let b = m - 39. Suppose 16 = b*d - 2*f - 0*f, -3*f - 6 = 0. Solve 4*x = -5*n + 8, 3*x - d*n = -10 - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4786.825 centimeters to micrometers.\nAnswer: 47868250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 466*b - 16*b**2 - 466*b + 5*b**2 - 656*b**4 - 58*b**2 wrt b.\nAnswer: -15744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 355 = -161. Let w = 88 - u. Solve -3*n = 6, -a - 2*n - w = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 127 + 257)*(-17 + 17 - 27*m).\nAnswer: -891*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.1 + 44.1. Which is the third biggest value? (a) i (b) 3 (c) 3.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 9*a**3 + 2*a - 77*a**3.\nAnswer: -86*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 - 8 = r, -26 = -4*r + 2*l. Suppose -12*d = r*d + 3759. Put -3, 5, d in descending order.\nAnswer: 5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 188*y - 939\/5.\nAnswer: -(y - 939)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1414*u**3 + 2*u + 2. Let b be z(-2). Let i = b - -135851\/12. What is the common denominator of -63\/4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11641866 is divided by 2910464?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(sqrt(68) + sqrt(68)*-1))\/(sqrt(576)*2))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 2\/3*w**2 + 1\/6*w**4 + 0*w - 2\/3*w**3 + 3. Factor n(s).\nAnswer: 2*s*(s - 2)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 13 - 7 = -1. Suppose 5*r - 11 = r + u, 1 = u. Sort r, 0, 1, c in increasing order.\nAnswer: c, 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -73. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3*x - 2 + 2)*(7 + 9 + 34*x + 4 - 26).\nAnswer: -102*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -46 - 284*p + 11 + 18 + 17. Let g(s) = -11*s. Give r(g(l)).\nAnswer: 3124*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54533053 divided by 13?\nAnswer: 54533053\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 26, -0.3, 2\/23, 5.\nAnswer: -0.3, 0, 2\/23, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 2, s: 1, r: 1, a: 2, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000436834 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2 + -18)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1969.75 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 598 - 596. Put s, 3, -84, -2 in ascending order.\nAnswer: -84, -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggwggyyvygygyywgyg. What is prob of sequence vgg?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, 13, 115, 321, 667, 1189, 1923, 2905?\n\"Answer: 6*c**3 - 2*c**2 - 2*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1980\/120*-3*20\/225*(3 + -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5945, 5, -2.\nAnswer: -2, 5, 5945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -n - 1, 5*z - 10*n = -6*n - 5. Let g(i) be the second derivative of -1\/18*i**4 + 2\/9*i**z + i**2 + 3*i + 0. Factor g(p).\nAnswer: -2*(p - 3)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.1 - -4.1. Let n = b + 27. Let o = 13.9 - n. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = -i. Let n be (-1)\/(2*i\/4). Which is the nearest to n? (a) 4 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.2, -1, -2\/3, -46 in descending order.\nAnswer: 8, -0.2, -2\/3, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0.5, 4\/3, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1124, -2112, -2972, -3704, -4308, -4784?\n\"Answer: 64*a**2 - 1180*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -8*r + 813. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v - 5*u + 25, 0 = -3*u + 12. Let m be (v - 0) + -2 + 3. Calculate the lowest common multiple of (2\/(-5))\/(m\/(-10)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.17 (b) -0.2 (c) -2 (d) -2\/11317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-3162))\/((-3)\/18)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83346 - -9001255\/108. Calculate the common denominator of a and -77\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0 + 24\/7*g**2 + 16\/7*g + 12\/7*g**3 + 2\/7*g**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 6*d - 8. Let a be (-4)\/(-3) + (-32)\/(-12). Suppose 3*m = a*u + 39, 2*u - 7*u = 3*m + 15. What is l(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60370 - 35558. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*q - 186 = 28. Suppose 5*c = 6*c - 24. Suppose 2*v = 56 + c. Calculate the least common multiple of v and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*4*-3 + -4*((sqrt(432) - (sqrt(432) + -4*sqrt(432) + sqrt(432))) + sqrt(432)))**2.\nAnswer: 338688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -21. Let g be (-6)\/(-63)*3 + t\/21. Let n be (-2 - -3 - g) + 1 + 20. Solve 3*u + u - n = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 37 - 75. What is the remainder when 102 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let d be 11\/1*-5*6\/(-30). Suppose -1 = -2*j - s, 0 = -j + 4*s - 2 - d. Let u(c) = 6*c**2 - 3*c. Determine j*u(q) - 3*g(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 95\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.00559 (b) 1\/23 (c) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x - 43*x - 2*x + (-1 - 2*x + 1)*(4 - 3 + 0) in the form y*x + r and give y.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, n: 2, o: 1, w: 4, q: 1, x: 1}. What is prob of sequence oxrq?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.674 - 0.026. Let m = 0.3 - u. Let z = m - 21. What is the closest to z in 1, 1\/4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**3 - p**2 - p + 1. Let q be c(1). Suppose 17*w + 26 = 148 - 54. Solve -q*v + 4*s = -2, -w = v + 3*s - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 2*o - 8, -2*o - 2 = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 56252475.\nAnswer: 5625247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2116000\/3 + 188600*p + 205*p**3 + 84845\/6*p**2 + 5\/6*p**4 = 0. Calculate p.\nAnswer: -115, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 + -139.3. What is the nearest to 1 in 2\/17, o, 6, -1\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -1, 4\/3, -0.5, 4 in decreasing order.\nAnswer: 4, 4\/3, 2\/45, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.71127 - 0.28873. Let d = 9.77 - -0.23. Let o = -6 + d. What is the second smallest value in -4, -5, o, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttytsctstsccxsc. What is prob of sequence ycxs?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396728 + 241561 = 75*n - 666861. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 2. Let a be z(-2). Find the third derivative of 6*w**2 - a*w**2 - 4*w**2 + 2*w**5 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -9 + 0 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.72235 and 0.365.\nAnswer: 4.64365775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = -r, 2*h - 15 = 3*r - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 79 = -5*v - 14*d, -v = -4*d - 19. Is v at most as big as -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)*o)**(-1))**(-12)*(o**(1\/4)\/o*((((o\/((o*o*o\/((o**1\/o)\/o*o)*o*o*o)\/o)*o)\/o)\/o)\/o)\/o)\/(o**0)**(-1\/87) assuming o is positive.\nAnswer: o**(23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 98333?\nAnswer: 98333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/119))**36\/(v**(-9)\/(v*v*v**17)) assuming v is positive.\nAnswer: v**(7544\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 278*t + 85*t - 432 + 193*t + 7*t**2 - 70*t**2 + 4*t**3 - 65*t**2 = 0.\nAnswer: 1, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**4 + f**3. Let u(z) = -z**4 + 5*z**3 - z**2 + 9. Let g(k) = u(k) - 4*v(k). What is the third derivative of g(q) wrt q?\nAnswer: -216*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198251643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 171*j**2 + 5*j - 569. Determine r(-57).\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2774 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g*g\/((g*g**(-1\/7)*g*g)\/g*g))**(-31\/4)\/((g*g*g**1)**(-20))**31 assuming g is positive.\nAnswer: g**(12741\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - -0.11. Which is the closest to 0? (a) k (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3*(-6)\/(-4). Suppose -a*o + 1 = 2*q, -6*q = -q + 5*o. Let z = 9 - q. Solve 4*k + z = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 - 3*r**2 + 3*r + 3. Let w be 4\/5 - 192\/(-60). Let m(h) = 8*h**3 - 4*h**2 + 4*h + 4. Calculate w*x(b) - 3*m(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, 23, 5\/4, -831 in increasing order.\nAnswer: -831, 1\/3, 5\/4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 3*n - 4*x, -25*n - 2*x + 996 = -20*n. What is the greatest common factor of n and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 divided by -7.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4734648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5 + 204*u**4 + 85*u**3 - 62658*u**2 + 361660*u + 424200 = 0?\nAnswer: -202, -21, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 18*z + 1406, 301420*z - 224 = 5*p + 301423*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2364 - 2368. Put -3, -368, 0.5, w in descending order.\nAnswer: 0.5, -3, w, -368","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 126 + 7*n + 0*n + 63*n - 14*n + (-2 + 3 - 3)*(-2*n + 2*n - n))*(1 + 3 - 2)*(-4 + 3 - 1).\nAnswer: -232*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 18. Let q be ((-24)\/(-16))\/(2\/(-4)) + (70 - 72). Let w(x) = 2*x + 37. Calculate q*a(f) + 3*w(f).\nAnswer: f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -872 or -130\/49?\nAnswer: -872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-276) + (-4)\/6. Do -2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7557 - 7063.3. Round p to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -16*d**3 + d**2 + d + 1. Determine k(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/4 + v**3\/3 - v + 37. Let w(d) = -3*d**2 - 2. Calculate 2*i(p) - w(p).\nAnswer: 2*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*t + 1061 = -271 + 20 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -1.2. Let u = 7 + -9. Let v = f + u. Put -1\/7, 2\/9, v in ascending order.\nAnswer: v, -1\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by -49?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igigggiiiii. Give prob of sequence igi.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 3\/5 (b) 2\/7 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13 - 2 = 0. Suppose -4*j = x*j - 147. Let v = 14 - j. Let p(z) = z**2 + 7*z - 6. What is p(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.18 plus -9787951668?\nAnswer: -9787951674.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - 0. Suppose 4 = -2*f + 5*v - t, 5*v - 5 = 0. Let g be (f\/3*0\/4)\/1. Let l(m) = -m**2 + 4. What is l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/3 + 97900*v + 293706 = 0.\nAnswer: -3, 146853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3\/(-6))*14278\/(-2596)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 42 = -3*d - g, -5*d + 70 = -5*g. Suppose -4*f + 3*r = -f - 6, 2*f = 5*r + 4. Suppose f*a - 61 = -7. What is the highest common factor of d and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28141618 and 2?\nAnswer: 28141618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44919427?\nAnswer: 7, 157, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**3\/6 + 5*u**2\/2 - 4*u. Let v be z(-5). Solve -x + 2 = -v*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (90 - (-131 - -121)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3042*i**4\/7 + 36816*i**3\/7 + 11632*i**2 - 8640*i\/7 + 32 = 0.\nAnswer: -2, 2\/39, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = -75*s - 720 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 4*f**2 + 3*f. Let b(o) be the second derivative of 3*o**5\/20 - 7*o**4\/12 - 7*o**3\/6 - 2*o. Let x = -82099 + 82092. What is x*l(i) - 4*b(i)?\nAnswer: 2*i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9250689*h - 8168569?\nAnswer: 9250689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101011011000001101010 (base 2) to base 8\nAnswer: -5330152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -828 + 853 + 1 + -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 1\/1 + -1. Let r(x) = 4*x + 61. Let z be r(-12). What is the common denominator of z\/32 + 1 - f and -59\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 0 = -7*g + 52, 13 = 2*m + 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 - 90*g**4 - 550*g**3 - 1340*g**2 - 1365*g - 490 = 0. Calculate g.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.5 (c) -88 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107295111 by -7.\nAnswer: -15327873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 267520*x**2. Let o(k) = -30*k. Determine d(o(b)).\nAnswer: 240768000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = r + 1, -5*r - 25 = -5*q. Let u(a) = -2*a - 9. Let h be u(-7). Let c = h - 3. What is the least common multiple of c and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/139709?\nAnswer: -3\/139709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25928464*f**2 - 549936*f + 2916 = 0. Calculate f.\nAnswer: 27\/2546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*j - 4*q, -5*q = -3*j - 43 + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4266)\/1185)\/(-3*4\/(-30)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - 316. Let x be (13756\/19 - (4 + 1))\/1. Let o = x + a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-15 - -21) + -24 + 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 6, x: 5, n: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/15))\/(z**6\/z*z)*((z*((z*z**(1\/3)\/z)\/z*z)\/z*z)\/z)**(1\/82)*(z**3\/(z**(-3)\/z))\/(z**(-2\/15)\/z**(-7)) assuming z is positive.\nAnswer: z**(-1229\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 1, b: 2, h: 1, m: 4}. Give prob of picking 1 c and 2 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsttna. Give prob of picking 1 s, 1 a, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21228.6118 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -13*v**2 + 369*v + 108. Give m(28).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q**3 - 20*q**2 + 2*q - 162. Let o(d) = -31*d**3 - 40*d**2 + 3*d - 325. Let w(b) = 5*c(b) - 3*o(b). What is the second derivative of w(t) wrt t?\nAnswer: 168*t + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 2 - -10 - 47 - 14\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/2, 5, -44, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112))**2*-6 + (sqrt(1792)*-2)\/sqrt(4) + 2 + -5*(-1*sqrt(112)*-5 - sqrt(112))**2.\nAnswer: -9630 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + l = 20, 5*v + 0*l = 3*l - 100. Let h(z) = z**3 + 3*z**2 + 2*z - 4. Let y be h(-3). Let i = y - v. Solve -3*s = -s - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 150*a - 3. Let v(y) = 157*y - 4. What is -7*v(r) + 8*w(r)?\nAnswer: 101*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 209 (c) 185 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 16. Let a = 16 + -10. Let h be (-1)\/a*t\/(-1). What is the closest to -1 in -1\/7, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 22*i**2 - 2 + 18*i - 24*i**2 to f*i**2 + c + s*i and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 810.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okoofooeoooh. What is prob of sequence fko?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(-2*u**3 + u - u) + u**2 + u**3 - u**2 + 6*u**2 + 0*u**3 - 4*u**3 + 5*u**3 to the form n*u**3 + z + q*u + g*u**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 101*x + 91 = 0. Which is bigger: 1\/7910 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) + -1 - sqrt(363))*3)**2 - (sqrt(363) + -2*sqrt(363))*-1) + 1.\nAnswer: -11*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 772 - -1?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 - 4*k**2 - 5*k**2)*(2*k**3 - k**2 + k**2 + 2*k**2 - 2*k**2 + 2*k**3 + (-6*k + 3*k + 2*k)*(k**2 - 1 + 1)).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u**3 - 380*u + 380*u)*(2*u + 2*u - 6*u) - 2*u**4 + 5*u**4 + u**4 + u**4 + 1 - 1.\nAnswer: 35*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*l. Suppose -4*q + 2*q + 2198 = l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67007.29682 to the nearest ten.\nAnswer: -67010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.7. Let u = 17 - 16.97. Let z = -0.97 - u. Sort z, -2\/13, a.\nAnswer: z, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + -1*sqrt(832) - (2 + -1 + sqrt(832)))*-4)**2.\nAnswer: 12288*sqrt(13) + 215296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5)*v)\/(v\/(v\/v**(-1\/3))))\/((v**(-1)\/v)\/(v*v**(-1)*v)))**3 assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2. Let y(x) = -2*x**2 + 113. Determine t(y(f)).\nAnswer: 20*f**4 - 2260*f**2 + 63845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 734, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -21, -17, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r + r)*(-2*r**2 + 2*r**2 + r**2) + 0 - 6*r**4 + 0 + 3*r**4 - 4*r + 4*r.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 + 54*u**4\/5 + 51*u**3\/5 - 12*u\/5 = 0. What is u?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1931 + -1942.61. Which is the smallest value? (a) -2\/7 (b) 1\/6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -9709617\nAnswer: -330126978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -124 (b) -1473 (c) -1 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22024, -44052, -66080, -88108, -110136, -132164?\n\"Answer: -22028*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Let s = -11 + 21. Suppose 4*q - 2 = s. What is the remainder when c is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let k(b) = 60984217*b**2. Give k(d(u)).\nAnswer: 60984217*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 + m - 2. Let w(c) be the first derivative of 13*c**4\/4 - c**3\/3 - 2*c**2 + 7*c + 25. Let t = -1 + 3. Determine t*w(h) + 7*u(h).\nAnswer: -2*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 487, 418, 293, 82, -245, -718?\n\"Answer: -5*c**3 + 2*c**2 - 40*c + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + 6*u + 2. Let h be y(-6). Suppose 45*l = 46*l + 2*i - 8, 5*l = -i + 31. Solve h*z = 5*o - 13, -2*z + 2*o - l + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.1 - -54.9. Let g = y - 18. Let f = 47 - g. Which is the closest to f? (a) 2\/7 (b) 3 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s**2 + s - 3. Let b be w(3). Suppose 8*u - 3 - 5 = b. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57072 divided by 8.\nAnswer: 7134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 660920872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 - 3*w**2 - w + 10. Let g(j) = 4*j**3 + 4*j**2 + j - 9. Give -4*g(s) - 5*l(s).\nAnswer: -s**3 - s**2 + s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034331 rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6314\/(-18) + (-6)\/27. Let o be -2 - -6 - 576\/3. Let t = o - a. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-10)*((-6)\/4 + 1). Find the second derivative of -14*n**2 + 10 + h*n**3 - 2*n**3 - 27*n**2 + 11*n**2 - n wrt n.\nAnswer: -12*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f - 2*u, -u - 5 - 10 = -2*f. Let n = 3 + -6. What is the smallest value in 0.059, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 46. Suppose -2*p + 23 = 5*z - 31, -z = -2*p - 18. What is the remainder when x is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 0) + (-60)\/3. Let s = -24 - j. Let a = 1.7 + 0.3. What is the biggest value in s, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/20 + g**4\/2 - g**3\/6 - 2*g**2 - 5*g. Suppose -5*d + 6 = -24. Calculate x(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44144 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09319666689 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.3 and -0.749.\nAnswer: 39.1727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27666326115.2 from 5.\nAnswer: -27666326110.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Suppose -67 = l*a - 292. Suppose 4*x - x = a. Solve -2*h - x = -5*g - 4*h, -5*g = -3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -294, -5033, -17908, -42987, -84338, -146029, -232128?\n\"Answer: -678*a**3 + 7*a + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 3, l: 1, a: 1, t: 5}. Give prob of picking 1 l, 1 a, and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/2, -2\/17, 1\/5.\nAnswer: -3\/2, -2\/17, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 128*w - 5. Let k = 12 + 11. Is o(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 60 + 35. Suppose -13*u - 316 + 69 = 0. Let s = u + m. Solve 4*w = -s*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(100 + -107).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 1426*k - 1432*k = 132, 3*q + 2*k - 5*k - 135 = 0 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-2 + -4)) + -28 + (23 - 22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzdd when four letters picked without replacement from {z: 3, d: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + p + 5. Let d be u(-4). Factor 13 - 4*h**2 + d - 12*h - 14.\nAnswer: -4*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -18*g**4\/11 - 17608*g**3\/11 - 39066*g**2\/11 - 25380*g\/11 - 3904\/11 = 0.\nAnswer: -976, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3*s**3 - 17042*n**3*s**2 - 3*n**2 + 509*n*s**3 wrt n.\nAnswer: 6*s**3 - 102252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82731904 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 19*f - 18. Let z be c(-9). Let n = 485 - z. What is the highest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25388177 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 118*v + 217. Let p be u(38). What is the highest common divisor of p and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1357672 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/17 + 4*s**2\/17 - 8*s\/17 - 16\/17.\nAnswer: 2*(s - 2)*(s + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)*(y*(y*y**(-2))\/y)\/y*y*y*y**2\/y**(-2\/15) assuming y is positive.\nAnswer: y**(173\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 32 = -12*a. Let j(n) = 2*n - 4*n + a + n. Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Let v(u) = u**3 + 6*u**2 + 2*u + 8. Let b(a) = a**3 - 3*a**2 - a - 3. Let l be b(3). Let j be v(l). Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -90260461\nAnswer: -5\/90260461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.2 - -12. Let m = -16 + 25. Let r = m + d. Which is smaller: r or 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-5))\/((-20)\/(-8650)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*((-504)\/(-315) + (1 - -9)). Solve 18 = -8*s + b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15698 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 38313\nAnswer: -68\/12771","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -50653 = -28245*w - 1003960 + 105957 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = 4*g, 2*g + 6 = 5*c + 3*g. Suppose -3*y**c - 1 - 3 + y**2 + 0*y**2 - 6*y = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:40 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 4*n**3\/3 + 3*n**2\/2 + 12*n - 23207. Let a(t) = 9*t**2 + 7*t + 24. Suppose 2 = u - 1. Determine u*a(l) - 7*m(l).\nAnswer: -l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = t + 5*x - 221, -5*t - 4*x + 1084 = 0. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -k + 2733, -v + 6 = 2*v. Is 33 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllzbllzzflzfllflll. Give prob of sequence zzzz.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 13*v**2 - 9*v - 11. Suppose 0*g = -4*g + 8. Let s = 113 + -105. Let m(y) = 2 + g*y**3 + 7*y**2 - 7*y + 2*y - s. Calculate -6*i(a) + 11*m(a).\nAnswer: -2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v + v)*(-22 + 22 + 12*v**2) + 0 - v**3 + 0.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/60 + 5*j**2. Let b(c) be the second derivative of 3*c**3\/2 - 3*c. Calculate b(q(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/2218638441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-488 + -2)*(-144)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -23 in descending order.\nAnswer: 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-700)*7\/(-84). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2037 * 33.\nAnswer: -67221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-200)*(-4)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9117141*c - 9117139*c + 5 = -b, 5*c = 4*b - 58 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.56 + 2.74. Let y = s + -1.3. Let r = y + -14.044. What is r rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbtb. What is prob of sequence bt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 0)\/((-1)\/(-8)). Let x be (-24)\/v + 14\/(-4). Put 1, -2, x in ascending order.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 7) in base 5?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 24. Let b(t) = 5*t + 4. Determine b(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -125.99999921. Round b to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1864 = -1817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.57 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15971047*n**2 - 15971054*n**2 + 1 - 2 + 31942091*n**2.\nAnswer: -10*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (27*74\/3996*28*3)\/1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:41 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9974 - -268.\nAnswer: 268.9974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j - 4. Let f be t(5). Suppose 4*m - 40 = -m. What is the greatest common factor of f and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 3*r - 3. Let h = 264 + -374. Let c = 112 + h. Let y be 3 + (-3)\/(c + -5). Determine g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*c + 2 - 411*c + 771*c - 3 + 27*c.\nAnswer: 1352*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 263535, 263489, 263419, 263331, 263231, 263125?\n\"Answer: w**3 - 18*w**2 + w + 263551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.024085\nAnswer: -0.024085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/2))\/(h*h\/h**(-18))*(h**(1\/7))**(-4\/11) assuming h is positive.\nAnswer: h**(-3011\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 22\/7, -3 in increasing order.\nAnswer: -3, -4\/3, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 27*s - 165 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y. Let z = -13 + 15. Let p be (-31)\/z*(-2 + 0). Let w(k) = -p*k**2 + 18*k**2 + 15*k**2. Give i(w(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 3. Suppose -3*s + 2*x + 1 = 0, -5*s - 35 = -18*x + 22*x. Calculate n(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 7 + 7 + 33*z**2.\nAnswer: -2*z**3 + 33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*m - 6, 71*q = 74*q - 4*m - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94, -542, -1640, -3676, -6938, -11714, -18292, -26960?\n\"Answer: -48*t**3 - 37*t**2 - t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 103, -5, 271?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 + 2*v. Let i = -23 + 19. Let a(z) = 3*z**2 + z. Determine i*s(l) + 7*a(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*t + 0*t - 3 = 0, v - 5*t - 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3529414713?\nAnswer: 3, 11, 163, 656147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z + 8. Let u be w(5). Suppose 0 = u*x - 62*x - 24. What is the units digit of (-272)\/x*6\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 5, c: 3}. Give prob of sequence acya.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 92 = 88. What is the remainder when z is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*a + 12 = 0, s - 3*a + 9 = -0. Put -5, 5, s in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-5 + 20)) + 16 + 1 + 64.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9))**(-13\/5)\/(m**(-13\/6)*m*m\/((m\/(m*m\/(m\/(m**(-2)*m)))*m*m)\/m)))**(-32) assuming m is positive.\nAnswer: m**(-12272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4462187 is divided by 557771?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kik when three letters picked without replacement from {k: 7, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450*k**5*q**2 - k**2*q**3 - 2*k*q**3 + 443*k*q wrt k.\nAnswer: 9000*k**3*q**2 - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384.1906369 - -2869893349.8093631. Let r = c + -2869893990.0000394. Let b = 256 + r. Round b to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2706 is divided by 270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddkdkkdgkdkd. Give prob of picking 3 k and 1 d.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:32 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.1 (b) -0.5 (c) -23736\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + -1978\/11. Let l = 11027.88 - 11028. Which is the nearest to -3? (a) l (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 25 - 281985*z + 281996*z)*(-z - 3*z + 3*z) to the form m + d*z + s*z**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 339631056 a multiple of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.8 + 27. Let y = 1663.4 - 1665. Let d = -4288\/15 - -286. Which is the closest to y? (a) d (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15587\/(-130) - 32\/320)*(-3)\/(-9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 139*o - 17 = 138*o, o - 149 = -37*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26045964 to the power of 1\/2, to the nearest integer?\nAnswer: 5104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8558913 days in weeks?\nAnswer: 0.8365559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 4 (c) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 3, y: 7}. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxbbxbbxbxfbx. Give prob of sequence bf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1827*l**4 - 321*l.\nAnswer: 21924*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1857600, 7430408, 16718422, 29721642, 46440068?\nAnswer: 66873700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1322*y - 4896 + 930 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -266 * 17\nAnswer: -4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/(-51) - (-2)\/(12\/26). Put r, 1, 2 in increasing order.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**2 + 11*z**2 + 0*z**2 + 6*z**2 - 21*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 1 + -13 + 21. Suppose 2*k + 332 = 6*k. Suppose 0*y + 5*y + 4*g - 155 = 0, -k = -m*y + 5*g. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 2010*s**2 - 23977*s + 8. Give m(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/20 + 27*t**2. Let g be (10\/(-20))\/(2\/(-12)). Let r(a) = g*a**2 + 48 - 48. Calculate i(r(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/i**(-3\/8))\/(i**(-7)*i*i\/(i\/i**(-1\/2))) assuming i is positive.\nAnswer: i**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000196007 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152 - 10*11\/(55\/(-4)). Factor -190*m - z*m**2 - 75\/2*m**3 - 40.\nAnswer: -5*(m + 2)**2*(15*m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65*c**3 - 42*c**3 + 153*c**3)*(0 + 2 - 3) to d*c + h*c**3 + k*c**2 + y and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147504 and 672.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -443\/13 + 66776\/1963. Let f = -106\/755 + w. Which is the closest to 1? (a) -0.77 (b) 5 (c) -0.3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.411 + -0.523. Let i = z + -0.188. Which is the nearest to 1? (a) 1\/7 (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 2*x**4 - x**4 + (10*x**3 - 9*x**3 + 9*x**3)*(2 - 6*x - 2) as n + v*x**2 + j*x + a*x**3 + y*x**4 and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -16000395?\nAnswer: -112002765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 957 and 69223?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 184*r**3 - 20*r**2 - 2 - 20*r**2 + 40*r**2 - 2*r in the form w*r + z*r**2 + a*r**3 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*o + 1 = 15, 0 = 5*o + 5. Suppose x*g - 16 = g. Solve g*l = b - 3, 3*b + 4 = -2*l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g + 21. Let k be ((-1 + 3)*2)\/(-6 + 4). Let a(t) = -t**3 - 3*t**2 - 5*t - 6. Let l be a(k). Calculate s(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1 - (-5 + 1). Solve 0 = -4*o + m*g, g - 2 + 1 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -38*q - 1. Let d be z(-1). Let i = -21 + d. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*n**3 - 189296*n**2 + 325941344*n wrt n.\nAnswer: -600*n - 378592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632879693?\nAnswer: 11117, 56929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 + 11 = 0, x = -3*j + 348. What is the remainder when j is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 - d**4 - d**4 + (1 - 4 + 4*d + 2)*(2*d**3 + 3*d**2 - 3*d**2))*(30*d - 40*d + 24*d).\nAnswer: 140*d**5 - 28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 - x - 1. Let h be b(1). Let t(m) = -8*m**3 - 6*m + 4. Let n(q) = -q**3 - q + 1. Calculate h*t(a) + 6*n(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 12:45 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*b = 6 + 9, 4*b + 9 = -3*v. Let j be (0 - (-2 + 2)) + v + 19. Let f = 0 + 4. Calculate the greatest common factor of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 18 = 2. Let q(z) = y*z - 9*z + 0*z. Let n(v) = v. Let m(b) = -2*b. Let c(w) = -3*m(w) - 4*n(w). Calculate c(q(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:43 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 13*n**2 - 10*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78261877 is divided by 790524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -2, -27, -1\/92034?\nAnswer: -1\/92034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (21\/(-12) + 2 - (-39 + (-1133)\/412)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 954761 or 954762?\nAnswer: 954761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 430*i**2 - 432*i.\nAnswer: 2*i*(i - 1)*(i + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 8. Suppose -q + 30 = -2*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 - 56*p + 26. What is the units digit of f(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 36. Give k(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*q + 381*q = -6993 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 6*d + 6. Let w be t(-6). Let i(j) = 5*j**2 + 3*j**3 + 0*j**3 - 4*j**3 + 6*j + 3. Let h be i(w). Solve h*r = r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:37 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*z + 546 = 222*z + 5030 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2768349*g**2*r - 67*g - 441*r + 24 wrt g?\nAnswer: -5536698*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t**(-1\/6))\/((t*t**1)\/t)**7*t**(-1\/3)\/t**(5\/6)*((t\/(t\/t**(-2\/3)))\/t*t)\/t*t\/(t*t**(2\/9)) assuming t is positive.\nAnswer: t**(-359\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1481, 4, -0.5, -0.49, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/24 + 4*w**3 + 9*w**2. Let t be q(24). Solve t*i - 12 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:46 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*d + 3*x + 3, 0 = -5*x - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -1510?\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1164 + -1147. Suppose u - 114 = y, 0*u + 2*u + 5*y - 235 = 0. Calculate the remainder when u is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183261 is divided by 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89842 + -359367\/4. Factor 1\/4*r**3 + 1\/2*r**2 - a*r - 1\/2.\nAnswer: (r - 1)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-26820)\/(-5130) + (-480)\/90?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.6 - -15. Let s = n + -2.45. Let g = s + 0.05. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 19. Suppose 84 = 5*j - 3*j - h*a, 164 = 3*j + 2*a. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111623+270891\nAnswer: 382514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - -1. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**3 - 78*s**2 - 183*s - 92. Let y(c) = 12*c**3 + 76*c**2 + 186*c + 94. Let k(v) = 7*w(v) + 6*y(v). Determine u, given that k(u) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50344.2017 - -50347. Let x = -2.8 + h. What is x rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/1972827, -0.4, -11\/2?\nAnswer: 2\/1972827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 + r**2 + 0*r**2 + r**3 + 4*r - 3*r to j*r**2 + u*r + l*r**3 + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.209784 and 64.\nAnswer: 269.426176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5 = 2*g + 33, 2*g + 10 = -y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/1872*-26)\/(6\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 2. Let p(r) = -5*r**2 + r - 8. Let y(j) = 3*k(j) - p(j). Let m(c) = c - 1. Determine 2*m(s) + 2*y(s).\nAnswer: 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*s - 24*s = -12609950000. Round s to the nearest one million.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 20. Let g be j(16). What is the closest to 1 in -0.5, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 28*o**2 + 1793*o - 3711. What is p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdcrcddhcdrrd. Give prob of picking 1 r, 2 c, and 1 d.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8729134 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 237394356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9438?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(-20))**(5\/3)*((v**(2\/7)\/v)\/v**2)\/(v\/(v*v**(-4\/3))*v*v\/((v**(-6)*v)\/v*v)*v) assuming v is positive.\nAnswer: v**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042231 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2 = -5*k, 4*z + 3*k - 8 = -k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvrrvrrvvvrvrvrvvrr. What is prob of sequence rrvr?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18840405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhofzod. What is prob of sequence zo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**3 - 3*g**2 + (-2 - g**2 + 2)*(4 - 4 + 2*g))*(-3 + 1 + 1)*(-1 + 7 + 2*g**2 - 5 + 30*g).\nAnswer: 10*g**5 + 150*g**4 + 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**2 - 7*h - 87. Let m(u) = -2*u**2 - 2*u - 29. Give -2*k(y) + 7*m(y).\nAnswer: -2*y**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119224 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -100.1668 and -1.\nAnswer: -101.1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40\/930*(-39)\/(-26)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-162603)\/(-34104) + 19\/(-4)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24244523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 2. Suppose -15 = -5*p + 5. Suppose 4 = -5*y + c, 5*y + 2*c - 4 - p = 0. Let u(m) = 3*m - 1 + 0 - 2 + y*m. What is 8*g(d) - 5*u(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 29*q + 2. Let d(b) = -2727*b - 189. Let a(z) = 2*d(z) + 189*x(z). Let n(o) = -o**2. Determine n(a(u)).\nAnswer: -729*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*n - 103853 = 80107. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 51*n + 290. Calculate a(43).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 2. Let t = 12 - q. Suppose -5*r = -5*w + 5, 0 = -6*r + 2*r + t. What is the highest common factor of w and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0089 + -4.0089. What is the third biggest value in 8, f, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 839 - 844. Let y(w) = 3 + 3*w - 3. Let f(x) be the third derivative of 5*x**4\/24 - 7*x**2 - 27*x. Determine j*y(m) + 2*f(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -727850? (a) -4 (b) 1\/3 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 6*v**2 + 4*v - 17. Let a be x(-7). Let b be (1\/5)\/(-5 + 6). What is the second biggest value in a, 1\/2, b, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let g(j) be the second derivative of -65*j**4\/12 - 1954*j. What is a(g(t))?\nAnswer: -8450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3*(-7)\/1)*-3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -46. Let u be 0 - 1 - (-2)\/3. Let w be 0 - (-2 + (-9)\/(-4)). Which is the nearest to w? (a) u (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33453140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453476?\nAnswer: 2, 73, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 23. Suppose d = 6*h - 2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*(-7300)\/600)\/(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = 4*g - 20*k - 194908, -3*g = 2*k - 146178. List the prime factors of g.\nAnswer: 2, 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38375, -38253, -38147, -38057, -37983?\nAnswer: -37925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n*n)\/(n\/(n**(4\/7)\/n))*(n**3)**(-19) assuming n is positive.\nAnswer: n**(-388\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 29. Let p be 7 - s - (-2 + 2 - 0). Solve 5*a - b + 17 = 0, -b + 0 = a + p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g + 2*g**4 - 1 + g**2 + 0 + 2 + 5*g to the form q*g**3 + x*g**4 + o*g**2 + b + t*g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 3*d**2 - 6*d + 6. Let v be k(2). Let i be (-3 - (-100)\/12)\/(v\/(-285)). Calculate the greatest common divisor of i and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 0 - (1 - -4 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11874750?\nAnswer: 2, 3, 5, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1744 - -2463. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 55 + 4*n + 3*n - 58 + n. Give i(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t. Let d(k) = 373 - 184 + 16*k - 190. Give l(d(p)).\nAnswer: -64*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + (sqrt(112) - 3*sqrt(112))*2) + (2*-2*sqrt(112) - sqrt(112)*4*1))**2.\nAnswer: 96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37448*n**2 - 59590*n**2 + 22144*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + 5 + (-6 - -14). Let d(j) = 2*j - 18 - o - 45 + 24 - 27. Let u(m) = -2*m**2. Calculate d(u(c)).\nAnswer: -4*c**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + 5*q**3\/3 + 2*q**2 - 6*q + 166. Calculate v(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, t: 1, f: 2, i: 4, k: 2, b: 1}. Give prob of sequence fk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 52*h**2 - 63*h - 465. Calculate the smallest common multiple of 18 and x(-51).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012871407 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 239 = -5*c, -191 = -4*c + 3*o - 0*o. Let p = 1294136 - 1294042. What is the greatest common divisor of p and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*w**3 - 214*w**3 - 24*w**2 + 110*w**3 + 11*w - 7*w + 2 in the form o*w**3 + x + p*w**2 + j*w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 3*c**2 - 1. Let l be v(-2). Let t be 5*l\/15*10. Calculate the highest common factor of t and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1363*w - 158*w - 13*w as a*w + g and give a.\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-60)\/(-16))\/((1287\/26)\/11)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.3678 and -0.3.\nAnswer: -16.31034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21191957.923538 - -21191920. Let p = 39.8935477 + c. Let k = -1.97 + p. What is k rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 9*f**7\/7 + 7*f**3\/3 - 9. What is the third derivative of q(m) wrt m?\nAnswer: 1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 4 - (2 - -1). Let b be ((-10)\/6)\/(2\/c). What is the second derivative of 2*g - 4*g - g**3 + 5*g + b*g**3 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97aa (base 11) in base 6?\nAnswer: -135534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -21*y - 13. Let w be 1881\/27 + 1\/3. Let j = w - 66. Suppose -5*p = 4*k + 69, j*k - 3*p - p + 24 = 0. Let v(h) = 11*h + 7. Determine k*v(i) - 6*s(i).\nAnswer: 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*a + 21, 0*a = a + 1. Let g(t) = t + 35. Let l be g(0). Suppose l = d + q*d. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32853944.8 to the nearest 100000.\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1179 by 1.\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 24*l - 54. Let f be q(-30). Let t = 400 - f. What are the prime factors of t?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 4 + p**2 + 3*p + 2 + 0. Let g be w(-3). Let y = -9 + g. Solve 0 = -4*q - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 1105 = 1125 - 2000 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 32 = 8. Let z = 301 + x. Suppose 3*w - 189 = -0*b - 2*b, 5*w = -2*b + z. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a = 194*a + 2774 + 3701 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65387\/2 + 327327\/10. Factor -t + 24\/5*p**2 - 42\/5*p - 2\/5*p**3.\nAnswer: -2*(p - 7)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 27374380*g - 468347925240250.\nAnswer: -2*(g - 34217975)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppvvfppvvd. Give prob of sequence vvfd.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 570389932 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2676871278 - 2676870807.99999648. Let g = 470 - w. What is g rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 2. Let k be q(0). Let n be -3 + 0 + k + 27. Let d = n - 13. What is the greatest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -58807542.77423?\nAnswer: -58807544.77423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let s be (-4)\/(1*(-2)\/3). Let z(g) = 2*g + 3*g**2 - 2*g - s*g**2. Give u(z(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (-60)\/50*((-40)\/6 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215086036?\nAnswer: 2, 11, 4888319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/42*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((0 - -8) + (-14 - 5) + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4410*i - 455. Let v(u) = -58*u - 6. Determine 6*r(b) - 455*v(b).\nAnswer: -70*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1581*3*(-3)\/9. Which is smaller: j or 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804\/451*34\/(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-15))\/(((d**(-13)*d)\/d)\/d) assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -19*i**4 + 56. Suppose 4*y = 5*l - 53, 3*y - 4*l + 34 = y. Let w(r) = 6*r**4 - 19. Let s(h) = y*w(h) - 2*k(h). Differentiate s(a) wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 642.896 and -0.052.\nAnswer: -33.430592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 83 = 5*a - 26, -5*a = 25. Let c(y) = -y**3 + 9*y**2 - 13*y + 9. Determine c(l).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411 + -159. Let d = -354 + l. What is the remainder when 12 is divided by d\/(-14) + (-4)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 72 = 2*z, -5*z = m + 3*m - 183. What is the common denominator of -3*z\/(-63) + (-64)\/66 and -19\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 3*t**2 - 1. Let p(c) = 4*c**3 + 4*c**2 + 1. Let o(k) = 2*p(k) + 3*z(k). Give o(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-10) - (-18)\/(-30). Let k be ((-40)\/30)\/(v\/6). Is k less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-2 - 1 - -4 - 369). Calculate the greatest common factor of q and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1825563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 255 = -5*w. Suppose 29*m - w = 32*m. Let r be 1552 + (m\/(-3))\/(-3). Round r to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 84042900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6070 divided by -4\nAnswer: -3035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from cdsycfq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3\/3 - 10*l**2\/3 + 95*l\/3 + 100\/3.\nAnswer: -5*(l - 4)*(l + 1)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, -14, 7, -93, -32 in decreasing order.\nAnswer: 7, 5, 3, 0, -14, -32, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 433 + -643. Let i = -142 - d. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -50347492 divided by -101918\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = k. Let f = k + -7. Let a be (-16)\/(-12)*9\/6. Solve 6 = -3*m - f*g, a*g + 11 - 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3560 and 249520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, 3, 6 in descending order.\nAnswer: 6, 3, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 7 + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 253*r - 34. Let x be f(2). Suppose -478*v + 12 = -x*v. Solve v*o - 3 + 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/162102875 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1269923 and 0.49.\nAnswer: -622262.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)\/z)\/(z*z*z*z\/(z**(-11)\/z)))**32 assuming z is positive.\nAnswer: z**(-864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = i + i + 21, 3*q - i = 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 3*t**2 - 9*t - 2. What is z(-4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -0.5. Let l = u - -0.7. Let p = 0.4 + 0.1. Which is the closest to l? (a) p (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 224\/72813?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 570*c - 510*c - 569160. Calculate the smallest common multiple of 4 and c.\nAnswer: 18972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -13. Suppose -2*d - 5 = -d, b*d = y - 11. Solve -a = -y + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/10)\/(64\/(-768)). Let r(s) = -8*s - 25. Let w(b) = -9*b - 26. What is l*w(i) - 7*r(i)?\nAnswer: 2*i + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r + 220 - 652. Calculate the least common multiple of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d - 45. Let c be r(4). Let v = 84 - 80. What is the closest to -1\/3 in v, 5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7282642 kilometers?\nAnswer: 728264.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7292 - -8408. Calculate the least common multiple of y and 248.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:45 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/9 + (-104)\/156 + 41\/3. Let m(f) be the first derivative of 0*f**2 + 22 - i*f**3 - 23*f. What is the derivative of m(z) wrt z?\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**4 - 2*z**3 - z**2 - 2*z - 1. Let r(o) = -15*o**4 + 12*o**3 + 75*o**2 + 18. Let w(v) = -18*m(v) - r(v). Factor w(k).\nAnswer: -3*k*(k - 4)*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8859 = 3*g + 2*z - 8869, g + 2*z + 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.72254 millennia in decades?\nAnswer: 4272.254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f - h + 2, -4*h = 3*f - 13. What is the remainder when 8 is divided by f\/(4\/10 - (-22)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*q = 5353, w + 3*q = 481 + 600. Is w a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + 23*b**4\/24 - 7*b**3 + 39*b**2. Let y be j(18). Suppose y - 102 = 3*c. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1256 + 1272. What is the smallest common multiple of r and 11?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2731*k - 605. Is q(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from aszauix?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c**(-23\/2))\/(c\/c**(2\/13))**(1\/62) assuming c is positive.\nAnswer: c**(-1013\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2916 and 1741581?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 13. Let r = 3 + l. Let o = r + -0.9998. Round o to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-1)\/(4\/(-4))). Let q be 5\/20 - a\/(-4). Solve 0 = -5*h - 5*z + 5 - 0, -5*h - 3*z = q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.28384284799 and 4?\nAnswer: 3.71615715201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10 + 9*d**3 - 11 + 4 + 4*d. Let h(w) = w**3 + w. Let x be (1\/(-3)*-3)\/1. Let o(g) = x*c(g) - 4*h(g). Differentiate o(u) with respect to u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.999999421 + 10. Round i to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(605)*2 + 5 - sqrt(605)) + 4)*-6.\nAnswer: 216 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 0*z**4 - z**4)*(1 + z - 1 + 5 - 5 + z + (-4*z + 3*z + 0*z)*(-5 - 2 + 6) - 16*z + 67*z + 33*z).\nAnswer: -174*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435548626.\nAnswer: 2, 717774313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/2271418465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -54) + 0 + -37.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 0)*(-55)\/(-5). Let p be 22\/b - 150\/(-22). Calculate the greatest common factor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d**3 + 25*d + 23. Determine y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1936844 divided by 1252?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*(n*n*n**6*n)\/n*n*n)*n**2*(n*n**(-2\/7))\/n**(-2))\/(n*n**8*n**(2\/11))**(-3\/32) assuming n is positive.\nAnswer: n**(-8439\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7252453 divided by 3?\nAnswer: -7252453\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 8. Let n = -4.578 + -0.022. Let p = n + 0.6. What is the nearest to -1\/2 in s, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:38 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 117 * 13215\nAnswer: 1546155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 4*p**2 - 4*p - 2. Let t be r(-3). Let q(m) = m**2 - 4*m**2 - 3*m - t + 0*m. Let y = 1816 + -1818. Give q(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 + 3*k - 6. Let r(p) = -2*p**2 + p - 3. Let w(n) = -6*f(n) + 14*r(n). Suppose w(a) = 0. Calculate a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**6\/30 - 5*r**4\/6 + 5*r. What is the third derivative of t(m) wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 4. Let k be n - (-5 + (-1 - -3)). Let t(r) = -r**3 + 3*r**2 + 4*r + 4. Give t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 14*o**5\/5 + 8*o**2 + 22. Find the second derivative of g(w) wrt w.\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 83055?\nAnswer: 664440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1767, -5, -1 in increasing order.\nAnswer: -5, -2, -1, 4, 1767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/18353720 and -19\/3304.\nAnswer: 18353720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -576*b**2\/5 + 28804*b\/5 - 40 = 0.\nAnswer: 1\/144, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12204 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 5*l - 9*l - l + 3*l.\nAnswer: 12*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {y: 3, f: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {p: 1, z: 12}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178106*c**3*n + 470*c**3*z**2 + 9*c**2*n + 3*c**2*z + c*n*z**2 - 2*n*z**2 + 3*n*z - 4*n + 82 wrt c?\nAnswer: 1068636*n + 2820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680 = 55*f - 123*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/4 + (-6)\/(-12). Suppose 5*b + 10*f = s*f + 1464, -280 = -b + 3*f. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*h = -19, 21 + 104 = 3*g + 2*h. Let d = g - 25. Calculate the smallest common multiple of d and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10*t - 20. Suppose 2*n = 3*n - t. Which is the third smallest value? (a) n (b) -3\/8 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*11554\/(-1417) - -4\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llku when four letters picked without replacement from {l: 7, u: 2, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1807 + 1754.\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 15, w: 4}. What is prob of picking 2 k?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 49?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b**(4\/3))**(-24) assuming b is positive.\nAnswer: b**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 8*a**2 + a - 11. Let g be l(8). Let c be (2\/g)\/(5\/45). Let k(w) = 13*w + 4. Let b(v) = -7*v - 2. Give c*k(t) - 11*b(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11046226*j**3*k*l**3 + j**2*k - 24*j**2 + 7*j*k - 356*j*l**3 - 5*k*l**3 wrt j.\nAnswer: -66277356*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 2*z**2 + 2*z + (0 + 0 + z)*(-2 + 1 + 3 - 3*z).\nAnswer: -5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23160 by -5790.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(((-228)\/4465)\/(6\/20)) and -101\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*b**2 - 230*b**2 - 433*b**2 - 343*b**2 - 3 + 2*b - 80*b**2 as n*b**2 + v*b + x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3816, -15522, -35090, -62520, -97812, -140966?\nAnswer: -191982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 0*b**4 + 7 + 1\/3*b**3 + 2*b**5 + 0*b + 0*b**2. What is the third derivative of h(m) wrt m?\nAnswer: 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 557 - -16b?\nAnswer: 6c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyg when three letters picked without replacement from {y: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 take away 3320?\nAnswer: -3282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = 4*x - 0*a, 0 = 5*x - 3*a - 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 - 2*b**2 + b**2 - 4*b**3 - 3*b - b**2 - 7. Let i(f) = 3*f**3 - 3*f**2 + 2*f + 6. Let v(z) = -3*i(z) - 2*r(z). Factor v(s).\nAnswer: -(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/2 - 5*h**2\/2 - 27*h. Suppose -5*j + 20 = 4*m, 2*m - 6 + 2 = -j. What are the prime factors of t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500)*-3 + (sqrt(500) - (sqrt(500) - 1*sqrt(500)*-4)))\/((-1*sqrt(576) + sqrt(36))*6).\nAnswer: 35*sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2105 - 148. Let z = y - 623. Suppose 1108 = 3*t + k, -3*k + z = 4*t - 135. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-576)\/(-336)*7\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001511 rounded to 7 decimal places?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12305421 + 11?\nAnswer: 12305432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*w + 3*w. Suppose -5*v + 5*v - w*v = 0. Let t be 3\/(-2)*(1 + 1). What is the third biggest value in -0.4, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -2*g**5\/15 + 16*g**2. Let y(f) = f**2. Determine j(y(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -78 + -5?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - k - 1. Suppose 0*d + 5*d = -5. Let w be t(d). Suppose 0 = -4*m - 3*v + 30, 0*m + 34 = 4*m + w*v. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:42 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -10*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 2:11 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gye when three letters picked without replacement from {y: 2, g: 10, z: 1, t: 2, e: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 11, 19?\n\"Answer: 8*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001943535701 to 7 dps.\nAnswer: 0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:50 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:21 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2736) + -3 + (2*sqrt(2736) - sqrt(2736)) + (4 + sqrt(2736) + 2)**2.\nAnswer: 168*sqrt(19) + 2767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 1445?\nAnswer: -18\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -53. Let d(c) = -7*c - 28. Let r be d(a). Solve 3*f - 5*o = f - 9, r = -3*o + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 536 (c) -2\/11 (d) -142 (e) -2\/557 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, -0.059 in decreasing order.\nAnswer: 2, -0.059, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304328888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**3 - 6*f**3 + f**3)*(7 + 3 - 9)*(-6 + 0 - 3) in the form o*f**3 + w*f**2 + c + n*f and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 - ((-11 - -1) + 95 + -71 + -23).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 331060887\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5 + 0*l + 2*l + 47 as p + s*l and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1*(-1)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 5*o - 3. Let c be a(2). Let m(u) = -5*u + c*u**2 + u**2 + 0 - 3 + 3*u. What is the remainder when m(-4) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.2. Let n = 81536 + -81534. Let h = -3 - 0. What is the nearest to h in n, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - -10 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose p*v + t = -3*t, -t = 3*v. Solve d = -v*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -19*p**9\/252 + 11*p**5\/60 - 12*p**2. Find the third derivative of z(v) wrt v.\nAnswer: -4560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 9.63. Let d = -16 + 25. Let a = d - y. Sort a, -2, 5\/2 in increasing order.\nAnswer: -2, a, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10118095 and 390.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - 3*h**3 + h**2 - 3*h**3. Let c(q) = -q**3 - q**2. Let y(r) = -5*c(r) + x(r). Find the third derivative of y(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1886.622 times 0.074\nAnswer: 139.610028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -509.4, 0.4, 4, 29, 2\/11, 1 in descending order.\nAnswer: 29, 4, 1, 0.4, 2\/11, -509.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17190\/70 - 3*(-1)\/7 is divided by 70?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 408*p**3 + 24*p**2 + 23*p - 9. Let g(u) = -204*u**3 - 11*u**2 - 11*u + 4. Let t(y) = 4*b(y) + 9*g(y). What is the third derivative of t(i) wrt i?\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - (-2 + 1)) + 7. Suppose k - g - 153 = 0, -2 + 10 = 4*g. Suppose -3*i + 8*i - k = l. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -2\/367 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129296.8 + -129297. Suppose 4*l - 3 + 7 = 0. Put 0.7, b, 4, l in decreasing order.\nAnswer: 4, 0.7, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(65) - (-1*sqrt(65) + sqrt(65))))\/sqrt(5)*-3.\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 29, 39?\n\"Answer: 10*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 2*w - w)*(2*w - 2*w - 4*w + (4*w + 0 + 0)*(3 - 7 - 3)) as g*w**2 + q*w + j and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/198 and 123\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2281 + 2261 + 3396*p - 99*p - 4542)*(2 - 8 - 4).\nAnswer: -32970*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*r + 101*m**2*r - 14*m**2 + 3*m*r + 4*m - 2*r wrt m.\nAnswer: 12*m*r + 202*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180942 and 1065168?\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r - 13. Let c be g(-4). Let n = 19 - c. Is n\/(-26) + 620\/26 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(156))\/(sqrt(48)\/(2*sqrt(4))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001694645 rounded to five dps?\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*o - 5*t, t + 8 = o - 4*t. Suppose -o*z = -4*z. Solve 3*a - 4*a = z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73024647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*d**3 + 292*d + 7*d**2 + 1589*d**3 - 7*d**2 + 2.\nAnswer: 1334*d**3 + 292*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.16 + 0.04. Let y = g - 24.2. Let l = y - -20. What is the nearest to 0 in 1\/2, 3, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o + 1\/15*o**6 + 0 + 0*o**5 + 0*o**4 + 0*o**2 + 1\/2*o**3. What is the second derivative of k(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p. Let k(n) = -17*n**2 + 3*n. Let l(o) = -273*o**2 + 51*o. Let s(u) = 33*k(u) - 2*l(u). Give s(y(z)).\nAnswer: -240*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14219)\/(-184847))\/(101\/(-39)).\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - p + p + 0. Let i(y) = -3002*y + 0 + 0 + 3001*y. Calculate i(s(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*m - 6 = 2*b + 261*m, -15 = -4*b + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyvooo. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*s - 1. Let j(n) = -n - 5. Let i be j(-7). Suppose -i*t - 4 = 0, 2*d - 15 = 2*t - s. Solve -h = g - 1, d*g - 2*h - 8 = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8075 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.622 - 0.822. What is the nearest to -1 in 0.4, 5.6, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 665, 999, 1333, 1667, 2001?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -583*k - 1. Let q be v(-1). Suppose -q = j + 3*j + 5*m, 721 = -5*j - 3*m. Let z = -95 - j. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, b: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**3 - 1444*l**2 - 54*l + 17. Let k(u) = -2*u**3 - 481*u**2 - 19*u + 6. Determine -17*k(p) + 6*w(p).\nAnswer: -2*p**3 - 487*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 - (6 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + u + 42. Let l be k(0). Determine q so that 13*q**2 - 18 + 15*q**2 - l - 5*q - 23*q**2 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 29*x**4 + 7*x**2 - x**4 + 0*x**4 - 5*x**2 + 0*x**4 in the form h*x**3 + a*x**2 + u*x**4 + v + t*x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 200*m + 2003. Let d(n) = 3*n**2 + 200*n + 2002. Let f(u) = 3*d(u) - 2*l(u). Factor f(a).\nAnswer: 5*(a + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333836?\nAnswer: 2, 83459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5 - 5)*(-3 + 5 + 0) + (-1 - 2 + 1)*(5*a - 2*a - 2*a) - 4*a + a + a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131*j**3*m - 26871*j**3 - 79*m wrt m?\nAnswer: -131*j**3 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124453 + -4?\nAnswer: 124449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192783.\nAnswer: 3, 179, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.282 and 0.5?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + 0*j + 138 = 4*j, -6*g + 4*j - 36 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413224 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 30663 = 151731. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q**(-2\/9)*q))\/(q**(-1))**(2\/103)*(q*q**1)**(-34)*(q**1\/q)\/q**2 assuming q is positive.\nAnswer: q**(-63739\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7182\/1680 - 1\/(-8))\/(4\/(-10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*j - 2*v - 20, -3*v = 4*j + 16. What is the nearest to j in 5, -5, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d - 13. Let l be a(-9). Calculate the common denominator of (14\/(-10))\/((-8)\/l) and -35\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 4)*(0 + 0 + 4*a).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1026 (base 7) to base 15.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*f + 104, 3*g + 33 = 2*f - 9. What is the remainder when 361 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7)\/x*x**(-7))\/((x*x\/(x**(-3)*x))\/x*x\/x**(-7)))\/((x**0)**(-17))**(-7\/9) assuming x is positive.\nAnswer: x**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -4*p - 2*n, -751*p - 6*n + 259 = -752*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 7) to base 5.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -31*f + 202. Let t(u) = -37*u + 203. What is 6*c(w) - 5*t(w)?\nAnswer: -w + 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 131*d\/3 + 17161\/6.\nAnswer: (d - 131)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102727407*p**2 - 16*p - 1367764 wrt p.\nAnswer: 205454814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 w when three letters picked without replacement from wwtwhtwwwtwht.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -60380548 >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -b + 169, -5*y + 561 = 4*b - 47. Let s = b + 91. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aap when three letters picked without replacement from aadaaadaaddadaadpd.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -8. Let f = 21 - -18. What is the remainder when f is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*i**5 + 6136*i**3 + 57*i**2 - 2*i - 1036 wrt i.\nAnswer: -9300*i**2 + 36816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12131956 divided by 3032989\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357386845?\nAnswer: 3, 5, 11, 443, 32251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 - 201. Let m be t*(168\/(-18) - -9). Solve -3*y + m*k = -4*y - 9, 0 = y + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57311\/4626 + 0 + -12. Let x(h) be the second derivative of 2*h**2 + 19\/9*h**3 - 14*h - a*h**4 + 0. Determine m, given that x(m) = 0.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 5. Let i(q) = 5 - 3*q + q - 9. Let v(b) = 5*i(b) + 4*k(b). Let n(y) = -y. Calculate n(v(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -27. Let p be ((-4)\/(-16))\/((-5)\/v). Let z be (-2)\/(-4) - -6*12\/16. Is z less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.01 + -0.01. Let k = q - 36.0071. Round k to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 85*c + 22. Suppose 7*q - 9*q + 4 = 0. Suppose -3*x = q*x, -5*x = 2*n - 8. Does 41 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1301*c + 653*c + 11 + 650*c. Let a(w) = -2*w. Calculate q(a(h)).\nAnswer: -4*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2741*u - 1374*u - 1369*u + 1 - 1.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w**(-1\/2)))\/w*w)*w)\/w)**44\/(((w**(-1\/2)\/w*w)\/w*w)\/(w**(-1\/4)*w))*(w**0)**(1\/2)\/(w**0)**(-1\/39) assuming w is positive.\nAnswer: w**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14686536?\nAnswer: 2, 3, 611939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 7*n + n**2 + 13 + 0*n + 2*n. Let m be i(-6). Suppose 0 = -335*v + 348*v. Solve v*x - x = -m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 56*y + 5220. Let p be a(51). Calculate the greatest common divisor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8 - (4 + (-12682)\/(-4)). Is j at least -3175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -613*p - 9. Let c(s) = -1228*s - 15. Let k(b) = 3*c(b) - 5*q(b). Let w(g) = -2*g**2. Determine w(k(z)).\nAnswer: -766322*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9256934?\nAnswer: 2, 109, 42463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 17 + 14 + 49*p + 8 + 5 + 0.\nAnswer: 49*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (12\/3 - 8) + (-13 - -20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 + 4124933*n\/2 - 2062466 = 0. What is n?\nAnswer: 1, 4124932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -124*n**2 - 8*n - 8. Let k(y) = 41*y**2 + 3*y + 3. Determine -3*c(a) - 8*k(a).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.77611 to two decimal places.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -15 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**2 + 3. Let f(z) = 24*z**2 - 10. Suppose 2*d + 14 = 4*i, -i = 4*d - 6*i + 22. Give d*f(m) - 10*p(m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 15*o**2 + 30*o - 114. Let i be p(13). Sort 5, i, -4 in decreasing order.\nAnswer: 5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7*o)**(-1\/17)*(o**(5\/3)\/o)**(-7\/4))**(3\/13) assuming o is positive.\nAnswer: o**(-167\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 115*h**2 + 239*h - 228. Determine z(113).\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (-39 - -34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + (-137)\/(-156). Let c = w - 6\/13. Let l be (6\/(-3))\/(0 - 5). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -139. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37501 * -0.5.\nAnswer: -18750.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -4. Suppose m*w - 3*w = 75. Suppose g + h - w - 20 = 0, 4*h - 287 = -3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/34 + 14\/187. Calculate the common denominator of 23\/14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150656 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -12202?\nAnswer: 12154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(2 + 0 + -3) - -780 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.19, 1, 2, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1130*x - 9297. Let l(n) = 977*n + 9296. Let t(s) = -2*l(s) - 3*z(s). What is the first derivative of t(j) wrt j?\nAnswer: 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 1\/315*m**7 + 1\/60*m**6 + m**2 - 1\/18*m**5 + 0 + 0*m + 0*m**3 - 1\/504*m**8 + 1\/18*m**4. Factor o(v).\nAnswer: -2*v*(v - 1)**3*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*i + 160 + 160 = 0, -i = -5*x + 320. What is the highest common divisor of x and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k + 5. Let m(o) = 5*o + 2. Suppose 244 - 84 = -104*q + 72*q. Calculate q*m(p) + 2*x(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1773\/5 in -12, -4\/3, -2\/13, 153?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2012095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 22. Suppose -2*v + 26 = -0*q + 5*q, 4*v = -q + h. Let l(n) = -n + 17. Let x be l(5). What is the highest common divisor of x and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 25006728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -19. Let v = j + 14. Solve -2*d + 2 = v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612659.5 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.02 - -3.22. Let f = -30 + 92\/3. Which is the closest to f? (a) l (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*o - 6 + 0 + 6 as r*o + c and give r.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-2*2*(-4)\/(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/5 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 8.21?\nAnswer: -7.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k - 5*q - 0, -1 = 2*k + 3*q. Let m(r) = 9*r - 1. Give m(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12511260 (base 7) to base 5.\nAnswer: -243131020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/105788 and 77\/274.\nAnswer: 14492956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9419955 or 9419954?\nAnswer: 9419954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221.571 + -0.429. Let u = -222.2 - i. Are u and 76 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34300 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -4*a - t, -4*a = -5*a - 3*t + 51. Which is smaller: 35 or a?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, 64, 381, 824, 1393?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107765 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -7*a**5\/10 + 1491*a**2 - 1. Let f(q) = 34*q + 2. Calculate d(f(g)).\nAnswer: -48552*g**2 - 5712*g - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 8*b**3 + 21*b**2 + 18*b.\nAnswer: b*(b + 2)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42194647127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.5 + 6.5. Let r = g - 23.5. Round r to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*d + 8*d + 0*d.\nAnswer: 75*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgg when three letters picked without replacement from gggzgzzzgzzggzgzzgzg?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -47*m**2 - 2. Let o(c) = -9*c**2 - 8*c - 4. Let h(w) = -20*w**2 - 18*w - 9. Let f(v) = -4*h(v) + 9*o(v). Give b(f(q)).\nAnswer: -47*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -53. Suppose i = m + 4. Find the third derivative of 12*w**4 - 4*w**4 - 29*w**2 + 0*w**m - 2*w**4 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.496 - 66?\nAnswer: -65.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 842\nAnswer: -45\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 4. Let g(k) = -17*k. Determine g(v(r)).\nAnswer: 68*r - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174436374?\nAnswer: 2, 3, 7, 593321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrurrurrr.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and 5981.2.\nAnswer: 5965.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 134*b**3 + 144*b**3 + 1693*b - 277*b**3 - 3 + 1.\nAnswer: b**3 + 1693*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4 - 27\/20*o**5 + 0*o**2 + 2*o + 0*o**3 + 17. What is the third derivative of a(q) wrt q?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27117.87 days?\nAnswer: 2342983968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Let m(x) = 2*x - 7. Let l be m(k). Solve 4*g - l = 2*t - 11, 4*t - 16 = -g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 18 + -1 - 10) + (0 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 825 - 904.04. What is g rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqrvbmmrbvrqqrjr. Give prob of sequence mj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1.65\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - f - 3. Let p(t) = -3*t**2 + t - 2. Let x be -3*(1 - (-20)\/15*-1). Let a be p(x). What is i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8. Suppose 0*t = -4*t. Solve o = -t*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(2736) - 6*(sqrt(2736) + ((sqrt(2736)*2)**2 - sqrt(2736))))*1.\nAnswer: -65668 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 47 = -f, 146*i - 149*i = -f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose b*y = 2*y - 5*p - 77, -3*y + 107 = p. Suppose c + y = 3*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/5 - 30808*s**2\/5 + 237283216*s\/5 = 0.\nAnswer: 0, 15404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (10 + 5 + 5 + -13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81586*b**2\/9 - 652684*b\/3 - 32 = 0.\nAnswer: -6\/40793, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2)*15\/2. Let m = 31 + g. What is the smallest common multiple of 10 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -18. Let a be (0 + n\/3)*3. Let j be (-7)\/(-3) - (-1)\/(-3). Solve -g = a + j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 * 18343\nAnswer: 385203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6663 - -6666. What is the closest to 3\/4 in 17, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 + 6 = 0. Let v(k) = 99*k**2 + k - 2. Let q be v(b). What is the second derivative of q + 0*d**2 - 98 + 7*d**2 - 10*d wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5459*g + 2*g**2 + 4 - 6.\nAnswer: 2*g**2 + 5459*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 26*p**2 - 1 + 1 to v*p + h + o*p**2 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyxyyxgxyyg. Give prob of sequence tgty.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f = -137*f - 9*f - 254*f - 107*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*w + 258. Suppose 2*b + w = 4*b + 2*a, 5*b + a = 85. Suppose -4*i + 2*f = -b, -5 = -5*f + 5. Solve -j = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23 - -23)\/(1 + -2 + 2). What are the prime factors of 133 - 2*(n + 1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - 4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8492 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4896635 and 33\/6855289?\nAnswer: 34276445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z - 1. Let d(l) = 6*l**2 + 4*l + 316. Let h(s) = -d(s) + 6*k(s). Find the first derivative of h(c) wrt c.\nAnswer: -24*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -p - 18, -5*b = -5*p - 15. Suppose -25 = -p*g + 3*f, 2*g + 29 = 4*g + f. Let l = 18 - -8. What is the remainder when l is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 11*l - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717514 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*i**2 + i**2 - 11*i**2)*(5*i + 0*i - i) + 1 - 2*i**3 - 1.\nAnswer: -130*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*l - 8867 + 8883, -l = 5*t + 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114\/35 - 248\/77. Suppose 3*o = -2*o + 3*o. Is h < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 6*h**2 - h - 1. Let u be -6 + (1 + -1)\/(-3). Let i be q(u). Suppose -l = -2*k + 30, i*l = -4*k + 24 + 36. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 28*x**2 + 9*x + 9. Let s be l(-1). Calculate the highest common factor of 924 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 5*p, 0 = 5*n + 7 - 22. Is 20 a factor of (103 - 5) + 0 + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*r + 411*r = -96. What is the greatest common divisor of 16 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 4*k + 150 = 0. Let f = -33 - k. Let u be 2\/3*(-5 - f). Solve 2*q - u = 2*p + 4*q, p - 5*q - 17 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(14\/(-4) - -1). Let r be 107\/35 + 84\/(-1470). Sort r, v, 2, 13 in descending order.\nAnswer: 13, r, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 533.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqfvfmfmsftsfss. What is prob of picking 1 m and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9749 - -117101\/12. Find the common denominator of v and -54\/905.\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211 - 31?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.465946 + 6.478. Let r = o - 0.012. What is r rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/12 - 4*p**3\/3 - p**2. What is the units digit of d(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 274 - 129*o**2 + 759*o**2 + 274 as z + u*o + g*o**2 and give g.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14382*b + 301991. Calculate n(-21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 17\/18126?\nAnswer: 17\/18126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91, 36, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -125*i - 20420. Calculate d(-163).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 244.8942 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160341369 and 789.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*1*3\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 15 - ((-13 - -2) + -2 + (5 - 7))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, k: 2, h: 1, e: 2}. Give prob of sequence eh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57100000 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2456605.5000005 + -2456605. Let d = q - 0.5. Round d to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(612) + 1 + 2) + sqrt(612) + -2 + sqrt(612) + 2 + 2)*-5)**2*-5.\nAnswer: -709625 - 58500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 10*b - 54 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7845 divided by 75?\nAnswer: 523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.5. Let i = -1647 - -1651. What is the nearest to -0.1 in -0.4, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -179, -159, -127, -77, -3, 101, 241, 423?\n\"Answer: a**3 + 13*a - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-954 - -1055) + -7 + -7 + (-8 - -3).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02921 times 1?\nAnswer: 0.02921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367137.\nAnswer: 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4*d - 2. Let g be k(4). Which is the smallest value? (a) 3 (b) 2\/13 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - 36*u + 5798098 - 5797770 as h + p*u and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two ninths of a week in minutes?\nAnswer: 69440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 244503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - -17. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 5706?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 - u**2 - u + 10. Suppose 17*g - 20*g = 18. Let m(q) = -q**3. Let a(l) = g*m(l) + y(l). Determine a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 482*w**4 + w**2 + 75*w wrt w.\nAnswer: 11568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5685 + 5684.999997601. Round t to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 479 + -470. Solve -o = -n + l, -2*n + 0*n + 4*o + 28 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z + z + 5*z. Let h(y) = y. Give c(h(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 + 0 = 0. Let i(d) = d**3 + 6*d**2 + 3*d + 4 - 3*d**2 - 4*d. Does 3 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/(b**(-2\/5)\/b) assuming b is positive.\nAnswer: b**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947990?\nAnswer: 2, 5, 47, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, j: 4, m: 4}. What is prob of picking 1 h, 2 j, and 1 m?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -25*t + 4. Let f be v(0). Solve -b = -3*m + 11, -12 = -f*m + b + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -562887.10049 + 562883. Let i = 24 - 19.9. Let j = i + l. Round j to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.5. Let f = -141 - -145. Let u = f + -3.7. What is the second smallest value in -2\/7, 0.1, n, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:19 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -18. Let p = -16 - u. Let 9*t**p - 3 - 18*t - 21*t**2 + 3*t = 0. What is t?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + n - 1. Suppose 2*d + 15 = 7*d. Let h be a(d). Solve -5*s = -h*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 31. Suppose 3*o + o = v + 25, -4*v - z = -4*o. Let c = o + 2. What is the least common multiple of 3 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -457 divided by -1\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/20)\/(-5)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4639 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 27 = -3*y - 107, 10 = 5*y. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 7*i - 3. Let r(z) = -4*z**3 + 2*z**2 + z. Let o be r(-1). Let g be h(o). What is the highest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4069 divided by -4222\nAnswer: 4069\/4222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {h: 3, c: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 17)\/(-1)*(-25)\/(-75). Suppose 32*y + g = 29*y. Let l(o) = o**2. Determine l(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, b: 4}. What is prob of sequence bbtb?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 2*w. Let y be k(-2). Suppose -2*x - 4*a - 24 = y, 0 = 5*x - 3*a + 19 + 28. What is the tens digit of (-5)\/x + 38\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 6. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 28*l - 11. Let r be q(-3). Let g = -90 - r. Let j(o) = -o**3 + 14*o**2 - 12*o - 8. Let t be j(13). Solve -x + g*k = x + t, 3*k = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9219.56 - 9312. What is f rounded to the nearest integer?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8*r + 16. Let h(d) = -d**2 - 6*d + 22. Let n be h(-10). Let s be (8\/(-52) + n\/52)*-4. Solve -m + 2 = -r*v, -4*m + 6 = s*v - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = 5*p + t, 0 = 5*p + 4*t + 13. Let h be -8*(201252 - (-2)\/p). What is h rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 85. What is the remainder when v is divided by (-125)\/(-100) + 102\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13322603 - -132?\nAnswer: 13323035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 71.6. Which is the fourth biggest value? (a) -5 (b) -4\/7 (c) h (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 16 + 2*d**4 - d**3 + 16)*(23 - 23 + 8*d).\nAnswer: 16*d**5 - 8*d**4 - 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197945745.94 rounded to the nearest 1000000?\nAnswer: 198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 + 11*w - 11. Let k be t(1). Let q be (-2 - 3\/k)*(-3)\/1. Let r(i) = -i**2 + 2*i + 2. Determine r(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 + 0 = 0. Suppose 2*y = 3*r + 64 + b, -4*y - 4*r = -96. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/61 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10641 divided by -5\nAnswer: 10641\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14076*b = -14074*b + 4*t - 157 - 65, -3*b = 3*t - 174 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.92 + -1. Let b = -11.28 + 11. Let g = p - b. Do -0.4 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.66461.\nAnswer: 5.66461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*s - 0*s. Let x = s - 8. Calculate the remainder when 8 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.19 + -8.5\nAnswer: -55.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1069478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10452 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 2*z - 16, -6*f + 52*z - 19 = -10*f + 67*z + 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 8*k**3\/3 - 4*k + 344. What is z(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + 81372 - k**2 - 81372 + 39*k to n*k**3 + l*k + w*k**2 + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c. Suppose -4*b - 2 + 18 = c. Suppose -2*w - 3 = q, 0*w + 9 = -2*w - 3*q. Solve -2*f + b + 4 = w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-15)*18\/(-6)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66407.758 rounded to the nearest 10?\nAnswer: 66410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 3806 and 3847 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 162. Suppose 0 - 6 = -3*m. Let l(z) = -8 + 0*z**2 + 2*z - 8*z + z**m. Calculate l(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*u, -78*u = -3*d - 28*u - 22*u - 26*u + 115 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3611180284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.9 - 27. Let w = -0.43 + 0.23. Which is the closest to -3? (a) w (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w - 9. Let d(y) be the third derivative of 5*y**4\/24 - 2*y**3\/3 - 55*y**2. Determine -9*d(n) + 4*f(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 110 - 122 = 0. What is the least common multiple of 9 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -19*s**3 - 4*s**2 + 21*s + 42. Let q be f(-10). Suppose -2*d = -w + 6703, 2*d = -2*w - 5008 + q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*v - 301*v + 3821 = 18732 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 43\/2. What is the closest to -0.1 in -64\/5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -113.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-8))\/((-66)\/(-1056)). Solve 3*n - 15*j - 6 = -20*j, -n - r*j = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:01 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbbbbtbbbbbbbbbb?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0 + 0)*(2*v**3 - 4*v**3 + v**3) + 2*v**4 - 2*v**4 + 3*v**4 + v**4 - v**2 + v**2 + (-v**2 - v + v)*(-v**2 - 2*v**2 + 5*v**2).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(1\/6)*b)\/b*(b*(b\/b**2)\/b)\/b)**(-5\/21) assuming b is positive.\nAnswer: b**(25\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiqiqqoqqoiqiqq. Give prob of picking 2 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.0886, -10681, -0.4 in descending order.\nAnswer: -0.0886, -0.4, -2, -10681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1500, -3001, -4502, -6003, -7504?\n\"Answer: -1501*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517799.\nAnswer: 2517799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*j - 2379*j + 678*j + 90436 = 27766 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + h**2 + h + 5. Let y(n) = 20*n**3 + 8*n**2 + 110*n + 54. Determine 11*w(q) - y(q).\nAnswer: 2*q**3 + 3*q**2 - 99*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*q + 138, 5*l = 7*q - 3*q + 363. Let d = -73 + l. Solve 2*f + 15 = d*j - 3*f, -1 = -j - 4*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1244539287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 25718?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*n + 44*n + 44*n + 35*n + 4 + 19*n.\nAnswer: 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -65. Suppose -69 - 246 = -7*j. Let n = j + v. Solve -3*g + n = 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.06114 months in decades?\nAnswer: 0.0505095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53196887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**5\/5 + 30*b**3 - 207*b + 34. Differentiate p(o) wrt o.\nAnswer: 8*o**3 + 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.684635693 to four decimal places.\nAnswer: -0.6846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 5*a)*(-a**2 - a - 5*a**2 - a) + (1 - 1 - a**2)*(-2*a + 2*a - a).\nAnswer: 13*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/22)\/(27\/66*488\/1098)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49707000 rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36396*t + 19*v = 36395*t - 21, 4*t - v + 7 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58082026.\nAnswer: 2, 29041013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 + -3. Let x = -925\/8 - -21259\/184. What is the nearest to -2 in 0.2, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*q - 28*q + 139*q to b + g*q and give g.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8, 12\/7, -76\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 747 - 687. Let h = 193 - 43. Calculate the highest common factor of h and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 8 + 22. Let x(l) = l**2 + 5*l + 3. Let p be x(o). Which is smaller: p or 18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 + (-33488)\/6. Let i = 230\/2377 + 79806395\/14262. Let v = i + m. Calculate the common denominator of v and -61\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -1\/50*f**5 + 0 + 0*f**4 + 6*f + 1\/15*f**3 + 0*f**2. Factor k(a).\nAnswer: -2*a*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * -83139.\nAnswer: -3574977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57.1? (a) -0.4 (b) -2\/17 (c) 0.421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**3 - 76*c**2 - 488*c + 3707. Determine g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2208)\/(-36) + 2\/3.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.232 and -6.\nAnswer: -6.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68158628?\nAnswer: 2, 17039657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*-1*sqrt(500) + sqrt(500)).\nAnswer: -350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 552*u - 5868. Calculate i(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22429493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874, 1554, 2238, 2926?\nAnswer: 3618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1475.388 - 577744.19\nAnswer: -576268.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (207*c**2 - 55*c + 53*c - 56*c**2)*(-2*c + 3*c + 0*c) to the form r + i*c + y*c**2 + b*c**3 and give b.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4009 is divided by 569?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062 less than -11647896?\nAnswer: -11647896.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from ttuuuuuuuuuttuuuuuu?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75556037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 + -503\/3. Suppose -3*g + 134 = -0*g - p, 89 = 2*g - p. Let x be 3*(-3)\/(g\/(-10)). Which is the nearest to 2\/7? (a) x (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:55 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45519606?\nAnswer: 2, 3, 11, 229897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48390 is divided by 444?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 642*o + 22938. What is q(46)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/63)\/(54*(-27)\/(-6804))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*y - 10706 - 2053 = 3913 - 3475 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 157, 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*7950\/(-6625)*(-7)\/(-6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*p - 4, 3 = -4*u + p + 12. Suppose u*g - 4*n - 18 = 0, -2*g - n + 10 + 33 = 0. Calculate the least common multiple of g and 2\/17 - 938\/(-119).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.024 + -0.19. Let w = -0.014 - p. Let b = 6 - 5.5. Sort -2, w, b in decreasing order.\nAnswer: b, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*d - d. Let k = -3 + d. What is the remainder when (-126)\/(-90) + 916\/10 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24351472*31.\nAnswer: -754895632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 413711165?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**2 - 3*u. Let q(j) = -7*j**2 - 4*j. Let w(d) = 4*n(d) - 3*q(d). Let v(a) be the second derivative of -a**4\/6 + a - 5. Give w(v(k)).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2093\/(-4480) - (-6)\/10. Let j = -1\/128 + w. Is j != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 6*z**2 - 8. Let o(l) = -7*l**2 + 4*l**3 - 1087 - 1086 + 2164. Give 6*o(u) - 7*s(u).\nAnswer: -4*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 252007797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(76) + 5 + 3*((2 + sqrt(76))*-4 - sqrt(76)))**2.\nAnswer: 1176*sqrt(19) + 15337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 12*r - 10. What is the remainder when d(-9) is divided by 4\/2*3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 2*u - 1. Let x be g(2). Let c = -16 - x. Let f = 20 + c. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*r**3 + 21*r**2 - 1270.\nAnswer: -24*r**2 + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1008)\/(-27))\/(-16)*(-18)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i - 5 = -o, 5*i + 3*o - 11 = 0. Suppose -8675 = -k + i*t, 10 = -2*t + 2. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:18 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5775346 is divided by 326.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**4 + 2497*g**2 - 4913*g**2 + 2501*g**2)*(1 - 4 + 7).\nAnswer: 24*g**4 + 340*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 29*w**2 - 162. Let s(n) = n**3 - 44*n**2 + 243. Calculate -11*a(d) - 7*s(d).\nAnswer: 4*d**3 - 11*d**2 + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -317*f + 142 + 291 - 116 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 (base 9) in base 13?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 13*k + 200. What is the least common multiple of l(-9) and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3 = 4*f, -1 + 2 = -t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.956 - 0.044. Let z = -2 + 1.8. Which is the second smallest value? (a) z (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:45 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 108900 to the nearest 1000.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*s**2 + 68 + 21*s**2 - 2*s + 2*s - 70 in the form b*s**2 + f + c*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 641, 2697, 6155, 11039, 17373, 25181?\n\"Answer: 4*r**3 + 677*r**2 - 3*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 10 + (-3 - (11 + 6) - -105).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*x - 26 = 35, 2*k - 2*x = 62. Let t = 31 - 19. Calculate the common denominator of t and (3\/k)\/(2 + (-511)\/254).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4))\/q**(2\/5)*(q*q**1)**(-4\/11) assuming q is positive.\nAnswer: q**(-227\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6135 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*p**6*y + 260*p**2 - p + y wrt p.\nAnswer: -2640*p**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 11*g - 5 = 0. Let i = 104.7 - 111. Let f = i - -6. What is the second biggest value in -5, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Suppose -u - 3*v + 25 - 98 = 0, -l*u = -v + 365. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u = 78*u - 12. Let h(a) = -a**3 + 7*a**2 + 3*a - 8. Let z be h(7). Solve 5 = -u*q + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*n + 34, n - 45 = -3*c - 8. Suppose 0 = -2*z + k + c, 5*z + 4*k - 9 = 13. Suppose o = z*o - 80. Solve -32 = 4*q + 5*p, 3*p - 2*p = -4*q - o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2658459 to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007956131832 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -153\nAnswer: 5355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5861, 5864, 5867, 5870, 5873, 5876?\nAnswer: 5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -270\/12647?\nAnswer: -270\/12647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*h - 129. Let o = h - 20. Suppose -3*c - 29996 = -5*g - o*c, 0 = 5*g - 3*c - 30006. What is g rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, 3, 11, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12917370*q**2*w**3 - 99*q*w**3 - 2*q*w**2 + q*w + 649*w**3 - 2*w**2 wrt q?\nAnswer: 25834740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2033442 + -10?\nAnswer: 2033432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 5, h: 8}. What is prob of sequence kk?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 6:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (19 - 33)*(-2)\/(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65025 is divided by 3243?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = y - 0*y, -2*l = y - 4. What is the units digit of 9 + -3 + l*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 387 by -189.\nAnswer: -43\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 + 14*f + 2. Let t be c(7). Let d(r) = 2*r**t + 0*r**2 + 6*r**2 - 9*r**2. Let q(p) = -27*p**2. Give q(d(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/7 (b) 14.6 (c) 0.4 (d) 2 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 1\/15, -5, -5705\/83 in descending order.\nAnswer: 1\/15, -4, -5, -6, -5705\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -13. Let p be q + -3 + 4 - 0. Suppose 0 = l - 2*l + p. Solve -x = l - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*r**3 - 61300*r**2 + 2341845*r - 26316900.\nAnswer: 5*(r - 20)*(10*r - 513)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1*-76)\/((-528)\/261 - -2).\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3120, 3233, 3412, 3651, 3944?\nAnswer: 4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from mxmxmmmx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = -0*k, g + 2*k = 12. Suppose -g*t + 32*t = 180. Solve 0*b = u - 4*b - t, -u + 3*b + 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 59 + 24. Solve 4*k + a = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m - 12. Suppose 3*h - 24 = f, -f = -2*h - 6*f + 16. Let d be x(h). Calculate the remainder when 77 is divided by 42\/9*d\/14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 7, x: 5, b: 3, a: 2}. What is prob of picking 1 w and 2 a?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 - (2 - (14 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 0, 3*u - 2*y - 8 = -0. What is the lowest common multiple of 4 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17304, -17500, -17726, -17982, -18268?\nAnswer: -18584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11959 take away -110.5626?\nAnswer: 110.68219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142732501567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062886627 to five dps.\nAnswer: 0.06289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 7, e: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2 - 11.2. Let l = 6 + -5. What is the third biggest value in 4, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/15*(-1 + -12 + 3). Suppose -q - 28 = -i. What is the units digit of (q\/(-8))\/(0 - (-1)\/116)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**2 + 2*r - 3. Let o(t) = 5*t**2 - 2*t + 4. What is 4*k(z) + 5*o(z)?\nAnswer: z**2 - 2*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/4*(8\/6)\/((-960)\/(-32))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147568, 147564, 147560?\nAnswer: 147556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 9. Let i be q(5). Suppose 4*w + 5*c - i*c = 7, 3*c - 10 = -w. Let x be w - (17\/(-19))\/(-1). Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28\/5, -5\/6, -14, -174 in increasing order.\nAnswer: -174, -14, -5\/6, 28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -144 + 180 - (9 + -125) - 43.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 11 - 3 + 3*h - 3*h. Let u be (52\/8)\/(2\/(-4)). Let x(a) = -39*a - 53*a + 18 - 1 + 83*a. Determine u*z(w) + 6*x(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*m - 198, -4*u - 5*m - 67 = -274. Suppose -t = -35 - u. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58007 divided by -1349?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose y*f - 26 - 30 = 0. Solve 3*h + h + 2*c + 10 = 0, -2*c = 5*h + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/(2\/80). Suppose 5*k + 143 = 2*q, 4*k - 266 = -3*q - j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27606 (base 10) to base 11.\nAnswer: 19817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 168, 133, 22, -207, -596, -1187, -2022, -3143?\n\"Answer: -7*y**3 + 4*y**2 + 2*y + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 584800 and 54400?\nAnswer: 2339200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) 5 (c) 0.6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.04, 2\/9, 125, -2\/13, 0.4, -126?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*w + 162 + 150 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84191 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 77. Suppose 5*t + 4*s = 19, f*s = -5*t - s + 18. Suppose 28 = t*l - 2. Solve u + l = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s + 5*s)*(-8*s - 4*s**2 + 27*s - 18*s).\nAnswer: -24*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902.3983 nanoseconds to seconds.\nAnswer: 0.0000009023983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.23, -9, -2, -1\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023701583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5365.037 and -0.6497875.\nAnswer: -5365.6867875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 8. Let d(x) = -2*x**3 - 3*x**2 + 3*x - 5. Let u be d(-4). What is the highest common divisor of u and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10004 (base 6) in base 10?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321\/2 + -12515\/78. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2418 - 2281. Which is greater: s or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48050*f**5 + 4*f**2 - 3643?\nAnswer: 2883000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 454 (b) -1 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*t + 6 = 0, 0*l + t + 17 = 4*l. Suppose -5*w + 35589 = -l*w + 4*b, 20 = -5*b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 4*h**2 - 8*h + 11. Let g be c(6). Let l be (336\/g)\/(3\/20). Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4305670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 35. Calculate the remainder when q is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g. Let b(m) = 8*m**3 + 5*m. Suppose 4 - 10 = -t. Let l be 0\/t - -2*1. Suppose 0 = 5*y - 2*o - 5, 2 = l*y + 5*o - 0. Give y*b(c) + 6*x(c).\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 7*o**3\/6 + 5*o**2\/2 + 57*o - 1. Let m = -7 + 12. What is the tens digit of q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 1. Let r be y(3). Suppose 2*q = -0*q + f + 5, 5*q - r*f - 10 = 0. Suppose q*m + 52500000 = -2*m. What is m rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, a: 3, p: 1, r: 1, i: 1, q: 2}. What is prob of picking 3 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4385824 and 90496?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + k**4 + 5*k**4 + (-k**4 - 4*k**4 + 3*k**4)*(-1 + 5 - 3).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -253*i - 656. What are the prime factors of b(-44)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.2589484 and -2401?\nAnswer: 2367.7410516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6940\/7 + 992. Find q, given that 1\/7*q**4 + 4\/7*q - 4\/7*q**3 - u + 3\/7*q**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*i*l**2*v + 39*c**2 - 2*c*i*l**3 + c*i*l - 96*i*l**3*v wrt v?\nAnswer: 3*c**2*i*l**2 - 96*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/2 + 116*o**4 + 5111*o**3\/2 + 12304*o**2 - 14976*o = 0. What is o?\nAnswer: -208, -16, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.56 + -2.44. Which is the closest to r? (a) -0.6 (b) 2\/5 (c) -7 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -699? (a) 5 (b) 0.3 (c) -5 (d) -0.02 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7176 * -0.5.\nAnswer: -3588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 3*f)*(-5 - 3 + 0).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, b: 4, x: 3}. Give prob of picking 1 o and 1 x.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2363*a - 4659. Calculate k(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 171\/(-716) + (-4 + 260\/50 - (-19)\/(-20))\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/5, 0, 11, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2509488 and 1946800?\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 15. Suppose -k + c - 18 = -d*c, -10 = -2*c. Suppose -90 - 32 = -k*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/441 and -62\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12361?\nAnswer: 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:08 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*y - c - 0, -5*c = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 126238*y\/5 - 378696\/5.\nAnswer: -2*(y + 3)*(y + 63116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59\/3 + 20. Let z = 549.2 + -549. What is the closest to z in h, -1\/6, -0.09?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w - 6. Let u be i(-9). Find the common denominator of (u\/32 - -3)*1 and 67\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2450 - 2445. Put -2\/25, -6, m in decreasing order.\nAnswer: m, -2\/25, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*y - 80, 2*j - 5*y = 3*j + 3. Let v = j + -11. Solve -d = -2*k + 6, 0*k - 5*d = -2*k + v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -10\/267801?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3382\/199961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104\/3 - 211\/6. Which is smaller: -6\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Let t(r) = 5338448*r**2. What is f(t(q))?\nAnswer: -56998054097408*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 0*q**3 - 4*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 7*l - 7)*(-107239*l - 3 + 2 + 107391*l) in the form u*l**2 + n + j*l and give u.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(24)\/(1*sqrt(12)) - (sqrt(4)\/sqrt(2))**2*4 - (-5 + 3 + sqrt(2) + 5).\nAnswer: -11 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1536*q - 4564. Calculate z(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027132 rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076115.\nAnswer: 5, 7, 179, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 + 4.7. Which is the nearest to x? (a) -0.1 (b) 0.4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158.1 + -180. Let y = -21.49 + -0.51. Let p = u - y. Which is greater: 1\/3 or p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388660*c - 300733.\nAnswer: -388660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.85*0.4\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3962\/24 - (-8)\/(-96). What is the greatest common divisor of w and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-6)*-74*(-11)\/(-44).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-429*p**3 + 1293*p**3 - 404*p**3)*(4*p - 2*p - 5*p) + 2*p**4 + p**4 - 4*p**4 to the form f*p**3 + r*p**4 + w*p**2 + m*p + q and give r.\nAnswer: -1381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = q. Let i = 85 + -71. Let x be (7\/i)\/(q\/8). Which is the second biggest value? (a) -0.2 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1636626 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 2*a**2 - 4. Let c(d) = 3 - 11*d**2 - 18 - 16*d**3 - 6 + 0. Let k = 6 - 8. What is k*c(m) + 11*q(m)?\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 10*j - 3. Give w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-2)\/(-16)*4). Let f = d + 89. Does 44 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11115 (base 14) to base 15\nAnswer: c3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:50 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 38*h - 131. Give t(13).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 6 = -z. Suppose -4*q - 19 = -a, 26 = 4*a - 3*q - 11. Let i(d) = d - 5. Let f be i(a). Solve -f*y + z = -9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -6*f**5\/7 - 46*f**4\/7 - 4*f**3\/7 + 184*f**2\/7 + 16*f = 0?\nAnswer: -7, -2, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166682205 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 605*g + 4. Let m(s) = -3*s**2. Calculate m(f(r)).\nAnswer: -1098075*r**2 - 14520*r - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.215 - -0.21589. Round q to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 31*n\/4 + 15\/2.\nAnswer: (n - 30)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - o - 19 = 0, s + 4*o - 37 - 7 = 0. Let b be (-3)\/(-6)*(s - 0). What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1402 + 1401. What is the biggest value in 2\/3, u, 19, 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5271547\/240 - 412661\/16. Let w = n - -11462\/3. Find the common denominator of w and ((-720)\/(-110) - 6\/11) + (-7)\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 48766 - 48786 = -3*l, -2*l = -2*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*o**2*s**3 + c*o**2 - 5*c*o*s**3 - 10*c*o*s**2 + 2*c*o - 13*o**2*s**3 - o*s**3 wrt o?\nAnswer: -4*c*s**3 + 2*c - 26*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 + 19*n + 12. Let s(x) = x**2 + 6*x + 4. Let i(f) = -2*j(f) + 7*s(f). Let a be i(-4). Let w = -10 - a. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 42 = 22. Suppose 2*y + 5 = -3*r - 3*y, 4*r + 5*y = 0. Let b be r + (-1 - 1)\/2. Solve -3*k + z = -b*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118.5 - 118. Let c = 38.2 - 38. What is the nearest to 2\/49 in v, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -4, -2 in decreasing order.\nAnswer: -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.08\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16496 and -0.3.\nAnswer: -16496.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 17.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573948 is divided by 79?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 18*s**2 + 8*s - 2. What are the prime factors of g(-12)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 20, -17 = 4*s + 4*o + 31. Let y = s - -17. Let k = y - -42. Calculate the remainder when 103 is divided by k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/98 + 39*f**6\/35 + 87*f**5\/28 - 132*f**4\/7 + 152*f**3\/7 + 3760*f. Let n(b) = 0. Calculate b.\nAnswer: -76, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10641*k**3 + 5*k**2 - k + 5. Let q be y(5). Round q to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/2)*r*r*r**(-5)*r*r*r\/(((r**4\/r)\/r)\/r)*r*r\/((r**(2\/13)*r)\/r)*r*((r**2)**(21\/5))**(-7\/5) assuming r is positive.\nAnswer: r**(-7419\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -2480.232.\nAnswer: -2476.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -25 + 43. Let m be (-2)\/(5 - -1)*g. Suppose -24 = -m*n + 24. What is the greatest common divisor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -31. Let z be 3*(u + (4 - 4)). Let c(o) = o - z - 2 + 6. Give c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efeeefeefe. What is prob of picking 3 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 5404 + 5404.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 + 3*m - 3. What is d(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**2 + 0*h**2 - h**2)*(93 + 130 + 3*h - 223 - 3*h - 3487*h**2) to the form w + o*h**2 + q*h**3 + v*h + a*h**4 and give a.\nAnswer: 20922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 34187545 to the nearest ten thousand.\nAnswer: 34190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100100 - -1000?\nAnswer: -1000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 1802.46.\nAnswer: 1803.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 238, 535, 950, 1483?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437235644 to the nearest integer?\nAnswer: 20910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -2897908 = -5795815\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - (11 + -1)) - (1 - 40).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7067 divided by 1.\nAnswer: -7067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.11 - -1.94. Let z = 0.05 - w. Let a = 2.999996 + z. What is a rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*v + 19, 3*c + 4*v - 49 = -5. What is the lowest common multiple of 216 and c?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2945888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 196*t**2 + 56*t + 28. List the prime factors of g(-11).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5292420.33 - -3.\nAnswer: -5292417.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115400624\/405 - 284940. Find the common denominator of m and 46\/63.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14887 - 14872. What is the remainder when 600 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38903128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15452*k**3*n**3 + 223*k**3 + 4*k**2*n**2 - 2*k**2 wrt n?\nAnswer: 92712*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22903817 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5. Let i(b) = 8*b**3. Let m be i(-1). What is the units digit of x\/(-4) + (-26)\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7 - 2*c - 2*c - c + c. Suppose -2 + 22 = -5*h. Is p(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q + 3. Let m be v(-5). Let g be (m\/(-10))\/(9\/(-15)). Solve 1 = -u, 0 = -3*k - k - g*u + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -971\/187524?\nAnswer: -971\/187524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 20. Let g(j) = 3*j**4 + 4*j**2 + 4. Let z(l) = 3*l**4 + 5*l**2 - l + 5. Let o(k) = t*z(k) + 5*g(k). Find the second derivative of o(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c*c**(-4))**49 assuming c is positive.\nAnswer: c**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let t be h(-6). Suppose 24 = t*s - 31. Calculate the smallest common multiple of 2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8585796001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2\/3*s**3 + 3*s - s**2 + 0. Let z be m(-2). Is 6 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 2)\/((-20)\/(-30790)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.05, 98\/5, -3, 6\/17 in ascending order.\nAnswer: -3, -1\/6, 0.05, 6\/17, 98\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 5019308*m**4 + 4198895414934*m**3 + 1170845190725452820*m**2 - 9366967273044208984*m + 17563181732020783920 = 0.\nAnswer: -836554, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuyufufuuuuuu?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 0.1. Let x = p + 0.7975. What is x rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14940335, 14940334, 14940333?\nAnswer: 14940332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 8. Let q be x(-6). Let j = 1 - q. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, d: 13}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(524\/(-352) - (-148)\/407)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0 + 6*v**3 + 14\/3*v**4 - 14\/3*v**2 - 20\/3*v + 2\/3*v**5 = 0.\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*j - 4)*(-3*j**2 - j**2 + 3*j**2).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/780 + 19*i**5\/390 - 4*i**4\/39 - 12*i**3\/13 - 1228*i**2. Factor d(u).\nAnswer: -2*(u - 18)*(u - 2)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 3*h + 2*h**2 - h**2 + 20*h**2 - 161*h**2 - 25*h**2 + (0*h - h - h)*(2*h - 2*h - h).\nAnswer: -163*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4182431l?\nAnswer: 418.2431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2937\/(-42)) + (-12647)\/(-177058).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 - -10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:39 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 15*v**2 - 8*v - 13. Suppose -20 + 28 = x. What is the remainder when f(-3) is divided by (-118)\/(-3) + x\/6*-1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7403240 divided by 321880\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 28. Let i be h(-10). Let m be 3*((-12380)\/(-15) - i). Let r = 570 - m. What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d**3 + 13*d**3 + 8*d**3 + 206*d**2 - 90*d**3 - 206*d**2.\nAnswer: -136*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 112*i = -109*i - 6, -2 = 2*z - 4*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let i(a) = -5*a - 3. Let w(x) = 2*d(x) + i(x). Let y(r) = 3*r + 4. Calculate 6*w(j) + 7*y(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3956303907.\nAnswer: 3, 113, 3890171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/426 or 1?\nAnswer: 1\/426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21000)\/700 - (-180)\/(10\/5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9118.533 millennia?\nAnswer: 911853.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14 = -4*l, 0 = 3*a - 0*l + l - 14. Let t be -1 + 2 + 24\/3. What is the highest common factor of a and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -1429032.\nAnswer: -1\/238172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 235 = -4*k, 5*f - 2*f = 4*k - 241. Calculate the least common multiple of 20 and k.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3242991214 + -0.3243. What is h rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13. Suppose -2*c + s + 197 = 4*s, -q*c + 435 = -4*s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 41*s**2 - 565*s - 154. What is n(14)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 11 - 40)*(-3*i - 8*i - 2 + 5 + 5*i).\nAnswer: 516*i - 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + 0.09. Which is the second smallest value? (a) 0 (b) m (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose 13 - 5 = r*x. Find the third derivative of 4 + x*n**5 - 4 - 2*n**2 wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 49 - (-3420 + 3350)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 936 - 960. Solve w*z = -13 + 21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-303)\/88 - 808\/4444 and (-321)\/(-36)*(-1)\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from errre?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3733 in 7, -14, 0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.88 - -17. Let l = f - -11.88. Let t = l - 12.0016. What is t rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069754 minus 0.4424?\nAnswer: -0.372646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*x**2 + 128\/3*x.\nAnswer: 2*x*(x + 64)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 19 = -5*j, 0 = 5*j - 0*j + 3*i - 34. Suppose -81 = -3*u + 3*p, j = 2*u - p - 44. Is 2526\/u + (-14)\/(-77) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13895.\nAnswer: 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1339 - (-1 - -5))*-2. Is (-2)\/4 + p\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2, -6 in descending order.\nAnswer: 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*m - 20*m - 67*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1117313 and 362?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*s**3 - 2716*s**2 - 4440*s - 1872 = 0 for s.\nAnswer: -26, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x**2 - 12*x + 14*x + 3*x**2 to p*x + f*x**2 + j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 68, 145, 252, 389, 556?\n\"Answer: 15*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3*(-6)\/(-4). Let p be 104\/84 + r\/3. What is the nearest to -4 in -1, 1\/8, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22320 (base 4) to base 13.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142923?\nAnswer: 3, 11, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327378 is divided by 24497.\nAnswer: 8917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, 0.2, 0.3, -246?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 2. Let c be x(4). Let j be (-21)\/(-14)*16\/12. Factor l**5 - 8*l**2 + 0*l**2 - j*l**3 + 136*l - 2 - 143*l + c*l**4.\nAnswer: (l - 2)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.2. Let h = 24.7 + -24.7. Which is the third smallest value? (a) -0.4 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -0.2008, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*((sqrt(180) - (0 + sqrt(180)*2)) + 2))**2 + 0.\nAnswer: -216*sqrt(5) + 1658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + 0*d)*(3 - 2 - 2) - 16 - 632*d + 12 + 4.\nAnswer: -634*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/88 and 41\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 1, 15\/16, 4, -107, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h - 10220 = 21*h - 1172 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 32. Let d = -46 - -59. Let w be j(d). Let l(a) = a**2 - 6*a + 1. Determine l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 539 * 1.76.\nAnswer: 948.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4\/4 + 486*g**3 + 12185*g**2\/4 + 5916*g + 3555 = 0.\nAnswer: -3, -2, -6\/5, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:26 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4, -4*a + 2*t + 232 = 7*t. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223304047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -469*a**2*h - 328488*a**2 + a*h + 61*h wrt h.\nAnswer: -469*a**2 + a + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)*j)\/(j\/j**7*j)*(j**(2\/3))**8*(j\/j**(-3\/2))\/(j*j**(-1\/7)\/j*j)*j**(-9)*j**(-4\/5) assuming j is positive.\nAnswer: j**(727\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -118*w**2 + 785*w - 3. Calculate the least common multiple of 1530 and j(6).\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*x)*(-2 + 3 - 2 + (4 - 2 - 3)*(-1 + 0 + 2)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121326669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7604 = 2*x, -2*v + 5 + 5 = 0. Suppose -c + 141002 = -3*u, 2*u + x + 90183 = -5*c. Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 2, c: 1, v: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Let h = 5 - q. Let m(r) = 5*r. Is 5 a factor of m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = g - 10710, -7*k - 2*g = -8*k + 3563. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 10*z + 25. Let d be h(-7). What is the first derivative of 81 - 3*v**2 - 2482*v**4 + 2481*v**d + 3*v**2 - 69*v**3 wrt v?\nAnswer: -4*v**3 - 207*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52374 divided by 17458?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2*z**2 - 6*x**2*z + 224*x**2 - 2*x + 14*z**2 wrt z.\nAnswer: -2*x**2*z - 6*x**2 + 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 453 + -368. Suppose t - m*v - 928 = -86*v, 5*t = -2*v + 4652. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*y - 2, 0 = -s + 2*y + y + 2. Let f(z) = 3 - s - 15*z + 11*z - z**2. Let j be f(-3). Solve -2*t - j = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13541 is divided by 663?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**3 - 6*p**3 - 4*p**4 + (-2*p**4 - 3*p**4 + 3*p**4)*(-35 + 35 - 133).\nAnswer: 262*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - r + 2, -5*r = -25. Let p = -4 - -6. Suppose 0 = -p*g - g. Solve g*l = -4*l - 4, -2*j - x*l = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190 - -211. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383940 divided by 5?\nAnswer: 76788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6318 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76339824 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.749 - 0.049. Let s = l - 7.64. Sort 3, 2, s in decreasing order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524110147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4116\/9261*(-666)\/(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) - (-41240)\/25 - (112 + -119) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 109838457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 7*g**2 + g**3 + 0 - 3 + 3 + 2. Let z be s(-4). Suppose -5*k + 2*k = 3*j - z, 0 = j - 4*k + 10. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d. Suppose 35 = 28*v - 21. Let y(p) = 97*p**2 - 53*p**2 + 37*p**v. Determine y(x(z)).\nAnswer: 2025*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 20 = 0. Let q = 27 + -32. Sort x, q, 2 in descending order.\nAnswer: x, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/15, -2\/7, 21.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 26*f - 656. Give n(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j**(-2\/5)*j)\/j)*j**6)**(1\/80)\/(j**(-4)\/(j*j*j**(2\/11)))**32 assuming j is positive.\nAnswer: j**(54422\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**3*v*v**1*v*v**(-2\/3)*v\/(v*v**(3\/2)*v)*(((v\/v**(-3))\/v)\/v**4)\/(v**(-2))**50 assuming v is positive.\nAnswer: v**(581\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*j**5*r - 2429*j**4*r**3 + 6*j**2*r**3 + j**2*r**2 - 2*j*r**3 + 42*j*r**2 - 25*j wrt j?\nAnswer: -2520*j**2*r - 58296*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 2*d**2 - 2*d - 1. Suppose -4*z + 0*z = -12. Let k be x(z). Suppose -k*s = 2, o + 5*s = 501 - 135. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.33 + 46. Let r = q + 0.03. Let n = -0.4 - 0.1. What is the third biggest value in r, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 12*b - 15. Suppose -83 - 298 = -s. Let j = s - 370. What is n(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 3*k - 1. Let p = -10 + 7. Let t = p - -42. Let x = t - 36. What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 310*f + 434. Let t be j(6). What is t rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -195. What is the tens digit of q\/(-24)*(0 - -1)*482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - z + 0*z + 7 + (-4 - 1 + 6)*(5*z - 2*z - 2*z) + (z - 3*z + 3*z)*(-1 + 1 + 5).\nAnswer: 7*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/12172?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112\/3 - 38. Let x be -6 - (142*-2 - -5). Let g = x - 1363\/5. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4201, -4214, -4227?\n\"Answer: -13*v - 4188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-18 + (-2 - -11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s - 7*s + 3*s)*(0*s - 2*s**2 + 0*s + (-4 - 1 + 6)*(-s**2 + 0*s**2 - s**2)).\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*y - 23 = 17, -2*k = -5*y + 19. Let t(s) = s**3 + 27*s**2 + 5*s + 140. Let m be t(-27). Solve k*a = m + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - p = 41, -69*p + 36 = 68*p - 128*p for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -3*t**5\/80 - 17*t**4\/12 + 23*t**3\/24 + 171*t. Suppose q(s) = 0. What is s?\nAnswer: -23, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 652 and 1304?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060 + 348 = 167*k - 429 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11006 + 11014. What is the fifth biggest value in 1\/2, -2, z, 42, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 147?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23751677 is divided by 5937917.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 7. Let s(r) = -r - 3. Let n(x) = -7*s(x) - 3*y(x). Let i(u) = -6*u**2 - u**2 + 15*u**2. What is i(n(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57052, 114110, 171168?\nAnswer: 228226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.039 - 1.961. Let m = z - -1.999875. What is m rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*r + 40. Suppose -3*n + r = 8. Suppose 0 = -2*l - 2*o - 2*o - 18, -n*l - o = 22. Let g(x) = x. Calculate g(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + -5 + (sqrt(405) - (-2 + sqrt(405)))*2 + 2*(0 + sqrt(405) + 1))**2*2 + 4.\nAnswer: 108*sqrt(5) + 7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 at most as big as -234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g = 41*g + 168. What is the smallest common multiple of g and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 27.987. Let m = 0.484 + -0.771. Let s = d + m. Sort s, -1\/6, 3, 1.\nAnswer: s, -1\/6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(50) + sqrt(450)\/(-1*sqrt(9)))\/(sqrt(360) - 2*sqrt(360)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8997, -8959, -8921, -8883, -8845?\nAnswer: -8807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/4 or -648.31?\nAnswer: -648.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1\/4 (b) 5\/24 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -10. Let u(d) = -14*d - 2. Calculate the remainder when 44 is divided by u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 158*n - 499. Let l be j(18). Find the third derivative of 2421*w**4 - 14*w + 2*w**3 - 3*w**2 - l*w**4 - 61*w wrt w.\nAnswer: 1824*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15623843 is divided by 550.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.3 (c) -7 (d) 2 (e) -39.8 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*r - 18900 = -238*r. Calculate the highest common divisor of r and 1680.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775922 and 798.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**2\/2 - h - 9. Let n be i(-3). Factor n*u - 12*u**2 + 32*u**2 + 6*u.\nAnswer: 4*u*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8421\/143 - -762\/13. Find the common denominator of -3\/121 and w.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 37192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 7*v**2 - 15*v - 26. Suppose 23 = l + 28. Let u be a(l). Let w be (2\/(-4))\/(102\/(-4)). Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b = -36*b - 4. Calculate the least common multiple of b and -1*(-6)\/(-4)*-12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) -0.131 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 7\/5 (c) -2\/167 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c - 19*c - 18*c + 59*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 14) to base 16\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.431 (b) -13\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 w when four letters picked without replacement from {w: 2, q: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4))**11\/(c**(2\/3)\/c**0) assuming c is positive.\nAnswer: c**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*12\/(-45) + -2. Let w = -3.99 - -4. Let k = -2.99 - w. Which is the closest to u? (a) -0.5 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575984 is divided by 69621.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 19. Let s(k) = 5*k - 12. Let v be s(j). Let m = 33 - v. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403 - -539. Calculate the highest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105761374 is divided by 2088.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -2*d - 3*r, 0 = 3*d - 2*r + 14. Let m(k) = -7*k**3 + k + 8. Let i(b) = -6*b**3 - b**2 + b + 7. Let x(q) = -6*i(q) + 5*m(q). Calculate x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.81 + 50. Which is the closest to q? (a) 1\/2 (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 18.15. Let p be 105\/140*1*-4. Which is the third biggest value? (a) m (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 147*w + 2. Let n(s) = -s**3 - 5*s**2 - 4*s + 1. Let b be n(-5). Suppose 5*k - 4*d - b = 0, -5*k - d + 3 - 2 = 0. Is m(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + j - 5 = 0, 5 = -g - 5*j + 2. What are the prime factors of ((-1405)\/(-20)*-1)\/(g\/(-8))?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 4*j - 4. Suppose 0 = -2*w + 12 - 4. Let s be g(w). Let v(o) = -2*o - 25. Let b(z) = -z - 12. Let u(d) = -9*b(d) + 4*v(d). Calculate u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*-2)\/(sqrt(132)\/sqrt(3) + sqrt(11)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34203 - -51356. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 1324.95.\nAnswer: -7949.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:52 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**2 + 3*k**2 + k**5 + 2*k**2 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d + 24. Let m be g(-9). Suppose 783 = 2*i - m. Let p = i - 284. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let m = 10 - 6. Let z(r) = -r - m + 4. Give a(z(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11110010011 (base 2) to base 6\nAnswer: 12551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 129668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -4 (c) 5 (d) 675\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 - 2*y**4 + 2*y**3)*(-5 + 12 + 9) + (4*y**3 + 3*y**3 - 5*y**3)*(-2 + 5*y + 2) to t*y**4 + a*y**3 + z*y**2 + k + q*y and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202201002221 + -11?\nAnswer: 202201002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z + y - 305, -3*y + 765 = 5*z. Let r = z - 1348\/9. Which is the nearest to -1? (a) r (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 8*j**2 + 15 + (0 + 2 + 0)*(3*j**2 - 5*j**2 + j**2).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2824 - 2825. What is the second smallest value in 2\/121, j, -0.4, 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.23 (c) -558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 8*d = 35. Solve 2*b + 3 = -4*u - d, 4*b = -20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122255 + -4?\nAnswer: -122261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 4*u + 16. Let y(q) = q**2 + 2*q - 1. Calculate -x(t) - 2*y(t).\nAnswer: -3*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/10 + 13*c**4\/12 - 11*c**3\/6 - 23*c**2\/2 + 14*c - 11. What is z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 + -5. Let y = -184 - 62. Let h = -241 - y. What is the smallest value in 2\/9, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16764 and 22352.\nAnswer: 67056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -630660 (base 7) in base 6?\nAnswer: -2153433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 6*x**3 - x + 0*x + 11*x**3.\nAnswer: 16*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0040404 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/78258 and 61\/318?\nAnswer: 4147674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 52*f + 156*f - 33 + 101*f.\nAnswer: 205*f - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 28. Let c = -6 - s. Solve -24 = c*b - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*w - 1343*w + 16761 + 52191 = -116*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 5*c**2 - 2*c + 1. Let v be n(-2). What is the remainder when (-41)\/2*(5 + v) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t. Let y(l) be the second derivative of l**4\/3 + 6*l. Calculate y(k(h)).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvx when three letters picked without replacement from hxqkdvx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -3 (c) -97 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.32, 1\/6, 1\/5, 2 in descending order.\nAnswer: 2, 1\/5, 1\/6, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -17*t + 8. Let k be u(1). Put 0, k, 1 in increasing order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-103)\/(-5) - (-21)\/(-35). Suppose -4*w - 12 = 0, 2*j + 4*w = 4*j - 16. Suppose 7*n - j*n - 10 = 0. Solve 0 = -n*d - 3*d + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and -5.32?\nAnswer: -287.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68386\/93 - (-2 - 4\/(-3)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*j = -j - 1722010, 1148006 = 2*g - 3*j. What is g rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*d**3*o + 11193*d**3 - 2*d**2*o + 116428*d*o - 3*o wrt d.\nAnswer: 786*o + 67158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 63*a - 3491. Let p be l(38). What is the greatest common factor of 199 and p?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -56\/3, -2, -3\/5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j + 411. What is x(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2264 - 2263. Let h = 0.6 - 0.2. Which is the closest to m? (a) h (b) 1\/3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 9*r**2 - 8*r + 21. Calculate u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/329 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/3, -0.001, 0.5, 0.08, -6 in decreasing order.\nAnswer: 0.5, 1\/3, 0.08, 0, -0.001, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (67\/804 - (-1450)\/(-120))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2. Suppose 3*f - 8*f + 45 = 0. Let q(a) = 32*a - 4. Let z be q(f). Let k(v) = 284 - v**2 - z. Determine m(k(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10022 + 6641. Let c = 7826 - a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 4*h - 3. Let k be w(-1). Solve -4*z = -y - 17, -y - 3*z + 7 = k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 19 + 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 42 - 110 = 0. Let o = y + -14. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 12 + 6*y + y. Suppose -4*i - 4*o - 17 - 7 = 0, 5*i + 20 = 5*o. Give j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 13*s. Let d be 4\/(-10) - (-3 + 54\/15). Calculate y(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 197 = 5*j, 42 - 111 = -m + 5*j. Let o = 139 - m. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185948 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12858 + -12690. What is the highest common factor of d and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*m - 4757 = 3157, 5*j - 5*m - 9910 = 0. What is the remainder when 393 is divided by (2 - 1)\/(20\/j)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 140*h**2 + 113*h**2 + 21*h**2 + 73*h**2 + h.\nAnswer: 347*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/546117 and -64\/33.\nAnswer: 546117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 0*q**4 - q**4)*(-2 - 2*q + 2) - 2*q**3 + 2*q**3 - 35*q**5.\nAnswer: -31*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 less than or equal to -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 - (11 - (-19)\/38).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2457998*l + 1 + 1228892*l + 1228948*l - 1.\nAnswer: -158*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + 9)*33\/6. Suppose 5*r = 7*r + u*r. Solve y + 0*y - 4 = r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63336?\nAnswer: 2, 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -815 - -828. Solve -5*o + 17 - m = 2*v, -o = -v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1967999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l + 11. Suppose -5*k + 4*d = 43 + 4, -4*d + 36 = -4*k. Let j(f) = f**3 + 10*f**2 - 13*f - 14. Let t be j(k). Give w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 4*f + 253. Let y(t) = t**2 + 20*t - 38. Let v be y(f). Which is bigger: v or 30?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222520, -222522, -222524?\nAnswer: -222526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3097*-527.7.\nAnswer: -1634286.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9207959, -18415896, -27623833?\nAnswer: -36831770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 112 - 2*v - 164 + 0*v - 2*v**2 in the form m + g*v + n*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*z - 38*z + 103*z**5 + 2*z**4 + 32 + 31*z**5 wrt z?\nAnswer: 2680*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 - -4. Which is the nearest to 1\/2? (a) -1 (b) -1.6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -803506, -3213909, -7231246, -12855517, -20086722, -28924861?\n\"Answer: -803467*a**2 - 2*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2553)\/46*(-4)\/2 + -4. Suppose -183 - t = -5*j. Calculate the remainder when j is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-84)*42\/60.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from qjmpmqqqmmjrqqrjj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2*-2)\/(1*sqrt(28)\/sqrt(700)))**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let x = 46 - 48. Let v(c) = -1. Let f(i) = 4*i - 2. Let r(a) = x*v(a) + f(a). Give r(s(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008168 to four decimal places.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 730*u**2. Let j(y) = y + 7. What is o(j(c))?\nAnswer: 730*c**2 + 10220*c + 35770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 6 + -13)*6\/28. Sort 5, -23, s.\nAnswer: -23, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3142*j + 186*j - 443*j**2 - 377*j**2 - 1272 + 878*j**3 - 870*j**3.\nAnswer: 4*(j - 106)*(j + 3)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -1332134?\nAnswer: -1332214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.7917 * 0.1\nAnswer: -0.07917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from kkkkkkkkkkkkkkkkokk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 7*d**2 - 3*d + 5. Let h be 6\/(-33) + (-75)\/11. List the prime factors of y(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:35 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)*s*s)\/s**12)**(-9)\/((s**(-2\/7)*s)**(-2\/123)\/(s\/(s\/(s\/s**(2\/9)))*s*s*s)**(-28)) assuming s is positive.\nAnswer: s**(-151189\/5166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - aa0?\nAnswer: -a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 1. Let d = 15 - 22. Let q be k(d). Let g = 18 + q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7555.689 days to milliseconds.\nAnswer: 652811529600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17429 - -2?\nAnswer: -17427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times -6?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 + 28 + 40*p - 11*p)*(3*p + p**2 - 3*p) to the form g*p**3 + k + u*p + c*p**2 and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 16*w**2 + 34*w - 30. Let y be c(-18). Solve y = -6*i - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 0*t**2 + t**2)*(224 + 15380*t - 410 + 184) to the form f + n*t**2 + l*t**3 + i*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2) - (-3)\/9*-6. Let m be (0\/(1*8\/(-4)))\/j. Let d = 13 + -145\/11. What is the closest to m in d, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 1 - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1424 and 1246.\nAnswer: 9968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ae + -c4?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792400?\nAnswer: 2, 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*z - 12 - 0, -3*k - 5*z = -15. Suppose o - 5*w + 12 = 2*o, 4*o + 2*w - 12 = k. Suppose o = 5*h - 53. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 7*h**6\/720 - 49*h**5\/60 + 11*h**4\/2 - 5*h. Let b(j) be the third derivative of i(j). Differentiate b(r) wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646.5 times 836?\nAnswer: 1376474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.504831 - -15.194.\nAnswer: -53.310831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.1, 4, -762?\nAnswer: -762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0855 and -5602175?\nAnswer: 5602175.0855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*c + 6\/5*c**2 + 3\/5*c**3 - 1\/5*c**4 + 0.\nAnswer: -c*(c - 4)*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -1601, -3642, -6495, -10160, -14637, -19926?\nAnswer: -26027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-40))\/((-2)\/((17152\/(-72))\/(-16))) and -103\/550?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -1137\/13. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492\/5 - 32\/80 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-25)\/10 + 2)\/(2\/(-80)). Let s(v) = v**2 + 5*v + 7. Let t be s(-7). Suppose t*p = b*p + 52. What is the highest common divisor of p and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27674078171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**2\/2 + 16*s + 5. Let o = 46 - 50. What is the units digit of u(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + i + 1 = 3*w, -10 = -5*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(-2*(sqrt(5)*-2 + 3) - 6*-3*sqrt(720)))**2 + -3 + 1.\nAnswer: -7920*sqrt(5) + 968079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14526 divided by 190?\nAnswer: -7263\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 6\/17, 11, 2?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -19 - ((-34 - -33) + -5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2. Let r be ((-17)\/2)\/(7\/(-14)). Let t(d) = -r + 17 + 4*d. Calculate t(g(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 3\/2*w**3 + 7 + 3*w - 27\/8*w**2 - 3\/16*w**4. Solve r(c) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020011222 (base 3) to base 5.\nAnswer: -1233231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 8*q**2 + 6*q - 5. Let j be t(6). What are the prime factors of 5*j*(-16)\/40?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -19. Suppose i*b = 9*b. Suppose 2*o - 6 = -b. Solve o*q + 23 = 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -69*z - 381. Give l(-7).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2912 and 2860?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340400 (base 5) to base 12.\nAnswer: 6b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772896494?\nAnswer: 2, 41, 9425567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3813)\/(-403) + -11)\/((-12)\/78))\/(4\/(-10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -22 + 2. Sort -6, s, 51 in increasing order.\nAnswer: -6, s, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 118. Let q = -46.57 + y. Let o = -0.43000061 + q. What is o rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 44 = 4*j - 9, -f - 3*j - 12 = 0. Suppose -b = -2*y + 36, 0 = f*b + 1 + 11. Calculate the smallest common multiple of 48 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1\/149, -3, -5?\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110111 (base 2) in base 9?\nAnswer: -1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2366000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.1. Let y = -0.05 - 0.05. Let x = c + y. What is the closest to -2\/7 in x, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4079?\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -414433031 (base 6) to base 12\nAnswer: -2502777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49293723221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1020840549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 16) to base 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 1044 + 8*o**2 + 9*o + o**3 - 1048. Give r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53329579 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d + b, 4 = 8*d - 5*d + 2*b. Let o = 0.5 + -0.5. Sort d, -5, o.\nAnswer: -5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 36*t - 345. Give c(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 1 - sqrt(1700))*6 + 3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/29? (a) -3\/5 (b) -1\/3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 7*s**2 - 3*s + 3. Let r(n) = n**2 - 16*n - 1. Let c be r(14). Let b = c - -36. Give m(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*o - 2*u + 10, -o - 5*u - 17 = 0. Let m = o - 1. What is the second derivative of -z - 8*z + 3*z**m + 14*z wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, 1 j, and 1 e when four letters picked without replacement from eisissssbjis.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -302302 - 10?\nAnswer: -302312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022648, -4, -1\/3, 0.5 in decreasing order.\nAnswer: 0.5, 0.022648, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 39. Calculate z(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express p - p - 2*p**4 + (-p + p + p**2)*(0*p**2 + 0*p**2 - 2*p**2) as t*p**4 + k*p + j*p**2 + g*p**3 + h and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(704) - sqrt(704)*-2) + 1 + ((1*sqrt(1584) + sqrt(1584) + sqrt(1584))*2 - (sqrt(1584)*1 + sqrt(1584))*3))**2*-6.\nAnswer: -38166 - 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3583*q + 3569. Determine c(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0899479 take away 6172?\nAnswer: -6172.0899479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from mjjrmjjrkrrrajkm?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 2*m)*(0 + 1 + 0) - 7*m - 2*m + 2*m - 1 + m + 1 + (-1 - 7*m + 1)*(0 - 2 + 4) in the form h + i*m and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5950 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/275*((-3)\/(-2))\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6310836 + 83.6307536. Let b = a + -83. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/5)\/o*o**(-1\/2))**(-19)*o**(-1\/9)*o*o*o*(o\/((o\/o**(3\/2))\/o)*o)\/o*o**(1\/9)*o**(2\/5) assuming o is positive.\nAnswer: o**(286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 83, 169, 287, 437, 619?\n\"Answer: 16*v**2 + 6*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1160*x - 2336*x + 1162*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -4*t - 726. Solve -4*a = -t*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -6*d - 2*q, -7*d + q = -5*d + 12 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.046079933.\nAnswer: -0.092159866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5 + 2\/5*l + 1\/5*l**4 + 0*l**2 - 2\/5*l**3.\nAnswer: (l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-352 - 23472*h + 199 + 153)*(-2*h**3 + 0*h**2 + 0*h**2) to c*h + i*h**3 + t*h**2 + j*h**4 + k and give j.\nAnswer: 46944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.395093 times 0.0456\nAnswer: -0.0180162408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.3 (b) 0.5 (c) 1 (d) -4 (e) -3 (f) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -279.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 8*g**2 + 8*g + 10. Give z(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 429*((-70)\/(-168) - 3\/(-12)). Let u = 923 - h. Is 91 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - (-101 - 6)) + (-2 - (2 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 49.19?\nAnswer: 1.4757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*12\/(-2). Solve 0 = -3*z + 3*n + 9, 4*n = -o*z + 13 - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8808962909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + x + 4 - 17*x**2 + 4.\nAnswer: -17*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 12) in base 13?\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4533 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9684173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -1769*j**5\/20 + j**4\/6 - 53*j**3 - 1454*j. Find the third derivative of g(z) wrt z.\nAnswer: -10614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 14 - 11. Suppose 0*l + 26 = 4*l + v*q, 2*l - q - 6 = 0. What is the second derivative of 2*z - l*z**4 + 2*z**4 + 3*z**4 - 7*z wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 232 = -8*i. Suppose -2*n = -10, 3*n + i = -3*s - n. Let w be 82\/s + 20\/130. What is the second biggest value in w, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -21. What is the smallest common multiple of p and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 4 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d**2 + 0*d**2 + 10)*(-d + d - d + (-1 + 0 + 3)*(-3 + 3 + d)).\nAnswer: -d**3 + 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 186*k**2 + 8 + 2.\nAnswer: -186*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -129\/4, 13\/2683, -1?\nAnswer: -129\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/2 of a millimeter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (33 - 32)*(-1 + 3). Calculate the common denominator of 115\/12 and -7 + 759\/110 - o\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3583215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 7*r - 6. Let t be d(4). Let a be (-2)\/(-6) - (-16)\/t. Solve -a = g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b216 (base 14) in base 7?\nAnswer: -155126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 3*t + 6. Let u(h) be the first derivative of h**3\/3 - 3*h**2\/2 + 5*h + 6. Let v be u(t). Solve -37 - 3 = -5*i + 4*y, 0 = -v*y - 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*d - 207*d + 1027 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 1, -105097 in ascending order.\nAnswer: -105097, 1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 11 + 4 - 4*g + 22.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, 1 y, and 1 x when four letters picked without replacement from yxyyyyvhhxyayy.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 775*j + 2280.\nAnswer: 5*(j - 152)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/9)*q)**(-28)*(q\/q**(1\/4)*q)**(2\/3) assuming q is positive.\nAnswer: q**(-1099\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169606, -339217, -508828?\n\"Answer: -169611*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -474632705, -474632706, -474632707, -474632708, -474632709, -474632710?\nAnswer: -474632711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/11, 0.2, -1\/5, 19, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(2 + 0))\/2. Let g(q) = 2*q + 2 + 0 + i - q. What is the units digit of g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*v)*(-1 - 3 - 1) + 0*v - v + 0*v + (0 - v + 0)*(-4 - 8 - 3).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.047 in -13\/7, -598, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (-170 - -55) + 174\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 55*v = u - 9, -15 = 9*v - 4*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 6. Let d be f(17). Let j = d + 43. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from uuuufuuuulu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0357 + -15.6657. Let j = 0.37 - z. Let t = j + -16.00004. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1341 (b) 63\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by (-11)\/44*(-67 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 116?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2)*(-2 - -8). Let u = o - 7. Let j = 5 + u. Sort j, -4, -3 in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 6*n - 2. Let b be u(-5). Let s(w) = -1 + 0*w - 4 + b + 4*w. Is s(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -0.1 (c) -66 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -68850509?\nAnswer: -6885050.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -6 (c) -51\/728\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -124*t + 351. Calculate y(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274950, -274961, -274972, -274983?\nAnswer: -274994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -121 (b) -5483 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -128150 rounded to the nearest one thousand?\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -3.08. Let t = -1 - -0.9. Which is the nearest to t? (a) h (b) -1\/6 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 786\/15 + (-4)\/10. Suppose 0 = 5*b - j - 48. Let w be 2 - 12\/8*-2. Solve -4*o - 2*q + b = q, -2*o + 24 = w*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 102500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + 15 + (-14 - -5) + 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/2 - 1977319*v - 3909790427761\/2 = 0.\nAnswer: -1977319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrnnirrnrrirnnnirn. Give prob of sequence iri.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22382\/16791 - -2\/5597. Which is the nearest to -1? (a) -0.48 (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6573*t + 3847. Is c(-64) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 216 = 4*s. Let u = s - -57. Let l = 0.018 + 1.982. Put -0.5, u, l in ascending order.\nAnswer: -0.5, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 44494142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 0.0521283.\nAnswer: 0.001042566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 493369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/11, 3, 5, 0.03 in decreasing order.\nAnswer: 5, 3, 0.03, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -2, 1, -16 in descending order.\nAnswer: 62, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4402 take away 0.3?\nAnswer: -4402.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 12.345mg?\nAnswer: 0.000000012345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - -0.3. Let k = 0 + b. Let l = 0.051 - -2.949. What is the third smallest value in k, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4 + 4*w**3 + 70*w + 56*w**2 + 2*w + 15 + 14*w**3 + 9 + 8 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b = 0. Let x = 14823 + -14819. Put 12, -2, b, x in ascending order.\nAnswer: -2, b, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (8 + -8)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 23 (c) 0.5 (d) 1\/11 (e) -46 (f) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(68))*5 + 2 + sqrt(68) + 4 - 2*-2*(sqrt(68) + sqrt(68)*1)*5) + -3)**2.\nAnswer: -1288*sqrt(17) + 143937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2193588 is divided by 1079?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 14 - (-186 + 169)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3838 = -18*j + 19*j + 5*b, 7716 = 2*j + 2*b. What is the remainder when j is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2 + 2)*(7 - 1 - 4)*(2 - 1 + 15)*(2*p**2 - p**2 - 2*p**2).\nAnswer: -64*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*f**2 - 310*f**3 - 308*f**3 + 617*f**3 - f to the form b*f + i*f**2 + t + z*f**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*5)**2 - sqrt(7) - (1 + sqrt(63)\/sqrt(9)).\nAnswer: -2*sqrt(7) + 8574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 26b6238?\nAnswer: -26b6236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17085, -16072, -15059, -14046, -13033, -12020?\nAnswer: -11007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 265*m**4 - 626*m**3 + 8*m**2 + 90477?\nAnswer: 60*m**2 - 6360*m - 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222223232 (base 4) to base 6.\nAnswer: 3425222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 246*k - 3860. Give l(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 7. Let x(z) = 2 + 104*z + 4 + 11 - j. Let s be x(-6). What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {e: 5, l: 14}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 3*q - 17*q. Let w(v) be the first derivative of 0*v**2 - 5 + q*v - 7\/3*v**3. Let l(t) = -3*t. What is w(l(n))?\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1521 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5*(-888)\/592.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Suppose 16 = 3*i + p*n, n = -i - n + 12. Suppose -4*j - 215 + 3 = -4*a, a - 53 = i*j. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:11 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*x - 16, 4*x - 16 = 8*b - 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Let y(t) be the first derivative of -2*t - k + 2*t + t**3. Let j(x) = -2*x. Determine y(j(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-10*((-9)\/(-2))\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0 - (22\/14 - 1)). Put -1, x, 2\/11 in increasing order.\nAnswer: -1, x, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432350 (base 6) to base 7.\nAnswer: -1044504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6984 at least 76836\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 3. Calculate q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1037247883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032117672756 - 395.\nAnswer: -394.967882327244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*a + 146 = 4*h - a, -396*a = -181*h + 179*h + 16640 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0c + -3?\nAnswer: -b0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3162 divided by -6.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sccc. Give prob of sequence cs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 11*l**3\/3 + 16*l - 16. Find the first derivative of g(q) wrt q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/104 - (-3)\/(-40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 53682*d - 590133. Calculate g(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 2*q**4 + 3*q**2 + 3*q**4 + q**3 - q**3 + (-q - q**2 + q)*(-q**2 - 4*q**2 + 6*q**2) - q**4 - 3*q**4 + 3*q**4.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = -4*z, -16 = -h - 3*h. Let n(v) = -v - 4. Let q be n(z). Find the common denominator of -21\/5 and (-113)\/(-10) + q\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1540)\/(-130) - 12 - -261*(-12)\/(-78)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90.76 + -90. Let x = u - 0.66. Which is the second biggest value? (a) -5 (b) -1\/11 (c) -1\/6 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, b: 4, o: 5}. What is prob of picking 2 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7654 + -7089. Calculate the remainder when 1143 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6055 + 8331. What is the lowest common multiple of 74 and l?\nAnswer: 84212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -408 from -536477.3.\nAnswer: -536069.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t*t)**(2\/31)\/(t\/(t**(-1\/3)\/t)*t*t**(-6)*t))**28 assuming t is positive.\nAnswer: t**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 46913712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18*t - 640 = 0. Let j = t - -42. Let b(s) = -4*s - j*s + 3*s. Let k(v) = -14*v. Determine b(k(w)).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 21 + 18 - 12*d + 10. Let c be u(-6). Let z = 126 - c. Solve -5*l - z = 0, 2*n + 2 - 3 = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p - p)*(6 + 6 - 84 + (-5 + 0 + 3)*(6 + 2 + 0)) in the form h + v*p and give v.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179 and 54932773.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 28981*m - 289851. Calculate k(10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(-9 - -10)*640\/60.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 5, w: 6, r: 1, d: 5}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -107. Let t(j) = 2*j - 1. What is t(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 3. Let g = -68 - -66. Let j be o(g). Suppose -4 = -2*h - 5*q + 5, -2*h = q - j. Which is the closest to -1? (a) -0.4 (b) 16 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1102\/13775)\/(1\/475).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1090533176 and 12392?\nAnswer: 12392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17138)\/(-209)*-2*1\/(-14)*(-77)\/(-22).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2206, -1, -0.3, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 987613.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3698, 3639, 3628, 3665, 3750?\nAnswer: 3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 11*j - 8*j)*(0 + 4 - 3).\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 23*m - 61*m + 14*m + 23*m in the form q + r*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(176) - sqrt(176)*-2) + -2 + -1 + ((sqrt(176)*2 - sqrt(176)) + -1 - sqrt(176)))**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44914874?\nAnswer: 2, 157, 313, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -12. What is the remainder when 24 is divided by (-7 - -9) + (-5)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x - x**2 - 11 + 22*x + 0*x. Let c be f(23). Is (-20)\/3*c\/(-30) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444604188 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1)*6\/4. Suppose 4*d = 5*q - 69, 5*q - 29 - 29 = h*d. Let x = 18 + d. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116465*k**3 + 13404*k**2 + 2?\nAnswer: 698790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4420274?\nAnswer: 2, 19, 89, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 3*i**2 + 4*i + 3. Let q be s(-2). Is -1\/10 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-7 - (-24 - -9) - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-102495)\/25 - (-3 - (-64)\/20). Round b to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 2*p - 5. Let z(t) = -3*t**2 - t + 3. Let j(q) = 2*o(q) + 5*z(q). Let y be j(0). Suppose 0 = -8*i + 12*i - 20. Is i != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 3*l**4 + l**4 + (-2 + 2 - 3*l**3)*(-373 + 1029 - l - 170).\nAnswer: 2*l**4 - 1458*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*g + 1346, 98*j = 94*j + g + 2692. What are the prime factors of j?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27456352183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*y - 16. Let v(f) = f**3 + 4*f**2 - 11*f + 8. Let s be v(-6). Which is the nearest to -0.2? (a) y (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82063 and -0.2.\nAnswer: 16412.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 12*a - 10. Let y be j(13). Suppose 0 = -y*v + 5*d - 10 - 1, -2*d = 5*v - 23. Let k(x) = -3*x + 4. What is k(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*h + 11*h + 3872. Solve -177*s = -h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + -1 + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23676, 23159, 22642, 22125?\n\"Answer: -517*n + 24193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*n*t**6 - 85*n*t**5 - 51513*n*t**2 + 2*t**2 wrt t.\nAnswer: 37200*n*t**3 - 5100*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6\/7*g**3 + 0 - 2\/7*g**4 + 2\/7*g**5 + 4\/7*g + 2\/7*g**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21744, 1, 5 in ascending order.\nAnswer: -21744, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -19, -48, -89, -142, -207, -284?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-2)\/(-6). Let w = 1.9 + -1.97. Let m = w + 0.17. Which is the third biggest value? (a) m (b) 2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -1.6. Let n = z + -0.29. Let r = n + -0.01. Which is the smallest value? (a) r (b) 0.3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h. Suppose 85 = 5*t - 3*y, 76 = 4*t - h*t - 4*y. Let z be (-100)\/(-5)*(-56)\/(-10). Calculate the highest common factor of t and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52828, -52832, -52838, -52846, -52856?\n\"Answer: -u**2 - u - 52826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 739075.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g + 2. Let c(y) = 11*y + 3. Let i(j) = -5*c(j) + 6*l(j). Let r(x) = 129*x - 24. Let n(p) = 16*p - 3. Let o(u) = 8*n(u) - r(u). Calculate o(i(b)).\nAnswer: -5*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + x + 79 = 0, -25 = -p + 2*x. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*a = -7, -5*a + 2 + 0 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1*-3)\/(sqrt(24)\/sqrt(32)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.211 + -0.011. Which is the nearest to m? (a) -2 (b) -5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 225?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 2696.4\nAnswer: 78195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqoqqq. Give prob of sequence ooq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326794772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/1159407 and -4\/472351.\nAnswer: 12753477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9365578 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 - 5*y - 60. Let i(w) = -w**2 + w + 12. Give -11*i(o) - 2*m(o).\nAnswer: o**2 - o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93210618 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244064779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 0) + 5 - (32 - 33) - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29067109 and 1499.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.25 or -9\/116906?\nAnswer: -9\/116906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 1. Sort y, -1, 0.\nAnswer: y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + ((-24)\/2)\/(-4) - 207. Is (4 + -8 - i) + -2 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 less than or equal to -0.007203862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 639*r**4 - 21469 + 11172 + 10954 wrt r?\nAnswer: 2556*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102225 or -102242?\nAnswer: -102225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 170*c**2 + 16*c - 5. Is z(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225540 (base 6) to base 5.\nAnswer: -4103314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16043223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akonniaku. Give prob of sequence kk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -3, -59.4, -5\/13, 0.2, -8.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104433002 + 3?\nAnswer: -104432444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 4) in base 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13852 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: Calculate the least common multiple of 16 and 5634224.\nAnswer: 5634224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from eckccdccddccdk.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3 + 0 - 32*p - 3. Let d(g) = -5266 + 2635 + 2631 - 2*g. What is x(d(r))?\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*s - 2 = 133*s, 5*r + 4*s - 17 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323567 divided by 60.\nAnswer: 323567\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 14*x**2 - 38*x - 19. Determine m(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)\/o)**(-23\/5))**(-1\/4) assuming o is positive.\nAnswer: o**(-23\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000100010001111 (base 2) to base 7\nAnswer: 203631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 divided by 52?\nAnswer: 503\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - -41 - (-25 + 45)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*n = -1404*n - 31482 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1225*l**3 + 98119*l**2 + 68353*l - 8 wrt l?\nAnswer: 7350*l + 196238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1626 - -175?\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 80693.\nAnswer: 1452474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let m(n) = -2323*n**3 + 1173*n**3 + 1139*n**3 + 1. What is m(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -11. Suppose 5 - l = -v. Determine w so that -w**2 + 4 - 17*w**v + 9*w + 2 + 9*w**3 - 6*w**2 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1084*v**3 + v**2 - v + 541 wrt v?\nAnswer: 6504*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/236)\/(10\/24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(-7*(-33)\/77)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-102)\/(-4) + 14\/28. Let x = 30 - m. Suppose -366 = x*p - 5*f - 1263, -2*p - 3*f = -421. What are the prime factors of p?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376\/658*14\/20\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axha. What is prob of picking 1 h, 1 x, and 1 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 + 7*c - 7*c**3 - 2940 + 2943 + 6*c**3. Determine i(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/24 - 7*c**3\/6 + c**2. Suppose 3*o - o = n - 12, o - 2*n = -9. Let u be h(o). Let r(i) = 4*i + 3. What is r(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -116340 and 2.\nAnswer: -116338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + 256*z + 16384 = 0 for z.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -67694.6306 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227651719?\nAnswer: 227651719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 34922.6, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280230072*i**2*y + 3*i*y - 904862*i + 2*y wrt i?\nAnswer: 560460144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/10 - 32*c**2. Let h(x) = x + 3 - 3. Give h(z(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 180 = 47*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2443)\/(-14) - 6\/4. Suppose j = 3*u - 76. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 22*a**2 - 26*a - 46. Determine j(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:21 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m - 2*m + 2*m)*(76*m + 2*m**3 - 76*m).\nAnswer: -2*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 38*p**5\/5 - 39*p**2 + 13*p - 44. Let v(k) be the first derivative of f(k). Find the first derivative of v(w) wrt w.\nAnswer: 456*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 1. Let t(z) = z**3 + 17*z**2 + 4. Let k(u) = 3 + 4 + 0 - 6 + 4*u**2. Determine g*t(a) + 9*k(a).\nAnswer: -2*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 5. Let k(b) = 1063 - 2263 + 1201. Let a be (-1)\/(-3)*(-4 - -1). Calculate a*c(n) - 3*k(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.037 times -116\nAnswer: -4.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 28*n**2 - 9*n - 9. Suppose 11*f + 11 = 66. Is y(f) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 48. Let f be k(-14). Let x(n) = 7*n + 20. Let i(q) = -14*q - 39. Let y(a) = 4*i(a) + 7*x(a). What is the units digit of y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let m(w) = -2*w - 3. Let j(v) = -2*c(v) - m(v). Let y(o) = 3*o - o + 5 - 3. Let i(r) = r + 1. Let h(p) = -7*i(p) + 4*y(p). Give 5*h(u) - j(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from pmmppmppmpvvmvpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 517041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 168.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.48 - 72.48. Let d = -1986 - -2065.9. Let s = d + p. Round s to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 4*j**2 - 3*j + 8. Let q be p(-5). Let h be 1\/(-6) + (-2)\/(-3). Which is the closest to 1? (a) -0.2 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(4\/8*-2). Suppose 2*j + 45 = v. Put 2, j, 5 in decreasing order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(243) + sqrt(3)) + sqrt(1728) + 2.\nAnswer: -2 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172138*b*g**2*w + 3*b - 188*g**2 - 348 wrt w.\nAnswer: -172138*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -5 (c) 13 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = g - 4, 19*q - 23*q = -6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + (2 - 2 - 6)*(1 + 5 - 2))*(-2*h + 3*h + 0*h - 1).\nAnswer: -22*h + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 22*o**2 + 24*o - 1. Give a(21).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 14*q**2 + 227*q - 63. What is the hundreds digit of z(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24327, 97288, 218875, 389088?\n\"Answer: 24313*c**2 + 22*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 - h + 4 - 25*h**3 - 2 to the form v*h**2 + u*h + d + x*h**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose 16 = -2*s + c*i + 6, 2*i = -5*s + 23. Suppose s = 5*f - 27. 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: What is 301 (base 7) in base 5?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 307*t**2 + 723*t**2 + 364*t**2.\nAnswer: 780*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(4\/(240\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 15, -2.\nAnswer: -2, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (24 - 3) + (-62 - -52).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5540993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -30100 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5228 - -0.1.\nAnswer: -5227.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8955610 divided by -3530.\nAnswer: -2537","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000113251951 to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1191, 5, -4 in descending order.\nAnswer: 1191, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 9325 - 15812 = 0. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228))\/sqrt(12) + -2.\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 745231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 5*m + 9. Let y be r(-8). Suppose -y = 3*u - 6*u. Let s = u + -29. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 + 180*o**3 + 1484*o**2 - 21780*o - 121000 = 0. What is o?\nAnswer: -11, -5, 11, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 12200011111122021?\nAnswer: 12200011111122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2299464 divided by 3.\nAnswer: 766488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/36279465 and 16\/861.\nAnswer: 253956255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 9 + 2 = 3*y, -y + j + 5 = 0. Suppose -5 = -4*u + y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/10 + o**4\/24 - o**3\/6 + 6*o**2. List the prime factors of c(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -4, 4.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**3 + 2*p**2 + 3*p + 2. Give z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.2 + -100. Let l = -16 - r. Let x = 5 - l. Which is greater: 0.4 or x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22 + 3*62\/(-66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*d + 4, 4*d = 4*n - 3*n + 6. Suppose 0 = -3*r + 3*y + 3, r + y - 1 = n. Let i(g) = 5*g - 5. Calculate the lowest common multiple of i(5) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t - 3. Let x(l) = -5*l + 1. Suppose -73*v + 40 = -68*v. Suppose 11*o - v = -63. Determine o*x(w) - 2*r(w).\nAnswer: 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 177840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 8\/5 (c) -0.41 (d) 0.2 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1, 3, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -8 - 5 - (1 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13 and 14.\nAnswer: 13.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -23 - 34. Let c = -29 + 31. Calculate the lowest common multiple of c and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020396205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10446 - -4925?\nAnswer: 15270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17\/x**(2\/69))**(-10) assuming x is positive.\nAnswer: x**(-11710\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 22*c**2 + 10*c - 264. What is the units digit of k(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308, -306, -304, -302, -300?\n\"Answer: 2*a - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 5 = -9*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 52 - 4 = 4*o, -2*m + 14 = -o. Suppose t - 5*v = m + 7, v + 3 = 4*t. Solve -20*q + 15*q - 5 = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 136, 139, 144, 151, 160, 171?\n\"Answer: h**2 + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2. Let j(s) be the third derivative of -s**7\/1260 - s**4\/12 - s**2. Let i(d) be the second derivative of j(d). Calculate t(i(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + b803b6?\nAnswer: b803b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27756\/(-10))\/(630\/(-100) + 6). Let n = -4531 + r. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 + 7 - (-1 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144602119?\nAnswer: 17, 911, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from rjorllolrlr?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/179, -2\/249, 0.04, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*m - 1085, 0 = -4*d + 5*m + 4282 + 41. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1065*u**3 - 4*u**2 + 363*u - 359. What is s(1)?\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*v, -4*v + n - 3*n + 2 = 0. Solve -p = 4 - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**5 + l**4 + l**3 - l + 1. Let c(w) = -15*w**5 - w**4 - w**3 - 5*w - 1. Let y(j) = b(j) + c(j). What is the second derivative of y(s) wrt s?\nAnswer: -320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by (-2)\/(-7) + (-330)\/(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69635, -69701, -69771, -69845, -69923, -70005, -70091?\n\"Answer: -2*j**2 - 60*j - 69573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*s**4 + 30455*s + 637663 wrt s?\nAnswer: -52*s**3 + 30455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 - 12*l**2\/5 - 4059*l\/5 + 23534.\nAnswer: (l - 41)**2*(l + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7 (b) -17 (c) 0.2 (d) 5 (e) -5 (f) -69\/2 (g) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(14 - 6 - 9)*(113*z**2 - 113*z**2 - 32*z**3) as a*z**2 + j*z + g + u*z**3 and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose -j = -2*p + 11. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, 27\/7, -5, -6\/1873?\nAnswer: -6\/1873","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 65 = -15*i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 2236973.55.\nAnswer: 447394.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 3*r**2 + 3*r**2 + (-2*r**3 - 4*r**3 + 4*r**3)*(-4*r + 0*r + 5*r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 776 and 1572952.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*(k*k**(-7))\/k*(k**(1\/18))**(-32) assuming k is positive.\nAnswer: k**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 46 = -238. Let n = s - 56. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 944 + -946. Let c be -1*n\/(-8)*35\/(-70). What is the nearest to -0.2 in c, -4, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44420721803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus -206851945299?\nAnswer: 206851945299.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 6*r + 5*r)*(1 - r**2 - 1) + 14*r**3 + 8*r**3 - r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 - -89. Let r be -8 + (5 - 2) - x. Solve r*p + 2*p + 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 350*c + 355*c - 1385, 2*c - 3452 = -5*b. Calculate the remainder when b is divided by 317.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-92)\/(-552) + 55870\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rara when four letters picked without replacement from {r: 5, p: 5, e: 2, t: 3, a: 4}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -181835230 less than -181835230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(0 - (-2 + 1)). Let p be (6 - d)*(-2)\/(-4). Suppose -c + 7 = 5*y, -c + p*y + 5 = 4*y. Sort c, -1, 4.\nAnswer: c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 873 divide 16313751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from {t: 6, g: 3, f: 1, w: 3, u: 1, h: 5}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 7. Let d be i(-4). Suppose -a - d = 0, -2*a = 5*y - 7*a - 45. Suppose 5*l + 19 = -5*j - y, j - 5 = l. What is the closest to 2\/7 in l, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374 - 374 + 14*h**2 - 4*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = 5*z - 3*i, -3*z - 2*i = -8. Suppose 0 = z*t - t - 530. Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*1)\/(112\/21 - 5). Calculate the lowest common multiple of 1*d\/21*7 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 3*p**3 - 89 - 87 - 2*p**3 - 7*p**2 - 90 + 269 as u*p**2 + c*p**3 + b + w*p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 2004, -9, -2.\nAnswer: -9, -2, 2, 3, 2004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2051\/3 + -2723\/4. Let a = 1017743616929\/41901970 + -2\/1904635. Let k = a + -24284. Calculate the common denominator of k and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-87))\/((-1)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 14833 = 0. Let l be o\/(-2646) - 1*2. Let j = l + 13\/378. Find the common denominator of 44\/5 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*o - 11, 2*o + 0*o - 12 = -2*l. Suppose 2*s = 3*j + 3*s + l, -4*j - 18 = -3*s. What is the units digit of (j + 13\/2)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-153) - (-8906)\/18. Calculate the highest common factor of m and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -241\/4 or 391?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1183717*p**4 - 35*p**3 + 17249811 wrt p?\nAnswer: -4734868*p**3 - 105*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22386\/492*-4*1\/(-7). Solve 0 = 28*r - v*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 4802684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 26\/5 of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-2*(sqrt(847) + 1))**2 - ((1 + sqrt(847) + 3)**2 - (0 + (sqrt(847) - -1*sqrt(847))**2)))*5.\nAnswer: 11000*sqrt(7) + 276075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 67. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 5*j + 6, 3*q = -j + 9. What is the second derivative of -38*z**4 + 228 - 228 + q*z wrt z?\nAnswer: -456*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46568, 79014, 133090, 208796?\n\"Answer: 10815*d**2 + d + 35752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1262954 and 4726?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*b*o*q - 2*b*o + 2178*b*q + 131645*o*q + 2*q wrt b?\nAnswer: 30*o*q - 2*o + 2178*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58899 is divided by 29415.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (6 + -2)) + 2 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**2 - 4 + 4. Let f(b) = -1277*b**2 - 1272*b**2 + 3834*b**2 - 1269*b**2. What is g(f(n))?\nAnswer: -1536*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9190? (a) -4 (b) -0.074 (c) 2\/11 (d) -0.5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2570 + 2586.11. Let h = k + -17. Let q = 0.62 + h. Round q to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 586186.3ml?\nAnswer: 586.1863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -l - 62, -7*f = -3*f - 4*l - 40. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**2 - o + 1. What is the tens digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -165\/4. Is -1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1332 in decreasing order.\nAnswer: 1332, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155803 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4, 5*t + 148*u - 27 = 150*u. Solve t*w = 8 + 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 1 - 16 - 5 - 6 to the form z*w + d and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 42*k - 80. Give c(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 131*o**2 - 215*o - 4656. Give g(129).\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.058 (b) -1 (c) -1\/2 (d) -30 (e) -2122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4 + 17*f**3 - 78*f**2 + 32*f + 128 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**2 - 3*h**3 - 4*h**2 - h**2 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180.5503 or -10?\nAnswer: -180.5503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 6. Let p be ((-6)\/h)\/(12\/16). Suppose -32 = -p*u + 30. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*i**3 + 17*i**3 + 126*i**4 - 3*i**4 + 4*i**4 - 3*i**4 + (0 + 0 + 3)*(2*i**4 + 4*i**4 - 5*i**4).\nAnswer: 127*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/(-22))\/(2900\/(-15950)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130622 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6672 + 6684 = x + 2*w, -x - 3*w + 14 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(38)\/sqrt(2) + -1)**2 - -2*(sqrt(19) - (6*(sqrt(19)*-1 - sqrt(19)))**2).\nAnswer: -5449 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(325)*1*2 + -5)**2.\nAnswer: 600*sqrt(13) + 46825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 + 2*v**2 - 2. Let d be h(-1). What is the hundreds digit of -1*(-451 + d + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*((n**(-10)\/n*n)\/n)\/n)*n)\/n*n*n\/(n*n\/(n*n**(-2\/3))*n))\/(n**(-16)*n*n\/(n*(n*n**(8\/7)*n)\/n)))**(-2\/23) assuming n is positive.\nAnswer: n**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2670, -5316, -7934, -10524?\nAnswer: -13086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 15*w - 21. Calculate the remainder when s(-11) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -24. Let m(t) = -t**2 + 7*t + 11. Determine m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -29*l**3 + l**2 + 49*l + 7. Let x(q) = 29*q**3 - q**2 - 51*q - 8. Let j(d) = 6*c(d) + 5*x(d). Find the second derivative of j(s) wrt s.\nAnswer: -174*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42\/793 - 667\/2379. What is the second biggest value in 1\/4, 3\/790, r?\nAnswer: 3\/790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -44, -0.1, -0.14, 0.61 in decreasing order.\nAnswer: 0.61, -0.1, -0.14, -0.5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/391 + -8101\/8602. Let g = -39\/110 - k. Let 1\/5*j**4 + 0 - g*j**3 + 3\/5*j**2 - 1\/5*j = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105 - -69 - -56) + (2 - (-2 + 1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/18 + -2*2\/18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857115.1 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172.8 and 0.01.\nAnswer: 1.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**12*d)\/d**(1\/4))**(-14) assuming d is positive.\nAnswer: d**(-385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2583857 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, -11, -1668, 3, -27 in increasing order.\nAnswer: -1668, -27, -13, -11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 + 438940*y\/9 - 24083540450\/9.\nAnswer: -2*(y - 109735)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmmzztzttzmmzzzm. Give prob of picking 1 t and 1 z.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.9327 - -1.2167. Round h to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 - 5 = -m, 3*m + 4*x = -2. Suppose 0 = m*q - 6*q + 136. 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: What is 440302967 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4316 by -24.\nAnswer: -1079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 + -0.271. Let o = 0.221 + w. What is the closest to 0.1 in -5, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 7*g + 20. Calculate y(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(4032)*2 + sqrt(28).\nAnswer: -4 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 9*p**2 - 10*p + 17*p + 0*p - 3*p.\nAnswer: 9*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19510165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v + 9. Determine y(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - (8 - 13) - 20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870863?\nAnswer: 3, 623621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*n**2*y + 542*n**2 - 28*n + 28412289*y - 1068 wrt y?\nAnswer: -11*n**2 + 28412289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 416.8238 micrograms?\nAnswer: 0.0000000004168238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + (-10 + 4 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5915.444ng to tonnes.\nAnswer: 0.000000000005915444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 10*u - u + 0*u. Let r be g(10). Let q = -39 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y - 3. Let j be r(5). Let v be (8\/(-10))\/((-1)\/5). Let 6*i - 4*i - 3*i + j*i**2 - v*i**5 + 13*i**4 - 15*i**3 = 0. What is i?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*l - 2 - 8, -3*l = 5*h - 67. Let w(n) = h + n - n**2 + 35 + n. What is the tens digit of w(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249871 is divided by 121654.\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3367 = 81*a - 9118. Sort -4, 3, 5, a in decreasing order.\nAnswer: a, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -o - 5, -5*p + 10 = -4*o - 9. Let i(x) = -x**2 + 9. What is the smallest common multiple of i(0) and (9 - -1)*(6 + 30\/o)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(468))**2 - (sqrt(468) - (sqrt(468) - (-4 + sqrt(468)*2))**2).\nAnswer: -54*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204 - 133. Let v = 70.939 - d. What is v rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -40, 1, -15, 4 in decreasing order.\nAnswer: 5, 4, 1, -15, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*z - 35 = 0, 2*z + 140 = 5*q - 0*q. What is the least common multiple of q and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 3*w. Let v be q(5). Let l = v - -19. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(104*v**4 + 98*v**4 - 34*v**4) + (v + v + 2*v)*(-2*v**3 + 3*v**3 - 2*v**3) to p*v + w + d*v**2 + r*v**4 + j*v**3 and give r.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.009.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 444363256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iovzvzifffzivzrivfvo. Give prob of sequence ifr.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -774 + 1212. Suppose 2*p = i + i + j, -p + 225 = -3*i. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12604727 and 4.\nAnswer: -50418908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/3 + -6. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 + 24*c**2 - 29 - 28 - 20*c - 4*c**3.\nAnswer: -4*(c - 4)*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxxk when four letters picked without replacement from {n: 2, x: 9, k: 7}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1274 + -1272. Suppose -2*o + 6*o + h = 157, 3*h + 9 = 0. Suppose 12*w = v*w + o. Solve -w*l + l - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i + 4*i + 17. Is 3173 - (-12 + 15 + -2 + i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141514\/7 + -20184. Let o = 32 - n. What is the third smallest value in o, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + -3 - 4 - (28 + -22 - 18).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 972*k + 366963. Give q(-378).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -305 - -148. Let j = -152 - n. Solve 4*r = 3*k + 5, -3*k - k + 45 = j*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 5593?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5962615 * 0.3\nAnswer: 1788784.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y + 36. Let m be i(4). Suppose 4*k + m = 168. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*n - 13369 = 110*n + 44*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 10*f + 11. Suppose -h = 4*h + 4*s - 28, -5*s = 15. What is the units digit of c(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 15. Let d(p) = -29*p**2. Determine d(g(a)).\nAnswer: -29*a**2 + 870*a - 6525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 528\/99*(-17826)\/(-16). Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21274.94 + -21274.98300106. Let c = p - -0.043. Round c to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 569, 1209, 2311, 3881, 5925?\n\"Answer: z**3 + 225*z**2 - 42*z + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 32 = 3*f. Calculate the common denominator of f\/(-2)*(8 + -6) and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -p - 478, -3*l = 4*p - 33 - 47. Calculate the remainder when 1353 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5619?\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(256) - (sqrt(256) - -5*(sqrt(256)*2 - sqrt(256)))))\/(-4*sqrt(8)*2 - sqrt(24)\/(sqrt(3)*2)).\nAnswer: 200*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(143)*1)\/(sqrt(44)\/(sqrt(4)*2 + sqrt(4))))**2.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/221)\/((-3)\/507)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 2*y**2 + 3. Suppose 102*h = 42*h + 827 + 433. What is the remainder when v(-3) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2892582, 2892583, 2892584?\n\"Answer: s + 2892581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 + 0.07. Let g = -0.2 + t. Let z = 2 + -4. Which is the closest to -1? (a) 1 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46837*b**2 - 56927?\nAnswer: -93674*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(-6 - (5 - 11)). Let j be (7 - 15 - (-2 - m))\/(-2). Solve 4 + 8*h + h**j + 0 - 6*h**3 + 2*h**3 + h**2 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = 1, 2*k - 4*d - 68 = 0. Suppose -l = -k + 27. Suppose -8*b + 6 = -l*b. Put 2, b, 5\/3, 2\/3 in increasing order.\nAnswer: b, 2\/3, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3.5. Let d be (116\/(-348))\/((-14)\/(-12)). What is the biggest value in -2\/17, d, x, -0.02?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -66 + 3\/5*n**5 - n**3 + 0*n**4 + 0*n + 13\/2*n**2. What is the second derivative of w(u) wrt u?\nAnswer: 36*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 62\/14 + (-4)\/16 and -31\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*z - 0*z - 3375, 5*z - 5*h = 3330. Let l = z + -4688\/7. Factor 3\/7*t**4 + l*t**2 + 0 + 3\/7*t + 9\/7*t**3.\nAnswer: 3*t*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 9*m + 1. Give k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/46332 and -25\/11149164.\nAnswer: 122640804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 4*k**2 - 13*k - 5. Calculate the remainder when s(-7) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 7*q + 2. Solve 4*t - t = 3*d + 27, 3*d - q*t = -22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Convert -4 (base 5) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c867 (base 13) in base 11?\nAnswer: -78298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z**2 + 5*z. Let b(j) = 4*j**2 - 2*j. Let p(d) = -11*b(d) - 6*c(d). Find the second derivative of p(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6 + 16426*s**2 - 16399*s**2 to the form t + w*s + r*s**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/11, -0.259 in decreasing order.\nAnswer: -2\/11, -0.259, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l + 1293 = 1337*l. Let m(k) be the third derivative of -k**4\/6 - 2*k**3\/3 + k**2. Let x(p) = -p - 1 - 2*p + 2*p. Give l*m(a) - 2*x(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 162 = -0*o. Let l be -59 + (9\/7 - 1)*7. Let v = l + o. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -5, 20, 5, -15 in descending order.\nAnswer: 20, 5, -4, -5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4\/6 + 925*i**3\/3 + 88985*i**2\/6 - 2532650*i + 56224830.\nAnswer: 5*(i - 37)**2*(i + 222)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let r be g(-5). Let q be (2 - (-3 - -6))\/(4\/28). Let j = q - r. What is the least common multiple of 4 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5 + 17*j**2 - 3*j**2 - 11*j**2 - 5996*j**3 + 5995*j**3 - j - 2*j**2 - 11*j**2. Let i = 20 - 30. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -14. Let i = t + 9. Solve p = -p + 4*a - 18, -i*p = -4*a + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1856\/55 + -314\/11. Let t = 1035 + -1491. Let n = 1805\/4 + t. What is the common denominator of h and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29098 = 5*a - x + 29070, 0 = 3*a - x - 12 - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -31873980?\nAnswer: -1\/3187398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*a + 4*f - 16, -2*f = -6. Suppose 16*v - a = 69. Solve -v*p - 24 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 38*d**2 - 56*d + 412. List the prime factors of f(-24).\nAnswer: 2, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(100) - -5*sqrt(100))\/(sqrt(2) + sqrt(2)*-3*4))**2 + -3.\nAnswer: 1558\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 385 - 158 = 0. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1189376 and 20240.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482*x**3 - 3019*x + 738*x**3 + 733*x**3.\nAnswer: -11*x**3 - 3019*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v + 2. Determine x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 141*g**2 + 78*g - 46. Give o(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 18511.\nAnswer: 92555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -20. Calculate the greatest common factor of 33 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 97, 51, 27, 49, 141, 327?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137639 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/23 + 67\/184. What is the nearest to 0.2 in u, -0.1, 3, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 270*j**2 + 1377*j**2 + 5060*j**2 + 0 + 0 + j**2 + (3*j**2 + 0*j**2 - j**2)*(4 + 0 - 3).\nAnswer: 6710*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1396 - 1396 + 266*w**2 + ((1 + 2 + 1)*(2*w - w + w) + 2*w + 3*w - 7*w)*(-2*w - w + 22*w) in the form u*w**2 + i + k*w and give u.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, 0.09, 0.01, -0.4, -0.04?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/9 - 4126*t**2\/9 - 10294*t\/9 - 1372\/3 = 0. What is t?\nAnswer: -1029, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)*2\/12. Let x = 1 - 1. Are w and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 60. Let m = d - -56. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/11 + 396\/(-363)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10)*3) - 5*(sqrt(8)\/sqrt(4))**2.\nAnswer: -10 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2021487 divided by -118911.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v - 160*v - 216*v.\nAnswer: -315*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o + 2. Let d(w) = 6*w + 2. Let m = 10 - 9. Suppose -x + 6 = -m. What is x*b(y) - 6*d(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - o**2 + 2957*o**3 - 871*o - 2955*o**3 to the form h*o**2 + d*o**3 + n*o + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.8, -4\/7, 0.5, 3\/4, 32?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30923251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 12 = -24*b. Differentiate 11*p**2 - 88 + b - 85 - 10*p**3 - 18 wrt p.\nAnswer: -30*p**2 + 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76373077 at most 76373077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from yyyowwq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -17 + -10 - 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 39, -5, -4, 3.\nAnswer: -5, -4, -3, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-4)*2*(-1)\/4*(-774)\/43.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (179 - 77) - -128\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 21. Suppose 42*b - 1777 = -97. Let r = c - b. Solve r + 11 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, q: 1, m: 4, w: 4, b: 1, v: 3}. What is prob of picking 1 w and 2 j?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/20 - 4*b**2. Let p(t) = t. Give u(p(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 35. Let w be x(18). Let a be 45\/25 - (w + 12\/15). Let i be (1 - a)*(-5 + 1) + -3. Which is smaller: i or -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -25. Put t, -5, -2 in ascending order.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/15 (b) 0.3 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 222 = 111 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-180)*-8)\/(576\/(-270)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 22 + (12 - 10 - 11) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 0.041.\nAnswer: 0.0861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 + 3188683*a**4*t - 3780763*a*t wrt a.\nAnswer: 20*a**3 + 38264196*a**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259653609?\nAnswer: 3, 67, 430603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 1. Let s = z - -4. Is 2\/7 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.346 + 0.3231. Round m to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 774 and 293442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9568864 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 212*c - 18566. Determine l(57).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 4071*w**2\/2 + 6*w - 6. Let a be d(14). What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.945575 kilometers?\nAnswer: 794557.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 6 = 4*c. Suppose -c = -f + 58. Calculate the remainder when f is divided by -30*(-7)\/14 - -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -7 (c) 1\/3 (d) -363 (e) 2\/537 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.97 + -0.03. Let v = -27979 - -83936\/3. Which is the second biggest value? (a) 6 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5 + 1. Suppose 0*p + 2*p + 14 = u*j, 0 = -3*p - 2*j - 6. Is p < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -6\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 11 + 14. Suppose -j*s = -145 - 30. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o = -53*o - 11 + 121 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136348?\nAnswer: 2, 89, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*r - 6, 0 = -2*q + 1 - 7. Let o(j) be the third derivative of 0 - 6*j**2 + 1\/54*j**4 + r*j**3 - 1\/270*j**5 + 0*j. Solve o(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/3)\/(p*p**(-3\/13)*p))\/(p**(5\/6))**(-46) assuming p is positive.\nAnswer: p**(497\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5491.77 take away -0.24?\nAnswer: 5492.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*t**3 + 5 - 2 - 3.\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1050784)\/(-2240) + 1 + 22\/(-20) is divided by 122?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11578220 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(500) - sqrt(500)*-4))**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 6*n)*(-n**4 - 1 + 1) - 17*n**2 + 17*n**2 - 5898*n**5 + 7766*n**5.\nAnswer: 1866*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0756 - 48.\nAnswer: -47.9244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (37*(-760)\/(-4218))\/(8\/(-6)*8\/(-32))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let z(o) = -o**3 - 10*o**2 - 18*o - 14. Let k be z(-8). Let r(p) = -k*p + 3*p + p - 3*p. Give m(r(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003071736 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.2, -0.4, -45, 146, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o + 210. Let y be g(18). Let s(j) = j**2 - 11*j - 8. Let h be s(y). Suppose -v - 100 = -4*q, -14 = -3*q - 5*v + 84. Solve -q + 6 = h*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 - 3*a**2)*(-a + 43 + 53 - 76).\nAnswer: a**3 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 7, p: 2, x: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/y**(5\/3))**(-5\/4) assuming y is positive.\nAnswer: y**(115\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**3 + 3*m**2 - 12*m - 19. What is o(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 14*a - 20*a**2 + 6*a**2 - 6 - 5. Let b be i(13). Suppose 4 = 2*k, -b*k + 3*k = -3*q + 110. Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7152, -14303, -21454, -28605?\n\"Answer: -7151*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + f = -135, -90 = -3*i + 6*f - 3*f. Let y = 66 - i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5, 5*u + 2*y = -5 + 30. Suppose -u*b + 9 = -0*b. Suppose -4*f - 3*c - 25 = 0, -c + 16 - b = -4*f. Sort f, 1, 3 in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -5*r**4\/24 + 15*r**2. Let f(x) = -4*x. Suppose -29*w - 14*w = -14*w - 58. Determine w*z(h) - 3*f(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3354 is divided by 125?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 401\/17, -3, 0.19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 32*r - 72 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.032 - -3.968. Let g be (-1)\/(3\/((-36)\/(-3))). What is the third biggest value in g, m, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44224 = 558*l + 42550 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -101, -98, -111, -146, -209, -306, -443?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 13*c + 16. Let d(o) = o**2 + 15*o + 29. Let p be d(-3). Is 12 a factor of a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 17*u**2 - 13*u + 13. Let s(j) = j + j**3 + 8*j**2 + 2*j + 3*j - 6. Determine 13*s(y) + 6*t(y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azna when four letters picked without replacement from nxooanxxzoootoa.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 4*d + 4. Let r be s(-4). Suppose r*w - 136 = 4*h, 4*w - 3*h = -w + 164. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 3, 0.\nAnswer: -6, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q - 0. Suppose -3*m = q*y - 98, -m - 5*y + y = -35. Suppose 4*j + 3*x = m, 2*j + 5*x - 13 = 6. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 56. Calculate o(-25).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684433 at most 145217418\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 462455577 a multiple of 7474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -320419468 divided by 68\nAnswer: -4712051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*c - 37 = 0, l + 3*c - 6 = 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -21, 19, 83, 177?\n\"Answer: g**3 + 3*g**2 + 6*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, i: 1, a: 3, t: 2, f: 1, c: 1}. What is prob of sequence ef?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let n be r(-2). Let h be ((-3)\/4)\/((-1)\/n). Let s = 16 - h. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -57229 (b) -1\/3 (c) 0.04 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 220?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s\/(s*s\/s**(-1\/2)*s)*s)))\/s)**(-31)\/(s**(3\/4)*s*s**(-10)))**(-16) assuming s is positive.\nAnswer: s**(-876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -2, -16, -291, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -388\/3. Let p = 13.1 - 6.2. Let n = 5.9 - p. Which is the closest to 1? (a) r (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11044 + 12?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6337 + -6318 + -25 + 1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 4*t**3 - 26*t**3 - 101 + 101 to the form b*t**2 + u*t**3 + p*t + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/30)\/(2\/(-6)). Suppose 4*g - 364 = -6*l + 3*l, 5*g + 2*l = 455. Suppose k*a - g = -3*x + 3*a, 125 = 4*x - 5*a. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.07 - -23.97. Is t less than or equal to 728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472\/(-26) + 3 - 51\/(11271\/(-34)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 1 (c) 2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -866 + 878. Suppose 120 = 5*t - 0*t. Calculate the greatest common factor of t and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/((-6)\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2285*b - 933*b - 1083*b in the form v + s*b and give s.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -285895.508 rounded to the nearest 100?\nAnswer: -285900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2)\/sqrt(9) + (sqrt(756)*2)\/sqrt(12) + -5 + sqrt(6300)*-1 + 5 + 5*(sqrt(6300) + -2)**2.\nAnswer: -618*sqrt(7) + 31520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + x - 28. Give z(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69636 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2775 divided by -3\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 231 + 222 = 0. What is the closest to 1\/8 in w, 0.3, 0.4, -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*x - 44, -3*x + 32 = 4*v - 2*x. Suppose 20 = -3*d + v*d. Calculate the remainder when 29 is divided by (-3*d)\/(1\/(-1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000031646082 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 0 - 4\/3*i.\nAnswer: -2*i*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.86 - 18.16. Let m = f + 17. Let g = m - -0.3. What is the nearest to g in -0.1, 5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)*v\/((v**1*v)\/v))\/(v*v*v\/((v\/v**6*v)\/v)*((v*v**3)\/v)\/v) assuming v is positive.\nAnswer: v**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*h - 61, -3*q = -2*h - 0*h + 85. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.1, -127, 1.053?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - -128 - -1*(3 - 4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2004579.70739 and 0.228.\nAnswer: -2004579.47939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 10*d + 2*d**2 - 2 - 5)*(-16*d**2 - 19 + 19) to the form z + i*d**2 + c*d**4 + n*d + k*d**3 and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 8. Let n(q) = 1. Let o(g) = -i(g) + 5*n(g). Let b be o(-2). Is b > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = -0*i. Suppose -y + 747 = 2*d + 3*d, -2*y + 2*d + 1470 = i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61222, 244180, 549110, 976012, 1524886, 2195732?\nAnswer: 2988550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977*g = 984*g - 49. Solve -22*p = -g*p + 105 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164 + 211. Let s = 303 + -256.25. Let q = s - y. Round q to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 61.9. Which is the nearest to -2\/5? (a) -2\/11 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*u = -74, 135 - 271 = -4*q + 12*u for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*m - 4 - 1 - 3 + 66*m - 121*m - 177*m**2 as t + a*m**2 + s*m and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 257*d - 762 = 0.\nAnswer: 3, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 445492?\nAnswer: 17819680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8475610817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32\/128*(-4)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237 + 135. Let s = 22 - 25. List the prime factors of 22*(t\/3)\/(-1 + s).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/42*8\/7\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31 - (0 + 2)*1. Suppose 4*w - 23 = -h, -h + 16 + 9 = 5*w. Let a = q - h. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -355424*x. Let y(j) = 157*j**2. Calculate y(h(w)).\nAnswer: 19833216504832*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 + 2*s. What is w(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s, b - 3 = 2*s - s. Suppose 9 = a + b*a. Suppose 0 = -3*k + 5 + a. Solve -6*l = -5*l - f - 2, 3*l + k*f - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 2*v**2 + 4*v + 2. Let k be p(3). Solve -5*n - q = -k*q - 25, -3*n + 15 = 5*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37257? (a) 0.4 (b) 9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290424475?\nAnswer: 5, 11, 1056089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 2*j + 75. What is the least common multiple of 12 and o(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1034*m = 1036*m - 10190. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 44. Let w be 14\/((-448)\/(-120))*(-40)\/(-6). Suppose 0 = b + w - 24. Put b, -2, l, -5 in descending order.\nAnswer: b, -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464190 and 5550?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -710 + 1800?\nAnswer: 10b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1313\/37555 + 6\/203. Let l = t + 559\/740. Let n = -1321\/9 + 147. What is the nearest to -2\/5 in n, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8868 = -200*t - 106*t - 8574 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2286 + -899. Let u = t + -1389. Let k(i) = -i**2. Let z(f) = -2*f**2. Suppose 5*r + 4 = 14. Calculate r*k(b) + u*z(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487 - 5959 = -4*j - 8*j. Is j a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - (-10 + -2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75395172 divided by 4?\nAnswer: 18848793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14051, 28101, 42153, 56207, 70263?\nAnswer: 84321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -45*p**3 + 11*p**2 + 34*p - 81. What is the ten thousands digit of w(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/21133356 and 103\/84533424.\nAnswer: 84533424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 9:26 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - x - 6. Let u be m(3). Is 4\/18*1 + (-32745)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -166536*n. Let u(g) = 2*g**2 + 39*g. Calculate s(u(b)).\nAnswer: -333072*b**2 - 6494904*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2402 + -2391.89. Let q = r - 9.7. Let p = 1.41 - q. Which is the closest to p? (a) -0.3 (b) 2\/11 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 131 + -294?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(2 + -2*sqrt(112)*4))**2.\nAnswer: -3456*sqrt(7) + 258129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 14*q**2 + 37*q + 150. What is z(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -24, 66, 234, 504, 900?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 140*k**2 + 1405*k + 47. What is a(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 3, 1\/8, 2.48, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.41 and -0.3?\nAnswer: 2.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*z + 10 = 0, -4*v - 4*z - z + 18 = 0. Suppose 2*r = -2 - 0, -3*f + v*r + 176 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6 - 2 = 2*t + 2*s, 3*s + 258 = -70*t + 7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1554)\/(-10) - 70\/50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -65*c + 137. Let m be v(2). Let o = 49 - 37. Solve -o*s = -m*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 37*z**2 + 6219*z + 54. Calculate q(-168).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**2 + 1907*s - 1921*s - 29 + 28*s**2 + s**3 + 0*s**3. Is y(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - 2) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 59729*n - 10930407. What is m(183)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 106*t**2 + 246*t - 7. Calculate w(33).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vhhhvhrr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 723 + 361 + 368 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**3 - 138*s**2 + 38*s + 68. Let p(w) = -6*w**3 + 69*w**2 - 18*w - 34. Let u(g) = -3*f(g) - 7*p(g). What is the tens digit of u(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27 + -1)\/(-2) - -1. Let o be -1 + 2*n\/6. Solve 2*t = o*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2536245736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -259228*g + 2851483. Determine t(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/11*g**3 + 51\/11*g**2 - 18\/11*g + 0 = 0. Calculate g.\nAnswer: 0, 3\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 4479*g + 4485*g + 58, 2*g + 2 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 480376*t**2 + 9608120*t + 48041600 = 0. What is t?\nAnswer: -10, 240208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-56))\/(6484\/1815520).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2453365.3 + -2454525.4233. Let u = -1160 - c. Round u to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 33\/(-8))*-8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -0.4, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from ffznz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/60 - 2*y**5\/15 + 11*y**4\/24 - 2*y**3 - 2*y**2 + 52*y. List the prime factors of j(9).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/13 + 148678*d**4\/13 - 8927762*d**3\/13 + 675314*d**2 = 0 for d.\nAnswer: -74399, 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, l: 2, q: 3, c: 5, o: 1}. Give prob of sequence clul.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 15*j**2 + 14*j - 23. Calculate l(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -14. Let d = 4477 - 1741. What is the smallest common multiple of d\/60 - (-4)\/f and 18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v - 49*v - 48 = 0. Let a(g) be the third derivative of g**5\/60 - 3*g**4\/8 + 11*g**3\/3 - 8*g**2. Let l be a(v). Solve 0 = n - l*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 75. Let j be 1*-864*(2 + 24\/(-9)). Suppose 4*d - 10*d = -j. What is the remainder when d is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 14*o**2 + 5*o. Let w(u) = -u. Calculate t(w(l)).\nAnswer: 14*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 91. Let z = 172 + -103. Let x = z + v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 22 - 17 - 24*o.\nAnswer: 5*o - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -1 - (-10 + -10 + 36 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 17. Let k be t(-8). What is the highest common factor of 63 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3))**(-47))**38 assuming n is positive.\nAnswer: n**(-1786\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 6. Solve -4*r + 0*r - 23 = h*t, 2*t + 17 = -3*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105151?\nAnswer: 71, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 + 7*b - 32. Let y be a(6). Calculate the smallest common multiple of y*2\/(-8)*-2 and (-8)\/10*35\/(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x = 77*x + 8*x - 755 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 219 and 14533?\nAnswer: 14314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 85*k + 4. Suppose 7*b - 6*b = 40. What is the lowest common multiple of b and c(-17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -632, 5, -3 in ascending order.\nAnswer: -632, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cba6 + a?\nAnswer: -cb9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82886, -86280, -91936, -99854, -110034?\n\"Answer: -1131*k**2 - k - 81754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from uryuptdtd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1323) + (sqrt(1323) - (sqrt(1323)*-2 + sqrt(1323)))*3)\/((sqrt(3600)*1 + sqrt(3600) + sqrt(36))\/sqrt(4)))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -290 + 544. Let f = 356869 - 3928355\/11. Let b = f + n. Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -36*(-1)\/(-6)*-3. Suppose 12*k = s*k - 282. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(1700))*4.\nAnswer: -240*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/43070 and -53\/3504.\nAnswer: 1033680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18582 - 18582. Solve -28*r + 24 - 108 = l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**4 + 3*g**3 - 11*g**2 - 3*g - 1. Let r(w) = w**4 + 4*w**3 - 12*w**2 - 4*w. Let h(u) = 4*a(u) - 3*r(u). Find the first derivative of h(x) wrt x.\nAnswer: 4*x**3 - 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -2)*(23 - 4). Suppose z + q + q = l, 3*z - q - 100 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -13. Suppose 37*n - 33*n = 3*b - 10517, 0 = 3*n - x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1102, -1099, -1086, -1057, -1006, -927, -814?\n\"Answer: y**3 - y**2 - y - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4fa (base 16) in base 10?\nAnswer: -1274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -196, -380, -576, -748, -860?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12877 - -12878. Put z, -4.5, 4 in decreasing order.\nAnswer: 4, z, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 32*j**2 + 42 - j - 34. Is y(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -204 + 60. Suppose -5*d + 6*x + 196 = 10*x, -d + 5*x + 16 = 0. Calculate the greatest common divisor of a and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 5)*(q**2 - 2*q + 2*q) - 102*q**2 + 394*q**2 + 373*q**2 to the form f*q**2 + l + z*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 27\/20*z**5 + 4*z + 0 + 0*z**3 - 1\/2*z**4 + 13*z**2. Find the second derivative of r(s) wrt s.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 3\/4 (c) 14.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*j - 46 - 70, 7*j + 5*w + 151 = 13*j + 16 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 6 = -5*q. Let y = 2645 - 13224\/5. Which is the second smallest value? (a) y (b) -1 (c) 1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 116. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 531\/38 or 8?\nAnswer: 531\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xretrzc. What is prob of picking 1 r, 1 t, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23 + -31 + (-165)\/(-20) + (-15)\/(-4). Solve q*s - 17 = d, 2*d - 236*s + 240*s = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 + k + 2. Let d be q(0). Let j(c) = -d + 208*c + 28 - 209*c. Let t be j(24). Solve 5*y - 5*r = 0, -t*y = r - 5*r - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 5, k: 8}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*o = -469, 8*d + 2*o - 461 = 7*d. Let g = 2329\/5 - d. Solve -g*b**3 + 2\/5*b**5 + 24\/5*b**2 + 0 + 18\/5*b - 8\/5*b**4 = 0 for b.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2. Suppose -h + c = -9, 0 = -5*h - c - 3*c. Suppose 5*u + v + 3*v = 55, u + h*v - 27 = 0. Let g(b) = -u + 2*b**2 + 7. What is g(y(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4620 - -6506. Does 46 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (690\/(-30) + 29)*10\/(-6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 333847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 5, g: 2, y: 5, v: 6, r: 1}. Give prob of picking 1 r and 1 g.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 551*t**6\/15 + 613*t**5\/60 + 2*t**2 + 984. Find the third derivative of k(r) wrt r.\nAnswer: 26448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20117 is divided by 6208?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1495390 + -789390. Round w to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.8 + -7. Let v = p + -0.7. Let z = -2 - -2.2. Which is the third smallest value? (a) -3 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236 + 427. Suppose 28*s - i = 15*s. Calculate the greatest common divisor of s and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1062949005 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/((-13)\/39)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53256243 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -8 - (-4 + 4) - (-13 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183263 is divided by 8330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -30, 86, 77 in decreasing order.\nAnswer: 86, 77, -2, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 274\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.3, -1\/2, 665, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:05 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 48*g**3 - 3*g + 53*g**3 + 0*g.\nAnswer: 101*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -41. Let z be 5*(g + 4\/(-10)). List the prime factors of ((-1)\/(-3))\/(z*(-3)\/(-162)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -33 + 17 - 4) + -10\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172548046 divided by 86274023.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8383 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21690, 22169, 22648?\nAnswer: 23127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866, 1059, 1254, 1451?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s = -56*s - 109*s - 352 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, -411, -413?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 1. Let j be o(3). Let w = 0 - j. Let t(y) = -3*y**2 - y + 1. Calculate t(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 175\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-11 - -13 - 3) - (21 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*o**3 + 15*o + 3514 wrt o.\nAnswer: -99*o**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 times 2?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-8 + -11) - 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 51 = -5*t - 64, -4*p + t = -11. Solve 11 = 2*k + 25*w - 28*w, k = p*w + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n + 37*n + 2 = 0. Solve y = -y - n*o, 0 = -2*y + 4*o + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2\/1299, 0.2502?\nAnswer: 2\/1299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1416 + -1437. Which is bigger: l or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 6. Let c = -8.999986 + f. What is c rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyzdpxdpzyzzy. Give prob of sequence zyd.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68838 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (38\/95)\/(2\/20). Let b = 637\/9 + -71. Put q, -1, b in descending order.\nAnswer: q, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 - -1e?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.06 (c) -43 (d) 42 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713136 (base 10) in base 9?\nAnswer: 3200874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a + 13*c - 76 = -122*a, 5*c - 35 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16704 and 395136.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -129000 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b + 400 = 1344. Solve b*y + 4*y = -40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/201)\/(-68 + 66)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 g, and 1 x when four letters picked without replacement from ggmzigiigzgzxxg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and 83\/(-8)*200\/(-300).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 3. Let a be ((-6)\/(-4) + 0)\/(21\/28). Let y(t) = -9*t**2 + 22*t**2 + 25 - 53*t**a. Determine 25*p(x) - 3*y(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/11, 3273, -0.1?\nAnswer: 3273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 135*y + 1373. Let g be c(11). Suppose 0 = -2*n - 2, 2*p = 4*n + 2 + 4. Let b be p + 2 + (-4 - -1). Solve 2*q + 5 - g = b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 12. Let g be v(15). Find the common denominator of -37\/4 and (g\/(-30))\/(3\/(-163)) - -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/32 - (-1)\/4. Is (38\/4)\/((-1)\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 493, 915, 1537?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 0. Let l(a) = a**3 + 5*a**2 - 5*a - 5. Let d be l(z). Suppose 4*t - d = -t. Solve 2*h = h - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(88\/(-44)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 4*a - 3. Let l be w(2). Suppose -3*b + 448 = l*b. Calculate the remainder when 99 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*a. Determine u so that 616*u**3 + 3*u**2 + 3*u**4 + 606*u**3 - 1213*u**3 - 6*u - 3*u**5 - 6*u**a = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 12*q - 12. Let i(t) = -t - 1. Calculate i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 167, 358, 675, 1160, 1855, 2802, 4043?\n\"Answer: 7*i**3 + 58*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 112.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 + 4*m - 55. Calculate v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 2*z = -45*t, -z = 5*t - 6. Let h = -1.2 - -1. Let r = 8 + -10. Which is the closest to t? (a) 2 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -1\/12*n**4 + 1\/15*n**5 - 2\/105*n**7 - 26*n**2 + 0*n**3 + 0*n**6 + 0 + 1\/168*n**8 + 0*n. Solve v(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3290.97 + -3262. Let b = c + -29. What is the nearest to b in 4, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -13. Let t(y) = 6*y - 1. Suppose -6 = -2*w - 2*o, 5*o - 5 - 5 = 0. Calculate the remainder when f is divided by t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let j(f) be the third derivative of 0*f + 0*f**3 + 10*f**2 - 23\/60*f**5 + 0 + 0*f**4. Determine s(j(t)).\nAnswer: -529*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058151885 to six decimal places.\nAnswer: 0.005815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 + 685. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from abbaaaaaaab?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p - 5. Give l(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-60)*4*(-5)\/5\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*v + 2. What is the closest to -5 in -1\/4, -6\/11, v?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**4\/12 - i**3\/6 - i**2 + i + 1. Let d(m) be the first derivative of z(m). Determine c, given that d(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(8\/5)\/f*f)*f*f\/(f\/f**(-7\/8)) assuming f is positive.\nAnswer: f**(-19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6685? (a) 0.5 (b) 1 (c) 0 (d) -4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2165 or 322370\/149?\nAnswer: 2165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**2 - 43*c + 90. Give t(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - (1 - 3)) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 108*f**2 - 1177*f + 348. What is c(-118)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2 + 10 + 6*n + 4*n + n. What is the tens digit of z(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201676510 - 21867.\nAnswer: 201654643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -51. Suppose 5*l - 2*z = -7*z + 60, -x*z + 14 = l. Calculate the remainder when 17 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15b - 12?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -306 - -309. Suppose 1024 = s*h + h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 2 = -5*s + 5*o, -s - 6 = -2*o. Sort -10, s, -4 in descending order.\nAnswer: s, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461465*w + 461454*w + 913 = 0 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d3e (base 16) in base 5?\nAnswer: 1343331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, -4, -0.3621, -6 in increasing order.\nAnswer: -6, -4, -0.42, -0.3621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4925*a**5*b - a**3*b**2 + 448*a**2*b**2 - 15*a**2 - b**2 wrt a?\nAnswer: 295500*a**2*b - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5463 or -5466?\nAnswer: -5466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -27*g**3 + 186*g**2 - 135*g. Let z(m) = 11*m**3 - 75*m**2 + 54*m. Let w(p) = -5*s(p) - 12*z(p). Factor w(l).\nAnswer: 3*l*(l - 9)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 3. What is the lowest common multiple of 18 and m(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-13))\/(836\/(-5434))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*t - 124*t - 196 - 300 + 151 - 190*t as f + d*t and give f.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l + 7*l - 4*l + 6. Let y = -2 + 15. Calculate the remainder when t(2) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -0.063?\nAnswer: 0.00504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162796256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - -306. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19973 - -19960. Which is bigger: -1\/82 or a?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15992 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442 a factor of 1466501974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 3, j: 3, l: 5}. Give prob of picking 1 l and 2 j.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 18*d = -822. Let v = d + 4240. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 - 3 = 0, 0 = 2*y - t - 34. What is the remainder when y is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + (sqrt(13) - sqrt(52)\/sqrt(4))) + 3 + (sqrt(117) + (sqrt(117)*-2*5 + sqrt(117) - sqrt(117)))\/((sqrt(99)*2)\/sqrt(11) + sqrt(9)))**2.\nAnswer: -48*sqrt(13) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + 72. Suppose -2*m + r + i = 0, -3*m + m + 184 = -3*r. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/10 - 3*b**3\/10 - 7*b**2\/10 + 3*b\/2 + 9\/5 = 0. What is b?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4496792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 2, d: 1, u: 1}. What is prob of sequence uddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 10. Let j = -32 + 39. Solve 0 = q*d - 4*b - 0*b + 14, 4*d - b - j = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -307\/3 - -102. Which is the third smallest value? (a) -0.2 (b) g (c) 0.1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*h = r + 100, 0 = -r + 4*h - 142. Sort -2, 5, r, 1, -3.\nAnswer: r, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 - 2*a - 2. Let v be s(3). Let c = -121 + 125. Solve -5*n + 4*j = 11, -v = c*n - j - j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58 + (1 - 0)*0. Suppose 5*x = -2*l + 272, 166 = 5*x + l - 105. Let n = a - x. Solve 20 = -n*k, 0 = 4*z - 2*k - k - 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 3540414 - 3540414.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.233300257 to four decimal places.\nAnswer: 0.2333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2508 = 18*l + 2346. Solve -d - 4*y + l = 6, -2*d + 5*y = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zseeesaseazs. Give prob of sequence zsas.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -16?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/9 (c) 52\/85 (d) -6\/7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhhp when four letters picked without replacement from hlhhwpwpwwwphhwhhpp.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.07 (b) 0.14 (c) 28\/13 (d) 6 (e) -1\/3 (f) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let s be (-1)\/m*(-4 + 4). Suppose s = -13*l + 9*l + 8. Solve 4*a - 16 = l*g, -g - 4*g = -5*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4811 or 4810?\nAnswer: 4811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 6 + 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33345 divided by 13\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + x**2 + 2*x**2 + 6*x**2 + 34094*x - 34097*x.\nAnswer: -26*x**3 + 9*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 85*j**2 + j + 275 - 275 as q*j + t + a*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11)*h*h*h*(h*h*h**(-7))\/h*h)\/(h*h**(1\/2))**(4\/5) assuming h is positive.\nAnswer: h**(-166\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 472 - 454. Suppose o = -26*b - 34. Is 113 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-5\/2))))\/((m**(-8)\/m)\/m)*(m**(-2\/7)\/m)**(1\/4) assuming m is positive.\nAnswer: m**(229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 3 + -8 - 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/16 in -1, 0, -2\/3283, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - 0 - 1 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(-4 + (-1224)\/(-308)). Let n = -0.07 + 3.07. Which is the fourth smallest value? (a) u (b) -5 (c) -6 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1392 and -35\/2212584?\nAnswer: 4425168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 895869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275527435.\nAnswer: 5, 151, 364937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Let u = b - 1. Let x = u - -5. Calculate the lowest common multiple of 11 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57778, 139, -2 in descending order.\nAnswer: 139, -2, -57778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7982 = -285*t - 1997. Put 4, t, 65 in decreasing order.\nAnswer: 65, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*w + 1224469 + 1154128, -3*w = -3*r - 1783968. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01610895 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18. Solve -2*n + 4*n + 2 = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2850*a - 82589. Give f(-29).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 48. Let m(q) = 8*q + 62. Calculate 6*b(g) - 5*m(g).\nAnswer: 8*g - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12247035 (base 8) to base 9\nAnswer: -5075237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2188 + 443234*n - 443240*n - 100 to the form u*n + s and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 4 + -5 - 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, 0, -11, -4.\nAnswer: -328, -11, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.074 + -66. Let t = -0.07478 + y. What is t rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 53 + (47 - 0) - (-49 - -36)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 836*u - u**2 - 1 - 838*u. Let o be i(3). What is the highest common factor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 57. Let v(w) = -w**2 - 25*w + 138. Let b be v(-30). Give a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n + 2 - 2 - 3*n + 2*n + 0*n + (-2*n + 4*n + 0*n)*(0 + 1 + 1) + (-2*n + 3*n + n)*(0 - 2 + 3) + 3*n - 4*n + 2*n - 4*n - n - n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-16)\/(-5) + 5\/(-25). Suppose 4*p - c*p - 8 = 0. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Suppose m + 13 = -2*k, 3*k + 2*k + n*m = -37. Let d = k - -6. Solve 0 = -2*a + 3*a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*u = 29, -5*q - 52 = 4*u - 21. Suppose -3*k + 6*k - 15 = 0. Let m = k + q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = -33*y - 36*y + 376 + 224 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47756228 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*6\/72)\/(3\/(-12)). Solve -2*l = -4*z + 26, -680*z + 681*z = -l + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 810 - 786. Suppose 13*f - 17*f = -132. What is the remainder when f is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*v + 20, h + 0 = -v - 1. Which is the closest to h? (a) 1\/2 (b) -1 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834479\/68 - -6 - (1 + 5\/(-4)).\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62416, -249464, -561142, -997450?\n\"Answer: -62315*j**2 - 103*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*d - 4*a + 8, 4*d - 10 = -2*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 81*q - 181. Calculate x(40).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (466470\/(-15549))\/(2\/8)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000040616 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 3*i**2 - i - 19. What is f(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.38619 litres in millilitres?\nAnswer: 61386.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886.071 rounded to the nearest integer?\nAnswer: 3886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -220 + 4*g + 220. Suppose 0 = -4*w - 2*h + 5*h + 25, 3*w + 5*h = -3. What is i(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)*t)\/t**(1\/2)*((t\/((((t*t*t*t**0\/t)\/t)\/t)\/t))\/t)\/(t\/(t\/t**(-3\/13)*t)) assuming t is positive.\nAnswer: t**(-189\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4625 or 4647?\nAnswer: 4647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/4 - 2*u**3 + u**2 + 7*u - 2. Let g be t(6). Suppose -4*b + 14 + 22 = 4*d, b - d - g = 0. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(-4)\/9. Let z = -39896 - -39892. Let v = -0.8 - -0.4. What is the closest to 1\/3 in z, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1659\/632*(-7)\/((-63)\/12).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 - 369 = 3*n, 4*n - 2466 = -3*r. Calculate the remainder when 4130 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, g: 4}. Give prob of picking 3 g.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 44836*i + 583544.\nAnswer: -4*(i - 11222)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = -3*j. Suppose 0 = -3*f + j*f - 12. Let o(q) = -q**2 + 6*q + 5. Let h be o(f). Put -3, -4, h in increasing order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51975.2219 rounded to the nearest one hundred?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*w = 305, w = -3*b + 6*b + 225. Let q = 1719 - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*w + 5*b, 8*w - 4*w + 45 = -5*b. Let d be (-2)\/6 - w\/(-6). Find the common denominator of 55\/2 and (d\/21)\/(2\/48).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 28 = 5*b - 2*f, 4*b + 22 = 2*f. What is the tens digit of 430\/6 + (-2)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10\/3)*u*u**(-8\/5))\/((u**(-13)\/u)\/u**19) assuming u is positive.\nAnswer: u**(451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*o + 4, -o = o - 3*g + 18. Sort 2, 4, o.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 1 + 1)*(p**2 - 2*p**2 + 0*p**2) + 5*p**5 - 5*p**5 - 2*p**5.\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + (-4*sqrt(304))\/sqrt(8) + sqrt(76)\/sqrt(32))\/(-1*sqrt(242)*1*2).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -138. Let x = 50 + r. Suppose x*i + d - 277 = 0, 5*d = -2*i + 46 + 74. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 45*v - 31. What is h(16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:45 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102996.4692 rounded to the nearest 1000?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 5}. What is prob of picking 3 q?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 93 = 129. Solve -8*q = -10*q + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7333843 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 - (-234)\/(-12). Let i be 3\/(-4)*(0 + b). Let c be 14\/20 - 3\/i. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1439, -3023, -4617, -6227, -7859, -9519, -11213, -12947?\nAnswer: -14727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -166, -251?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v**4 + 17458271*v**3 + 197128910*v?\nAnswer: 60*v**2 + 104749626*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5337, 5330, 5319, 5304, 5285, 5262, 5235?\n\"Answer: -2*k**2 - k + 5340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477567 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50, -0.244, 16, 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -50398.\nAnswer: -50398.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + -0.5. Let g = 283.3 + -284. What is the second smallest value in r, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -97989*b + 783968. What is m(8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3106131 (base 7) to base 3.\nAnswer: -200220010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -113. Let r = -6563 - -6554. Which is the closest to 0.1? (a) -2 (b) 0.3 (c) r (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4*c)**(-13)\/(c**(-12\/7)*c\/(c**6\/c)))**(-2\/141) assuming c is positive.\nAnswer: c**(-148\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2639\/(-378) + 2 + 5. Let d(y) be the second derivative of 1\/54*y**4 + w*y**3 - 7\/180*y**5 + 0 - 4*y + 2\/135*y**6 + 0*y**2. Factor d(b).\nAnswer: b*(b - 1)**2*(4*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*i - 8, -4*s + 53 = 3*i + 9. Solve s*u = 3*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4201, -4212, -4221, -4228, -4233?\n\"Answer: s**2 - 14*s - 4188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*n + 2*n - 11, 0 = -3*n - i + 32. Let x = 37 - n. What is the highest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*f = 708*f + 135 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*d - 2510*c**2 + c - 15*d**4 - 22*d**2 wrt d?\nAnswer: c**2 - 60*d**3 - 44*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**(2\/35))**(2\/27) assuming a is positive.\nAnswer: a**(4\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)*b)\/(b\/(b*b**(-6\/5)*b)) assuming b is positive.\nAnswer: b**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from nyv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(4\/15)\/w*w*w)\/(w*w**(-4\/29)))\/(w**23*w*w\/w**25*w) assuming w is positive.\nAnswer: w**(176\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/3 - 4*o**2 - 4*o + 3074. Suppose 0 = 5*g + 15 + 15. Let t be w(g). Solve -3*f + t - 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)*b*b**6*b**(-3)\/b*b*((b\/(b**(3\/5)\/b))\/b)\/b*b assuming b is positive.\nAnswer: b**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2155352883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2088 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13442902423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o + 20. Give l(-8).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3202101 - 301?\nAnswer: -3203002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.34918, 0.3, -3\/2, 2\/19 in decreasing order.\nAnswer: 2, 0.3, 2\/19, -0.34918, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -2 + (14 - (-13 - -26))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (2 - -1) + -1. Suppose -35 = -5*q + 2*z, -4*z - 31 = -p*q - 3*z. What is the smallest common multiple of q and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*i**3 + 153*i**3 - 3*i**2 + 149*i**3 - 451*i**3.\nAnswer: i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -p + 3250095, -133*p + 4*x = -130*p - 9750280. What is p rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((49\/(-252))\/((-74)\/(-1184)))\/(2\/(-3))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -5*h**3\/3 - 165*h**2 - 302. Suppose m(q) = 0. What is q?\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330 + 330 - 180*x to the form t + q*x and give q.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060507*p + 1060541*p = -1802 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from xxxjbuuxejjx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1584)*-2)**2 - sqrt(44)) + 1*(sqrt(1584)*3 + 2).\nAnswer: 34*sqrt(11) + 6339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 9:37 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s - 30 = 0. Let u(w) = -14674*w**2 + 3*w - s*w - 3 + 14*w. Let d be u(-13). Round d to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -2264\nAnswer: 18112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + 8.60116?\nAnswer: 8.00116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6050 - 18374 = 26*u. Let o = 547 + u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -874500 rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42937.0642 - -0.1524918.\nAnswer: -42936.9117082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w + 4. What is l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let z(x) = -234*x - 5. Let f(r) = 231*r + 7. Let v(q) = -3*f(q) - 4*z(q). Calculate h(v(s)).\nAnswer: -486*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1861931*z. Let w(l) = -2*l. Calculate w(k(x)).\nAnswer: -3723862*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 229968 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.513 + 14.293. Round c to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7901180 + -7901180.026299798. Let g = v - -0.0263. What is g rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 8. Let q = 58 + -59. Let m be (9 - -10)\/(q\/(-15)). Let w be (-2)\/(-3)*m\/38. Give l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21285.915 months to millennia.\nAnswer: 1.77382625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276348 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100793 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053864 is divided by 351284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c**2. Let f be p(0). Suppose 4*h = 2*i - 20, 4*i = -f*i - 3*h + 51. Suppose 30*t + i - 5*t**2 - 17 - 40 = 0. Calculate t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*w**3 + 3910*w + 5*w + 287*w**3 - 559*w**3 - 812*w in the form n + o*w**3 + k*w**2 + u*w and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325 + -319. What is the smallest common multiple of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 108 = 5*n. Suppose -n = -5*j - 3*l, 0 = -5*l + l + 20. Let i = 17 + -9. Solve 4*g + i = 0, w - 6 = g + j*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 65*m + 64.\nAnswer: (m + 1)*(m + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 15*v = -72. Let p = -2 + 4. Solve -v = -4*q + 5*x, 4*q + p*x + 26 - 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**6\/180 - z**4\/12 - 5*z**3\/3 + 29. Let p(w) be the third derivative of l(w). Suppose -4*h + 7*h = 6. Determine p(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 + (-78)\/(-5). Suppose 5 = -m, 0 = q + 5*m + l - 113. Suppose -3*f + q = -4*n, -2*f = -f - 3*n - 49. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**3 - 2*s + 1. Let d be x(1). Let o(z) be the first derivative of 2*z**2 + 12*z - 21. What is the tens digit of o(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 40 + 32. Suppose -3*a + 161 = -5*p, a - 2*p + 3 = 58. Calculate the remainder when a is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309*j + 297*j + 1947*j**2 - 221 - 604*j + 76 wrt j?\nAnswer: 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + r - 2 = 17, -4*r = n + 9. Let w = 6 - 7. Let a = 5 + w. Put n, a, -4 in decreasing order.\nAnswer: a, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 116 - 67 - (9 + (-2 + 0 - -1))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205983 is divided by 1191.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y - 2. Let i(b) = b + y - 2. Let u(j) = -22*j + 40. Let r(t) = -8*t + 15. Let d(g) = -8*r(g) + 3*u(g). Calculate d(i(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + (-54)\/(-10). Suppose -o*p + 160 = -30. What is the remainder when 73 is divided by p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 25 = 183. Let k = -362\/7 - w. Do k and 41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23868 + 23868.03074. Which is smaller: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0.0384443.\nAnswer: 3.9615557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Suppose 2*y - 5*z - 32 = o, -4*z + 13 - 5 = 0. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -141819 (b) -4 (c) -0.08 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 14*j**2 + 18*j + 15. Let n be z(12). Let t = 47 + n. What are the prime factors of 2\/5 - 276\/t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305640 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21102001 + -3?\nAnswer: 21101443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*x - 4*c - 12, -6 = x + 2*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 > -4326\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 - 4*t + 3. Let p be f(1). Let w(y) = -3*y - 4. Let b be w(-4). Let i = b + -11. What is the second smallest value in i, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.9646951582 and -10.9.\nAnswer: -7.9353048418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 + 286. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0, -21, -72, 42.\nAnswer: -72, -21, -4, 0, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112330 and 22705?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zalpc. What is prob of sequence ca?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1601829 divided by 59327\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14189 divided by 7.\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 30.4. Let x = 8.1 - 8. Which is the closest to x? (a) -4\/3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) -147 (d) -5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + 111. Let b = -83 + t. Let u = b - 66.0073. Round u to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155480*h - 24943 wrt h.\nAnswer: -155480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/245)\/((24\/(-392))\/(-1)))\/(2\/24).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 7*m**2 - 16*m - 7. Let q(p) = -p**3 - 7*p**2 - 15*p - 7. Let f(n) = 7*q(n) - 6*x(n). Give f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) 0.1 (c) 20 (d) 5 (e) 1435178\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -4, 3 in descending order.\nAnswer: 8, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -323, -327, -337, -353, -375, -403?\n\"Answer: -3*h**2 + 5*h - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1496 = 3*z + 38*z + 3*z for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144.446813598 + 1757026.548323598. Let b = g + -1756893. Let i = b + 10.9. Round i to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**3\/6 - d. Let i(y) be the third derivative of 0 + 0*y**3 + 0*y**4 + 1\/30*y**5 + 3*y**2 + 0*y. What is s(i(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.3, 74, 4?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 0.05, 5, -197, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 10 - 2*y - 3*y. Let q be s(9). Let x be q*-8*(1 - 3). What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8836*i + 94428 = -8104*i for i.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*s = -17 + 4, -3*n - 29 = 4*s. Let f be (-858)\/(-36) + n\/(-18). What is the greatest common factor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 10*x = -968. Let l = 459 + x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by -2?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:28 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 90, -3.7 in decreasing order.\nAnswer: 90, 4, -0.5, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t + 4. Let w be r(-4). Let p(u) = -4*u + 89. Let z be p(22). Put -1, w, z, -2 in descending order.\nAnswer: w, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1)*1*9. Suppose f - 3*f + 1552 = -2*b, -3*b + c = 0. Suppose 0 = 4*v - 153 - f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 y when three letters picked without replacement from {w: 2, f: 1, v: 2, o: 1, y: 2, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b - b)*(2*b - 2*b + 3*b) + b**2 + 3*b**2 - 6*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/3 - 420293*v\/3 - 2521866 = 0. What is v?\nAnswer: -18, 420311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-6) + 3\/9. Let v = -0.17 + 0.1. Suppose -10 - 2 = 3*w. Which is the second biggest value? (a) v (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(18 + -8) + 105*21\/(-105)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37\/15 - 14\/5. What is the nearest to 1\/4 in b, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1325 = 3*g + 2*y, -8*g + 3*g + 3*y - 2240 = 0. Let s = g + 914. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j = 56*j - 19530. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(-4 + sqrt(704) + -1)**2*4.\nAnswer: -23328 + 2560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170889395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/7)*y)\/y)**(-4\/27)*(y**(2\/7)*y)**(-3\/11) assuming y is positive.\nAnswer: y**(-125\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12744 and 2646?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 + 2 + -170 + 170).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12174538034 - 839?\nAnswer: -12174538873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9\/10, -24, 2\/7, -0.1, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.1. Suppose -2*t - 4*i - 24 = 2*t, 3*t + 4*i = -20. Let l be 18 - 19 - (1 + t). What is the second smallest value in 10, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-14))\/(12\/42). Determine f so that -11*f**q - 30*f**3 - 21*f**2 - 5*f**4 - 13*f**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2, -2, 1246, 3\/10 in descending order.\nAnswer: 1246, 2, 3\/10, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*u**2 - 14427 - 3*u + 14427 as m*u**2 + l + v*u and give m.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -5*q**4\/24 + 56*q**2. Let a(d) = -2*d**2 - 9*d. What is a(n(o))?\nAnswer: -50*o**2 + 45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(125))**2 + 2 + (sqrt(125) - (sqrt(125) - (1*sqrt(125) - sqrt(125)))) + (1*(sqrt(180) + 0 + sqrt(180) + 2))**2.\nAnswer: 128*sqrt(5) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 6*n**2 + 6*n. Let d(h) be the second derivative of -9*h**5\/20 + 17*h**4\/12 - 17*h**3\/6 + 2*h. Determine 6*d(b) + 17*i(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 174785 - 174786 - 2*f. Let b = 35 - 34. Let i(u) = -6*u + 1. Give b*i(y) + 5*p(y).\nAnswer: -y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 12*z + 82*z + 1881 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*h - 15000 = 167*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2104 or 2039?\nAnswer: 2104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1262 - 145 = 469*b. Let i(u) = u**2 - 4*u - 1. Determine i(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*l - 3 = 2*q, 3*q - 4*l = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/16 and -53\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -b65 (base 14) in base 3?\nAnswer: -10002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, 1, 4, -49, -5.\nAnswer: -49, -5, 1, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 6*q**2 + 12*q**2 + 979*q**3.\nAnswer: 979*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52)\/sqrt(4)*-2 - (sqrt(208) + -5))**2 + (4*sqrt(1911) + sqrt(39))\/sqrt(3).\nAnswer: -31*sqrt(13) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1029 + 239 + 20 + 2158*q + 1557*q - 526 wrt q.\nAnswer: 3715","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 4*a**2 + 3*a - 3. Let g(d) = -21681*d + 7*d**2 - 5 - 21656*d - d**3 + 43342*d. What is 3*g(t) - 5*x(t)?\nAnswer: 2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5478, -5215, -4778, -4167?\n\"Answer: 87*a**2 + 2*a - 5567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29597ffa + -1?\nAnswer: -29597ffb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 11*g**2 + 22*g + 11. Let s be j(8). Suppose -5*p - s = -d, 245 = -4*d + 2*p + 2273. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 818715572579143008472\/9163 - 89350165994585398. Let f = 171423880 - m. Let d = f + -1\/833. What is the common denominator of d and -74\/81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-2\/11)*d\/(d*d\/d**0)*(d**2*d)**7 assuming d is positive.\nAnswer: d**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4394352 divided by 17648?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6788942.987 + 6793007. Let y = -4060 + r. Let d = y + -4. Round d to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6808.416 weeks in minutes?\nAnswer: 68628833.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 564 + -564. What is the third smallest value in -3, 193, c?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -55\/985128?\nAnswer: -55\/985128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.01364 to 2 dps.\nAnswer: -5.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90.1 + 89.9. Let s = 0.0536 - -0.4464. Which is the third biggest value? (a) s (b) l (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12887*a**5 + 55 + 28*a**3 + 12875*a**5 + a - 3*a wrt a?\nAnswer: -240*a**3 + 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*y - 184, -s - 4*y = 15 - 61. Suppose -59710 - 32105 = -107*d + 14008. What is the highest common divisor of s and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1 - 3*f + 11*f - 7*f. Let t = -12 - -7. Determine s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -174*b + 11. Let j(p) = 467*p - 23. What is 3*j(w) + 7*x(w)?\nAnswer: 183*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1282028, -1, 4 in descending order.\nAnswer: 4, -1, -1282028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 101*j**2 - 755*j - 2. Give w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -528*g**2 - 6*g + 24. Let z(q) = -528*q**2 - 5*q + 20. Calculate -10*t(k) + 12*z(k).\nAnswer: -1056*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47261*h**3 + 9*h - 1954 wrt h.\nAnswer: 283566*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10057 (base 12) in base 10?\nAnswer: 20803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73659, 294733, 663189, 1179027, 1842247, 2652849?\nAnswer: 3610833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230572438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 142*k**3 + 6 + 2*k**2 - 126*k**3 - 1 wrt k.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + j**3 - 2*j**2)*((-1 - 1 - 3)*(-1 - 1 + 4)*(3*j - 6*j + j) - 1 + 1 - 2*j) in the form a*j + o*j**4 + r*j**2 + m*j**3 + y and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/8, -34?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2\/3 - 19825*w\/3 - 694260 = 0. What is w?\nAnswer: -3857, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*p + 102 - 71, -4*q - 16 = 4*p. Let y(x) = -2*x - 5. Let h be y(-5). Solve -q = -h*j + 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 5*g - 7. Let j be v(-5). Let p be (-2)\/(-4*1\/(-6)). Is p\/(9\/6) + j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95\/45838 or -1?\nAnswer: -95\/45838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 - 2*q - 1. Let l be a(-1). Suppose -3*j = -p - 14, 2*p = -p - 5*j + 14. Sort -4, p, l in ascending order.\nAnswer: -4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 56495\/(5\/(-1)). Round n to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7414 in 5, -3, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -57*f**2 + 21*f - 21. Let g(j) be the second derivative of 4*j - 2 - 5\/6*j**3 + 5\/2*j**2 + 7\/6*j**4. Calculate 21*g(x) + 5*v(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -47*n**3 - 19*n**2 - 6*n. Let h(g) = -26*g**3 - 10*g**2 - 3*g. Let a(k) = 11*h(k) - 6*l(k). Let w be (3\/2)\/(6\/(-8)). List the prime factors of a(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -11*h**4\/24 - 67*h**3\/3 - 28*h**2 - 1. Does 6 divide s(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -6.1. Let h = o + -5. What is the nearest to h in -4, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 3:38 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/9? (a) -0.4 (b) -2 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (11 - 3 - -12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7007.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222111 + 1220111?\nAnswer: 221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w = -44. What is the least common multiple of w and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235 + 351. Suppose 61*f + 37 - 220 = 0. Find the second derivative of 116 + 3*q**f - 11*q - v wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001361241 to 7 dps.\nAnswer: -0.0001361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -23.28. Let r = -2.72 - v. What is the nearest to -1 in -0.2, r, -0.5, 1\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3\/7 - 25008*o**2\/7 + 624178*o\/7 - 2845212\/7 = 0.\nAnswer: 6, 19, 12479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14718 is divided by 65?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(10)*2))\/(sqrt(21)\/(sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4)))) + -4 + -5*sqrt(24)\/(sqrt(48)\/sqrt(4)))**2*3.\nAnswer: 132*sqrt(2) + 459\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = -2*v, -v - 2 = -3*v + u. Suppose v = 2*f - f. Is 0 equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {n: 5, o: 1, j: 2, p: 1, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/24 + p**3\/6 + 866*p**2. Let j(r) = -11*r - 5. Determine -3*c(y) - j(y).\nAnswer: 14*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 331 - 326 = 0. What are the prime factors of d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + -0.31. Let z = -4 + 3. Let f = z + 2. What is the closest to f in -4, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {t: 2, m: 3, e: 4, z: 2, u: 1, v: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-2 + 1)) + 20\/12. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4654320 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 2.1, 1, -1\/11, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/21 or 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2916804 is divided by 181?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 6865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-30 - -8)) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57079*i*m + 49733*i wrt m.\nAnswer: 57079*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12112?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 - 52. Suppose 0 = -k + a + 227. Suppose -3*r - 4*t + 475 = 0, -k = r - 5*r - 3*t. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 5}. Give prob of sequence sscs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213.81 + 215. Let x = u + -1.18. What is the smallest value in x, -4\/3, -2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 808 = 4*y - q, -y + 191 = -3*q. What is the highest common divisor of 696 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 124 in -2\/5, -2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/36)\/(((-16)\/(-15))\/8)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 28*p**3 + 1588*p**2 - 2080*p + 464 = 0.\nAnswer: -58, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 + (-232)\/(-366). Suppose -2*i = 6*o - 9*o, 0 = 2*i - 5*o. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*o = 74*o + 304. Let m = -16 - -44. What is the least common multiple of m and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 - 0\/(-8). Let q = 21 + -24. What is the smallest value in -7, p, q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 91, 132, 211, 340, 531, 796, 1147?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**23 assuming k is positive.\nAnswer: k**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**2. Let a(w) = -4*w**2. Let v(p) = -5*a(p) + 3*q(p). Let k(m) = m. Let h(l) = 5*l**2 - 3*l. Let x(d) = -h(d) - 3*k(d). Give v(x(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(-4\/23)*(s**(-1\/2)*s)**4 assuming s is positive.\nAnswer: s**(58\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.05 times 29.096?\nAnswer: -990.7188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m**2 + 866*m**3 - 286*m**3 - 293*m**3 - 292*m**3 = 0. What is m?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18853520.4 rounded to the nearest 1000?\nAnswer: 18854000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 375089555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2)*n\/(n*n**(-3)*n))**(-15)\/(((n\/(n*n**(-1\/3)))\/n)\/(n**(-3\/8)\/n))**(-12) assuming n is positive.\nAnswer: n**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - (-6 + (1 - (-7 + 27))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + 8\/6. Suppose -12 + 188 - 92 = 4*g + 4*n, -1 = -n. Solve -2*h - g = w*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 + -89. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - ((6 - (-6)\/(-1)) + -277938) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = 5*m, -m = 2*a + 2*a - 17. Suppose -s - 3*j - 14 = 0, -3*j - 2*j = 25. Let w = 18 - s. Calculate the remainder when w is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2732613 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1032893, -2065819, -3098745, -4131671, -5164597?\n\"Answer: -1032926*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 2*q**2 - 6*q + 10. Let i be v(2). Solve -6*n - i + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1322 + 0?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/1)\/((-19)\/(-38)*8\/(-2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000000110001011001 (base 2) in base 4?\nAnswer: -3000301121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16322777 - 35110294310\/2151. Let b = 3\/239 + o. Find the common denominator of b and -53\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 11629.792?\nAnswer: -11629.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 4562*h**2 - 9122*h**2 + 4560*h**2 + 10*h - 10*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + 56. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-46)\/(-30))*(-126)\/(-147). Which is the nearest to v? (a) 2 (b) -2 (c) -19\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**4 - 22*a**4 - 5*a**4)*(-2 - 1 + 0)*(-3*a + 4*a + 0*a).\nAnswer: 63*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 26 + 24. Suppose h - 6*h = -l. Suppose h*r + 4*n = -r - 3, 4*r - 2*n = 18. Solve 4*k - 5*t = 5, 3*k - 5*k = r*t - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204848 (base 10) in base 9?\nAnswer: 341888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-20)*56\/4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, 5, 694.\nAnswer: -328, 5, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85499, 171042, 256579, 342110, 427635, 513154?\n\"Answer: -3*s**2 + 85552*s - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*h = -932, 9*l - 5*h = 4*l + 4645. Does 30 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**5 + 12*z**5 + 12*z**5)*(-960 + 302 + 219).\nAnswer: -10536*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 5*m - 85 = 0, m = -4. Solve 4*u + 17 - j = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3 - m**2\/2 - m. Let l = 28 + -19. Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6963 (base 12) to base 13.\nAnswer: -5460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 348, 337, 322, 303, 280, 253?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 4*d. Let n(p) = p**2. Let z(w) = 3*n(w) + x(w). Let g be z(5). Suppose -4*t + 7 = -g. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1)**(3\/13)\/(n**(-1)*n*n\/(n**(-5\/2)*n)))**4)**(-12) assuming n is positive.\nAnswer: n**(1416\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478.6587 millilitres to litres.\nAnswer: 0.4786587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1124, 1043, 902, 701, 440, 119, -262?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12729859 divided by 173.\nAnswer: -73583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(1540\/(-11319)) - 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -15. Let q be 1\/1*(2 - -1). Is 3 a factor of v + q - (-1 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**5*k + 23981637*f**2*k + 399*f*k - 3822*f - 4 wrt f?\nAnswer: 60*f**3*k + 47963274*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12383 by -1098.\nAnswer: -203\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 51, 71, 81, 75?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5004)\/90 - (-4)\/(-10). Let t be (-240)\/c + (-2)\/7. Suppose -t*v + 196 = 3*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28 (b) -2 (c) 5 (d) -2428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840 and 937888?\nAnswer: 14068320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 5*p**2 - 39*p + 69. Determine i(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j**2 + 44*j + 136. Give g(-5).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d + c = 10, 3*c = 2*d - 40. What is the least common multiple of d and 4*4*(-3)\/(-24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 109. What is the closest to 2\/5 in 5\/2, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 22*i**2 - i\/6 - 22.\nAnswer: (i - 1)*(i + 1)*(i + 132)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 850?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + 13 - 20) + (4 - 6 - 94) - -10?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22225326 (base 8) to base 10.\nAnswer: 4795094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2016 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24997 and 64442.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -4. Let o = -492 + 490. List the prime factors of 432\/20 - o\/q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n + 13. What is q(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 4*z + 11. Let s be v(5). Is 1*(-5 + s)*2533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1414.65677 to one decimal place.\nAnswer: 1414.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(3 - 3 + 2*k)*(-53*k + 71*k - 50*k) to the form a*k**2 + v + c*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8 = 0, -15 = 3*k - 2*q + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 86*j - 32660 = -41*j. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3282529 nanograms to micrograms.\nAnswer: 0.0003282529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 50 = 5*k, 3*k + 3*l = -33 + 3. Let j = k + 8. Is -12*(-2 - -1) + j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/126*((-172)\/1548 + 166\/36)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. What is the second derivative of 0*b**5 + b**5 + 6*b**5 - w*b**5 - 3*b wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/3 + 2*t**4 - 41*t**3\/3 - 38*t**2 + 148*t\/3 + 120 = 0.\nAnswer: -9, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-2) + 24\/16)*-1. Let t be n\/6 + 126\/28. Solve 4 = t*b + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 0 + sqrt(343) + -2 - (-2 + 0 + sqrt(343))) + 4*(sqrt(343) + -1)*1)**2*5.\nAnswer: -1400*sqrt(7) + 42955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + ((-6*sqrt(70)*-1 + sqrt(70))\/(sqrt(810) - -1*sqrt(810) - sqrt(810)))**2 + 0).\nAnswer: 686\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 1033720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let z(h) be the third derivative of h**5\/15 - 2*h**3\/3 + 2*h**2 + 112*h. What is the units digit of z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1831 (base 9) to base 2\nAnswer: -10101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) -1 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26)\/(p\/(p*p\/((p**10*p)\/p))*p)*p**(-2\/29)*p\/(p**(2\/73)*p))**(-33) assuming p is positive.\nAnswer: p**(2521728\/2117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 44156053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/14 and 137\/1849524.\nAnswer: 12946668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4 - 17*z**3 + 16*z**2 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/((-10098)\/945) + 3*1. Sort j, -4\/21, 1.\nAnswer: -4\/21, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/9 - 34*m**4\/3 - 434*m**3\/9 - 338*m**2\/9 + 48*m + 440\/9 = 0 for m.\nAnswer: -2, -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**3 - 54*w**2 - 2*w - 1. Let h(r) = 30*r**3 + 155*r**2 + 6*r + 5. Let s(o) = 4*h(o) + 11*x(o). Calculate s(26).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 311548*w + 1246160.\nAnswer: 2*(w + 4)*(w + 155770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -639 - -644. Calculate the common denominator of -68\/45 and ((-2)\/r)\/((-513)\/(-1938)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22.00417728 from -103.\nAnswer: -80.99582272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 - 2 + 2. Let q(o) = 4*o - 9. Let t(b) = -b + 2. Let w(u) = -u + 2. Let a(x) = 3*t(x) - 4*w(x). Let p(z) = 18*a(z) - 4*q(z). Give p(g(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/30 - 263\/(-30) and 3\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 175*l**2 + 4*l - 4. What is r(1)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p - 149 = -116*p + 2051 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*g**2 + 265*g**2 + 216*g**2 - 780*g**2.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 12. Let u = 111 + -244. Let l = u - -138. What is the second smallest value in -3, l, h, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (sqrt(425) - (sqrt(425)*-2 + 0 - sqrt(425)) - (sqrt(425) + sqrt(425) + -1 + 0)) + -2.\nAnswer: -3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {b: 4, k: 2, l: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-3)\/(-3) + -6 - 184. Let j = c + 199. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 382644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1592139, 1592113, 1592069, 1592007, 1591927, 1591829?\n\"Answer: -9*u**2 + u + 1592147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eem when three letters picked without replacement from {e: 15, m: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 47432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18953.8 and -3.\nAnswer: 56861.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4727352 + -7?\nAnswer: -4727360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/5 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803, -1593, -2367, -3125, -3867, -4593?\nAnswer: -5303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39126*l + 38853*l = -10920 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/7 - 318\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 + 163. Let m = -32 + g. Let d = m - -146.999998. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)*m)*m)**(-2\/95)\/(((m\/m**(-2\/5))\/m)\/(m*(m**(-2)\/m)\/m*m)))\/(m\/m**6*(m**7*m)\/m*(m*m\/(m*m\/(m**0\/m*m)*m))**(2\/19)) assuming m is positive.\nAnswer: m**(-412\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 493?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -25, -161, -417, -823, -1409, -2205, -3241?\nAnswer: -4547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 + -204.0155. What is y rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1170 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 4. What is the lowest common multiple of 18 and q(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 402362023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.15, -0.5, 102\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**5 + 2*h**4 - 1044*h**3 + 298998*h**2?\nAnswer: 300*h**2 + 48*h - 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*b + 90 = -944*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 = -32, 0 = n + 5*q - 25. Find j, given that 2\/5*j**5 + 4\/5*j - 2\/5*j**4 - 6\/5*j**3 + 2\/5*j**2 + n = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2139 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -10 (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 6437046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -15. Suppose -3*q - 77 = -4*o, v = o + o - 2*q. What is the third derivative of 4*p**6 - 17*p**3 + o*p**3 + 4*p**2 wrt p?\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - s - 2)*(562 - 284 + 551) as k + o*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.03*1.\nAnswer: -50.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 97*a**2 - 86*a + 829. Is l(56) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 187603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 59. Let w(f) be the first derivative of 0*f**4 + 0*f**3 + q*f**5 + 1\/2*f**2 + 1 + 0*f + 1\/6*f**6. What is the second derivative of w(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185759 + 2\nAnswer: 185761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(294\/8))\/((-2)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12 - 3*z + 0*z + z - 21*z**2. Let h be i(-6). Let u = 1583 + h. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-1 - (-2)\/1). Suppose -2*w = 3*y - 18, 5*y - 26 = -w - 2*w. Suppose -b = -5*b + w. Solve p = -b - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6 - 6*u - 10*u**2 - 7*u**2 + 3*u**2. Let z(o) = -5*o**2 - 2*o - 2. Let r(a) = -2*a + 8. Let m be r(7). Give m*c(y) + 17*z(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.059*-6.057\nAnswer: 0.357363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/((-9)\/6*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 6*r**4 - 2*r**4 - r**4 + 0*r**4 + 8*r**4 + 19*r**4 + 7*r**4 + (-r**2 - 1 + 1)*(r**2 - 3*r + 3*r).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d**3 + 12*d**2 + 64. Let o(q) = 2*q**2 + 1. Let t(z) = 6*o(z) - r(z). What is the first derivative of t(w) wrt w?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427382 less than 0.01?\nAnswer: 427382.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 942889 times 366?\nAnswer: 345097374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0053 + 0.02549. Round f to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Let l be (-27)\/f*(-8)\/6. Solve l*u - u = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.2. Let x be -2 + (-2)\/(8\/(-36)). Let u = x - 9. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18430766?\nAnswer: 2, 233, 39551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-30)\/(-184). Suppose -4*g + 2*q + 73 = 83, -g = -5*q - 20. Suppose -2 = -2*f + 4*f. Sort f, g, r in decreasing order.\nAnswer: r, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4286, -6 in descending order.\nAnswer: 3, -6, -4286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4471, -8526, -12581, -16636?\nAnswer: -20691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43290 and 245?\nAnswer: 2121210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6804 (base 9) to base 8\nAnswer: -11642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -64.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 7*f - 106. Calculate x(9).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 601*k + 709*k + 2*k as q*k + z and give q.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c + 27. Determine d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1869876 or -9?\nAnswer: -1869876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/9 (b) 58 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v - 28*v + 51*v = 1298 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/560 - d**6\/90 + 3*d**3\/2 - 12*d**2. Let i(o) be the first derivative of l(o). Find the third derivative of i(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxt when three letters picked without replacement from {n: 6, t: 2, x: 6, v: 1, i: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -356.58236 rounded to 1 dp?\nAnswer: -356.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 5 + (-3 + 2 - 1)*(0 - 3 + 5) + 0 - 2 + 0 - 3 + 3 + 1 + (-2 - 1 + 5)*(-9 + 1 + 1) + (6 - 5 + 1)*(1 - 6 + 3))*(-2 + 2 + 2*z).\nAnswer: -66*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*t - 1550, -5*t + 1611 = 3*g - 724. Calculate the remainder when g is divided by 227.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910 at least 10909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:02 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1938 - -0.4.\nAnswer: -1937.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 638 - 521. Suppose 0*p + 2*h = -p + 61, -4*p = -h - 199. Let i = w - p. What is the least common multiple of 2 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061 to 6 decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.41 + -0.3. Let t = -3.89 - h. What is the third smallest value in 1, t, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6289, 776, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11014 + 9583 = 2*g - 29*g for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose p - 7 = 5*h, -5*p - 5*h - 3 = -8. Suppose 4*x - 46 = -5*o, p*x - 16 = -2*x. Calculate the remainder when o is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.40061 from -25977100.\nAnswer: -25977122.40061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1765150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065191?\nAnswer: 13, 29, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/a**(-9)*a)*a*a**4)\/(a**(12\/11)*a*a*((a*a**(2\/23))\/a)\/a*a*a) assuming a is positive.\nAnswer: a**(-2828\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46904 and 1430.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:34 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 135431.3767 to the nearest 10.\nAnswer: 135430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 9. List the prime factors of (r\/(-3))\/((-2)\/(-146)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7 - 15*a + 12*a**2 - 3*a**2 + a**3 - 19. Let o be i(-10). Suppose 4*f - o = 6. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 858, 1717, 2576, 3435, 4294?\nAnswer: 5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9)\/((r*r**(-1\/19))\/r))**17)**(-2\/7) assuming r is positive.\nAnswer: r**(5780\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 32884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-810)*7 + 4\/(-5). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38198717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/98)\/(3\/(-12))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9*43 - (22 + -16)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 240*y**4 - 12*y**3 + 960*y**2 = 0.\nAnswer: -2, 0, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20042 (b) 0.3 (c) -33.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 20*j**2\/3 - 144*j - 176\/3 = 0.\nAnswer: -2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 951779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -116.06. What is i rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -77*g - 1497. Is 23 a factor of x(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*w - 80, -116*a + 48 = 4*w - 121*a for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*u - 20, 0 = 4*u - 3*t - 16 - 4. Suppose -26 = -u*g + 49. What is the highest common divisor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12546520 plus 17?\nAnswer: -12546503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/6)*s)\/(s*s*((s**(-1\/35)\/s)\/s)\/s*s)*(s**1)**5 assuming s is positive.\nAnswer: s**(1441\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1249 - 27483\/22. Let k = s - -21\/44. Suppose 0 = 2*w + 4*n - 14, 2*w = 4*w + 3*n - 12. Which is the closest to -2? (a) k (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/(-18))\/(22\/99). Let w = 3 - 0. Let q be 55\/f + (-2)\/w. Solve -4*t + q*m - 15 = 3, 5*t - 4*m + 23 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741878?\nAnswer: 2, 29, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1716 = 89*m - 776. Calculate the remainder when 164 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1985785 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4\/5 (c) -106 (d) 55\/3 (e) -0.7 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 + 10*b**3 + 4*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*n + 1 = 4, 3*n = 4*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-18))\/((-22)\/(-3))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90222.94284 - -1.64.\nAnswer: -90221.30284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204875?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*r - 2*h - 48, -r + 17 = -262*h + 259*h for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0532 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -52?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 430, 859, 1288, 1717, 2146, 2575?\n\"Answer: 429*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**(2\/7)\/((v\/v**4*v)\/(v**(-5)\/v)) assuming v is positive.\nAnswer: v**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1152776170*f**3*x + 63*f**2*x + 5*f**2 + 6440*f*x + 47*x wrt f?\nAnswer: 6916657020*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1746*r + 3\/5*r**2.\nAnswer: 3*r*(r + 2910)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let m = t - -2. Let h = 0.9 - m. Which is the third biggest value? (a) -3 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*p = 0, -199*p = 5*v - 198*p. Which is smaller: 1\/346 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -30*r - 20, 4*d + 5*r - 16 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 2*w**2 + w + 2*w - 2*w**2 - 2*w + (-w + w + w**2)*(2 - 6 + 3) + 8*w - 82*w**2 + 12*w + 86*w**2 + (w - 2*w + 3*w)*(4*w - 4*w + 2*w).\nAnswer: 3*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 = 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + ((-9)\/3)\/3. Let p(c) be the third derivative of c**4\/6 + c**3\/6 - 2*c**2. Calculate p(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*b = -1033*b + 780 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -68*m. Let k(i) = -2*i - 1. Let q be 1 + (-13 - 63\/(-9)). Let n(z) = -3*z**2 - 10*z - 5. Let v(x) = q*k(x) + n(x). Give v(g(h)).\nAnswer: -13872*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -39*u - 4. Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h**2 - 2 + 17 + 125*h**2.\nAnswer: -8*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b - 7\/2*b**2 + 2 - 2\/3*b**3. Find the second derivative of q(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(4\/9)\/((c\/c**(1\/13))\/(c*c**(-2\/11))) assuming c is positive.\nAnswer: c**(1009\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xdxxxxxdxxddxx.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - 80) + 2 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/3542*-23*7\/1*-24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*z + 12 = 0, -5*m - 9 = 4*z + 8. Let n = -8\/13 - -3\/26. Let b = -56 - -55.9. What is the nearest to m in b, n, -11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*k + 300*k - 597*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-29)*((s**(-5)\/s)\/s)\/s assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-42))\/((-12)\/(-54)))\/1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:17 AM?\nAnswer: 563","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, r: 4, n: 5}. Give prob of picking 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + 5. Solve -c*t + 4*k + 8 = 0, -k + 5*k + 8 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -23*x**3 + 2*x**2 - 2*x + 1. What is h(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -20 - (3 - (-2 + 8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 41*j**6\/120 + j**5\/60 + 3*j**4\/4 - 85*j**3\/6 + 2*j**2 - 20*j. Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**3\/5 - 112*q**2\/5 - 236*q\/5 - 24 = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 9*b**2 + 2*b**3 - 2 + 2*b**4 + 0*b**4 - 3*b**4 + 3*b**2 to the form y*b**3 + t*b + u*b**2 + z*b**4 + c and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43757 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 1. What is the units digit of b(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 87\/53 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0206 + 88.2206. Let b = -0.225 - 95.775. Let c = g + b. Round c to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1\/2 (c) 12 (d) -357 (e) 1\/4 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2078 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -15. Put -3, -1, b in increasing order.\nAnswer: b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1635)\/65 + 2\/(-91)*-7?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23758857, -47517716, -71276575, -95035434?\n\"Answer: -23758859*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let l(f) = 52*f**2 - 17*f + 18*f - 46*f**2. Calculate l(v(a)).\nAnswer: 24*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.9977 + -9. Round n to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 62 = g, 10*g - 218 = -3*o + 5*g. Sort 1\/4, o, 1\/2 in increasing order.\nAnswer: 1\/4, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -1939, 0.09?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7624575 is divided by 368?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 125. List the prime factors of (-498)\/15*o\/(-5).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53067, 106162, 159263, 212370, 265483?\n\"Answer: 3*w**2 + 53086*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 10:41 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7394, 2\/3, 5, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/7))\/i*i\/(i\/i**(-10\/11))*i*i\/(i*i*(i**(-1\/9)\/i)\/i*i)*i*i**13 assuming i is positive.\nAnswer: i**(9545\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 88 = -4*q + 9*q, 0 = -q - 2*j + 8. Calculate the least common multiple of q and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5 + 0*b + 3*b - 3 - b**2 + 3*b**2 - b**3. Let p(h) = -2*h**3 + 5*h**2 + 7*h + 4. Let v be 12\/(-15)*(-15)\/6. Determine v*p(s) - 5*r(s).\nAnswer: s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216952 is divided by 72207?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*g - 5. Calculate the common denominator of ((-34465)\/(-5490))\/(3\/((-18)\/(-4))) and ((-62)\/(-6))\/(g - 1).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283074 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/2625)\/((-8)\/10)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/15 + 38*m\/15 + 8\/3.\nAnswer: -2*(m - 20)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15002, -15021, -15040, -15059, -15078?\nAnswer: -15097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 - 4*t - 1. Let f be d(2). Let j(u) = -u + 28. Suppose 0 = -s - 5*z + 1 + 74, 0 = -4*z + 20. What is the remainder when s is divided by j(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236752 - 236752 + 9*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3302 - 42?\nAnswer: -3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -90. Suppose l = -7*s + 10*s. Calculate the greatest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aot when three letters picked without replacement from brbtoax?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - x**2 + (3*x - 3*x - x)*(2*x - 2*x + 2*x) + 5*x**2 - 5*x**2 - x**2 - 3*x + x**2 + 3*x + (2*x + 0*x - x)*(1 + x - 1) + x**2 - 5*x**2 + x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 0)*-5)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77450 = -47*b + 49967. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -71*(48\/(-4) - 5) is divided by 307.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70, 0, -1, 4, 8.\nAnswer: -1, 0, 2, 4, 8, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1784 - 1780. Solve 0 = w*v + q + 23 - 26, 3 = 5*v + 2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 = o, 0 = -o - 4*o - 2*l + 1. Which is the third biggest value? (a) o (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 7532*l - 7091378.\nAnswer: -2*(l - 1883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 383739 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1453, 1455, 1457, 1459, 1461, 1463?\n\"Answer: 2*y + 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -19. Suppose -l*p + 6 = 2*g - 11, -5*p = 4*g - 29. What are the prime factors of (-335)\/(-10) - (-3)\/g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190216 and 357422?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864 and 33?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.6 - -39. Let t = 14487 - 14486.8. Which is the second smallest value? (a) g (b) t (c) -34 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8966141746 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753698.\nAnswer: 2, 11, 34259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*x**2 + 15\/7*x - 1\/7*x**3 - 36\/7.\nAnswer: -(x - 3)**2*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 j, and 1 m when four letters picked without replacement from mdjjqqqq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let a = -1 + 2. What is the closest to a in -1, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(132)*3)\/sqrt(12)*-2.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.89 - 11. Let o = -1.89 + x. Let r = 3 + 2. What is the biggest value in o, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 9) to base 2\nAnswer: -10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**2 + 2*w + 16. Let g be i(-3). What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 5:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1487, -391 in decreasing order.\nAnswer: 1487, 3, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfv. Give prob of sequence vf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/(-3))\/(-73*(-153)\/(-145197))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/5 + 6*t**4 + 1553*t**3\/5 + 4218*t**2\/5 - 1160*t = 0.\nAnswer: -25, -4, 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201202010 (base 4) to base 16.\nAnswer: 21884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:51 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(-44))\/(3\/(-308)). Is w smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01485954 or 2\/119?\nAnswer: 0.01485954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20560.2885 to 0 dps.\nAnswer: -20560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 274, 411, 548, 685?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 3848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 14*s. Give z(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.17784.\nAnswer: -0.71136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 + -958\/5. Calculate the common denominator of y and -41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -33. What is the second biggest value in 2, -3, o, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8338485443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.5, -83, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 6165057*t + 12330102 = 0 for t.\nAnswer: 2, 2055017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18926292 at least 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36952 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let u be s(-2). Suppose -d - w - 4*w + 635 = 0, u*w = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Solve -o + 21 = 5*m - m, 0 = -i*o - 2*m + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*k + 2*k - 4*a, 5*k = a + 30. Solve k*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j + j)*(1 + 6 + 1)*(29 + j**2 - 18*j + 18*j).\nAnswer: 32*j**3 + 928*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.7 + 100.7. Let w = z - 141. Let i = w - -46.0021. Round i to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7318007 - w**3 - w + 3*w**2 + w + 7318663 in the form o*w**2 + q*w + f*w**3 + u and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-9) + 1)\/(40\/30). Let k(h) be the first derivative of 0*h**4 - 4\/5*h**5 + 0*h**2 + 0*h - 2 + n*h**3. Find the third derivative of k(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/12 - 267\/(-12). Let x = -13 + f. Suppose 0*p - 5*p + x = 0. Calculate the highest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 1. Let o(j) = j**3 + j. Let b be o(-2). Let x be 1799\/(-6) + b\/60. Let c be x\/(-135) - 4\/18. Give w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - 9*u**2 + 26*u**2 + 117*u**3 - 3354*u**3 - 11*u**2.\nAnswer: -3237*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -944 in descending order.\nAnswer: 16, 4, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baaaambammbma. What is prob of picking 1 m and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 30 = -2*a + 2*k, 0 = -3*a - 4*k + 10. Let t be (5 - 10)*12\/a. Let w = t - -6. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13020 - 7?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 + k. Let o be r(-3). Let u = o + -35. Let d be (u\/(-25)*2)\/(4\/30). Solve -2*g = -2*t - d, -4*t = 4*g + g + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Suppose 7*o + 4*t - 190 = c*o, o = -t + 39. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12759980 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2084, 2086, 2088, 2090, 2092?\n\"Answer: 2*y + 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2. What is g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*w**2 - w + w - w**2 + 4*w**2 + 5 - 5 + (0 + 2 + 0)*(2*w**2 - 2*w**2 + 2*w**2) - w + w - 2*w**2 + 2*w**2 + 2*w - 2*w)*(62*w + 54*w - 40*w).\nAnswer: 684*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k - 15*k + 36. Suppose -2*m + 2*q = -3 + k, m + 11 = -5*q. Sort 9, 5, m in descending order.\nAnswer: 9, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 11:25 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Let i = 1341.2 + -1341. Which is the third biggest value? (a) h (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120547 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 411?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 11*m**2 - 11*m + 11. Suppose d + 107*u = 105*u, 0 = -2*d + 2*u - 12. Let x(j) = j**2 + j - 1. Calculate d*r(i) - 44*x(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 31*x + 47. Let g be v(6). Solve -3*t = -g*s + 17, 2*s - 5*s + 11 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -22 + 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*((-34)\/(-12) + -3) - -1. Put -0.07, s, -2, 1\/4 in ascending order.\nAnswer: -2, s, -0.07, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 823*r**4 - 179*r**3 - 15873*r.\nAnswer: 9876*r**2 - 1074*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -43487.567287745.\nAnswer: 43489.567287745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 2652\/289)\/((-253)\/(-133331))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 3*t**2 + 2*t + 92. Is d(0) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -6 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*n + 5692 - 1261 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-116)\/(-12). Let c(z) = -3*z - 25. Let j be c(m). Factor -2\/7*r + 8\/7*r**3 + 0 - 6\/7*r**j.\nAnswer: 2*r*(r - 1)*(4*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 46 = w + 3*x, x = -w + 56. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/181089?\nAnswer: -4\/181089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108 - 81196618*s - 9642*s**3 + 16*s**2 + 81196619*s - 62*s**3 wrt s?\nAnswer: -58224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -19*v**2 + 511*v + 6684. Give y(-10).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5*(-18)\/(-30) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.4595, 3\/7 in descending order.\nAnswer: 3\/7, 0.4, -0.4595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 201.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.8. Let f = 177.7 + -178. Let r = d - f. What is the smallest value in -2, 0.1, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2244 in -0.5, 2, 4\/3, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let i(v) = -2 - 10*v**2 + 17*v**2 - 3*v - 6*v**2 - v**3. Let w be i(-2). Let q = -13 + w. Give s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p - 2*y + 12, -9 = -4*p - y. Let n be 1*3 - (1 - 0). What is the third derivative of 3 - a**4 - p - n + 2*a**2 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0108202 rounded to three decimal places?\nAnswer: 39.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 1\/3*k**3 + 1\/120*k**6 - 1\/3*k**4 + 0 + 0*k - 10*k**2 + 1\/12*k**5. Is 6 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -80 and -213.47237748234.\nAnswer: -293.47237748234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*u - 13881*b + 13877*b - 144, -3*b - 3 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1675889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfwrfipvpf. Give prob of sequence pv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -21, 27, 18.\nAnswer: -21, -3, 3, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3506994458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 7, -19, -25, 0, 4 in ascending order.\nAnswer: -25, -19, -15, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118 - -1016360?\nAnswer: 1016478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2460*s = -2452*s + 4*w + 92, -4*w + 25 = -s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n - 1217 + 8276. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1228.6 + -1229. What is the third biggest value in 0.1, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 8*h**3 - 3*h**3 + (-2*h - 1 + 1)*(h**2 - 3*h**2 + 0*h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432 divided by -4.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 8*c - 3. Let q(i) = 2*i**2 + 8*i + 2. Let d(a) = 7*q(a) + 6*x(a). Suppose d(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 5*c - 7. Calculate the remainder when q(-5) is divided by (3\/(36\/56))\/(2\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55195 (base 11) to base 7.\nAnswer: 452325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 252792426.6 to the nearest 1000000.\nAnswer: 253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 + 2*z + 3. Let k = 16 - 10. Suppose 0 = -7*i + 4*i - k. List the prime factors of o(i).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 0.2. Let c = -23\/6 - -11\/3. What is the nearest to u in c, 2\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1136 + 1126. Let t(g) = 8*g + 13 + 0*g**3 + 3*g - g**3 - 9*g**2. Determine t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) -21 (c) -3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.14 + 10.14. Which is the third biggest value? (a) -5 (b) -1\/4 (c) 0.3 (d) 0 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(1 - 5 + 5)*(-w**4 - 3*w**3 + 3*w**3).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v + 5. Let a be g(5). Let h be 2 - (a\/3 - 3). Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7942 divided by -535\nAnswer: 7942\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83021749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 22*g + 0.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/63 - -7 - 8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1712381 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + -10 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4 + 51185*j**3 + 460611*j**2 + 1381779*j + 1381752 = 0. What is j?\nAnswer: -51176, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/40 + 79*t**4\/4 + 6241*t**3 - 55*t**2 + 11. Factor f(u).\nAnswer: 3*(u + 158)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14629*i**2 - 4061*i + 104666538?\nAnswer: 29258*i - 4061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n*n**(-6))\/(n**1)**(-11) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/3 - -11\/9. Suppose 2*p - 33 - 29 = 4*x, p + 3*x = 51. Let n = -44 + p. Which is the second smallest value? (a) -0.5 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -755, -741, -727?\n\"Answer: 14*c - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066.816 tonnes in milligrams?\nAnswer: 6066816000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 + -195. Which is the nearest to 0? (a) 2 (b) -4\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 65*y - 897. Let m be s(20). Which is the second smallest value? (a) 1\/38 (b) 0.4 (c) 0.02 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 81456*h + 244316. Give l(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 93. What is the third derivative of -u**3 - 2 + 17*u**2 - 23*u**o + u + 2 + 26*u**4 wrt u?\nAnswer: 624*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 2 = 36*o + q, o = -3*q - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 1. Let q(d) = -10*d + 4. Let g(p) = -11*l(p) - 2*q(p). Suppose 3*y - 7*x = -10*x + 3, x = -2*y + 1. Calculate g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29 - 2 - (3 - 1). Suppose 3*j + j - 29 = -3*o, -2*j - 5*o = -t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h + 3*h + 58 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9494, 18260, 26302, 33626, 40238, 46144?\n\"Answer: g**3 - 368*g**2 + 9863*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -224, -225, -226?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2361787723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**3*x**4 - 280*f**3*x**2 - 72*f**2*x**5 - f**2*x**2 - f*x wrt x.\nAnswer: -96*f**3*x - 4320*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.840571 rounded to two decimal places?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41830 or 41822?\nAnswer: 41830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 347408 and 0.4.\nAnswer: 138963.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 + 3*q - 10. Let i be f(3). Let u be (-6 - i)\/(-3 + 1). Is 1371\/(2*(u - 5\/(-2))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 784 + 147?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225175 is divided by 75046.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 - 11 + 21 + 11*u**2 - 22*u**2 + 178*u as a*u + v*u**2 + q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000054262 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/(-99) + 663\/9. Are z and 75 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - p**3 + 4*p**3 + (-6*p + 3*p + p)*(-8*p**2 - 10*p**2 - 5*p**2).\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5423745 is divided by 187?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116 (base 15) in base 14?\nAnswer: 279a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*b + 54898 = 0, -2*t - 11*b + 6*b - 36595 = 0. What is t rounded to the nearest 100?\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -20751\nAnswer: -4\/20751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -3, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*f = 15, -3*y - 3*f + 7*f = -13. Is 7 a factor of ((-41)\/(-2))\/(y\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53290.31 litres in millilitres?\nAnswer: 53290310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) + sqrt(272) + 2)*1 - sqrt(272)*1*-6) + -2)**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/3)\/(4\/(-12)). Solve 0 = -2*r + j*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21081*d**3 + 17*d**2 + 6*d - 8. Let r = -229 + 222. Let u be j(r). Round u to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*i**4 + 2*i**2 - 2*i + 110?\nAnswer: 156*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 184\/(-94) - (-2)\/1. Let v(p) = p**3 - 6*p**2 + p + 19. Let m(q) = 8*q - 59. Let z be m(8). Let a be v(z). Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18864?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d**3 - 3*d**2 - 3*d + 3. Let l(k) = -1122*k**3 - 154*k**2 - 154*k + 154. Determine 154*j(s) - 3*l(s).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034241704 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/21 - 3\/7. Sort -2\/3, -2, i, -3.\nAnswer: -3, -2, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-104)\/4)\/(-1). Suppose 2*f - 5*p - 30 = -0*p, f = 4*p + c. What is the highest common factor of 185 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1350, -1354, -1360, -1368?\n\"Answer: -n**2 - n - 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18570*b + 193035 = 8481*b + 838731 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 85 = -58. Suppose l*a = 3*p + 27, -2 - 3 = p. Factor n**2 + 0 - 1\/3*n**a + 2\/3*n + 0*n**3.\nAnswer: -n*(n - 2)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 26646.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4713 = -23*x + 10007. Suppose -9*h - 352 = -x. What is the highest common factor of h and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - -22. Let f = t + -65.8. Let l = -0.2 + f. Which is the nearest to 0? (a) -0.2 (b) l (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 7. Let u(v) = -5*v + 6. Give 4*s(n) - 5*u(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*t - 2869343 = 4244403. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*245\/(-560))\/(-2)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) + 305\/42 + (-91)\/(-1274)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 4*n**2 + 4*n + 7. Let q(c) = -c + 5. Let w be q(0). Let a be t(w). Find the second derivative of 2*r + r**2 + r**a - r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -0.3, -19794.04 in increasing order.\nAnswer: -19794.04, -0.3, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-12) + (-2)\/(-4). Suppose 4*j + g = 13. Suppose 4*q - 14 = j*r, -3*r + 2 = -2*q + 6. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(-11\/6)\/(((m**(1\/7)*m)\/m)\/m*m*m**(-4\/3)\/m) assuming m is positive.\nAnswer: m**(-31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.5, -1, -2\/165, 2 in ascending order.\nAnswer: -1, -0.5, -2\/165, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507342 (base 9) in base 13?\nAnswer: 514697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11738, -23471, -35194, -46901, -58586, -70243, -81866?\n\"Answer: i**3 - i**2 - 11737*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 2*d + 3*d - 5*f, -40 = 3*d - 2*f. Let x(h) = -11*h - 16. Let i be x(d). Suppose 3*k - k + 4*b - 122 = 0, 2*k = 2*b + i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21225, -21418, -21611?\nAnswer: -21804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + -6 + 4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*t + 43 = 0, -t = -4*a + 4*t + 47. Let c be a\/(-39) + 2\/6. Put 3, -3, c in increasing order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b - 801 = 5919. Let z = -220 - b. Solve 2*n + 0*s = -2*s, 2*s = 3*n - z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-20)*(38720\/1152)\/(-121).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 5*q - 4. Let t(p) = -2*p**2 + 4*p - 5. Let y be t(0). Calculate w(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 40 = -416. Is (s + 17)*(1 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/22*((-2)\/14)\/(-17*47\/72709)?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344070 divided by -10339?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 5 + c**2 - 6 + 2 - 5*c. Let d be a(9). Let n be ((196\/(-10))\/(-7) + -2)\/(4\/10). Solve -4*x + w = 3, 6*w = -n*x + 3*w + d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 53. Suppose 3 = t*b - 4. Let y(u) be the third derivative of u**6\/24 + u**3\/6 - 29*u**2. Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v + 107. Calculate b(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + z**2 - 5. Determine f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - -5 - -3 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o + 1. Let t(z) = -3*z**2 + 5*z + 5. Let w be t(-6). Let b = -146 - w. Let d(l) = 2*l**3 - 2*l + 2. Give b*s(k) + 6*d(k).\nAnswer: -k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -4, 3\/20, 1\/702 in descending order.\nAnswer: 3\/20, 1\/702, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36155328 divided by -88?\nAnswer: -410856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 309894?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 531.4154 kilometers?\nAnswer: 531415400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1266 - 1264 - 1200 - 19*b + 3730. Let z(w) = w - 126. Determine v(z(k)).\nAnswer: -19*k + 2394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52995 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = 4*q + 26, -5*r - 4*q = -30. Let j(k) = -k - r + 24 - 6 + 37. Let o(c) = c. Calculate j(o(x)).\nAnswer: -x + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 9. Let n(i) = -2*i - 5. Let d be ((-240)\/(-50))\/(-4)*5. Calculate d*p(z) - 13*n(z).\nAnswer: 2*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.55 + 4.95. Let m be 0 + -1*(-9)\/(-15). What is the fourth smallest value in -2, j, m, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and 125\/108409974.\nAnswer: 108409974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -21. What is the second derivative of 0*p**a + p**2 - p**2 + 4*p**2 - 10*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.044 and 1.62.\nAnswer: 1.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4304534 - -255?\nAnswer: -4304235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100194 is divided by 6227?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = 2*a + a, 26 = -4*a - d. Let o(m) = 34451*m + 34478*m - 68930*m - 3. Calculate o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53581541*w**3 + 145157260*w wrt w.\nAnswer: -321489246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -50*d**2 + 15. Let p(w) = -1. Let g(x) = -15*p(x) - r(x). Let m(t) = 10*t**2 - 8*t**2 + 0*t**2 + 2*t**2. Determine g(m(j)).\nAnswer: 800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 770090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 + (-1 - -13))\/1. Find n such that 2\/3*n**4 + 1\/3*n - 1\/3*n**5 + 0 + g*n**3 - 2\/3*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/29612259 and -35\/82428.\nAnswer: 118449036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 2. Let a be h(-2). Let i be 76\/a + 2\/6. Let g = 3795 + -3704. Calculate the greatest common divisor of i and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 + 174 = 8*r. Is 18 a factor of 9\/(-24) - (-4535)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*w**2 + 143?\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**5 - 11*k**4 - 16*k**2 + 36*k - 20. Let x(l) = -4*l**5 - 7*l**4 - l**3 - 16*l**2 + 35*l - 19. Let s(i) = 4*x(i) - 3*y(i). Factor s(w).\nAnswer: -(w - 2)**3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/((-990)\/50)*-52)\/(2\/(-6)*2)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/24 + 5*b**3\/6 + 3*b**2. Let z be m(-5). Are z and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Let u = 14 - f. What is the remainder when 47 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 29. Suppose -20 + d = 4*v. Solve 3*g - 11 = -c, -4*c - v = -5*g + 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 - 82. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769641313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3570 and 153650?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -749919.4172342 and -42?\nAnswer: 749877.4172342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(275) + -1)**2 - -5*sqrt(11)*-3).\nAnswer: -25*sqrt(11) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1189 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1881 and 1368.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-90)*(-45)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + (9 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 9*u**5 + 128*u**4 - 836*u**3 - 10398*u**2 + 8667*u + 2430 = 0.\nAnswer: -15, -9, -2\/9, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8503, -16845, -25189, -33535, -41883?\nAnswer: -50233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/7 + 109*w**4 - 230\/7*w + 1280\/7*w**3 + 279\/7*w**2 = 0. What is w?\nAnswer: -1, 4\/109, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15024869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/(-25))\/(-1))\/(4\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 10:08 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -1 + (1 - 1). Sort q, 11, 2, -4 in ascending order.\nAnswer: -4, q, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-5 - -2)\/3 + -1. Factor 2*u + k + 2\/3*u**2.\nAnswer: 2*u*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29821?\nAnswer: 11, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 675, 5*p + 4*m = -7901 + 8191 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*u**3 - 7*j**2*u**2 + 305*j**2*z**3 + 5*j - 5835*u**3*z**3 + 11735*u**3*z**2 - 3*z**3 wrt z.\nAnswer: 1830*j**2 - 35010*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/788970 and 125\/24752?\nAnswer: 6311760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 70\/(-168) - (-4)\/6. Suppose -3*c + 11 + 1 = 0. Let l = 21320\/17 + -1254. What is the fourth biggest value in c, -0.2, l, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -10, 36, 174, 440, 870, 1500?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*l + 8, -n - 4*n - 3*l = 2. Let d be (-8)\/6*(-3)\/n. Solve 0 = -d*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - 0.51. Let f = -1199.7 - -1199.7. Suppose -2 = x + 1. Which is the closest to f? (a) -4 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6693 + -6688. Let u = -276 + 768. Suppose 0 = -r*c + u + 93. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -17, 5, -0.5 in decreasing order.\nAnswer: 5, 4\/3, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.3 + -28.6. Let b = g + 0.9. Let t = b - -17.7. What is t rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 15*m - 7. Let w be z(4). Suppose w*r - 5*j - 60 = 0, -r + 2*j + 15 - 3 = 0. Calculate the greatest common factor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:33 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - 556?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 3. Let z be w(0). Let n be 10\/14 + (2 - z). Put 0.1, -2\/5, n in descending order.\nAnswer: 0.1, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1 + 58)*22\/44. Find the second derivative of -60 + v*o**2 + 2*o + 3*o**5 + 24 - o**5 wrt o.\nAnswer: 40*o**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314 + 310. Put 5, -5, u, 4 in descending order.\nAnswer: 5, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30476326 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 22 = -5*d, -3*u - 4*d = -1. Suppose 0 = -u*t + 119 + 58. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 4*f - 2*f + 1)*(21 + 19 + 2) in the form j + i*f and give i.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188712*d**3*r**3 + 52*d**3*r + 5017866*d**2*r**3 - 7 wrt d?\nAnswer: -1132272*r**3 + 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-350)\/36)*(-56)\/(-12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)\/v*v**(-11)*v)**13 assuming v is positive.\nAnswer: v**(-845\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3044 - 1634?\nAnswer: -4678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**3 + 223674*w**2 + 263900*w.\nAnswer: 12*w + 447348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:07 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 + 16\/6. Suppose 0*j = -2*j. Suppose 0*y - y = j. Solve y = -6*o + g*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21043811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 divided by -16?\nAnswer: -1603\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*y - 25*y - 6 + 56*y)*(-4*y**2 + 4*y**2 - 4*y**2).\nAnswer: -16*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-12) + 56\/224?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1999094*f*i**4 + f*i**2 - f*i - 2*f + 3063*i**2 + i wrt i?\nAnswer: -47978256*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 140, 99, 42, -31, -120, -225?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9705*i**3 - 9752*i**3 + 20466*i**3.\nAnswer: 1009*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwjzxjwwz. Give prob of sequence wz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1) + 2 + 12. Suppose 0 = 9*v - 88 + d. Calculate the least common multiple of 0 + 1 - (-9 - 0) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -30 + -1 + 1\/(-1). Let x = -20 - a. Let u be ((-6)\/5)\/(x\/(-90)). What is the greatest common divisor of 27 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 + 88*k**2 - 8*k + 14288.\nAnswer: 6*k**2 + 176*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:49 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21098646 - 8066760. Suppose -h = -2768114 - u. Round h to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10385156 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.72 + -17.72. Which is the nearest to 3? (a) y (b) 3 (c) -6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**(19\/4)*(a**4)**33)**(-18\/13) assuming a is positive.\nAnswer: a**(-2547\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/((c**(-6)*c)\/c))*c**(2\/11))**(6\/31))**(1\/3))**(3\/14) assuming c is positive.\nAnswer: c**(-192\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4*14\/(-840)*10\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cb + 5052?\nAnswer: 4c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*r - o, 0 = 2*o - 11 + 15. What is the remainder when 237 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6138 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5575, 4786, 2615, -1628, -8633?\n\"Answer: -115*z**3 - z**2 + 19*z + 5672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*g, h - 17*g + 3 = -18*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:38 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84014\/705 + -22\/705. Which is bigger: -119 or j?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 441, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u**5\/4 + 115965*u**4\/4 - 242721*u**3\/2 - 111009*u**2 - 23130*u = 0.\nAnswer: -2\/5, 0, 5, 1542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*q + 4*q - 2885, 2861 = 3*h + 4*q. Calculate the remainder when 4800 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**2 + 8*p - 11. What is v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**6\/5 - r**5\/20 + 2*r**4 + r**2 + 3*r + 8. What is the third derivative of c(j) wrt j?\nAnswer: 144*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 2*c + 141 + 138 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.01\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 25*x - 174. Let a be j(7). Let q(c) = 82*c**3 - 5*c**2 + 4*c + 2. Does 9 divide q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 - 3*z**3)*(0 + 0 - z) - 3*z + 6*z**4 + 3*z + 257*z**4 - 507*z**4 - 24*z**2 + 249*z**4.\nAnswer: 6*z**4 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b - 99\/2*b**4 + 12 + 0*b**2 + 32\/3*b**3. What is the third derivative of y(s) wrt s?\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(320) + 3.\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (558\/992)\/((1*-1)\/4)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/468 and 11\/12768.\nAnswer: 497952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 744757 times -1\nAnswer: -744757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305048 (base 14) in base 12?\nAnswer: 665848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/704 and -103\/1728.\nAnswer: 19008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/414*16\/(-80)*153 and 97\/368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 838857 and -0.3?\nAnswer: -251657.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 409370291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 + 180*o**2 - 1236*o - 3168 = 0. What is o?\nAnswer: -66, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 13*d + 155 = 0, -727*z - 5*d = -729*z - 47 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -511, 0, 2, -39, -3 in descending order.\nAnswer: 2, 0, -3, -39, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b - 35. Let j = 7 + b. Suppose j = -2*q + 4*y + 28, -5*q - y = -8 - 29. Solve 5*z - z = q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 155065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1485\/(-90))\/(6534\/(-162))?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 3*j**5\/10 + 43*j**4\/24 - 13*j**3\/6 + 59*j**2 + 1. Is s(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 848*n + 856*n - 3405*n + 849*n + 851*n. Let u(x) = x - 4*x + 3*x**2 - x**2. What is u(o(a))?\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7195193358?\nAnswer: 2, 3, 19973, 60041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3013230333 (base 4) to base 8\nAnswer: 3075477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiwwuwwwwiqwoiw. What is prob of picking 1 i and 1 u?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 1. Let a(t) = t**3 - 13*t + 12. Let w(n) = -a(n) - 6*m(n). Determine w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/((2\/6)\/((-315)\/(-5985)))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 1, f: 2}. Give prob of picking 2 f, 1 j, and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -50, -140, -268, -422?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-25)*-20)\/86?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-295005)\/5 - -3. What is x rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 - 18*l - 7. Give f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + p = -w + 2*p + 160, -32*p + 2112 = 34*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 44, 54, 66?\n\"Answer: q**2 + 5*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/18*-2)\/((-7)\/21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.75 + -45.7493806. What is s rounded to 5 dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566 is divided by 696.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 5*f**2 - 4*f + 4. Calculate the remainder when w(-4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45632894.\nAnswer: 2, 53, 430499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 5. Let o(f) = -3*f - 4. Let z = -6726 + 6729. Calculate z*o(v) + 4*p(v).\nAnswer: -v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -256 and -2813\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 + -213.00000015. Round d to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 970858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15570 and 150510.\nAnswer: 451530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1390 and -37\/1390?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 42970116*z**2 + 230803858631682*z.\nAnswer: 2*z*(z - 10742529)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51989898 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 30 = -9. What is the greatest common divisor of 56 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013945 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4\/3 + 11245*c**3 + 2384005*c**2\/3 + 4419155*c + 10907200\/3 = 0. What is c?\nAnswer: -64, -5, -1, 6817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35242412 rounded to the nearest ten thousand?\nAnswer: 35240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 7*x**3\/6 + 78*x**2 + 11*x + 2. Calculate the smallest common multiple of p(-18) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -52, -15, 38?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4 - 1. Let v be h + (-110502)\/(-33) + -2. Let f = 3341 - v. Find the common denominator of f and 15\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/5 and 35\/46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 7 - (-6 - -2) - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 39, -4, -3 in descending order.\nAnswer: 39, 6, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 186?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/(2 - 3) - -1. Let u be (-2)\/(-10) + (-1421)\/(-145). Let a be -5 - (-96)\/(-20)*u. Is a greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6152644005?\nAnswer: 3, 5, 293, 1399919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20295 and 2460?\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11205573*-0.108.\nAnswer: 1210201.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + -2*(0 + -2*(-5*(1 + sqrt(405)) + sqrt(405) - (3 + sqrt(405) + -1*sqrt(405)))))**2.\nAnswer: 8352*sqrt(5) + 104521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:43 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8698.035 - -8645. Let b = w - -53. Let o = -0.045 + b. What is the biggest value in o, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002705507 to the power of 1\/3, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.082 times -0.03\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 6*n**2 - 3*n + 7. What is l(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624 = -1601*n + 1393*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 7)*(t + 3*t - 6*t).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 0.0702. Round k to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50925307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18234.36 times -0.3?\nAnswer: -5470.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 38\/513 - 7\/(1134\/(-145788))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129004 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10028957 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 45*h**3 - 29796*h**2 + 802812*h - 106512 = 0?\nAnswer: 2\/15, 28, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4))**(26\/5)\/((w\/w**(-8))\/((w*w**(3\/14)\/w)\/w)) assuming w is positive.\nAnswer: w**(-2141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1062, -3, 5 in ascending order.\nAnswer: -11, -3, 5, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36262 + 6\nAnswer: -36256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - u. Let b(z) = z + 3. Let w be b(-4). Let a be r(w). What is the closest to a in 3\/5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184172264 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225*g**2*q**4 - g**2*q**3 - 1764*g**2*q**2 wrt q.\nAnswer: -5400*g**2*q - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26980254 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/2 - (146783\/(-6526) + 37)?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g**2 + 205*g + 35. Let w be q(17). What is the highest common factor of 1664 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12464?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1932 and 42\/5.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(209)*-5 + sqrt(209)))\/(sqrt(176) - (sqrt(176)*-1*1 - sqrt(176))))**2.\nAnswer: 2299\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vji when three letters picked without replacement from lxjimvvxv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10195*r + 8163*r = 296110 - 27886 for r.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6*z**3 - 904*d**6*z - 492*d**2*z**3 - 7*d*z**3 wrt d?\nAnswer: -240*d**3*z**3 - 108480*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4122432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1646*w - 3505. Does 67 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.06. Let d = -0.2 + z. Let k = 127\/6 - 21. What is the nearest to d in 3, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -74476?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 992357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1091\/7509 or 0?\nAnswer: 1091\/7509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8487.2 - -9267. What is t rounded to the nearest 10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 131*k - 5115. What is m(39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.99 - 5.83. Let a = s - -2.84. Let c be 0 + (8\/6)\/2. Sort c, -3\/4, 1, a.\nAnswer: -3\/4, a, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -400, -367, -284, -127, 128, 505, 1028?\n\"Answer: 4*a**3 + a**2 + 2*a - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -2. Suppose 2*j + 0 = 5*d + 16, -4*j = -2*d. What is the nearest to 0 in d, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-6))\/((-128)\/(-1536))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n + 4*v = 58*n - 20, 4*n + 5*v = -20. What is the remainder when 4*(-186)\/24*n is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 535545\/945 - 4*4. Which is smaller: 552 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4))**(2\/13)\/(i**3*i*i\/(i**(1\/19)\/i)) assuming i is positive.\nAnswer: i**(-2995\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 327*q - 52*q - 40*q - 444*q to the form d*q + k and give d.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 0, -3*g - 5*d + 2 = -23. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/((-14080)\/(-96)))\/((-3)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - -0.08. Let i = 16 + -63\/4. Let z = -15 - -12. What is the third smallest value in i, y, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80962, -81077, -81190, -81301, -81410, -81517, -81622?\nAnswer: -81725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(153)*1)\/sqrt(9)) + -3)**2*-2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y - 18. Give m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/365 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 2*q**2)*(q**3 + 3*q**2 - 3*q**2)*(6 - 1 - 1).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1238963 - -1247.\nAnswer: 1240210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 248382.66?\nAnswer: 49676.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = -2*g, 3*g - 16 = 4*u + 7*g. What is the second derivative of -m + u*m + m**2 - m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 15 - v + 16 + 58*v**2. Let x be k(1). Let f = x + -33. What is the remainder when 93 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2610 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44804 is divided by 946.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502977 rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a5 - 4a?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 10:29 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -8, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002931204 rounded to 5 decimal places?\nAnswer: -0.00293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39167400 rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 991 - 976. Solve 5*s + 6*n + 16 = 5*n, 0 = -s + v*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 + 12 - 2\/4*2. Which is the closest to s? (a) 2\/21 (b) 1 (c) 0.26 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5\/4, -4, -40, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let s be x(-2). Let g(r) = -2*r**2 - 8*r + 4. Let u be g(-4). Solve -i + 5*h - 21 = 0, s*i = 3*i + u*h - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 - (-176)\/16. Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*(-4)\/(-6)*(-3)\/(-6). What is the closest to -1\/5 in u, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, k: 7}. Give prob of picking 3 u.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(261\/126)\/(-29)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18921 or 18986?\nAnswer: 18921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -37. Which is the third smallest value? (a) l (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 284*m + m**3 - 2 - 286*m + 3. Let h be n(-2). What is the tens digit of ((-1)\/h)\/(7\/(-42))*90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*v - 47*v - 176*v - 1026*v.\nAnswer: -1042*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.5. Let m = w + 0.3. Let z = -1.7 + m. What is the third biggest value in z, 1, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:50 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12965 = 48*u - 92827. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -959.1379929 + 286.1380475. Let a = j - -673. Round a to 6 decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1098583\/171 - -68432\/19. Let r(x) = 706*x**2 - 2*x - 2. Let p be r(-2). Let v = p + m. Find the common denominator of -21 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -1\/6, -26\/41, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 1 - 309. Let n = 32 - h. Suppose 4*d - 12 = 0, -2*m - 455 = -n*m + d. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) - ((sqrt(1053) + -3)*3 - sqrt(1053))) + (3 + sqrt(1053))*-6)**2 - 2*(-5 + 0 + sqrt(1053)*-1)**2) + -1.\nAnswer: 954*sqrt(13) + 49521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuuuuuuuxuuxuu. Give prob of picking 4 u.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let b(s) = 1328*s**2 + 15*s + 1. Give y(b(j)).\nAnswer: -3984*j**2 - 45*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*(-3132)\/87)\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632588273.\nAnswer: 632588273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*c - 2*c - 117 = 0, 47 = k - c. Calculate the remainder when k is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:43 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17480144 by -22.\nAnswer: 794552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6937?\nAnswer: 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -601*b - 126*b + 64*b**2 + 710*b to l*b**2 + t*b + c and give l.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)*(-85)\/(-17) - (10 + -15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 6*w - 4*w + (1 + 0 - 3)*(w - 5*w + 2*w) - 2*w + w - w)*(2 - 1 - 2).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175869 - 175866.9. Let p = -0.05 + -0.55. Which is the third smallest value? (a) -1 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 51, -19, 11.\nAnswer: -19, 1, 11, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 66*o + 7. Let t(c) = 33*c + 3. Let u(p) = 4*h(p) - 9*t(p). Let q be 171\/456 - 102\/16. Is u(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(627) + -2*sqrt(627) + sqrt(627))*5)\/(sqrt(1331) - sqrt(1331)*-2))\/((sqrt(9) + -1*sqrt(729))\/(sqrt(6)\/(sqrt(8)\/sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68795*d**4 - 503*d*i**2 - 139671*i**2 + 345*i wrt d.\nAnswer: 275180*d**3 - 503*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2266 divided by 14\nAnswer: -1133\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137.95 + -134. Let s = -0.05 - p. Let j = 0 + s. Which is the biggest value? (a) 0 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 191, -2 in increasing order.\nAnswer: -2, 0.4, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -29*p. Let h(v) = -10561738*v. What is b(h(t))?\nAnswer: 306290402*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 4*d**2 + 2*d. Let v be m(3). What is the third smallest value in 1\/5, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2)*(-27)\/(-18). Let z(c) = 8*c - 7*c + s*c - 3*c. Let y(l) = -l. Let d(o) = o**2 - 11*o. Let t(f) = 4*d(f) - 44*y(f). Determine z(t(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39306 and 52408.\nAnswer: 157224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 = -g, a - 3*g - 7 = -g. Suppose -f = 2 - a. Suppose -f*z = -4*y - 98, 2*y = 4*z + 6*y - 84. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543872, 543874, 543876, 543878?\nAnswer: 543880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10889186 + 15854728. Let i = 8865542 - c. What is i rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n**3 - 4*n**2 + 5\/216*n**8 + 0*n + 1\/135*n**6 + 0*n**4 + 0 - 8\/315*n**7 + 0*n**5. Factor b(v).\nAnswer: 2*v**3*(5*v - 2)*(7*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 18. Suppose -t = 2*t - g. Suppose 0 = -s + 5*q - 9, q - 11 = t*s - 38. Solve 3*a = -5*v - 34, 3*a + 4*v = -35 + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 287402\nAnswer: -5\/143701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -509 + 516. Solve -q - k + 5 = 0, k + g = -3*q + 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-22) + ((-21200)\/(-308))\/100?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 48 = -36. Let r(v) = -v - 8. Let n(u) = -2*u - 7. What is k*n(d) + 5*r(d)?\nAnswer: 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*f**4 - f**4 - f + f + (f**3 + f**3 - 4*f**3)*(-2 + 2 - f) - f**4 - 4*f**2 + 4*f**2 + 0*f**4 + 4*f**4 - 3*f**4)*(2 + 15*f - 5 + 1).\nAnswer: -15*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.34888994 to 3 decimal places.\nAnswer: -41.349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(209) - 3*(sqrt(209) - sqrt(209)*-1 - sqrt(209) - sqrt(209) - sqrt(209))))\/(sqrt(44)\/((sqrt(160)\/sqrt(4))\/sqrt(10))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(3 + 1 + -2). Let k be ((-440)\/(-15))\/(-11) + (-6 - (-322)\/42). Put k, 4, -5, f in descending order.\nAnswer: 4, f, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 32. Let p(c) = c**3 - 4*c**2 + 3*c - 5. Let a be p(4). Suppose -2*i + 3 + a = 0. What is the smallest common multiple of k and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(10*l**4 + 3*l**4 - 18*l**4).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**3 - 27*v - 40*v**3 + 23*v**3 - 5*v**3 + 3*v**3 + 3*v**3 + 0 - v**3 + 0 + (0*v**2 - 2*v**2 + v**2)*(2*v - 2 + 2).\nAnswer: -13*v**3 - 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxlu when four letters picked without replacement from {l: 1, x: 6, s: 1, u: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/21, -2, -5\/2, 25, -5, 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -59 + 74 + (7 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 452329 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29955 + -2306504\/77. Calculate the common denominator of 53\/448 and s.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-13))\/(z**22*z))\/(z\/(z**(2\/7)\/z)*z\/(z*z\/z**11*z*z)) assuming z is positive.\nAnswer: z**(-313\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h - 14*h + 8040 - 7728 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/2, 2\/23, 30 in increasing order.\nAnswer: 2\/23, 1\/2, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -448504+-0.029438139\nAnswer: -448504.029438139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 120 - 32. Suppose -5*z - 37 - 98 = -2*v, 240 = 4*v - 4*z. Let f = v + -41. Calculate the least common multiple of y and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**2. Let j = -437 + 445. Let w(l) = 2*l**2 - j*l**2 + 62*l**2 - 6*l**2 - 23*l**2. Calculate w(r(x)).\nAnswer: 2187*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 1, k: 1, y: 1, b: 1, u: 2}. Give prob of picking 2 u and 1 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37 - 30180*l - 97 - 54 + 30470*l wrt l?\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 3*h + 17. Let t be c(-3). Which is smaller: t or 2\/821?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1430 + -1425. What is the third smallest value in 2\/3, 4, -2, 0.2, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10635 = -3*w + 4*m - 3042, 0 = -2*m. Let a = -2610 - w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - i**2. Let c = -13 - -8. Let p be (-3)\/c + 4\/10. Let m be j(p). Solve 4*d = -11 - m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -178*d - 707. Let n be t(-4). Let q = 1 - 0. Which is the closest to -2\/7? (a) q (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2467*a**4 + 3*a**2 - 4696*a wrt a?\nAnswer: -29604*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661 (base 10) in base 4?\nAnswer: -121331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*31\/1116*8\/5\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 26*x + 62*x + 59 + 50*x + 32*x as z + o*x and give o.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-444)\/15 - -15) + 14. Let o = 3 - 7. What is the nearest to o in -0.4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 29*m - 13. Let v(u) = -15*u + 7. Let c(x) = 6*t(x) + 11*v(x). Let r be c(1). What is the units digit of r\/16 + 38\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 + 3*o - 4 + 6*o - 4*o**3 + 7*o**2 + 3*o**3. Let m(c) = -c**3 + 13*c**2 + 16*c - 20. Let f be m(14). What is the units digit of a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t. Let x = -14 + 6. Let a(j) = 3*j. Give x*a(v) - 3*m(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*o + 3*o + 9, 0 = -4*n - 2*o + 18. Suppose -3*p = 2*d - 10, -6 = -n*p + p - 2*d. Sort p, 5, -4 in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 - 377 = -64*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (131 - (-44 - -111)) + (2 - 32).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 53 = 29*d - 5*p, 2*p = -2*d + 46. Solve 6 = 2*u - 2*x, -2*u - 2*u - 5*x - d = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjhh when four letters picked without replacement from {a: 3, g: 5, j: 2, h: 7, o: 3}?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15)\/(10\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 28 + -1 + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*w = -11 - 137, 0 = 4*u - 5*w - 134. What is the common denominator of (8 + (-130)\/u)*(-1 + -2) and 25\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-1 - 0)*-1). Let n = -4.9738 + -0.0262. Let o = 4 - -1. Which is the third smallest value? (a) o (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**33)**(-15)\/((y*y**(-1\/41))\/(y**(-45)\/y)) assuming y is positive.\nAnswer: y**(-22221\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 14*k + 4125. What is the smallest common multiple of k and 85?\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 + 468 = 4*g. Calculate the remainder when g is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -4 + 6652 + -6644.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36381570.\nAnswer: 2, 3, 5, 1212719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265*h**3 - 17587*h**3 - 184*h**2 + 184*h**2.\nAnswer: -16322*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Let k = w - 13. Let l(i) = -8*i - 12. Let v(u) = -u - 1. Determine k*v(q) + l(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6))**(-42)*(f**(-4))**(18\/7) assuming f is positive.\nAnswer: f**(1692\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*h - 1, 2*m - 4 = 3*h - 15. Let d be (64\/80)\/(h\/35). Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*z + 140*z + 324*z**2 + 203*z + 25*z + 72*z**3 - 12*z**4 + 16*z**4 = 0. What is z?\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -863, -9.981, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -45. What are the prime factors of 3 - 4 - 1 - t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 take away -35859?\nAnswer: 35859.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + k**2\/2 + 7*k - 9. Let h be g(5). Suppose 5*a + h = -8. Sort a, -1, 2 in decreasing order.\nAnswer: 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6166858*p - 2 + 1.\nAnswer: -6166858*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2536890130 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22758969?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -980*p**2\/3 + 1903166*p\/3 - 3884 = 0?\nAnswer: 3\/490, 1942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59927 divided by 13?\nAnswer: -59927\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 67.5. Let l = r - 0.5. Let f = -14.9 - l. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*v + 2*y + 10, -4*v - y + 1 = 0. Let a be 1 - 3\/3*v. What is the second derivative of 4*g + 4*g**3 + 2 - a*g - 2 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 971612 to the power of 1\/2, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11390 + -11399. Which is the third smallest value? (a) h (b) 26 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36369983?\nAnswer: 13, 307, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 + 56*v**2\/5 + 4608*v\/5.\nAnswer: -2*v*(v - 64)*(v + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**5 + 5*y**5 - 3*y**5)*(-3 + 1 - 1) - 3*y**3 + 3*y**3 - y**5 + (-3*y + 3*y + 2*y)*(-4*y**2 - y**2 + 4*y**2)*(3*y**2 - 2 + 2).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725 = 9*g - 4*g. Let z = -124 + g. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*r**2 - 2*l**2*r*y**3 + 41*l**2*r*y - 34*l*r*y**3 + 9*r**2*y wrt l?\nAnswer: -4*r**2 - 4*r*y**3 + 82*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 319730*s**2 - 16960005*s + 17279730 = 0.\nAnswer: -54, 1, 63999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j, 6*v - 18 = 9*v - 3*j for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:58 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(9072)*-1)\/(sqrt(90)\/(sqrt(30)\/sqrt(3)))*-1.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1127, -3460, -7005, -11762, -17731?\nAnswer: -24912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 18*z**2 + 17*z - 3. What is i(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plx when three letters picked without replacement from {x: 2, p: 3, l: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 - 844*o**2 + 176*o + 1187. What is u(-169)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 709, 736, 763?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -48. Let y be (2\/d)\/(87\/30 + -3). Suppose 4*q - 347 = -y*c, 3*c + 81 = q - 27. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*z - 84 = 0, 0*z + 12 = -3*z. Suppose -178*s + 3360 = -185*s. Let c = s + 492. Calculate the least common multiple of m and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12*(3 + 3 + -9). What is the units digit of (s + 3\/(18\/(-6)))*409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6054 + 6055. Suppose -6*l + l + 15 = 0. What is the fourth smallest value in x, 0.3, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 3. Let v = -0.154 + -58.846. Let d = v + 58.6. Which is the nearest to 0.1? (a) -3\/5 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000100000000011 (base 2) to base 10.\nAnswer: -67587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/48096 and -83\/32.\nAnswer: 48096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2.2 (b) -25 (c) 3 (d) 4 (e) 0.067\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -768 (b) 262 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 8100c5?\nAnswer: -8100c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (0 - (-152 - 3)). Let x = m - -1101\/7. Calculate the common denominator of 2\/(-8) - 214\/24 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115400661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*m + 1348, -4*f + 1797 = -22*m + 25*m. What is the remainder when f is divided by 59?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10144 by -111.\nAnswer: -10144\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601300.1*2.\nAnswer: 1202600.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 11 = 4*w, 353*w - 8 = 356*w - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - v - 6 = 0, 54*g - 20 = 52*g - 4*v. Solve -3*f - 5*c = 17, -g = f + 2*c + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 2 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let o(t) be the first derivative of 7\/3*t**3 + 2*t + y + 0*t**2. Differentiate o(g) wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270915.\nAnswer: 5, 157, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*31\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 251 - 35 = 33*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from grnrggggngngggggg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -4\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 461.97 - 467. Let b = 0.03 + a. Let h = -0.6 - -0.3. What is the second smallest value in 2, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -2, -35, -1.\nAnswer: -35, -2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 107, 5, -2, -13, 48, 0 in increasing order.\nAnswer: -13, -2, 0, 2, 5, 48, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 250651 + 2?\nAnswer: 250653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:00 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284.723 centuries in years?\nAnswer: 628472.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 259 = -4*l - 225, l = -2*m + 239. Let p = 72 - m. Let q be 3*p\/(-9) + 1. Solve -3*k - 3 = -r, r + 5*k - 4 + q = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432323599?\nAnswer: 7, 204617657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292*l**3 - 105*l**3 + 341*l**3)*(-2*l + 2*l - l + (-2 + l + 2)*(-1 + 3 - 4) + 2*l - l + l + l + l - 11*l).\nAnswer: -5280*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - d**2 - d + 26. Let v(r) = -r**2 - 6*r. Let k be v(-6). Let w be u(k). Let b = 45 - 32. Calculate the highest common divisor of w and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35693 + 71395\/2. Find t such that o*t - 3\/2*t**2 - 3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 25*n**2 + 29*n - 77. Let k be z(26). Solve 5*l = 4*l - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 75*p - 981 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 48*s = 33*s - 1056 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228.55 + 110.74. Let s = b - -117. Let z = s - -0.25. Round z to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25800 and 50568.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o. Let k(m) be the first derivative of -11*m**2 - 520. Give -2*k(q) + 7*t(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 0 - 4\/11*x**3 - 2\/11*x**6 + 3\/77*x**7 - 18*x - 24\/11*x**2 + 9\/11*x**4 + 3\/110*x**5. Suppose r(l) = 0. What is l?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5121, -10242, -15363, -20484, -25605?\nAnswer: -30726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23143 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22815 and 13635?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3115*f - 1099*f + 6018*f.\nAnswer: 8034*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 6*n - 4*n. Let o be 1\/(45\/(-10)) + 818\/n. Let m = 22 - o. Put m, 2\/11, 0.3 in descending order.\nAnswer: 0.3, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 - 1)) + -184 + -113 + 302.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.144 + -144.144. Let p = f - -143.7. Which is the second biggest value? (a) p (b) -1 (c) 4\/11 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52603\/33155 - 189043487449\/3713360. Let j = -50911 - h. Calculate the common denominator of 41\/18 and j.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 8*x - 3. Factor 12*p**x - 5*p - 12*p - 16*p**2 + 21*p.\nAnswer: 4*p*(p - 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = 5. Let w(x) = x**3 - 5*x**2 + 4*x - 2. Is 12 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/150)\/(6 - 1190\/195)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 3, v: 2, n: 1, j: 1, x: 3}. Give prob of sequence qvj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 2. Let j be w(4). Suppose 4*q - 6 = v + 6, 5*q = 0. Let k be 4\/v + j\/6. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -74.9. Let a = -3.7 + i. What is the second biggest value in 2\/17, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 6:00 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -5, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4049 * 31.7.\nAnswer: -128353.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -14, -0.4, 204?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/10*(-4)\/3. What is f in 3*f**3 + 0*f - f - 9*f**r + 8*f - f = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 239*f**2\/3 + 45500*f\/3.\nAnswer: -f*(f - 364)*(f + 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Is 5 a factor of (-11)\/j - 4\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 - 2 - 1 + 5 + 2*c**5 + 3*c - 3*c + (c**3 + 2*c**4 - c**3)*(c - c + 2*c) - 2*c**3 + 2*c**5 + 2*c**3 + 3*c**2 - 4*c**5 - 3*c**2 + 4 + 2*c**5 - 4.\nAnswer: 3*c**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 351133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/36 and (5 - 3)*-2 + ((-21515)\/340)\/(-13).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29502 (base 14) to base 3\nAnswer: 12012121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -8)\/(6\/1168). Let o = 986 + a. What are the prime factors of o?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(2*((sqrt(19) - (sqrt(19) - (-4 + sqrt(38)\/sqrt(2))))*2 + -2*1*sqrt(19) + 0))**2 + 3.\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1960989, -3921890, -5882791, -7843692?\n\"Answer: -1960901*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1294*z - 5073. Let d be y(-4). Solve 2*i + d*j = 102*j + 1, -j = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 57 - 17. Factor 3\/2*o**3 - 3\/2*o + 3*o**y - 3.\nAnswer: 3*(o - 1)*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 22*c**2 - 2*c + 1. Suppose -3*o + 5*y + 14 = 0, 3*y = 4*o + y. Let j be o - -1*(0 + 3). What is the remainder when s(j) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -266176.8059 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1597746 at least -1597795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 3*q**7\/10 + 11*q**6\/5 + 121*q**5\/20 + 31*q**4\/4 + 4*q**3 - 341*q**2 + q. Find n, given that s(n) = 0.\nAnswer: -2, -1, -4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, n: 5, m: 7}. What is prob of picking 2 m and 2 j?\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1107)\/(-45) - -6 - 3\/5. What is the remainder when (-2 - (-132)\/30)*z is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose -4*w = -2*h - 4, -l*h + 3*w - 7 - 2 = 0. Calculate the common denominator of -69\/14 and (h + 142\/36)*-133.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(7)*-2))\/(sqrt(14)\/sqrt(2)*4) - (sqrt(270)\/(sqrt(10) - sqrt(10)*3) - (sqrt(108)\/(sqrt(4)*-2))**2).\nAnswer: 11*sqrt(3)\/8 + 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.36\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (sqrt(1088) + 1)*4 + -4 + -5)**2*-5*4.\nAnswer: -352660 + 19200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -562324?\nAnswer: -562332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + (2 + 4 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - k + 84, -169 = 5*v - 3*k - 557. What is the units digit of ((-80)\/(-25))\/((-2)\/v*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 0.84. Let t = 0.782 - d. Let f = -0.08251 + t. What is f rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4415622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 9\/4, 5 in descending order.\nAnswer: 5, 9\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281.221491 - 271.70174308. Let i = y - 5.519749. Let r = i + -4. Round r to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (766 + 829 - 2801*v + 26767*v - 1592)*(2*v - 2*v + 2*v) as b*v**2 + u*v + o and give b.\nAnswer: 47932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3*3 + sqrt(28)\/sqrt(4) + 1)**2 + (-5 + -1 + sqrt(448))*2.\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/13296 and 19\/1969.\nAnswer: 26179824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, 5, -4.\nAnswer: -239, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 762 - 253 - 12*d**2 - 256 - 253. Let q(v) = -2*v**2 + 5*v + 5. Let b(r) = -2*r**2 + 4*r + 4. Let m(f) = -5*b(f) + 4*q(f). What is l(m(i))?\nAnswer: -48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-330))\/(4\/(-18)). Which is the nearest to t? (a) 1\/5 (b) 5 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbky when four letters picked without replacement from fkkbffbfbfbykbyfkkf?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffgffffbgrfb. What is prob of sequence gfgb?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637)*-1)**2 + (sqrt(637) + (sqrt(637) + 1)**2)*3 + (-3*sqrt(637)*-1 - sqrt(637) - (sqrt(637)*1 + -3)).\nAnswer: 84*sqrt(13) + 2555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207 + -522?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*x - 2596 + 576 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 90. Let h = v - 8. Let i = 0.3 - -0.2. Put i, h, -0.2 in increasing order.\nAnswer: -0.2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3)\/((648\/(-30))\/18).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 - (-53 + 49) - -12 - 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:32 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:44 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1631161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/w**(-1\/2)))**(-2\/25)*w**(-2\/11)*w*w*w*w**(-3))\/(((w*w**(-4\/9)*w*w)\/w**(-2))\/(w**(-7\/3)\/((w\/(w\/w**2*w*w))\/w*w))) assuming w is positive.\nAnswer: w**(-17599\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than 7983\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 126*m + 125*m + 8, -m = -2*d - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w - 402 = -45*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.5 - -18. Let r = 2.66 - -0.34. What is the closest to 1\/3 in -1, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 3}. What is prob of sequence hh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -9*c**6\/80 + 7*c**5\/20 + 17*c**4\/36 + 2*c**3\/9 + 26*c**2. Factor j(b).\nAnswer: -(b - 2)*(9*b + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 15*y + 4. Calculate the remainder when x(-12) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(-3*n + 3*n + 2*n) + (0*n + n + 0*n)*(3 + 2 - 3) + 3 - 3 - n)*(-1221*n**4 + 324*n**4 + 197*n**4).\nAnswer: -3500*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = 0. Solve -2*h = 2*d - y*d + 8, -3*d = 4*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 + (-20)\/15*9\/2. Suppose -r*w + 12844 = 1684. Calculate the highest common divisor of 36 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 5.06. Which is the third smallest value? (a) y (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3396917*f - 199 = 3396907*f, 5*f - 97 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -10. Solve l*q = 4*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541232 (base 7) in base 11?\nAnswer: 205536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 18*u**4\/17 + 88*u**3\/17 + 134*u**2\/17 + 56*u\/17 - 8\/17 = 0?\nAnswer: -2, -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w**4 - 13*w**3 - 468*w**2. Let i(s) = 5*s**4 - s**3. Let a(z) = 3*i(z) + x(z). What is the third derivative of a(k) wrt k?\nAnswer: 72*k - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (343\/(-686))\/(4634\/(-1540) - -3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 399*a - 212. Is s(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.9 - 20. Which is the closest to 0? (a) -1\/6 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/290 and -23\/150.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:20 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/6 + 18*a. Let l(r) = 29*r**2. Let o(f) = -f**2 + 10*f**2 + 6*f**2. Let j(q) = -3*l(q) + 5*o(q). Determine d(j(s)).\nAnswer: -288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -224, -280, -336, -392, -448?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -447*c**2 - 960*c + 1. Let u be f(-2). Suppose -4*g + 19 = q, -2*q - 2*g = -7*q + 95. What is the highest common divisor of q and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107481?\nAnswer: 1151, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*c + 370 - 406 = -1356. What is the highest common factor of c and 15983?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 62*h - 5. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*d = -12978 - 2949 + 717 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 97, 235, 427, 673, 973?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -282a935?\nAnswer: 282a93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -583017, -583016, -583015?\n\"Answer: x - 583018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*z - 0*z - 19, 2*s - 12 = 3*z. Solve 7 = 4*b + s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248565800 and 1032.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 1. Let u(r) = 5*r**2 + 1. Let x be u(-1). Let m be o(x). Suppose 4*b = -10*b + 294. Calculate the highest common divisor of m and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose d + 3*s - 63 = w, -3*d + 2*d - 2*s + 60 = 0. Suppose 78 = 4*g - d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {g: 5, f: 2, t: 6}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8493237 is divided by 673?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -2.634, 0.2, 111, -123?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d7a (base 16) to base 4.\nAnswer: 21311322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 42 = -5*u, 2*u - 243 = 5*b + 48. Let o = -52 - b. Let k(i) = i**3 - 5*i**2 - 2*i + 7. Let y be k(o). Sort y, -4, 2.\nAnswer: -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/y**18)\/y)\/y)**(1\/39))**7 assuming y is positive.\nAnswer: y**(-42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 - 1)*(3 + b - 3) + 5*b + 0*b - 2*b)*(-15*b**2 + 5*b**2 - 7*b**2).\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s**(-2\/21)*s)**(-39)\/(s**(-1\/15)\/(s\/(s**(-6)*s)*s))**43 assuming s is positive.\nAnswer: s**(44581\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (326 + 415*j - 914*j + j**2 + 500*j)*(-j**2 + 0 + 0) as w*j + v*j**4 + x*j**3 + y + i*j**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181681793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 + 9*k + 9. Let n be h(-6). Let l = 18 + n. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1272164 and -55\/1941724.\nAnswer: 36892756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 901 and 159?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129463155.\nAnswer: 3, 5, 2876959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*i - 2. Let g = i + -1. Solve g*h + 6 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 451960633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n - 54. Let x be b(5). Put 0.3, x, 40\/17, -0.1 in decreasing order.\nAnswer: 40\/17, 0.3, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10111010001000?\nAnswer: -10111010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 - 15548*u**3 - 402994*u**2 - 759352*u - 371904 = 0.\nAnswer: -7748, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - f = 7*x - 32279, 5*x - 4*f - 32284 = 0. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311113 (base 4) to base 3\nAnswer: 11200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38 * -4.99\nAnswer: -189.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000624163731 to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -31*(-1 - 0) + (18 - 19). Suppose 6 + j = 4*x. Suppose 132 = 5*r - 93. Calculate the highest common factor of x and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*u = 518*u - 270 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1212\/(-707))\/(2*3\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.01 + 29. Let r be (-25)\/20*(1944\/90)\/18. What is the nearest to -1 in d, -1, r, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 179*h**3 + 2*h - 8360?\nAnswer: 537*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 3230 in descending order.\nAnswer: 3230, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444 times -2?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/4 + 2563*a**4\/4 - 2353171*a**3\/4 + 937062433*a**2\/4 - 39779676820*a + 2136764150800 = 0.\nAnswer: 97, 328, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1012)\/55)\/(88\/55)\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 5*p + 1 - 4 + 3*p**2. Let l be u(-6). Let w = 11 + l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/814*990\/7965.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -74, -70, -64?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 - 1 = 0. What is the derivative of r**k + r**4 - r**4 + 0*r**4 - 2 wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -28\/599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Let b = -35 - -35. Suppose 0 = -b*g + h*g - 60. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8494?\nAnswer: 2, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -538 in ascending order.\nAnswer: -538, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 - (-4)\/(-5). Let f be 2 - ((-401)\/(-616) - m). Let l = 2\/77 + f. Is l >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 443.\nAnswer: -76\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z - 10. Suppose -2*a = -3*a + 32. Suppose 352 = 16*w - 5*w. Let h(n) = 61 - a + 5*n - w. Give 10*h(t) - 3*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.8. Let h = -0.9 + 0.5. Let i = q + h. What is the smallest value in i, 0.2, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 38*s**2 + 3*s + 167. List the prime factors of f(19).\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 17*n, 4*n = -37*k - 34*k + 66*k - 0 + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = c + 32, -15*u + 12*u + 2*c - 48 = 0. Let b be -3 - -1 - (-60)\/2. Let f = b + u. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 667*i**6 + 2*i**4 + 2*i**3 + 137830*i**2?\nAnswer: 80040*i**3 + 48*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3224.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447625.8 grams to milligrams.\nAnswer: 447625800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + 0*k)*(-1 - 5 + 5)*(2*k**2 - 5 + 5)*(88*k - 17*k + 3*k).\nAnswer: -148*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35240 + 121448 = -48*a. Let l = -3589\/2 - a. Determine j so that -3\/2*j**3 + 0 + l*j**2 + 0*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7178544 and 77\/598212.\nAnswer: 7178544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.69 - 31.6937975. What is r rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7568.87026 and 1.\nAnswer: -7568.87026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let l(h) be the first derivative of h**6\/36 + 4*h**3\/3 + 4. Let o(a) be the third derivative of l(a). Determine i(o(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 17. Suppose 0 = -3*q + 4*k + 24, 0*q + 8 = -q - 4*k. Find the common denominator of ((-30)\/24)\/(p\/q) and -13\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -796.00937 to zero dps.\nAnswer: -796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.3. Let v = 7415 + -7411. Let j = 1\/17 - -49\/34. What is the nearest to j in v, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/7 - 1956*f**3\/7 + 717194*f**2\/7 - 16692504*f + 1019608184 = 0 for f.\nAnswer: 238, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2 + 2315*r**2 - 788*r**2 - 765*r**2 + 3*r - 759*r**2. Suppose -4*m = -0 + 8. Let v(c) = -10*c**2 - 10*c + 7. Calculate m*v(d) - 7*t(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3941 + 110.8259. What is q rounded to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t\/(t\/(t*t*t\/t**1*t))))\/t*t*t)\/t)**(-9\/8)*(t**(1\/4))**13)\/((t\/t**(-5))\/(t\/t**(3\/7)))**(1\/18) assuming t is positive.\nAnswer: t**(3187\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/9*5616\/(-98280).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -5 + 2 + -129. Let o = 175 + i. Calculate the remainder when o is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 43*g**2 - 82*g + 21. Give t(-41).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5*sqrt(5)*2)**2 + sqrt(5)).\nAnswer: -2000 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 6:40 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 254223 (base 6) to base 4\nAnswer: 11213013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7014.9 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78, 314, 706, 1254?\n\"Answer: 78*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -127*w**2 + 11*w + 116. Let h(a) = 50228 - 4*a**2 + a - 50228. Let j(d) = 2*c(d) - 22*h(d). Differentiate j(q) wrt q.\nAnswer: -332*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 + 15*j + 11. Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10201)\/303 - -30)\/((-22)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, 1, -28, -3, -1, -2 in ascending order.\nAnswer: -28, -3, -2, -1, 1, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22595600 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 889707 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:58 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*z - 126969 + 126885 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 + -468. Let z = -386 - j. List the prime factors of (510\/z)\/(3\/(-14)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 30 + 44 = -2*m, -4*m - b = 148. Let r = m - -34. Let g(q) = -23*q - 6. Is 13 a factor of g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Let z = -9 - -12. What is the nearest to -1 in i, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102811619090837913 + -102811618983715408.151999782. Let c = 107122505 - p. Let r = -0.152 + c. Round r to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = 4*w - 4*p, -4*p + 47 = 5*w. Let s = -3 + w. Factor -2*a**2 - 5*a**4 + 3*a**4 + 4*a**s.\nAnswer: 2*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4361 + -2593. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.0271, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a - 4. Let y be n(0). Let o = 0 - 0. Let t(h) = o*h**2 - 3*h**3 - 2*h**2 + 4 + 6*h**2. Let v(z) = 5*z**3 - 7*z**2 - 7. Give y*v(d) - 7*t(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123054630.\nAnswer: 2, 5, 53, 73, 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in 2\/3, -0.5, 18575?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 82*s**2 + 494*s - 221. Give v(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 66324*s\/5 + 10957824\/5.\nAnswer: -3*(s - 22272)*(s + 164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-28)*-2)\/(5*(-6)\/(-180)). What is the second biggest value in 3\/8, 5, f, -7\/5, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + -1 + 2 + (sqrt(275) - (4*(-1 + sqrt(275)))**2) + (4*(sqrt(275)*-1 - sqrt(275)) - (5 + sqrt(275)*2))**2.\nAnswer: 670*sqrt(11) + 23110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -8 + 0 + 12 + (9 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3973*l + 50 = -3978*l, 38 = -4*c - 5*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 320*q + 262 - 1682 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 8235 = 8202 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05102 - 0.0605. What is c rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123252 = 5*p - 30*z + 31*z, 3*z + 98594 = 4*p. Let g = p + -16741. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/2*416\/520?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b7 - -6a1?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + w**3 + 3*w - 8*w + 3 - w as z*w**3 + n + m*w**2 + i*w and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4355968313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 63*18.51\nAnswer: 1166.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -1ba250?\nAnswer: 1ba249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -42*k + 4610. Let l be r(107). Calculate the highest common factor of 11716 and l.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12855187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*i**2*l*x + 8*i**2*l - 3037*i**2*x + l wrt l.\nAnswer: 8*i**2*x + 8*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 6, r: 3, q: 3, a: 1}. What is prob of picking 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 + 3*p**3 + 3 - 5*p**2 + 1 - 2*p. Let a be g(-4). Let c be 9\/(-6)*a\/3. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.001 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -687156, -687117, -687090, -687081, -687096, -687141, -687222, -687345?\n\"Answer: -y**3 + 46*y - 687201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 365973 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*s - 1720 = -2*s, 3*d - 3*s = 1011. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 3328154?\nAnswer: -3328154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0, 3\/2, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f + 35483 + 143964 = -3502*f - 35353 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -11. What are the prime factors of (-5 - (-3)\/i)*-10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 92042*b - 552161. Give y(6).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2928.942 to the nearest 10.\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*r + 16 + 2 = 0, r = -5*l + 7. Let v = -0.4 - -0.4. Which is the third smallest value? (a) l (b) v (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 + 284*v**2 - 66*v + 29. Give g(-57).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 5, k: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let k(g) = 230*g**2 - 28*g. Give j(k(b)).\nAnswer: 460*b**2 - 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.123, 3\/8, -3?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -9\/5, 1\/6?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61093803, 61093804, 61093805, 61093806, 61093807, 61093808?\n\"Answer: n + 61093802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -310.99574 - -311. What is l rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 2092, 4962, 8980, 14146, 20460?\nAnswer: 27922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/83 or 0?\nAnswer: -68\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122\/183 + (-7)\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 84*b - 82. Let l be w(-84). Put 4, l, 6, 3 in descending order.\nAnswer: 6, 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40 and -773436.22.\nAnswer: -773396.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22050 is divided by 1102.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 - 223. Let h be 1\/((1\/3)\/(-1)). Put f, h, -4 in ascending order.\nAnswer: -4, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*5\/(-10)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -175. What is the highest common divisor of s and 1620?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from wwlwhwlthl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3457*v**3 + 561 wrt v.\nAnswer: 10371*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzt when three letters picked without replacement from {t: 7, u: 5, z: 3, f: 2, c: 3}.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8010.593mg to grams.\nAnswer: 8.010593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129989 = 116*l - 73*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 177 = -3*b, 280*p - 573*p + 1 = -294*p - 5*b for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3101.\nAnswer: 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-r + r - r) + 0*r + 0*r - r + (2 + 3 - 6)*(-4*r + 3*r + 3*r) + 3*r - 3*r + 2*r - r - 2*r + 2*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 30178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 - -9063\/20. Let p = 49\/60 - z. Suppose 2*d - 13 = 5*n, 5 = 2*d - d - 2*n. Which is the smallest value? (a) -4\/7 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-226)\/8 - 4\/(-16). Let s be 13\/28 + (-8)\/f. What is the biggest value in -0.2, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((175\/21)\/5)\/(7885\/217626).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 - -55. Let c be (-3)\/(6\/10) - 1. Does 22 divide c*(f\/9 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuaalhuallullauu. What is prob of sequence lll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 2. Let x be r(7). Let q be ((-4)\/24)\/(1\/(-3)). What is the nearest to -1\/4 in -0.5, q, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234846*q**2 - 66 + 234768*q**2 + 16.\nAnswer: -78*q**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h**3 + 36*h**4 - 15*h**3 + (2*h - 2*h - h**2)*(3*h**2 - h**2 + 0*h**2))*(-6 + 0 + 3).\nAnswer: -102*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let p(s) = 542556582*s. Calculate k(p(v)).\nAnswer: -588735289343045448*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/44 - -8)\/((-228)\/(-3344))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:58 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -30 and 8.6029 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1058739269?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 + 4)*(-2 + 2 + 2)*(r - r - 2*r) + (0 - 4 + 2)*(0*r + 3*r - 2*r) - 3*r - 4*r + 5*r.\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7541, -7646, -7789, -7988, -8261, -8626?\nAnswer: -9101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 145. Let v be (-3)\/2*40\/l*-1. Let c(r) = -7*r - 7. Does 14 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(4\/3))*o*o**(-18\/7)\/o)\/(o**(-4))**13)**18 assuming o is positive.\nAnswer: o**(6186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**6\/120 + l**5\/15 - l**3\/2 + 3*l**2. Let u be f(3). Solve -b = -u*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32076 and 64602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 41 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - 10*q**2 - 7*q - 42. List the prime factors of v(-12).\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 4. Let b be (-36)\/(-8)*(-12)\/(-9). Determine j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(2*sqrt(891) + sqrt(891) + 3 + 3 - (sqrt(891) + (-5*(sqrt(891) - sqrt(891)*1) - sqrt(891)) - sqrt(891) - (5 + sqrt(891)*2))))**2.\nAnswer: 972*sqrt(11) + 32157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/11)\/(q*q**(-6)) assuming q is positive.\nAnswer: q**(59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/2)\/(2\/160).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 166, 5, 30 in ascending order.\nAnswer: -5, 5, 30, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*(-232)\/(-36) - 2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 0.3, -15, 5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262409097.\nAnswer: 3, 87469699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*s + 539*s - 78 - 347 - 282*s with respect to s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {k: 2, p: 1, h: 2, u: 1, s: 4, v: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/776 and -59\/22.\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z + 24*z - 23*z + 354 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-10)\/(-35)*14 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.445 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5460 and 117360?\nAnswer: 10679760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**3 + 43*u**3 + 32*u**3 + 24*u**3 - 131*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*j + 4 = 2, -5*q = 3*j + 5. Let h(b) = -b. Let x(l) = 8*l - 3. Let f(o) = q*x(o) - 3*h(o). Determine f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = 5. Let k(o) = -2*o**3 + 6*o**2 - 2*o - 3. Let w(i) = i**3 - i**2 - i + 1. Let r(z) = d*k(z) + 3*w(z). Determine r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, 1 t, and 1 e when four letters picked without replacement from enwtp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/8 + 1\/24. Let q = -6 + 11. What is the nearest to v in q, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 1.43. Sort -4, g, -3, -1\/5 in decreasing order.\nAnswer: g, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -153. Calculate the smallest common multiple of 18 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g - 4*r + 228 = 0, 2*r - 79 = -4*g + 12 - 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 832\/256*30\/65?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1840384l?\nAnswer: 184.0384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let d(s) = 1. Let u(h) = -4*h - 4. Let y(v) = 4*d(v) + u(v). What is y(a(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let z(f) = -113*f**2 - 1390308*f + 1390308*f. Determine z(d(x)).\nAnswer: -113*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9762430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027536 to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05183 + 0.04817. Which is the fifth biggest value? (a) -3 (b) g (c) 2\/7 (d) 2 (e) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 69, 149, 301, 549, 917, 1429, 2109?\n\"Answer: 4*l**3 + 4*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23002 is divided by 136.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76.98 + -73. Let o = 3.48 - n. Sort -4\/5, 2, o, 0.07.\nAnswer: -4\/5, o, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((-64884)\/5 - 11\/55). Let t = b - -1415. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-21)*2\/(-4)*(-91)\/13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9465 divided by -2.\nAnswer: 9465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(405\/153) + 2\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmmttmmtmmmtetmt. Give prob of sequence mm.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, -19, -1931.\nAnswer: -1931, -292, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -5, 2, -56 in decreasing order.\nAnswer: 2, -5, -56, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - -1.66. Let r = d + 0.7. Which is the closest to 7? (a) r (b) 1\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34962, 34466, 33142, 30576, 26354, 20062, 11286, -388?\nAnswer: -15374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 172, 47 in increasing order.\nAnswer: -1, 47, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(200) - sqrt(200)*-1)*1*1)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g, 2*q + 3*g = 218 + 8. Calculate the remainder when q is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -344 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 3*l, b + b = -4*l + 4. Let d(u) = 2 + 6 - 2 - 9 + 2. Let w(t) = -t**2 - 1. Give b*d(x) - 2*w(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaayya?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/15 - 15*o**2 + 6. Let j(f) = 47*f**2. Give c(j(h)).\nAnswer: 8836*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9492444*g**2*k**2 - 16*g**2 + g*k - 26999*g wrt k?\nAnswer: 18984888*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-80)*(1 - (-411174)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**2\/2 + 5*h + 4. Let r(k) be the second derivative of -4*k**3\/3 + 41*k**2 + 74*k. Let v be r(11). Calculate c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 145526367 and 5508.\nAnswer: 145531875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 8) to base 11\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 126 = -10*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2051, -4101, -6151, -8201, -10251, -12301?\n\"Answer: -2050*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373302515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f + 936 = 256 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2160057 + 4.934?\nAnswer: 5.1500057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8275\/6 (b) -5\/4 (c) 0 (d) 3\/7 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38847376?\nAnswer: 2, 2427961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 31*c**2 - 82*c + 9. Is o(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1286, -2600, -3938, -5306, -6710, -8156, -9650, -11198?\nAnswer: -12806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5 + 77888*m**4 - 1515388127*m**3 - 48574782560*m**2 + 50090092800*m = 0.\nAnswer: -33, 0, 1, 38960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18421484.\nAnswer: 2, 389, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from znzyynzzznzznzzk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:22 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19915 + 34245. List the prime factors of t.\nAnswer: 2, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078, -3379, -6918, -11701, -17734, -25023, -33574, -43393?\nAnswer: -54486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 295472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 2*v + 1. Let m = 4 + -1. Suppose 5*i = m*t - 17, 0 = -7*i + 4*i + t - 7. What are the prime factors of u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 234*x - 3035. Let g be z(13). Solve -90*d - g = -89*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-2) + 3\/2. Calculate the lowest common multiple of 8 and l\/9 - (-46)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*f = 171*f - 56. What is f rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**5 + 29*n**5 + 3*n**5 + (-3*n**4 + 3*n**4 + 3*n**5)*(4 - 2 - 1).\nAnswer: 42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1914496 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p + p + 0*p)*(-2*p**2 + p**2 - p**2) + 0*p**2 + p**3 + 0*p**2 + 2*p**3 + 4 - 4 + 353*p**3 - 33*p**3 + 166*p**3)*(-p + p - 2*p**2).\nAnswer: -974*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = -4*w + 206, 63 = 2*w - 5*x. Differentiate w*v - 46 - 43*v + 51*v + 15*v with respect to v.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -24*k**2 - 1230147*k. Let o(p) = -6*p. Calculate b(o(z)).\nAnswer: -864*z**2 + 7380882*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-27)*3*(-3)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 5:10 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, 4 in descending order.\nAnswer: 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256161 or 256151?\nAnswer: 256151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p. Let m(r) be the second derivative of -r**6\/180 + r**4\/6 + 14*r**3\/3 - 16*r. Let k(b) be the third derivative of m(b). Give f(k(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.69 + 11.69. Sort 3\/5, 5, h, -0.4, 7.9 in descending order.\nAnswer: 7.9, 5, h, 3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0228366415 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 113065.2 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*(-12)\/14. Let u be 132\/30 - 5 - 7\/(-20). Put o, u, -0.5 in ascending order.\nAnswer: -0.5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 17*q. What is h(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 257 (b) -1 (c) -120.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**3 + 46*o**3 - 3*o**3)*(-14*o - o**2 + 14*o - 7).\nAnswer: -58*o**5 - 406*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385774.\nAnswer: 2, 192887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*p + 9 - 9)*((-3 - 1 - 4)*(4 - 2 - 1) + 4 + 1 - 2) to j*p + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 - -2248\/15. Which is the nearest to 6? (a) w (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(-1 + sqrt(33)\/(sqrt(11)*2))*1)**2.\nAnswer: -315\/4 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/110 and -71\/100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*-15*(-6)\/36\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-12))\/((6\/8)\/((-207)\/184))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11697 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 4*z**2 + 44*z - 3. What is a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75959278 to the nearest integer?\nAnswer: 8715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 4*s**2 + 3*s. What is the remainder when p(-2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -2) - (7 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h**3 + 3*h**2 - 4*h - 15. Let x(z) = 46*z**3 - 13*z**2 + 16*z + 62. Let o(q) = -25*j(q) - 6*x(q). What is o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 323*l - 321*l + 8. Let p(d) = -2*d**3 - 3*d**2 + 7*d**2 + d**3 - 3*d. Let a be p(3). What is the fourth biggest value in 7, a, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - 7b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 8217.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226626 and 48?\nAnswer: 1813008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*u - 6, -7*u + 4*u - 13 = 5*a. Sort a, 4, 3.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u - 2. Let t be (6\/12)\/(4*(-2)\/(-192)). Let h(z) = -z. What is t*h(j) + b(j)?\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)\/k*k)**(-1\/21))**(-15) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 553.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 614437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282250 is divided by 10386?\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 50*x**2 + 44*x - 189. Let w be o(-49). What is the highest common divisor of 22 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135\/146 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*l + 2652 = -968*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/10 + 13*c**4\/6 + 23*c**3\/6 - 19*c**2\/2 + 5*c - 34. What is s(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)\/j**(-7))\/(j\/(j\/j**(-6))*j**(-1\/2)))\/((j**(-3\/4)*j)\/j*j**(1\/2))**(-50) assuming j is positive.\nAnswer: j**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1100.77 - 1100. Put 5, -1, t in increasing order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let m(u) = -23*u**2. Suppose 2*c + 20 = -3*l + 9, 5*l - c + 1 = 0. Give l*m(i) - 6*g(i).\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-264)\/(-176))\/((-2)\/8). Let h = -1 - -4. Let r be h\/6*m + 12. Does -1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 1. Let t be h(2). Suppose 3*a - 5*q - 1 = 0, -2*a + 3*q = 3*a - 7. Let c = t + a. What is the smallest common multiple of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4731\/44 + -433\/4. Let h be (1 + 5)\/(2\/(-5)). Find the common denominator of (-1 - 12)\/(9\/h) and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/(-42)*14\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**3 - 6*a**2 + 6. Let l(n) = n**3 + n**2 - 1. Calculate i(f) + 6*l(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*x + 9650 - 11722 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77228)\/(-5388) - 3*-1*(-2 - 0)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 3, -70, -8, -5.\nAnswer: -70, -8, -5, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from {p: 1, o: 2, l: 2, r: 9}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*s - 90. Let d = s - 24. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 72) + (35 - 167) + 119?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - 0 - (-2 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.162 + 795.162. Which is smaller: -1\/31 or s?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87974 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 56 + 56 + 6*h)*(-h**2 + 0*h + 0*h).\nAnswer: 3*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:19 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 - 3 + 3 - 27*s**2.\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (21 - 13 - 3) + 4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82 - 62 + 57*z + 148)*(4*z - 2*z - 6*z + 0 - 2*z + 0 + (2*z - 2*z + 2*z)*(-4 + 1 + 2) + 2*z + 3 - 3 + 0*z + 4*z - 3*z) as v*z**2 + d + x*z and give v.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*j**3 - 37*j**3 + 163*j**3)*(-61*j + 32*j - 15*j) to a*j**3 + p*j**4 + b*j**2 + k + f*j and give p.\nAnswer: -5236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwxhmrb. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*y + 3*p, 4*p + 17 = -7*y + 8*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -10\/7 (b) -1\/6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 20. What is the least common multiple of f(-7) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -15*m**2 + 9*m - 7. Let h(y) be the first derivative of -3 + 4*y + 8\/3*y**3 - 5\/2*y**2. Determine -11*h(f) - 6*u(f).\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g - 3. What is the units digit of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -92*y**7\/105 + 5*y**4\/24 - y**3\/3 + 219*y**2. Find the second derivative of n(s) wrt s.\nAnswer: -2208*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-41)\/(-123))\/((-2)\/(-112686)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.505 + -10.405. Which is the fifth biggest value? (a) 5 (b) 18 (c) m (d) 2\/3 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25387*p**3*q**2 - p**3 - 3*p**2*q**3 + 5*p*q**3 - p*q**2 + 4*q**3 - 3381*q wrt p?\nAnswer: -152322*p*q**2 - 6*p - 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9455, -18922, -28389?\n\"Answer: -9467*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {q: 1, k: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 31?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 28. Let c be a(-9). What is the nearest to c in 1, 3\/4, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4909058 and 8.\nAnswer: 19636232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - 2*s**5 - s**5 + (s**3 - 2*s**3 + 4*s**3)*(-3 + 3 - s**2).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -876*m**2 + 4049 wrt m.\nAnswer: -1752*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.008772 * -1.32\nAnswer: -0.01157904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212, 424, 636?\n\"Answer: 212*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37+-7971091.2626\nAnswer: -7971054.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 12, l: 3, p: 1}. Give prob of picking 2 e.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4996840206 to the power of 1\/3, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3111741.\nAnswer: 3, 345749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -111. Let w be 42\/(-7)*((-3)\/o + 0). Solve 5*j = w*t - 15, 0*j + 5*j = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177656600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745550.\nAnswer: 2, 5, 43, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110011100100 (base 2) in base 4?\nAnswer: -2303210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 12:21 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 + 380*o**2\/9 + 766*o\/9 + 128\/3.\nAnswer: -2*(o - 192)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:22 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 3*m - 4*m + 2*m + 3*m - 6*m + (2 - 2 - 1)*(6*m - 3*m - m) - 3 + 3 - m + 4*m - 7*m + 4*m + (1 + 2 - 4)*(-3*m + 0 + 0) - 2 - 2*m + 2 + 2 + 2*m - 2.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**9\/252 - i**5\/20 + 5*i**2 - 11. Let z(a) be the second derivative of l(a). Find the third derivative of z(m) wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*u + 375224 = -354383 + 162887. Does 161 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292068 divided by 42.\nAnswer: 6954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 9*p**3 - 10*p**3 + 2 + 2*p**2. Let l be v(0). Suppose 4*w = -4*o + 5 - 17, -2*o = -2*w + 6. Sort l, w, -4, -1 in increasing order.\nAnswer: -4, -1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (177 + -190 - (-164)\/(-2))*-3*251.\nAnswer: 3, 5, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 961371294 or 961371295?\nAnswer: 961371294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.761 + 0.7611073. Round b to 6 dps.\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, -4, -1\/62, 0.2, 27\/5 in decreasing order.\nAnswer: 27\/5, 1\/4, 0.2, -1\/62, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4238\/7 + -604. Let z = -338 + 338. Is k at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/15 + -3 - 1787100\/(-4625). Let j be (-18)\/(-1 - 82\/(-86)). Is m at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212102 + 1100?\nAnswer: -20211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**3 - 19905*o**2 - 9985*o + 59730.\nAnswer: 5*(o - 1991)*(o + 2)*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/(2184\/42)*(-2)\/20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -15, 5*o + 15230 - 15285 = -s for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/3992282, -17\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (1 + sqrt(272))) + -3 - (sqrt(1700) + (sqrt(1700) + -1 + sqrt(1700) + 4 - sqrt(1700)))**2.\nAnswer: -6813 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1224, -1359, -1480, -1581, -1656, -1699?\n\"Answer: d**3 + d**2 - 145*d - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 16.05248 meters?\nAnswer: 16052480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31059, -123506, -277591, -493320, -770699?\nAnswer: -1109734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14)**(-1\/3) assuming u is positive.\nAnswer: u**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -106 - 3*m**2 - 115 + 10*m**2 + 209. Let s(y) = -4*y**2. What is a(s(n))?\nAnswer: 112*n**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*y - 2 = 4, -u = -2*y - 1. Let m be 8 + (2 - (3 - u)). Solve -26 = -5*t - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10974 - 43?\nAnswer: 10931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 318702?\nAnswer: -1\/318702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h - 2*i + i, 5*i + 18 = h. Solve -h*c - 14 = -2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4158 divided by 1315\nAnswer: 4158\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j + 5*j + 48 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 289*s - 285*s - 18*n + 1 + 1, -4*n + n - 3 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -6*t + 5*m + 8, 0 = 6*t - 2*t + m - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315165?\nAnswer: 5, 463033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 102019889795923.\nAnswer: 102019889795928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -321, -5, 711 in decreasing order.\nAnswer: 711, 3, -1, -5, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:43 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/576453942 and 5\/64050438.\nAnswer: 576453942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 28*o - 75. Let f be p(-25). Suppose f = 3*r + l + l - 4, 3*r = -3*l + 3. Put r, -25, 1 in descending order.\nAnswer: r, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2. Let i(z) = -1110*z - 4575. Calculate i(f(k)).\nAnswer: 3330*k**2 - 4575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -2*v + j = -180, v - j - 85 = -3*j. Let d = 93 - v. Solve -h*z - d = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8601, 8428, 8239, 8028, 7789?\n\"Answer: -n**3 - 2*n**2 - 160*n + 8764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -503 + 513. Solve -6*q - i + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623 is divided by 811.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/970)\/(2286\/(-15240)*4\/3).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -526 divided by -263?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*i**5\/9 - 1354*i**4\/9 + 4340*i**3\/9 + 19480*i**2\/9 + 2480*i\/3 - 704 = 0. Calculate i.\nAnswer: -2, -1, 2\/5, 6, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 2, u: 1, t: 2, i: 2, e: 1}. Give prob of picking 2 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4265 (base 7) to base 14\nAnswer: 7a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 115303 = -4*p, 37*l = 38*l - p - 38433. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - -100. Let v = t + -59. Calculate the remainder when v is divided by 24 + (0 - -1)\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/13 + 444*p**2\/13 - 32856*p\/13 + 810448\/13.\nAnswer: -2*(p - 74)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let d(c) = -5*c**2 + 11. Let s(m) = d(m) + 4*t(m). Differentiate s(w) with respect to w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3988*a**2*g**2 - 47061*a**2 wrt g?\nAnswer: -7976*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*n - 102*n + 757 = 3705. Calculate the highest common divisor of 17116 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, t: 1, r: 1}. Give prob of picking 3 m and 1 t.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v + 5. Let l = 53 - 35. Suppose 3*w - l = 4*q - 3, 3*q - 3*w = -12. Let s be q*2*(-6)\/9. Determine i(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 7*a - 2. Let y be l(-6). Suppose 0*b + b = y*d - 630, -2*b = 3*d - 478. Suppose 2*r = -0*r + d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**3 + 15*y**2 - 15*y**2.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 3174?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.4205943 to two decimal places.\nAnswer: -21.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 55*y**3 - 241*y**2 + 295*y.\nAnswer: y*(y - 59)*(y - 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 791880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*o + 10*o + 0*o - 5 + 5 + 19*o + (2*o - 2 + 2)*(-2 + 2 + 2).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1173 + -80?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:21 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r + 647 = -1069. Let s be 7\/1 + 78\/r. Solve 0 = s*g - 6*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(441)*1*-6)\/(((-2*sqrt(210))\/sqrt(10))\/(sqrt(432) + 1*sqrt(432))).\nAnswer: 6480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952711623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyqqxcqxqqqqxbx. What is prob of sequence cxxx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*q - 31*q + 69*q)*(2*q**2 + 0 + 0)*(-2*q - 2*q + 2*q).\nAnswer: 236*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -36929\nAnswer: -7\/36929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7946 - -11\nAnswer: 7957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -404*h - 26887 + 10323 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -21*c**2. Let r(n) be the third derivative of n**7\/5040 - 11*n**5\/10 - 60*n**2. Let x(g) be the third derivative of r(g). Calculate x(o(a)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 24 = y, -6*y - 3 = -3*y. Suppose -j = j - 24. Let l be 1\/9*(9 - j). Put 1\/3, r, l in descending order.\nAnswer: 1\/3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 0 = 47*v - 48*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 4082.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j + 2. Let f(o) = 48*o - 11. Give -6*f(y) - 34*v(y).\nAnswer: -16*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2, 2, -108, 141 in decreasing order.\nAnswer: 141, 3, 2, -2, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.9 - -44. Let w = r + 2.9. Let t = -28.7 + 29. What is the nearest to w in 2\/5, -3, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8 - 14?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5009252, 10018487, 15027722, 20036957, 25046192, 30055427?\nAnswer: 35064662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4794 - -6532. Solve -c*f + 1731*f - 21 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d*u**2 - 7*d*u - 7*d - 608*u**4 wrt u.\nAnswer: 8*d - 7296*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53717 - 754?\nAnswer: -54673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7. Let t be (-11)\/p - 12\/18. Solve -t + 0 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, b: 6, i: 1, k: 1, u: 2}. What is prob of picking 1 k and 1 n?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64228?\nAnswer: 2, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -689417911731\/131 + 5262701953. Let x = d + 30198. Let m = 3589\/2882 - x. What is the common denominator of -73\/20 and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -22. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*j - 18*j - 1570*j.\nAnswer: -1855*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260555 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 1 (b) 4\/7 (c) 4\/5 (d) 0.5 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*y**2 + (0 + y**2 + 0)*(-4 - 3 + 4) + 3 - 15 - 397*y**2 + 399*y**2.\nAnswer: y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 0.1 (b) -0.15 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 588568529.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(684) + sqrt(684) + 2)**2 + 4).\nAnswer: 48*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3568 - 312. List the prime factors of f.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1412846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132042 (base 5) in base 7?\nAnswer: 305014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {k: 4, c: 6, t: 1, s: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.1 (c) 0.1 (d) -5\/7 (e) 0.4 (f) 0.2 (g) 12114\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + k + 115 - 112, u = 2*k + 12. Suppose 5*l = 8 + 12. Let a = 7 - l. Put u, -5, a in descending order.\nAnswer: a, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1200, 4924, 11132, 19824?\nAnswer: 31000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-45)*1\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + f + 2*y = -5, -3*y = -2*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3 and -65\/14913.\nAnswer: 14913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert a766c (base 13) to base 9.\nAnswer: 510348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 18 = z. Let h = 6 + -9. Put h, z, -4 in descending order.\nAnswer: z, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Let c(s) = -3*s + 2. Let d be c(u). Is d\/(-6) - 151\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrszdsdzszddzdgrdz. What is prob of sequence zr?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 - s + 2. Let g be d(2). Let m = g + 7. Let k be 4\/(-10) - 127\/m. Solve 2*c = -c, 5*j + c = -k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3828 (base 12) to base 15.\nAnswer: -1d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + -11 - (-2 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1201420?\nAnswer: -1201423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3) + 1) + sqrt(12)\/(2*sqrt(4)) - (2*(sqrt(3) + 0) + -4))*-5.\nAnswer: -10 + 35*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480 + -576. Let t be x\/(-33) - (-26)\/(-13). Find i, given that t*i + 2\/11*i**2 + 8\/11 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + (-6 - (2 - 12)) + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 2*2*5\/(-15)*-30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1 - -3) + 17. Let u(c) = c**2 - 4*c - 4. Let p be u(-4). Let l = p - o. Solve -l = -2*a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x + 23*x - 12*x = 204 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 26.6513?\nAnswer: 27.1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + 0.06. Let v = -8322 + 8326. Sort v, a, -2 in increasing order.\nAnswer: -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30329851193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 219*g - 163. Calculate the remainder when k(7) is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -231*g - 18474. Give d(-80).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-98 - -5)\/(-3) - -4. Calculate the greatest common divisor of 175 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + 34\/6. Let i(g) = -g**3 - 11*g**2 - 27*g + 2. Let c be i(-4). What is the smallest value in -0.15, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 14*s**2 - s**3 - 10 - s + s**3. Let t be m(-14). Let a(u) = -2*u + 11. Let v(o) = -o + 5. Calculate t*a(d) - 9*v(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjgg when four letters picked without replacement from jgggggqqgjggg.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -82. Let q(l) = -l**2 - 15*l - 28. Let t be q(-12). Suppose 15 = 4*s + 4*b - f, -5*b = -3*s + t. What is the greatest common divisor of s and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76917.2 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 5, q: 1, j: 11}. What is prob of picking 2 v and 1 k?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2923, -5846, -8775, -11710?\nAnswer: -14651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 18 = -5*p, 2*p + 2*y - 3 = -3*y. Let b be 20 - (-2 - (-2 - -2)). Suppose -2 = 4*o + b. Is p greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {p: 1, i: 1, z: 3, a: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {j: 4, n: 2, y: 1, g: 2, u: 3, p: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 2*t. Let r(g) = 7*g**2 - 3*g. Let m(w) = -2*r(w) + 3*s(w). Let k(h) = -h. Calculate m(k(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + q)*(-1 + 4 - 4) + 0*q - 3*q + 6*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - 669474004442.\nAnswer: -669474004456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 28 + 10 = -6*z, 5*k + z - 3 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2148.1313 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16261 by 1154.\nAnswer: -16261\/1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26743539.\nAnswer: 3, 29, 307397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4832 + -2053. What are the prime factors of a?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/b**(-14)*b)\/b)\/b*b))\/b**19)\/(b**28)**(-1\/11) assuming b is positive.\nAnswer: b**(-335\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:46 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96763619 to the nearest integer?\nAnswer: 9837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3421\/23 (b) -3\/8 (c) 1\/2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 + -173. Calculate the remainder when 258 is divided by k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157944 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -24075201 not equal to -24075234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4062565.7+-2.6\nAnswer: -4062568.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30)\/(-5) + 168 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 bigger than -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-15) - 70\/(-15)) + -2. Find s such that -6\/13*s**4 + 0 + 4\/13*s**3 - 4\/13*s + 6\/13*s**p = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 2318 = -813. Let d = f - 35. Solve d = -3*s + 2*r + 14, 3 = s + s + 5*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (173*j - 416*j + 1848*j)*(-311 - 2*j - 3*j**2 + 311) as p + a*j**3 + z*j**2 + c*j and give z.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - (-4 - -6) - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500)*-4 - sqrt(4500) - sqrt(4500))\/sqrt(9)*-6 - (2*sqrt(180) - (sqrt(180)*-2 + sqrt(5))).\nAnswer: 337*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 21. Suppose -l*h + 4*p = -1028, -3*h + 5*p + 505 = -2*h. Suppose 0 = 3*u - 8*u + h. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794245658.\nAnswer: 2, 397122829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -13*f + 40. Suppose a + 3 = f. Solve -a*w + 12 = 3*p - 4, 0 = -3*p - w + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/((-26085)\/(-22385))*(-5)\/(220\/(-24))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.722 + 21.572. Let z = o - 21. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s + 36*s = -150 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 49*f + 441. Determine j(-7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 2*i - 1. Let h = 4 + 1. Suppose -h*d + l + 0*l = -19, 5*d + 5*l = -5. Let q be x(d). What is the greatest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81\/4 of a micrometer?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/11 - 4*b**3.\nAnswer: -2*b**3*(b + 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 7551\/5*d**2 - 3\/5*d**3 + 0*d.\nAnswer: -3*d**2*(d + 2517)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151196 by -2.\nAnswer: -75598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.3. Let p = s + 0.3. Suppose -4*v + 6 = -v. What is the closest to -0.1 in p, -2\/7, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4878*l = -4795*l - 249 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.75275 years in decades?\nAnswer: 5.575275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7357 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3872*z - 3904*z. Let p(c) be the third derivative of z*c**4 + 19*c**2 + 0*c**5 - 1\/360*c**6 + 0 + 0*c + 0*c**3. Solve p(d) = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*l**2 + 3 - 27*l - 28*l - l**4 + 11*l**2 - 6*l**3 - 7*l**2 + 53*l to the form u*l + o*l**4 + s*l**3 + y + r*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48065956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -17. Suppose -10 = 2*x - i*x + 2*v, -5*x + v + 14 = 0. Let w(h) = -8*h**3 + 6*h**x - 3*h - 1 + 4*h - 5*h**2. Give w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*f - 1017 = -13*f - 5037 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5357 - -2.65999. Let c = 0.71499 - r. Round c to two dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:55 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 5189*m**3 + 29 - 4 - 11 - 5279*m**3.\nAnswer: -90*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6967375 rounded to 3 dps?\nAnswer: 37.697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 - 3954350*p**2 - 3954345*p = 0.\nAnswer: -790869, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.3, 0.4, -5\/16, 0.113 in descending order.\nAnswer: 0.4, 0.113, -0.3, -5\/16, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131271*k**2 - 131278*k**2 + 4 - 4 - 131272*k**2 + 393822*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69079128*b**3*w + 71226330*b**3 wrt w?\nAnswer: -69079128*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 20. Suppose 0 = -6*w + w + l. Suppose 5*j = 0, -r + w*j + 318 = 127. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2.36, 3\/17, 2.\nAnswer: -0.5, 3\/17, 2, 2.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, -2, 347, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 12 = 0. Suppose 0 = -a, 3*h - a + 978 = w*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, 0.5, 2\/3, -2\/49?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 - 2*r - 24. What are the prime factors of n(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5934 + -5324. Calculate the highest common factor of u and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from kekee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13368176?\nAnswer: 2, 835511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/33420 and -11\/12.\nAnswer: 33420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*d**2 - 2*d**3 + 14 + 474*d**2.\nAnswer: -2*d**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30320159 times 0.4\nAnswer: -12128063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 + 15?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390616 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -37. Put 3, d, 2 in increasing order.\nAnswer: 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/61 and -63\/5.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4938891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 76*j**2 - 159*j + 17571. What is r(75)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.991558 rounded to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91976*p**3 - 76*p**2 + 76*p**2 - 2032*p**3.\nAnswer: 89944*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -13*g + 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Suppose w*t + 45 = 5*r, -3*t + 69 = -2*r + 7*r. Suppose 9 - 18 = -p + d, -4*d = 2*p. Calculate the lowest common multiple of p and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48708 + -584869\/12. Let a = t - -31. What is the closest to 1 in -5, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 - i**3 - 7*i**2\/2 + 2*i - 5. Suppose 5 + 40 = 3*t. Calculate the remainder when c(-5) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38481 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3*h - 8 + 8) + h - 3*h - 4*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -8, -14, -20, -26, -32?\n\"Answer: -6*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiu when three letters picked without replacement from jjijjjlijjjuifiujjj?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*j = 2*v, v = 4*j - 6. Suppose 3*b - 2*m = v, 8 = -b + 3*b + 2*m. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*n + 201*n + 187*n + 187*n + 188*n - 1320*n + 195*n + 179*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14862 + -14863. Let u(k) = k - 7. Let t(a) = -3*a + 20. Let q(w) = -6*t(w) - 17*u(w). What is q(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:00 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-10)*24\/2976\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*t - 36*t - 93*t**3 - 19*t**5 + 94*t**3 wrt t.\nAnswer: -380*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 19. Let q(t) = -682*t + 1. Calculate q(y(n)).\nAnswer: -1364*n + 12959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 - 14*c**2 - 10*c + 46. Let a(j) = j**3 + 3*j**2 + 2*j - 9. Let h(f) = -11*a(f) - 2*r(f). Give h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -281, -560, -839, -1112, -1373, -1616, -1835?\n\"Answer: f**3 - 6*f**2 - 268*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8629538 or 8629519?\nAnswer: 8629538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569312101 to the power of 1\/2, to the nearest integer?\nAnswer: 50688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, -34\/13421, 4, 4\/9?\nAnswer: -34\/13421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a - 2a?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*k**6 + 43*i*k**4 - i*k**3 + 21*i*k**2 - i*k - 33*k wrt k?\nAnswer: 480*i*k**3 + 1032*i*k - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 164) + 381 + -298?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15370*w - 8 - 2 + 12.\nAnswer: 15370*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 177*u - 4. Let c(s) be the second derivative of -s**3\/3 + 83*s + 1. Give h(c(n)).\nAnswer: -354*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7*n - 10 = -2*b, 5*n = 4*b - 18. Let f(g) = -3*g**2 - 5. Let j(o) = o**2 + 2. Give n*f(z) - 5*j(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11531 + -34597\/3. Which is the second smallest value? (a) -0.4 (b) -157 (c) 1 (d) x (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39442 - -27760. List the prime factors of (((-4)\/(-6))\/2)\/((-33)\/t).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -1165?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1770 divided by 1770\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3675*z**2\/4 - 33087*z\/4 + 27.\nAnswer: 3*(z - 9)*(1225*z - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 16 = -4*v, -2*q + 3 = -4*v + 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12608.30285 take away -5?\nAnswer: -12603.30285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 11. Let f be t(-5). Let y = -9 + f. Suppose -102 = 4*a - y*a. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6017.419 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2306, -2309, -2322, -2351, -2402, -2481, -2594?\nAnswer: -2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let f(j) = -29 + 10 + 19 - 28*j. Calculate f(n(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 2*o**2. Let p(w) = -22*w**3 + 11*w**2 - 10*w**2 + 15*w**3 - 6*w**2 - 8*w**2. What is -39*j(t) - 6*p(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8*(-3)\/(-6))\/(12\/3). Suppose -11 = -4*l - y, 7*l + 4*y = 4*l - 8. Suppose -l*s = -2*s + 4*d + 6, -5*s + 3*d = 28. Sort -3, v, s in decreasing order.\nAnswer: v, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 - 10*m**2 - 14*m - 11. Let d(w) = -6*w**3 - 11*w**2 - 17*w - 12. Let n(v) = 4*d(v) - 5*f(v). Determine n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6482 (base 10) in base 6?\nAnswer: 50002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by (-4 + -3)*(-60)\/14?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14396740 by 485.\nAnswer: -29684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.8. Let y(l) = l**2 - l - 2. Let p be y(2). Suppose p = 2*h + 2*h - 4. Which is the smallest value? (a) -0.4 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*j + 5, 44 = 2*y - 6*j + 46 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 37*u. Let y be l(-17). What is the highest common divisor of y and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p - 3*m = -10, -p + 30 = -5*m. Let z(n) = 2*n - p*n + 5*n. Let s(g) = -4*g**2. Determine z(s(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/sqrt(32))\/sqrt(4).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 4*q**2 - 4*q**2)*((0 - 3 - 6)*(2 + 0 + 0 + (-1 + 2 + 1)*(-1 + 0 + 3) - 1 + 2 + 1 + 1 - 6 + 3 - 4 + 2 + 3) + (0 - 2 + 1)*(0 + 1 - 2)).\nAnswer: -186*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 2*o + 2. Let f(j) = -j**3 - 3*j**2 + 4*j - 2. Let k be f(-4). Let d be l(k). Let s be (-6)\/d*(-2 + 1). Is -2\/35 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from vjgkjjo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -367956, -367809, -367662?\n\"Answer: 147*u - 368103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -879 - -894. Calculate the remainder when k is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**3 - 1598*f**2 - 329667*f - 328053. Let q(y) = -11*y**3 - 3188*y**2 - 659333*y - 656107. Let l(g) = 3*q(g) - 7*u(g). Solve l(h) = 0 for h.\nAnswer: -405, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/4680 and -167\/64800?\nAnswer: 842400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -15, -4, 0.4, 6\/13, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/107280 and 13\/5960?\nAnswer: 107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/9)\/((-2)\/60). Is 9 a factor of (-2)\/(-6) + b\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 8. Let d be p(-3). Let r(f) = -9*f**3 + 13*f - 13. Let m(k) = 4*k**3 - 6*k + 6. Determine d*m(x) + 6*r(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -102. Let a(u) = -u**3 - 8*u**2 - u - 1. Let t be a(n). Suppose 30 = t*x - 54. What is the highest common divisor of x and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7808, 15623, 23442, 31265, 39092, 46923?\n\"Answer: 2*a**2 + 7809*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -11*j**5\/20 - j**4\/12 - j**3\/3 + j**2 + 565*j - 1. Let f(n) = -n + 1. Give -2*f(t) + m(t).\nAnswer: -11*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-4))\/(1\/(-4)). Suppose 27 = 3*b + 3*m, -21 = -a*b + 2*m - 4. Solve 0 = -b*i + 2*h - 25, i - 5 + 23 = 3*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 56. Let r = b + -22. Let t = r - 1. What is the remainder when 35 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/5, -0.052, -1\/2?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64098792 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 k(i) = -i**2 + 3*i - 3. Suppose -118 = 3*o - 1. Suppose -328 = -5*q - 3*q. Let z = o + q. What is k(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 z when three letters picked without replacement from zvpvzvvvpzpzvp.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u**2 - 11*u - 2. Let a be h(1). Let r(d) be the first derivative of 3\/5*d**5 - 4*d**3 + 9*d + 4 - 3\/2*d**4 + 3*d**a. Find f, given that r(f) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 9 - 15 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 + 28372*f**4*k**2 - 828*f**2*k - 2*k**2 + 9*k wrt f?\nAnswer: 120*f**2 + 680928*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by 310013?\nAnswer: 368\/310013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589?\nAnswer: 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-3)\/(-9) + 2) - (-24109 + 24137).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 2*w + 4*w - 6*w. Calculate k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131225?\nAnswer: 5, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95304 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/31)\/g)\/(g**(-1\/6)\/g)*(g\/(g**(-1)\/g*g))\/((g\/g**(1\/13)*g)\/g))**4 assuming g is positive.\nAnswer: g**(5702\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**2*c**3 + a**2*z + 26*a*c*z + 10*c**3*z - 166*c**2*z + c*z with respect to a.\nAnswer: 20*a*c**3 + 2*a*z + 26*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055015269?\nAnswer: 7, 11, 13701497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-2 - sqrt(192))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oszsssasszzvszz. What is prob of sequence zasv?\nAnswer: 1\/936","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9))**(-32)*(a**(-2\/5)*a)**(-15) assuming a is positive.\nAnswer: a**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let p = h + -4.9. Let c = 5 + p. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6531648 = -3254*t + 3158*t. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50481320*k**3 - 34893907 wrt k?\nAnswer: 151443960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - n. Suppose -2*h + h = n. Let c be (13\/(-338))\/(3\/(-6)). Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26692.785 months to decades.\nAnswer: 222.439875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 5*x - 35, 3*r = -2*r - 3*x - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -1132?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = 3. Let z(g) = -g**3 - 2*g**2 + 2*g - 3. Let c be z(x). Determine i so that c - 2\/3*i**2 + 0*i + 2\/3*i**5 + 2\/3*i**4 - 2\/3*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3595.862 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + -403. Let z = -179 - b. Solve -3*c = -5*g - 4*c + 16, -z*c = -3*g + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2675, -3, 5, -84.\nAnswer: -2675, -84, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648506 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*s + 224, 2*s = 3*s + t - 112. Suppose 28*v - 26*v = s. Let r = -35 - -45. What is the remainder when v is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 + -289. Let k = 18.1 - 18. Sort -3\/14, y, k, 2\/11 in ascending order.\nAnswer: -3\/14, k, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-12)*c)\/c*c**(-2\/25)*c\/(c\/(c**(-32)*c))*c\/c**(1\/19))**32 assuming c is positive.\nAnswer: c**(-640416\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*m**3)*(4*m - m - m) + m**2 + 2*m**4 - m**2 + (57*m - 57*m - 2*m**2)*(-m**2 + m**2 - m**2).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 783979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (1 + sqrt(125) + 2*sqrt(125) + 2 + 5*sqrt(125)*1 + 2*sqrt(125)*-2*-5)**2.\nAnswer: 840*sqrt(5) + 98011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/164 and 83\/20?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10456 + 4556. Round d to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q + 14 - 7 - 7.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 14124835*h**2 + 14124837*h + 2 = 0.\nAnswer: -1, -2\/14124835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let s(w) be the first derivative of -2*w**3\/3 - 3*w**2\/2 + 4*w + 285. Calculate -s(n) - 4*u(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089187 to 5 decimal places.\nAnswer: 0.00892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**3 + 2*m**2 - m + 4. Let n be v(-3). Suppose -9361 + n = -6*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 10) to base 14\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -4 - (2 - 0). Let o = -3 - c. Put o, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((24\/(-9))\/(-2))\/(7\/126). Calculate the greatest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, m: 1, e: 2, s: 1, o: 3}. Give prob of sequence dod.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-2)\/2*(-8 + 3). Let g be (2 - -3)*(-3 - -4 - 0). Suppose g = 2*s + 13. What is the third smallest value in n, -0.07, s, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2 = 3*k - 7, 2*k + 1335 = 3*j + 1340 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -6, 1\/8, -1, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/11 - 4408*l\/11 - 294970\/11 = 0.\nAnswer: -65, 2269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-72*r**3 + r + 123*r**3 - 65*r**3 - 2*r**2).\nAnswer: 28*r**3 + 4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(-6)\/(-40). Let d = -2 + 2.5. What is the closest to 0.2 in 3\/5, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*p + 3 + 69*p + 282*p + 356*p as o + g*p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, 0, 31, 19, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 65124 (base 9) to base 7\nAnswer: 236461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -100 - -9)*2\/(-4). Sort l, -2, -1, -3.\nAnswer: l, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4466 - 0.5534. Let w = -2.2 - -1.1. Which is the smallest value? (a) v (b) w (c) 0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935377 is divided by 515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*t - 28*t**2 - 161*t.\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 6*p - 4. Let u be (-1224)\/54*(-1 + (-10)\/(-4)). Let d = 29 + u. Give n(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/98)\/(78\/91)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 91. Suppose o + 4*k = 12, -m*o - k = 3*k. Is 566*(-2 + -4)\/(o - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k. Let c(m) = 12*m**2 - 5*m**2 - 5*m**2 + 15*m**2. Give c(r(u)).\nAnswer: 2873*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1748*q + 17492. Give o(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - (42\/9 + -2). Let z be (30\/75)\/(m\/(-15)). Let n(a) = 6*a - 3. Determine n(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - -2. Let f = -0.8 - w. What is the closest to -2 in f, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -42, 6, -2\/53, 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k + 2. Let l = -2 + 4. Suppose -c = -l*c + 4. Calculate f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -40) + -13 - -22.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/i**(-22\/9))\/(i**(3\/8))**(-2\/113) assuming i is positive.\nAnswer: i**(-38845\/4068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 50. Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3 + 284*m**2 + 94*m.\nAnswer: 2*m*(m + 47)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 2140?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 4*q**2 + 5*q**2 - 2*q**2 - q**2 + (-3*q - 4*q + 4*q)*(-2*q + 2*q + 3*q))*(-16 + 20 - 11).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -16210 greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x**2 - 51*x. Let k(p) = -7*p**2 + 26*p. Suppose -34 = i - 29. Let a(y) = i*k(y) - 3*q(y). Find the second derivative of a(g) wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q - 25. Let r be o(-1). Let x be (-16)\/(-42)*r + 4. Solve 2\/7*d**5 - x*d**3 + 0*d**2 + 0 + 2\/7*d**4 + 0*d = 0 for d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-6)*-3 + -3 + -2. Suppose 3*y - 2 = o*y. Let j(a) = 4*a + 7*a**2 + 3*a**3 + 4*a - y*a**3 - 6 + 1. Give j(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894 = -0*y - 6*y. Suppose 3*w - y - 610 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 3, -9 in decreasing order.\nAnswer: 4, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/6 or 2?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*p + 17, 0 = 2*z + p - 2 - 3. Suppose -4 = -2*y - 4*i, 4 = -y + 3*i + z. Solve 3*u + y = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110111 - 0?\nAnswer: -10011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/10 + 74\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5 + 27*r + 9 + 26*r - 54*r. What is the smallest common multiple of 70 and l(12)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/11 (b) 1\/9 (c) 3 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let g(b) = -13*b - 65 + 65. Determine g(w(s)).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-414)\/552*32\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.533098 times 0.3\nAnswer: 0.4599294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**3 - i**2 + 20*i - 1. Let a(b) = 5*b**3 + 3*b**2 - 22*b + 2. Let x(c) = -3*a(c) - 4*f(c). What is the units digit of x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**4\/7 + 2*u**3 - 289*u**2\/7 - 300*u\/7 = 0.\nAnswer: -12, -1, 0, 25\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*s**4 - 628*s?\nAnswer: 768*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 10*u + 173. Let g(k) be the third derivative of 0*k**4 + 1\/10*k**5 - k**2 + 0*k + 2*k**u + 0. Differentiate g(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3458, -6926, -10396, -13868, -17342, -20818, -24296?\n\"Answer: -s**2 - 3465*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 48*q**3 + 39*q**2 + 4*q. Let w(s) = 50*s**3 + 39*s**2 + 5*s. Let x(i) = 4*w(i) - 5*y(i). Find the third derivative of x(z) wrt z.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -18) + -3 - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-4) - ((-185076)\/(-18603) + 6\/117)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1656)\/(-324) - (-8)\/(-72). Suppose 3*a - 9 = 0, 2*a = 5*h + 5*a - 19. Suppose -4*v - f*q = -248, 3*v - 4*v + 49 = -h*q. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, -2\/3, -0.09, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 116, 226, 332, 434, 532?\n\"Answer: -2*f**2 + 116*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/19517951 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*k = -177*k + 331*k + 22971 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 14*n**2 - 9*n - 14. Let z be q(6). What is i in -3*i + 4*i**2 + 12*i**2 + 11*i - z*i**2 - 4 = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 6, r: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiyol. Give prob of sequence yai.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g - 6 = 0. Let n be g\/4*0\/(-2). Suppose 2*p + 5 = -h + 16, n = h + 1. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32128*w - w**2 + 138 - 5*w**3 + 2*w**3 - 32128*w as l + d*w**3 + p*w + j*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:48 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 3\/(-7)*3. Let p = -3 + 4. Let i = p - -4. Which is the biggest value? (a) x (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26986104 divided by 2248842?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 14*r - 5. Let z be v(-15). Suppose -z = -3*f + f. Solve 4*h = -f - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*n + 28, -3*n - 55 = -8*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p, 423259 = 2*j - 49*p + 52*p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 0.4 (c) -48 (d) -4 (e) -84\/11 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/20 - c**2. Let u(p) = 3*p**2 - 5*p + 4. Calculate the lowest common multiple of t(1) and u(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/4*(-12)\/(-18) and 1\/5 - 86\/80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 + -220.89. Let a = -1.19 - p. What is the nearest to a in -0.08, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 39*k**2 + 503*k - 117. Let l = 369 + -175. What is the remainder when l is divided by g(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 38. Suppose -5*w + m = -1. Let v(h) = -h**3 + 3*h**2 - 4*h. Let q be v(w). Round q to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63843134.\nAnswer: 2, 31921567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 22*y - 4 = 0. Suppose -4*a = 4*j - 4, 4*a = y*j + 22 - 2. Let m(n) = -2*n**2 - 2*n - 3. Determine m(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**3 - 33*s**3 - 28*s**3 - 30*s**3 + 115*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 - 4*f**2 - 5*f - 1. Let h(l) = -9*l**3 + 10*l**2 + 11*l + 1. Calculate -2*h(q) - 5*m(q).\nAnswer: -2*q**3 + 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -11*a + 15*a + 5*h - 11, 62*a + 128 = 183*a + 7*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-986)\/153)\/29*10\/(-4)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*u - 28*u - 228 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:48 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1053)*-2.\nAnswer: -108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:00 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1485)\/132*14*72\/210?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.679 - 0.678326. Round b to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -4, -63, 4, -1, -3 in decreasing order.\nAnswer: 88, 4, -1, -3, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 48*k**2 + 93*k - 2107. Let x be y(47). Calculate the highest common factor of 3278 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 9*t - 1 - 2*t**2 + 0 - 10*t + 23*t. Suppose 2 + 2 = -j. List the prime factors of b(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/82719 and -28\/35451.\nAnswer: 248157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179815*f**2*o**2 + f**2*o*p**3 + 15*f*o**2*p**2 - 8*f*o**2 + f*o*p**3 - f*o*p**2 - 2*f*o*p + 2*o*p**3 wrt f?\nAnswer: -359630*o**2 + 2*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**6 - 16*n**6 - 4*n**5 + 4*n**6 + 2*n**5 - 51*n**2 wrt n.\nAnswer: -1320*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4. Let c be n(0). Suppose -3*g - 64 = -82. Let s = c + g. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.9 to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69723 - 4?\nAnswer: 6971e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -5 (c) -58 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 372987, 373073, 373293, 373713, 374399?\n\"Answer: 11*y**3 + y**2 + 6*y + 372969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*1221\/1815 + -7. Determine n so that 16\/5*n - x*n**4 - 16\/5*n**3 + 32\/5 - 6*n**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/3*1\/(-2). Let h = 6 - g. Suppose -2*x + 5*c = -0*c + 11, 5*x = -2*c + 16. Sort h, x, -4 in descending order.\nAnswer: x, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 + -1)*76494\/427.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 5852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 16, 24 in descending order.\nAnswer: 24, 16, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8063, 31176, 69337, 122546?\nAnswer: 190803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3\/5 - 345*p**2 - 15744*p\/5 - 14016\/5 = 0.\nAnswer: -8, -1, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -584284 (base 12) to base 5.\nAnswer: -330323343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -y - 2*k, y + 2*k - 10 = 5*k. Suppose y*r - 687 + 217 = 0. What is the remainder when 93 is divided by r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 20 - 51)*(4*x - 4*x - 2*x**2) + (-3 - 1 + 5)*(-12*x**2 - 8*x - 5*x + 8*x) to the form f + t*x**2 + o*x and give t.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247258641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1894\/7 + 270. Suppose -z - 29 = -r - 6*z, 7 = 3*r - z. Put 0.5, d, r in descending order.\nAnswer: r, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(21)\/sqrt(27).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -24. Let g(m) = 30 + c*m - 30. Let y(b) = -9*b**2 - 2*b**2 + 0 + 15*b**2 + 0. What is g(y(f))?\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*23590\/(-20) + (-1)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmykmtnmytktkmyrt. Give prob of sequence nr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281758*r**3 - 1281745*r**3 + 2563519*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:16 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 64. What is the second smallest value in -0.5, 1\/5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 817 and 2150?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3087)*3*-2)\/(sqrt(9)*-2*-6 - (sqrt(441) - 1*sqrt(441) - sqrt(9))).\nAnswer: -126*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(35\/(-6))*-10. Suppose 9*r + n = 12*r. Calculate the remainder when 6 is divided by (1 + 5)*2\/r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 264786661, 264786659, 264786657, 264786655, 264786653, 264786651?\n\"Answer: -2*n + 264786663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79.71444 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + x = -103, -4*g - g + 2*x + 128 = 0. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -28523 - 15507. Suppose -4*i - i + b = 5*x, -2*x + 2513 = 3*i. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 170588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 19*v**2 - 54*v + 74. Let k(s) = -7*s + 78. Let t be k(8). What is the hundreds digit of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/35*(1\/(-3))\/(((-385)\/75)\/(-11)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 2)*(3 - 3 + 2*m)*(-4 - 2 + 4) + 17*m - m + m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 132?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186636823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 22. Let r = k + -31.7. Let u = 0.7 + r. Which is the second smallest value? (a) -0.02 (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 6 + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420)*-1 - (5 + sqrt(20) + 0))*6 - (-1 + 2*sqrt(80) + 2))**2 + -5.\nAnswer: 9424*sqrt(5) + 116476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/((-13*(-28)\/7371)\/((-4)\/(-3))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 8*k**2 - 9*k + 6. Let f be m(9). Put f, -1, 4 in descending order.\nAnswer: f, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 27.038\nAnswer: -58.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6536753*m**4*u - 2*m*u - 5*m - 280*u - 98 wrt m?\nAnswer: -78441036*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, f: 14}. What is prob of sequence nnf?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8608000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -16.5?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.382548 and -0.266.\nAnswer: 0.101757768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, -1453, -4302, -8289, -13414, -19677, -27078?\nAnswer: -35617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -84230*k - 4 + 7 + 84219*k. Let c(i) = -5*i + 2. Give -13*c(w) + 6*x(w).\nAnswer: -w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -198.\nAnswer: -5\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 6*q + 10*q - 5*q = -177, -2*f - 3*q = 75 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/6*15975\/4473.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 209 = -7*y + 103 - 200 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 23*n**2 + 12*n + 62. What is the tens digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1562*z + 560 = 1702*z. What is the closest to 0 in -0.1819, -1\/3, z?\nAnswer: -0.1819","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 272.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.61476ml in litres?\nAnswer: 0.07161476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12029313 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*r + 96 = 112, 4 = -4*u + 4*r. Solve 12*b = -u*h + 10*b + 8, 4*h + b = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -9 (b) -3 (c) -1\/6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -33.0819 * -2\nAnswer: 66.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -4 (b) 0.2 (c) 11.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, 2\/5, -2\/113 in increasing order.\nAnswer: -2\/113, 2\/5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**9\/20160 - 3*q**8\/8960 - q**7\/1120 - q**6\/960 - q**4\/8 - 4*q**2. Let b(m) be the second derivative of d(m). Factor b(r).\nAnswer: -3*r*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 0 + 0)*(-2 - 1 + 1) + 4*b - 4*b - 3*b)*(2*b - b + 2*b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 5*d + 6*d)*(0*d + d - 2*d) - 35*d**2 - 4*d**2 - 24*d**2 - 4*d**2 + 4*d**2 + 2*d**2.\nAnswer: -69*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3271 - -3269. Which is the smallest value? (a) o (b) 0.1 (c) 150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39510*z**6 + 15937*z**2?\nAnswer: 4741200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 31 (b) -0.5 (c) 5 (d) -37 (e) 0.097\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from aayga?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(119)*-1 - sqrt(119)))\/((sqrt(392)\/sqrt(32))\/sqrt(7)).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*p = 10009, -440*p = v - 435*p - 4992. Calculate the highest common divisor of v and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13368 greater than 0.0113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(-6) + (-1)\/3. Let j(f) = -f - 4. Let h(d) = -d + 12. Let o be h(7). Let z(a) = -o + 16 - 8. Determine g*z(w) - 3*j(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -107, -247, -399, -569, -763, -987, -1247, -1549?\n\"Answer: -t**3 - 133*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.35. Let i = -18.58 + 21.58. Let g = -406\/45 - -44\/5. Sort g, i, v in ascending order.\nAnswer: g, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (796576\/(-264))\/62*-3*(-1)\/2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 3*m. Let j(f) = 2*f + 5. Let q(x) = 1. Let t(h) = -j(h) + 5*q(h). Calculate -2*s(z) + 3*t(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, a: 3, b: 5, z: 1, e: 2}. Give prob of sequence eaob.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1024 and 468?\nAnswer: 479232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 17 = r + 4*r, 3*r - 5*o = -5. Suppose -2*z + 0 + 54 = -2*s, 3*z - 79 = 2*s. Suppose 45 + z = r*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 20 + 14. Let i(z) = 3*z**2 - 4*z + 13. Let x be i(5). What is the greatest common factor of x and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 1631, 3670, 6525?\nAnswer: 10196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 10*f**3 + 21 - 66 - f**2 + 21 in the form l + a*f**2 + s*f**3 + w*f and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16109 - 15851. Calculate the greatest common factor of 8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2046?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.91464 decades to millennia.\nAnswer: 0.0091464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 6, 0.78, 4?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 + 8 = 0. Let w = -8183\/138 + 256\/23. Let r = -2899\/60 - w. Which is bigger: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i + 1. Let t be x(1). Suppose t = j - 4 + 1. Suppose 2*d + 14 - 190 = 3*s, -3*d + j*s + 267 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 51\/(-12))*-4. Let h(s) = s**2 - 9*s - 10. Suppose -3*w = 5*o - 36, 5*o = 4*o + w + 12. Let v be h(o). Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2888.2 + -2888. What is the second biggest value in 147, 0, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*p - 706 = 812 - 528. Solve 4*k + 2*c - 18 = 0, 115*k - 116*k + 5*c + p = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/10)\/(-1 + (-12)\/(-15)). Let v(s) = s**3 - 5*s**2 + 7. Let q be v(5). Let j = q - 3. Solve -5*y - j - c = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527086083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1947, -3923, -5911, -7917, -9947?\nAnswer: -12007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-87)\/(-66) - (-18)\/(-12). Which is the closest to 0.2? (a) r (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1533 or 458649?\nAnswer: 458649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + w - 25 = 0, 22 = 2*n + w + w. Let m(y) = y**2 - 4*y - 2. What is the tens digit of m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:49 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*j**3*o - 5*j**3 - 41*j**2*v - 2*j*v + 8*o*v wrt o.\nAnswer: 27*j**3 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 5, 0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353 + 775. List the prime factors of l.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9 + 21 = 0. Suppose 0 = -s*d + 5*x + 260, 5*d - 2*x - 276 = -x. Suppose 0 = 6*a - d - 304. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 35*n**2 - n - 33. Let x be c(-35). Suppose x*s - 104 - 62 = 0. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 979151, -9.\nAnswer: -9, 3, 979151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4 - 3060517*s**3\/4 - 84932155*s**2\/4 - 208122779*s\/4 + 57386775\/4 = 0. What is s?\nAnswer: -25, -3, 1\/4, 765157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*b = -19, 5*t - 28 = 2*b - 10. Calculate the least common multiple of 16 and t\/14 + 80\/14.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by 2.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3 + 4) + 1. Let y be 1 + 2 - m\/4. Solve 0*h - 4\/5*h**y + 2\/5*h**2 + 2\/5*h**4 + 0 = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*b + 13 = 25 + 28, 5 = -b + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -1585*f**4\/4 + 1541*f + 2271. Find the first derivative of j(c) wrt c.\nAnswer: -4755*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + -9 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 15 + 600*p**2 - 22 + 38 + (2 + 1 - 2)*(-p**2 - 2 + 2) - 4*p**2 - 2*p**2 + 5*p**2.\nAnswer: 598*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a week?\nAnswer: 92736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 684.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/9)\/(-2*4\/1152). Suppose 9*h + q = 20*h. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5920 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45847, -3, 8, 4, -2, -7 in descending order.\nAnswer: 8, 4, -2, -3, -7, -45847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 - 364.004295. Round c to 4 decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Let g be 2*((-4)\/(-4) + 1). What is the biggest value in 0.1, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*t - 14828 - 13389 = -743*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, b: 7, n: 2}. What is prob of sequence bnjb?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 9*r + 4900. What are the prime factors of l(0)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 171*m + 192 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -15, -3*u + 32060 = -6*q + 32021 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280558599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.49 (b) 0.53 (c) 72\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-118)\/(-38) - 11\/(77\/21). What is the second smallest value in -10, m, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -143, -337, -619, -995?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-118)\/(-5) - (-24)\/60. Suppose 6*x = 2*x + t. Suppose 2*s - 16 = 4*a, -4*s + x*s - 2*a = 22. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33809.12 centimeters to meters.\nAnswer: 338.0912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67, -69, -65, -49, -15?\n\"Answer: a**3 - 3*a**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11938 - 7542. What is the highest common divisor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004537 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/sqrt(180) - ((1*sqrt(200))\/sqrt(4) + sqrt(50)))\/((sqrt(120) - -2*sqrt(120)*1)\/(sqrt(36)\/(2*sqrt(3)))).\nAnswer: -11*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 70*b**2 + 137*b - 46. Let u be q(68). Calculate the highest common factor of u and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/4)*x*(x*x*(x\/(x\/(x*x*x**(7\/3)*x)))\/x)\/x*(x*x\/x**(-8\/9))\/(x**3\/x) assuming x is positive.\nAnswer: x**(161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 + -125 + 113 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*a**2*c*s**2 + 5*a**2*c + 5*a**2 + 16*a*c + 2*a + 3*c*s wrt s.\nAnswer: -62*a**2*c*s + 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591405.6 days in milliseconds?\nAnswer: 51097443840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*a)**(-32)\/(a\/a**(-9))**30 assuming a is positive.\nAnswer: a**(-3052\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4021*t**2 - 263*t + 43 - 6*t**3 - 43 - 4026*t**2.\nAnswer: -6*t**3 - 5*t**2 - 263*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191052.77299476 - -0.4.\nAnswer: -191052.37299476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r + 4. Suppose 0 = r*l - 11*l + 34200. Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 - -7)) + 5 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 89.73. Let l = 2.47 + y. Which is the closest to 1? (a) 5\/21 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43876542 to the nearest integer?\nAnswer: 6624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 9*f + 2. Let b = -3 + -6. Let s be c(b). Suppose 3*i = i - 4, 0 = s*w + 3*i - 88. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.8 and 2110?\nAnswer: 2109.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from hhzklvz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 3*f**3 - 17*f**2\/2 - 2*f + 8. Let p be s(-19). What is the tens digit of (2 - 14\/6)\/((-10)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + y + 14, o - 4*y + 11 = -11. Let d be ((-1)\/o)\/((-3)\/(-9)). Factor 0 + 0*i + 1\/2*i**3 - d*i**2.\nAnswer: i**2*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487003118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1109 and 0.06.\nAnswer: 1109.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(210) - 2*sqrt(210)) + sqrt(210))\/sqrt(7))\/(sqrt(216) - 2*sqrt(216) - sqrt(6)) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - l - 11*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(2*44))\/((-1014)\/1014)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 36*i - 27*q + 142 = -39*i + 44, 3*i = 4*q - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248 + 168. Let k = -79.922 - r. What is k rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let x(i) = 475*i + 2. What is l(x(u))?\nAnswer: -451250*u**2 - 3800*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572681300 divided by -314536260?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -8.9854. What is t rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**4 + 7*a**3 + 1937140*a**2 + 508967637*a?\nAnswer: 24*a**2 + 42*a + 3874280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3366)\/(-186) - (1 - (-11 + 0)) - 6.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319420 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7003 and 5875.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t - t**2 - 29\/60*t**5 + 4\/3*t**3 + 9 - 1\/24*t**4. Differentiate b(a) with respect to a.\nAnswer: -58*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/8 + 146659*j\/2 + 2639700 = 0.\nAnswer: -586600, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 2*j - 3*m, -3*m - 9 = 0. What is the second derivative of 15*w**3 - 6*w**j - 10*w**3 - w wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/72 + 14\/(-21) + 218\/(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2426271773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 5060384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 4*u - 582988 = 17*n, 0 = -n + 2*u + 145753. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 23*v - 3. Let t(a) = 300*a - 40. Let d be 3*49\/(-51) - (-2)\/(-17). What is d*t(b) + 40*y(b)?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 4*a**4 - 6*a**4 + (0*a**2 + a**2 - 3*a**2)*(2*a - 2*a**2 - 2*a) + a**2 + 2*a**4 - a**2 - 7*a**4 - a**4 - 4*a**4)*(1 - 3*a - 14 - 1).\nAnswer: 21*a**5 + 98*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 23*q**3 - 506*q**2 - 13*q - 2. Give l(22).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 2, t: 4, g: 1, z: 1, v: 2}. Give prob of picking 1 g, 2 e, and 1 n.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5388390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46250775 and 23400.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - j - 8 = 0, -466*v + 471*v - 4*j = 29 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by -7.\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183635 and -596?\nAnswer: 109446460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 17*x = -328, -4*z + 476*x = 480*x + 68 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15*q**2 - 56*q + 22. Let y be g(-15). Which is greater: -2512 or y?\nAnswer: -2512","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 13 = -4*d, 7*j - 5*j - 26 = -d. What is the remainder when 48 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 2651812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*f*q**2 + 76*b*f*q + 3*b*f + 5736*b*q**2 + 3*b + 3*f*q - 2*q**3 + q wrt q?\nAnswer: -2*b*f + 11472*b - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000000110010011 (base 2) in base 11?\nAnswer: 125021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeocyppwwyoeye. What is prob of sequence yco?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v**(-3\/7)*(v**(-2\/19)*v)\/(v*v*v*v**(-19)))**(-44) assuming v is positive.\nAnswer: v**(-148192\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 24 = 3*b. Let z = b - 9. What is the units digit of (-3 - -17) + z - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -48*x**2 - 5*x - 7. Let o be v(-3). Suppose -20*p - 164 - 916 = 0. Does 8 divide p\/189 + o\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**29)\/(v*v**(-8)*v))\/((v*v**(9\/7)\/v)\/(v\/((v*v**(-24\/7))\/v*v*v*v))))**11 assuming v is positive.\nAnswer: v**(2783\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 3*y - 2. Let f be x(-3). Let g be (-123)\/(-11) + f\/110. Suppose -189 = -g*w + 8*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153775117 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxffxxxfx. What is prob of sequence xxxf?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(432))**2*-4 + (sqrt(432)*-4*3 - sqrt(432) - sqrt(432))*-6.\nAnswer: -46656 + 1008*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 11 - (10 + -10)) + 9\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.63 + -0.07. Let q = 1.3 - y. Let s be 2\/(-4)*(-6)\/15. Which is greater: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65961 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p - 3. Let c(o) be the first derivative of 8*o**3 + 3655. Calculate r(c(j)).\nAnswer: 216*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1755, -2439, -3123, -3807, -4491?\nAnswer: -5175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30846*m**2 + 10 - 30869*m**2 + 61711*m**2.\nAnswer: -4*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1541299221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -324353?\nAnswer: 324400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 5*d. Suppose u - 4*b - 6 = -b, -u + 5*b = d. Suppose -5*i = -u*i + 390. Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -201, -444, -691, -942, -1197, -1456?\n\"Answer: -2*g**2 - 237*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8156 times -41?\nAnswer: 334396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -526 - -584. Suppose -n + 1 - 6 = 0, 4*f - y = -2*n. Solve -7 - f = 6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.499 - 1.504148. Let h = s + 0.0051. What is h rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1815, 1776, 1737, 1698, 1659, 1620?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**5\/90 + v**4\/6 + 48*v**3 + 117*v**2 + v. Factor u(n).\nAnswer: -2*(n - 24)*(n + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -950, 2\/5, -1\/2, -7, 0.2, -0.4 in ascending order.\nAnswer: -950, -7, -1\/2, -0.4, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from rrkakkrarrkrkrcak?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, 103, 255, 447?\n\"Answer: 20*k**2 + 52*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-916)\/32976).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccpcpcsipccc. What is prob of picking 1 p and 3 c?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -204 <= -207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 16) in base 8?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.27657996 rounded to 3 dps?\nAnswer: 9.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2066652 and 756.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 44740*n - 44739*n - 6*a, -13 = 2*n + 5*a for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77106570 to the power of 1\/2, to the nearest integer?\nAnswer: 8781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 + 4*k + 7. What is r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 194 + 194.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose -3*c + 0*c = -6. Solve i + 12 = x*i, -11 = -3*s - c*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-3)*(-10)\/(-80)*12. Solve 3 = -z + w, b*z - 1 = z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, e: 1, p: 1}. What is prob of picking 1 v, 1 p, and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -235541 + 2442.1?\nAnswer: -233098.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqkqkqkakaqkkkkkqk. What is prob of sequence aqqq?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157450 is divided by 78703.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (3 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (1 - 0)\/((-16)\/48). Let r(s) = 6*s**3 + 2*s**2 + s. Let n be r(-1). Sort n, p, 4 in ascending order.\nAnswer: n, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156895 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6 - 1 - 1 + 2 + x. Let i be a(0). Suppose 5*l + 3 = -2. Sort i, -5, l in increasing order.\nAnswer: i, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*u + 40, -18 = 5*i - u + 22 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190458859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**2 + 121*u + 0 - 1\/6*u**3 + 8\/3*u**4. Let q(o) = -o**2. Determine n(q(k)).\nAnswer: 32*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2)*-6)\/((sqrt(216)\/sqrt(4))\/sqrt(6)) - 1*(sqrt(225)*5 + sqrt(25))\/sqrt(5).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/201093 and 97\/2744328?\nAnswer: 46653576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2 + 2. Let v(b) be the second derivative of -b**5\/120 + b**3 + b. Let d(g) be the second derivative of v(g). Give d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -19. Suppose -4*x - 13 = 4*a + 7, 5*a - 5*x = -k. Let y be ((-2)\/a)\/(2\/78). Solve 2*m = -3*p - 13, 0*p + y = -p - 5*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 96*y**2 - 1320*y - 3872.\nAnswer: -2*(y + 4)*(y + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62034196 and 0.2.\nAnswer: 12406839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 491 (c) -2 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*q - 4*q**2 + 5*q**2 + 250*q**5 - 231*q**5 wrt q.\nAnswer: 380*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((-3)\/9*-6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*f - 2*f + 3*f)*(3*f**2 + f**2 - 5*f**2) + 34*f**3 - 892*f**2 + 892*f**2)*(-1 + 5 - 2) as w + x*f**3 + t*f**2 + g*f and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 30 = m - 13, -2*m = v - 16. Let w = 246 + -196. What is the greatest common factor of w and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**2 - 13 - 11\/3*s**3 + 7*s. Differentiate r(p) with respect to p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*u - 4631, k - 3*k + 2 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = -5*a, -1 + 3 = 2*q - 2*a. Suppose 0 = q*c - 10 - 8. Solve -5*u + 9 = -c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 + 5710 = 28*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 19 + 10. Let b(z) = 3*z**3 + 2*z**2 - z - 2. Let j be b(-2). Let y = j - g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, 4, -13757 in descending order.\nAnswer: 4, -268, -13757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(6292) + sqrt(6292).\nAnswer: -4 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/14 + 16*j**3\/21 + 20*j**2\/7 + 32*j\/7 + 209. Factor u(g).\nAnswer: 2*(g + 2)**2*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-10780 + 21556 - 10773 - 124*m).\nAnswer: -124*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -48*m + 13. Let y be t(-2). What is the tens digit of (-3 - y)*(-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 5*h = 3*k - 12, 9 = -k + 5*h. Solve 5*z = -k + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose 196 = 15*k + 46. Let h(o) = -o**2 + 11*o + 2. Let b be h(11). Solve u*v - k = -b*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 13 - (-969 - -941 - (-28 - -1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(2) - -1*sqrt(2)*-1 - (sqrt(36)\/sqrt(2))**2)*-3.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 6. Does 15 divide (j - (-23)\/2)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 520357392 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2049, 2030, 1975, 1866, 1685, 1414?\n\"Answer: -3*o**3 + 2*o + 2050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, y: 1, x: 3, a: 3}. What is prob of picking 1 y and 2 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1936*i**5 - 1004*i**2 + 334*i**2 + 796*i**2 + 256*i**2 + 1846*i**2 wrt i.\nAnswer: -116160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/56, 0.1, 0.4, 3\/7, -0.637?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/72)\/(20\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -206*h**4\/3 - 507*h**3\/2 - 654*h**2. Differentiate k(c) with respect to c.\nAnswer: -1648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/3, -14, 41185?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*z - 7*z - 76*z = -15*z + 12864 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36105, -36213, -36307, -36387?\n\"Answer: 7*u**2 - 129*u - 35983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/3 and 101\/1070576.\nAnswer: 3211728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9948 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -2 - (5 + -2). Solve -o = -0*x + x - 3*f, 2 = 3*x - 4*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a2 (base 16) to base 15\nAnswer: 2ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210118957 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/89)\/((-57)\/2 - -25)?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 3335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/4 + 2*w**3\/3 - 2*w + 2. Let f be j(-2). Which is the biggest value? (a) f (b) 2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 - c + 2. Let p be t(4). Let l be (p - 8\/(-2)) + -2. Solve l = u - 3*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 9 = q - g, -g - 14 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 + 14 + (17 - (6 - 4))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 96 (b) -3 (c) 197.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40253514 divided by 20126757\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y - 3. Let c be h(5). Let r(p) = 3 - 10*p + 0 + 11*p. Let x be r(c). Solve x = o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2069*l**3*n**2 + 3577*l**3 - 1189573*l**2*n**2 - 11*n**2 wrt l?\nAnswer: 12414*n**2 + 21462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - -2*sqrt(95) - sqrt(95)) + sqrt(95))*5)\/(4*sqrt(15)\/sqrt(3)) + ((2 + sqrt(2736))*5*-3)**2.\nAnswer: 10805*sqrt(19) + 616500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*4*(-28784 - -28834)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-35) + (-6 - (-528)\/84)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 - 28*g**2 + 27*g - 3. Let m(p) = p**3 + p**2 - p + 1. Let l(t) = -3*m(t) - w(t). Let c be l(-26). Do -51 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10351483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -1.1 (c) 8\/7 (d) 130.59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*a**3 - 758*a**3 + 1579*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27191637 or -2?\nAnswer: 27191637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**3 - 8*p**2 - 10*p - 4. Let o(n) = 18*n**3 + 16*n**2 + 19*n + 7. Give -11*l(x) - 6*o(x).\nAnswer: 2*x**3 - 8*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8. Give g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -1\/6, 0.1, -912?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-224)\/7) + (-104)\/(-104). Let y be (9\/2)\/(3\/24). Calculate the greatest common divisor of y and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 31, 60, 91, 118, 135, 136?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 9. Let v be c(-6). Let q = v + 2. Is 2\/9 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:44 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/532)\/((80\/42)\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/5*(-70)\/525)\/((208\/(-30))\/(-13))\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 39 = -3*q, 2*q - 59 = -3*q - 2*i. Let v = 2321 - 2200. Calculate the greatest common factor of v and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-2808))\/(1*(-5)\/(-10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -1881057.\nAnswer: -1881058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 + 5*t - 6. Let v = -10 + 20. Calculate the remainder when x(5) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**3 + 7*w**2 - 5*w + 7. Suppose -77*b + 80*b - 60222 = 0. Let h(p) = 20085 - 3*p - b + 14*p**3 - 5*p + 11*p**2. Give 5*h(o) - 8*t(o).\nAnswer: -2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27843043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -529 - -544. Calculate the remainder when (-42 + -1)\/(-1 + 0) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-237)\/1185)\/(36\/10).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/((-2)\/6*1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from fraac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 79*d + 54*d - 239*d to c*d**2 + p + j*d and give j.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13799.77 - -13697. What is b rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let a be (40\/g)\/(-4) - -150. Calculate the greatest common divisor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38394*t**2 - 10*t + 10*t - 19722*t**2 - 18697*t**2.\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/30 - (-1698)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1373 + 70 = -2*n, -2*n - 3*j + 1309 = 0. What is the remainder when n is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 3 - 1\/1. Let l(j) = -5*j**2 - 2*j - 5. Let b(y) = 14*y**2 + 5*y + 15. Let a(t) = 4*b(t) + 11*l(t). Is a(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)\/(sqrt(4)*-1))\/((sqrt(9)*2 - sqrt(9))*-1 + 1*sqrt(576)) + -1.\nAnswer: -1 + sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2623249 from -3.\nAnswer: 2623246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/20*585\/(-1638)*16\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -37. Calculate the greatest common factor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -1\/8 (c) -5\/9 (d) -1 (e) -32\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*r + 5 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4231 and -120.3.\nAnswer: 508989.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 m when three letters picked without replacement from aakkakkmkmkkak.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21672 is divided by 65?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, t: 2, o: 4, s: 1}. What is prob of picking 1 t and 2 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {x: 1, f: 1, m: 1, p: 1, a: 2, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/8*-1*3\/15. Sort i, -4, -0.1 in increasing order.\nAnswer: -4, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -4, -1 in increasing order.\nAnswer: -12, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/((-888)\/(-10360)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:25 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102121233 (base 4) in base 16?\nAnswer: 19266f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768, -673, -578, -483, -388?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2855 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 39 + 20 = 1 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 352*n. Let h(u) be the third derivative of -u**4\/24 - 7*u**2 - 17*u. Give h(t(p)).\nAnswer: -352*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -1098901330?\nAnswer: 1098901331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 + -10. Let k = i - 94. Let z = -86 + k. Which is the biggest value? (a) 0.15 (b) z (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 1\/10 (c) 8 (d) -2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*r**4 + 37*r**3 + 240*r**2 - 16?\nAnswer: -816*r + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*x - 18*x - 17*x + 3*x in the form y + z*x and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 3*h**2 - 1 - 7*h**3 + 2 wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 5. Let x = w - 0. Let t = -3.999999 - x. What is t rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2656 and 1328?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 + 2*c + 79. Let b be l(0). Let s be 1*(-1)\/((-4)\/316). Let x = s - b. Solve x*w - w + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 35308 = -29*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -2. Let l = 7 - d. Let t(j) = -j**2 + j + 1. Let p(h) = -3*h**2 + 3*h + 2. Let n(s) = -2*p(s) + 5*t(s). Calculate n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -1, 46 in ascending order.\nAnswer: -3, -2, -1, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1) + 1)\/(1\/(-10)). Let r = -18 - o. Calculate the greatest common divisor of 34 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/12 - 11\/(-2). Let f = -8 - -20. Suppose -9*p = -m*p - f. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*s + 56*s - 95*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 18 = -3*d, 10*f = -3*d + 8*f - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 200 + -205. Calculate the common denominator of -51\/53 and -3 - (((-52)\/w)\/4 - 1).\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4897805 and 704?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(0*n + 2*n - n) - n + 4*n + 3*n + (-18 - 4 - 4)*(n - 3*n + 3*n) in the form x + m*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -193447, -193373, -193299, -193225, -193151?\n\"Answer: 74*c - 193521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -1, 0?\n\"Answer: w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 - 11*t**2 - 4*t - 7. Let a(o) = 11*o**3 - 32*o**2 - 13*o - 22. Let g(r) = 3*a(r) - 8*l(r). What are the prime factors of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.97554, 3\/20, -1\/4 in increasing order.\nAnswer: -0.97554, -1\/4, 3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 15*x + 12. What are the prime factors of d(6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158358428411 plus 3?\nAnswer: -158358428408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 3964*u + 47280 = 0. What is u?\nAnswer: -1970, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {a: 2, v: 4, u: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15750, -31498, -47246, -62994, -78742?\n\"Answer: -15748*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m**2. Suppose 5*w = -17 + 27. Let k(v) = 9*v**2 - 21*v**2 + 13*v**w. Calculate k(n(i)).\nAnswer: 121*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 - f**4\/24 + 2*f**2. Let q be t(1). Suppose q = -k - k + 24. Calculate the greatest common divisor of k and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let s = 1.786 - 2.18. Let p = s - -0.094. Which is the closest to m? (a) 5 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -9*f + 407. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*z - 538 + 106 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 + 5 = 3*n, -4*n = 2*a - 12. Suppose a = -y - 22 + 25. Solve -2*o + 5*c = 25, 5*o - y*c + c = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 157. Let k = g + -117. Put 1\/2, 31, k, -2\/13 in descending order.\nAnswer: 31, k, 1\/2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 39, 53, 63?\n\"Answer: -2*y**2 + 24*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 56000176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlurl. Give prob of sequence jlul.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5404)\/8685)\/(14\/(-20))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 - 10*j - 125. Let m be l(-8). Let w = -265 + m. Solve 9 = -3*z, 5*f - 4*z = 3*f + w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -226*3*(-265)\/(-10). Let h = -323281\/18 - y. What is the common denominator of h and (-4 + 388\/96)\/((-20)\/(-784))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214294 divided by -2058.\nAnswer: -107147\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.1, -5, -472?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101880 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 389*k**2 + 397*k**2 - 57*k**4 - 822*k**2 + 2*k**5 wrt k?\nAnswer: 120*k**2 - 1368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37881724 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = 3*b - 84600, -3*b = -4*k - 84565. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -14 - (-1 - 7 - -20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/47, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47476486 is divided by 2710.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*t**3 + 975*t**2 - 975*t**2)*(-t**2 + 3*t**2 + 5*t**2).\nAnswer: -609*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1.3, 0 in decreasing order.\nAnswer: 13, 0, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 4)*(-1 + 4 - 2)*(5 + 5 - 3)*(-5*l - 3 + 3).\nAnswer: 210*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -85.2. Let w = 13 + c. Let i be 6\/33 - (-36)\/165. What is the closest to w in -0.4, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461248 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-682)\/1287)*(-2)\/(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -125. Which is the closest to 10? (a) -0.2 (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000337878 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 + 4038*i**2\/5 + 406422*i - 6132726\/5.\nAnswer: 2*(i - 3)*(i + 1011)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 64. Suppose -140*j + 144*j = -t. Put 30, 0, j in ascending order.\nAnswer: j, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56849\/9170 + 1\/1834. Which is bigger: 5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -7*i**5\/12 + i**4\/6 + 2*i**3\/3 - 2867*i**2. Give v(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/4 - 174*i**4 + 18675*i**3\/4 + 4843*i**2 = 0. What is i?\nAnswer: -1, 0, 29, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r, 0 = -23*a + 21*a - 3*r + 17. What is the remainder when a is divided by (-9)\/(-4) + (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 - (50 + -37 - 157)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 13 + 13 + (2 - 2 - 2*y)*(5 - 2 + 5) to the form p*y + v and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11 + 430*m + 11*m**2 - 10*m**2 + 0*m**2 - 424*m. Calculate w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -677, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 106353.2 millilitres?\nAnswer: 106.3532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 79667*o**2\/2 + 79665*o.\nAnswer: o*(o + 2)*(o + 79665)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/13))**10 assuming z is positive.\nAnswer: z**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29923 and 13010.\nAnswer: 299230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -1351 and -1374165.\nAnswer: -1375516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1927000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose -2*l + 2042 = 270. Suppose -n + 888 = l. Solve -3 = 3*p + 5*o, -28 = -n*p - c*p + 4*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 6*i + 1. Let s be m(4). Let x be 1\/s + 3\/2. Solve 3*b + 3 = -w - x*w, 2*b - 19 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*k**3 + (k**2 + 2 - 2)*(-2*k + 7*k + 0*k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.471 - -4.471. Which is the second biggest value? (a) -3 (b) -32 (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 1595.\nAnswer: 1594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 23*x**2 + 3*x - 19. Let q be h(23). Let f = 16 + q. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164 + 48 + 52 + 29 - 143*q to l*q + z and give l.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 15*d + d**3 - 6*d**2 - 2*d**3 + 1.\nAnswer: -(d - 1)**2*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1100200112220101?\nAnswer: -1100200112220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 4*b + (-2*b + 1 - 1)*(-2 + 3 - 3))*(-49 - 39 + 4180*b + 88 + 25631*b).\nAnswer: 208677*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*v + 9, 4*y + 5*v - 12 = -9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000100101010000 (base 2) in base 10?\nAnswer: 264528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/9 - 22210*w\/9 = 0.\nAnswer: -11105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -9\/37 (b) -2 (c) 0.05 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -1 - (2 + -3). Let o = -3 - r. Let b(t) = -5*t + 5. Let j(c) = -11*c + 11. Let w(m) = -9*b(m) + 4*j(m). Give w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -2\/7, 58, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4456, -4454, -4452, -4450?\n\"Answer: 2*o - 4458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, -3, -0.2, 31?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3.5 (b) 1\/2 (c) -5\/122 (d) 9 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 60 = -20. Solve -s = 2*u + 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.6. Let x = 3.94 - -0.06. What is the nearest to -1\/4 in x, c, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 + 150*o**2 - 835*o - 990 = 0. What is o?\nAnswer: -1, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 416, 479, 532, 569, 584, 571, 524, 437?\n\"Answer: -s**3 + s**2 + 67*s + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 6*c + 5*c)*(5*c + 4*c - 3*c).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, m: 1, r: 2, g: 3, y: 1, i: 1}. Give prob of sequence iw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 5\/197?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Suppose 3*q - 135 = -24. Let f = q - 35. Let j(g) = g**2 + 2*g. Let k(h) = f*u(h) - j(h). Let n(v) = 14*v. Calculate k(n(z)).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*b - 21*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**3 - 6*s**2 + 31*s - 9. Let y be z(4). Let i = y - 517. Solve -4*v = i - 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 145*r - 140*r. Let a = 64 - 62. Solve 20 = -4*c + 5*k - k, c - a*k = -r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217165 (base 8) to base 6.\nAnswer: 20450433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -1294.\nAnswer: -2329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 105*g - 101*g. Let l be (-4 - g) + 294\/24. Factor 15\/2*h - 31\/4*h**2 - 2 + l*h**3.\nAnswer: (h - 2)*(h - 1)*(9*h - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 3*v + 16. Let r(c) = -v*c**2 + 0*c**2 - 1 - c**2 - c. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -bb?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/303, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/24 + 2*x**3\/3 - 38*x**2. Suppose 0 = -5*u + s + 11, u + 7*s = 2*s + 23. Give o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 + 2. Let z be (-4)\/(-6) - 10\/(-3). Suppose -l + 5 = -z. Let p be (-6)\/(10\/4 - 1). Let v(b) = 2*b**3 + 1. Calculate l*v(f) + p*g(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n - 7. Let r be l(5). Let k(d) = d - 1. Let i = -24 - -50. Calculate the remainder when i is divided by k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92938 divided by 1.\nAnswer: -92938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from iiiiiiiqqiiii?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18896 - -18896.5. Which is the fourth smallest value? (a) h (b) 0.3 (c) -3 (d) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 3. Suppose 2*a + 2 = -r*p, -2*p = -a - 1 - 0. Let q be 10*(-3 - a)\/(-4). Solve d - 2*d = -q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060.138 times 0.3?\nAnswer: 1518.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 3, m: 1, b: 2}. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - 16\/6. Let s be (-2)\/(-2 + x) + -1. What is the third smallest value in 1\/5, s, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)*f)**8)**(-26) assuming f is positive.\nAnswer: f**(-624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/(1\/(-1)*(228\/10 + -19))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.4. Let i = 1.6 - 3.6. Let n = 0.18 - 2.18. What is the nearest to n in 2, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-18)*(-99)\/(-44)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*z + 33 = 0, -21*v - 4*z - 1969 = -2030 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74254.09 tonnes to nanograms.\nAnswer: 74254090000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + d**5\/10 - d**4\/6 - d**3 + 2*d**2. Let j = 1 + 4. Let c be r(j). Is c equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7756 divided by -1.\nAnswer: 7756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - 63. Let k be 24\/o - (-4)\/22. Put -1, 20, k in descending order.\nAnswer: 20, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Suppose -y*d = -d. Which is bigger: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3778 + 3242 = 259*d + 5421 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3\/8*j**3 - 21\/8*j**2 + 3\/8*j + 3\/8*j**4 + 9\/4 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37740 divided by -3774\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369 - -374. What is the closest to -4 in c, 0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 - 0.04. Let y = x - -4.91. Let w = -527 - -524. Which is the closest to w? (a) y (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1097 - 11\/((-33)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -343 - -243. Let b = j + 99.72. What is the nearest to b in -0.1, -5, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/6*v**3 + 5*v - 1\/30*v**6 + 0*v**4 + 0*v**2 + 0*v**5 + 0. Find the second derivative of x(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1553\/(-5))\/(2454\/25). Let u = 1\/409 - l. Let i(v) = -2*v**3 + 102*v**2 - 295*v + 339. Let s be i(48). Is u > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3576375 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12. Suppose 0 = -5*f - g*f + 120. 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: 0.00239 - 3015\nAnswer: -3014.99761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/20 + (-90)\/(-8). Let r be 43\/(-9)*-3 + 12\/(-9). Let o = a + r. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 40*f**3 - 75\/2*f**2 - 335 - 55\/4*f**4 + 10*f. Factor y(k).\nAnswer: -5*(k - 1)**2*(11*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 327*w**8\/112 + w**4\/24 - 23*w**3\/3 + 568*w**2. Find the second derivative of d(h) wrt h.\nAnswer: 19620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 12 + 4 + -2 + 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111171 is divided by 11113?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (34 - (-29 + 14 + 28)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -44. Let u(n) = -n**3 + 3*n**2 + 5*n - 4. Let z be u(g). Is z at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836212575 a multiple of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1300) + 1 - sqrt(1300)) + -5)**2 + ((5 + (sqrt(1872) - ((1 + sqrt(1872) - sqrt(1872)) + sqrt(1872) - sqrt(1872))))*6)**2.\nAnswer: 3456*sqrt(13) + 67969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299655?\nAnswer: 3, 5, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 629 and 259?\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 0.38. Let p = -4.08 + 0.08. Let x = p + 6. Which is the third biggest value? (a) 0 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3870 and 180.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 4*l**2 - 4*l + 13*l + 0*l**2 to b*l**2 + u + t*l and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 + 28059422*g = 0. What is g?\nAnswer: 0, 42089133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.82 - 0.18. Let f = o + 41.81. Let p = f + 0.09. Is -3 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 26048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -r - 4*r. Suppose r = p - 0. Let j(m) = 6*m - 3. Let i be j(p). What is the greatest common factor of i and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -22*9*21\/(-2079). Let u(t) be the first derivative of 37*t - 18 + 41\/2*t**l. What is the derivative of u(s) wrt s?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2. Suppose u = 4*u + 30. Let b = -2 - u. Let w(c) = 3 - b + 5 + c. Give w(l(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55451 (base 8) to base 16.\nAnswer: -5b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 38593.\nAnswer: -26\/38593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*u + 23*u - 38*u)*(3*u**2 - 4*u**2 + 0*u**2) as j*u**2 + r*u + h + z*u**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.405 and 0.02?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x**2 - 49*x**2 - 62*x**2 + 42*x**2.\nAnswer: -121*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -196, -290, -384, -478, -572?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3696*z**2 - 748. Let x(r) = -r. What is p(x(s))?\nAnswer: 3696*s**2 - 748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179383 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x - 2. Let n = -2 - x. Suppose n*c - w - 13 = 0, 0*c - 16 = -3*c + 5*w. What is the greatest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:49 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:27 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 10*z + 88. Let q be z\/(-14) - ((-432)\/56 + 8). Which is bigger: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -3 (b) 0.4 (c) 0.78 (d) 366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4*1))\/(1005\/50 + -20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 5079\/846 - 3. Let m be 1\/(-2)*(-2443)\/141. Let p = u + m. What is the common denominator of p and -56\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45 (b) 5 (c) 2\/3 (d) 0.188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*u + 95, s + 6 = 4*u - 76. What is the remainder when 166 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 24*t + 159. Suppose 22 = 4*h + 58. What is the remainder when 44 is divided by d(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*w = -22085256 + 22095408 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*y - 3417 = -218*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14673166 + -4?\nAnswer: 14673162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75 + 17?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13223, 52850, 118877, 211298, 330107, 475298, 646865, 844802?\nAnswer: 1069103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -125*f - 12. Let w(n) = -43*n - 5. Let g(v) = 3*t(v) - 8*w(v). What is g(2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -74*r + 78. Solve 4*z - 2*f - 12 = 2*f, r*f - 20 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 != 770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/(50\/(-15))*(-20)\/(-150).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12352004.28 milliseconds in weeks?\nAnswer: 0.0204232875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*y - 3066*y = 20552 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 27629604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:46 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 124 = 310. What is the remainder when v is divided by (-4 + -2)\/(3\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-2)\/(-4))\/(-1)*102\/17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 433457 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 1)*(-a - a - a)*(-a - 2 + 2).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oono when four letters picked without replacement from nnonnoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 22*y. Suppose y = -31*u + 27*u + 4. Let f = 2 + -3. What is the third biggest value in f, u, 1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.2 in 1, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 4*q. Let k(j) = -17*j**2 + 16*j**2 - j**2. Calculate r(k(o)).\nAnswer: 4*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-25)\/(-10))\/(2\/(-4)). Let l = b - -12. Let m = 7 + 7. Calculate the greatest common divisor of m and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18c404 (base 14) to base 10\nAnswer: 878868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3))**(-4\/5) assuming h is positive.\nAnswer: h**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/15)\/((-4)\/(-18)). Let i(d) = 7*d - 3. Let h(j) = 3*j - 1. Let w(n) = 5*h(n) - 2*i(n). Give w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 12 - 12 + 25)*((2 - 17 + 31)*(o - o + o) - o - 3*o + 3*o + 3 - o - 3) to m + a*o**2 + c*o and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y, g + 122 = 4*g + 2*y. Calculate the greatest common factor of g and 1634.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448 (base 13) to base 2\nAnswer: 1011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402.48 + 0.12.\nAnswer: -402.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -46. Suppose u = -3*i + 12. Solve -6*x - 3*g = -3*x, i = -2*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -5, 17 in decreasing order.\nAnswer: 17, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -245254, -245255, -245256, -245257, -245258?\n\"Answer: -h - 245253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:00 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 59. What is the third derivative of b**2 - 7*b**5 - 5*b**2 - 16*b**q + 10*b**5 wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)**(1\/10))**(1\/28)*(n\/n**(-1))**(1\/13)\/(n\/((n**(1\/6)\/n)\/n)*n\/(n\/((n*n**3*n)\/n))) assuming n is positive.\nAnswer: n**(-72823\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 2 + 2 - 6. Let t be q(5). Let w = 4 - t. Solve w = -5*p + p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 302667\/14419 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.7. Let w = -83.09 + 83.49. Put -7, w, k in decreasing order.\nAnswer: w, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*s**3 - 3818987*s**2 - 57244407 with respect to s.\nAnswer: -42*s**2 - 7637974*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2321406103?\nAnswer: -2321406106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(49)*-2)\/sqrt(7).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -28 - (74 + (-3 - 34))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -47. Let p(w) = -w**3 + 11*w**2 + 3*w - 15. Is 2 a factor of p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 17. What are the prime factors of -8*x\/(-4)*-5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/170 + 2*w**4\/51 - 5*w**3\/51 + 2*w**2\/17 - 30*w + 1. Suppose y(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:15 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/5 - -364*53\/(-6890).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(143)*-3)\/sqrt(11) + 0.\nAnswer: -3*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7292*d**2 + 1. Let p(f) = 797*f. Calculate p(a(i)).\nAnswer: -5811724*i**2 + 797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 7. Let z(v) = v - 1. What is -x(c) + 5*z(c)?\nAnswer: 3*c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 202434 (base 5) to base 16\nAnswer: 19db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154*y**4 - 3*y + 121 wrt y.\nAnswer: 1848*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -1951.3.\nAnswer: 64392.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**7\/10080 - b**5\/480 + b**4\/6 + 2*b. Let a(t) be the third derivative of k(t). Let a(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:25 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 28 = -11*i. Let t = -95 - -107. Calculate the lowest common multiple of t and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*k**2 + 99*k + 72*k - 47*k**2 wrt k.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 + 5*x**2 - 12*x**3 + 8*x**3 - 22*x**4 + 36*x**3 - 13*x**3 as u*x**4 + g + c*x**3 + v*x + j*x**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*q, 15*c - 17*c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52614.19 centuries?\nAnswer: 63137028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 11) to base 6\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1539*q**2 - 513*q**2 - 571*q**2 - 516*q**2 + 3.\nAnswer: -61*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8923.27 from 44.114.\nAnswer: -8879.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 0*z**3 + 0*z**3 + (0*z**2 - z**2 + 0*z**2)*(-2*z**3 + 5*z**3 - 2*z**3) - 5*z**5 + 3*z**5 - 12*z**5.\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-20)*u*u**(3\/17) assuming u is positive.\nAnswer: u**(-303\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1760)\/4840*2*(-2)\/96?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*h**6 - h**2 + 271*h.\nAnswer: -15240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**8*l)\/l)\/((l\/(l*l**(2\/21)))\/l)*(((l**(1\/4)*l)\/l)\/l*l*l)**(-33))**48 assuming l is positive.\nAnswer: l**(-10468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 10*d - 18. Let c be x(-12). Suppose -4*q + 3*g + c = 0, -4 + 13 = q + 3*g. Let l be -19 - ((-1 - q) + 1). Sort -3, l, 0 in ascending order.\nAnswer: l, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837031 - 210.\nAnswer: 836821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*i - 45*i - 5*i - 4*i**2 + 13*i in the form o*i**2 + b + z*i and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4 + 12*j**3 + 6*j**2 - 20*j = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 14400.\nAnswer: 158400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 22*i**2 + 91*i - 337. Calculate w(25).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.48 and -0.02.\nAnswer: 0.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 5*k**2 + 6*k - 12. Give u(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275587 = -69*l - 45058. Which is smaller: l or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 5544.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 - 93*c**4 + 849*c**3 - 2019*c**2 + 1848*c - 588.\nAnswer: 3*(c - 14)**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12263.\nAnswer: 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8048136121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/(76\/(-2375)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200466 divided by 1806.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24*-3*(-3)\/(-9). What is the greatest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*g + 57. Put 5, -3, g, 3 in decreasing order.\nAnswer: 5, g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 1 - 1)*(-b**2 + b**2 - 2*b**2) + (-110*b + 30*b - 16*b)*(3*b**2 - 2*b**2 + 0*b**2).\nAnswer: -98*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 55 + 52 - 209 - 10*f + 50 + 54.\nAnswer: -10*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335321 - 204055 = -22794*h - 259976 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88)*2)\/(-1*sqrt(400)))\/(1*((3*sqrt(176) - sqrt(176))*-6 + sqrt(176)))*4.\nAnswer: sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321 - -717. Suppose 3*j = -5*u + 243 + 368, -4*j - 2*u = -824. Suppose y - 3*y + q = 4*h, y - j = h. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -27. Let h(j) = 3*j**3 + 4*j**2 + 4*j. Let b(f) = f**3 + f**2 + f. Let x(a) = a. Let r be x(-3). Calculate c*b(d) + r*h(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 less than -8?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3027 divided by -1\nAnswer: -3027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**7\/2100 + i**6\/900 + 2*i**3\/3 + 2. Let k(n) be the third derivative of y(n). Let k(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36280547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0 + 1. Let v be u\/(-2) + 15\/10. Solve -3*h - v*h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 2086780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 8)*(0 - -1). Suppose -l = -34 - j. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 479 + -479. Let g(v) = v - 3*v**2 - 5 - 3*v**2 + 4*v**2 + v**2. What is g(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 13 + 3*t**2 - 7\/3*t**3 + 1\/4*t**4 + t. Let c be p(6). Let f(y) = 2*y**2 - y + 1. Give f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-15)*((-2432)\/90 + 27)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 19 = 2. Let t = z - -15. Which is bigger: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 403213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 25, 36, 51, 70?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 + 6.48. Let w = d - -0.12. What is the second smallest value in -4\/3, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5\/3, -0.696, 4\/13, -5\/4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 9) + (-6)\/(-2). Calculate the greatest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4. Let j = -14 - -22. Let m = -5 + j. Which is the third smallest value? (a) m (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157 - 36*x - 157)*(-4*x + x + 4*x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12 = 4*b - 2*m, 5*b + 3*m - 8 = 0. Suppose -5*p = -b*s + 52, -s - 3*p + 23 + 7 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 3 + 116*n**3.\nAnswer: 116*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -6722, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*l - 31743492*c**2 - 224*l + 20009 wrt c?\nAnswer: -2*c*l - 63486984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1 - -2) + 14. Suppose 0*d + v = 5*d. Let c = -1497 - -1499. Solve -c*z = -d*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 32. Let c be (-6)\/v - 48\/(-9). Suppose a + 10*i - 5*i = 95, -210 = -2*a - c*i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -27*b. Let d(i) be the first derivative of -5\/2*i**2 + 0*i + 17. Give d(u(l)).\nAnswer: 135*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*z = -18, b - 74*z + 72*z = 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 68?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6 - 6*z + z**3 - 3*z**2 + 3*z - z**2. Let o be j(5). Let r(b) = b**3 - 4*b**2 + 3*b - 6. Is r(o) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(2 + (sqrt(833) + 1 + -3 - (sqrt(833) + 0)*-5)))**2.\nAnswer: 168*sqrt(17) + 29992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311 = 1798*a - 29255 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 6. Let l be r(0). Let s be (26\/4)\/(3\/l). Factor -2*m - s*m**3 - 17*m**3 + 26*m - 8 + 2*m**2.\nAnswer: -2*(m + 1)*(3*m - 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:18 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.621498 rounded to three decimal places?\nAnswer: -2.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/6 + 2090*k**2 - 10644631*k\/2 - 24133756027\/3 = 0. What is k?\nAnswer: -1046, 6793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uihh when four letters picked without replacement from {x: 6, h: 2, a: 6, u: 3, i: 3}?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 + j - 2. Let c be y(-2). Solve c = -2*v - 7*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 - -46?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/352 and 10\/33.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6350000*k**3 - 2*k**2 - k + 1. Let t be f(-1). Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, j: 1, y: 10, d: 4}. What is prob of sequence yr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4184, 4165, 4146, 4127?\n\"Answer: -19*m + 4203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.3 - 75. Let h(g) = -g**2 - 11*g - 10. Let n be h(-10). Suppose 0 = -l + 5 - n. Sort u, l, -1.\nAnswer: -1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d + 50. Suppose -3*m = -45 + d. What are the prime factors of m\/((-36)\/8) + 14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90555 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1\/5, -18\/13, 2\/7, 0.4, 30, 6\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1121662 divided by -3.\nAnswer: 1121662\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4146*v + 4148*v - 1876 = 0. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - 46. Let v = w - -67. Let y(o) = 3*o**3 - 5*o - 3. Let g(x) = x + 1. Let c(u) = -4*g(u) - y(u). Give c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 37\/4. What is the nearest to 0.1 in 0.3, x, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 9*u**2 - 16*u + 49. What is g(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 82*u - 456. Give v(76).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 962?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 13. Let o(h) = 7*h - 26. Let d(c) = -2*o(c) - 5*r(c). Calculate d(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8236418?\nAnswer: 2, 239, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -10. Let g = -7 + j. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 4*y + 2*y + (y + y - 4*y)*(-1 + 1 - 2) + 3*y - 6 + 6 + (4*y - 3*y - 5*y)*(0 - 2 + 1).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(77)\/sqrt(7)*3 + sqrt(88)\/(sqrt(32)\/sqrt(4)) - (sqrt(44)\/(-1*sqrt(24)\/sqrt(6)) + -5).\nAnswer: 5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 11:58 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c + 2. Let y = 5 + c. Suppose -6*i + 10 = -i. Solve 2*k + 10 = 4*z, i*k + 2*z + 16 = y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 5*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98662 and -1?\nAnswer: -98662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 5 + 4)*(15 + 1). Let s be (-274)\/(-8) + o\/(-64). Which is bigger: s or -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 163 = 25*u. What are the prime factors of u?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 2*x**3\/3 - 16*x**2 + 4*x. Let j be u(13). Let v = j + -17. Calculate the remainder when 4 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*l - 21786, -3*h + 12*l + 32685 = 9*l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2221 + -42?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 5) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352 - 180. Find the third derivative of -3*c**2 - 172*c**3 - 12*c + w*c**3 + 73*c**5 wrt c.\nAnswer: 4380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:53 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1188 and (-469)\/2970 - (-1518)\/20493?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 0.2, -0.064, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuguuuhggggghu. What is prob of sequence ug?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = a - 65, 6*a - 4*f = 11*a - 344. Is 68 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4140*o + 32 = -4060*o + 1472 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2188.96142 from -41435.\nAnswer: -39246.03858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1095 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*r - 455, -30*q = -26*q + 5*r - 361. Which is greater: 87 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 28. Suppose -l + x + 5 = 0. Calculate the remainder when 42 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.2. Let g = 2 + -1. Let k = -1.1 + g. Is k greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239 + -248. Let s(m) be the first derivative of -13*m**2\/2 + 9*m + 1. What is the hundreds digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133751?\nAnswer: 131, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000110010010011?\nAnswer: -1000110010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a day in hours?\nAnswer: 544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1.57, 0.21368 in increasing order.\nAnswer: -3, -1.57, 0.21368, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -19*k**5\/20 + 23*k**3\/6 - 19*k. What is the second derivative of t(x) wrt x?\nAnswer: -114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*q + 13. Suppose -2*g = 4*r - 1312, -q*r + 982 = -r + g. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 5:56 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by -285?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.095, 41, -0.4, 7, -50?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 1080 = 12*s + 9*s + 15*s for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-2))\/((-2)\/(-2)). Suppose -29 - 7 = 4*v. Let s = p - v. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11.18. Let h = -0.82 + l. Let w = 0.1 - h. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5544001 is divided by 2207.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 24*h**2 - 8*h - 14. Let d = -66 + 77. Let i be n(d). Suppose -4*l = -i + 20. Which is smaller: 28 or l?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -11555\nAnswer: -33\/11555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 12*v**2 - 4*v + 16. Let h be f(-11). Which is smaller: h or 10\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*h = 369*h - 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.5? (a) -46\/15 (b) 13297 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:05 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 27*k + 2. Let a be n(2). Let r be (-24)\/a - (-24)\/7. Solve -5*b - r + 23 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4686 - -4887. Which is bigger: q or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76881373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14050049, -56200149, -126450315, -224800547, -351250845, -505801209, -688451639?\n\"Answer: -14050033*t**2 - t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2\/9*n**3 - 16\/9*n**2 - 20\/9 + 34\/9*n = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 329 + -328.9. What is the nearest to -2 in -4, y, 3\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 11 = 4*s - c, 4*s + 4*c - 4 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 6, x: 4, z: 3, n: 5, g: 1}. What is prob of picking 1 h, 1 t, and 2 z?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31664458 to the nearest integer?\nAnswer: 5627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3950 + 3952. Solve 0 = -q + g*d - 9, -8*q - 2*d = -5*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -101*q - 167. Calculate the remainder when p(-6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158229*a**6 - 7*a**4 - 207*a**2 - 1541*a - 1.\nAnswer: -18987480*a**3 - 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553396703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845908.\nAnswer: 2, 29, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(4*a + a - 4*a) + 0*a + 4*a - 6*a - 8 + 8 - 3*a + (-2*a + 2*a + 2*a)*(-7 + 3 + 3) + (3*a - 2*a - 3*a)*(-1 + 5 - 2) + 0*a - a + 3*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.18654 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 78 = -3*m, -7*m = -2*l - 2*m - 35. Suppose 23 + 35 = -2*g. Let i = l - g. Calculate the remainder when 26 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:47 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 51836 divided by -12959\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l - l, -10 = 3*d - 2*l. Let n = 22\/5 + d. Factor 6\/5*r**3 + 0 - n*r**2 + 0*r.\nAnswer: 2*r**2*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + 2 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 3*x + 8 + 0 + 0 + 2*x + 11*x - 3*x - 4*x + 0*x - 2*x + 0*x + (2*x + 1 - 1)*(-2 - 1 + 5) + 2*x + x - 5*x in the form n + s*x and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (228\/9)\/((-5)\/30). Differentiate -d**4 + 2*d**4 - 666*d**3 - 11*d + 666*d**3 - g wrt d.\nAnswer: 4*d**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = l + 10, -l = j - 2*j + 1. Let p(g) = -2 - 3 - 3*g + 0*g + g**l + 7*g. Calculate p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and 17\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 + 4*t - 3. Let d be s(-5). Factor 12 - y**2 - 8 - y**2 - y**3 - y**d.\nAnswer: -(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 151 = -z. Calculate the greatest common factor of 38 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5973288*2.9\nAnswer: -4.63225352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 452, 1738, 4300, 8564?\nAnswer: 14956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 288, -0.1, 3 in descending order.\nAnswer: 288, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265 + -263. Let r(f) = -f - 16. Let g be r(-2). Sort 0, g, c, 1 in increasing order.\nAnswer: g, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 less than 5?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3257 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3 + 20. Let m = 82 - 25. What is the remainder when q is divided by m\/9 - (-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 13*p**2 - 12*p + 6. Let x be y(12). Solve 0 = 2*r + x, -a + r = -5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*v + 2 - 1)*(14*v + 2*v - 3*v).\nAnswer: 52*v**2 + 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:20 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-14)*(-32)\/128\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*k + 4*k - 5, 0 = -2*k + 4*c - 4. Let b(j) = -3 - 2 + 0*j + k*j + 10*j. Does 12 divide b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7950 and 7050?\nAnswer: 373650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 2*v**2 - v + 3*v + v + 0*v - v.\nAnswer: -2*v**2 + 2*v + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + h - 5*h - 183 = 0, -h = f - 33. Let b be 4395\/f - 6\/(-14). Calculate the highest common factor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -20. Let s be (b - -2)*12\/14. Suppose -q = s*q - 357. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 9\/(-5 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14620 and 142460?\nAnswer: 6125780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2991465.\nAnswer: 3, 5, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.487 - -0.1?\nAnswer: 0.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 25*d**5 + 213*d**2 - 2593*d**2 - 600*d - 1165*d**3 - 91*d**4 - 508*d**4 - 1305*d**3 - 66*d**4 = 0.\nAnswer: -2, -1, -2\/5, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Suppose -j + a*y + 1 = 0, j + 3 - 8 = -y. Let n be j\/(104\/30) - 1. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2471 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u - 25. Solve u*m - 2 + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-5 - (0 + -5) - 7 - -16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -658 - -653. What is the closest to -2\/9 in 0.2, -6, -1, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20665*a**3 + 2*a + 20644*a**3 - 3*a**2 - 41276*a**3 + 3*a**2 + 0*a.\nAnswer: 33*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -5. Let a = s + -1. Let g = 493 - 498. What is the second smallest value in g, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = 2*q + 2, -3*f - 6 = 0. Suppose -q*i + 1 = 5*t - 184, t - i = 37. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -3. Let h be -1*(b + 3)*12. Let r be (-70)\/h + 2\/12. Solve -4 = -2*q - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -22.3. What is the closest to -2\/5 in -2, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 30039\/(-741) - (-81)\/(-3)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/15 + (-4)\/20. Let f be 1 - o - (-2)\/2. Find z, given that -2*z**3 - 2*z**3 + 47*z**f - 48*z**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 237*w**2 + 1947*w + 3121. Calculate p(245).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p**(3\/7))\/((p\/(p*p\/(p**(1\/2)\/p)*p*p))\/(p**6*p)))**(-1\/10) assuming p is positive.\nAnswer: p**(-451\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9649847*f**3 + 2282753*f**2.\nAnswer: 57899082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -8. Let z be (-36)\/24*12\/9. Put m, -0.1, z, -0.5 in decreasing order.\nAnswer: -0.1, -0.5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4351537?\nAnswer: 29, 150053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 12343213?\nAnswer: 12343215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -21, 0, 29, 66, 111?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446387526 is divided by 148795835.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 + 65794*x + 26444699\/6.\nAnswer: (x + 67)*(x + 394697)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 5*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.91005+19006\nAnswer: 19005.08995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9*2*(-45)\/(-18) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -33. Let i(j) = -2*j + 10. Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 38*v - 3. Let g be u(-1). Let r = -44 - g. Let j(l) = 2*l + 2. Let b(p) = -3*p - 3. Let x(f) = 3*b(f) + 5*j(f). What is x(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 32 = 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.4 + 14.4. Let c be (4\/(-12))\/((-3)\/99). Let m = -9 + c. What is the nearest to 2 in m, v, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 1 - 1) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 times -0.8917?\nAnswer: 212.2246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -83*u**3 - 2*u**2 - 2. Let i(g) = 1827*g**3 + 45*g**2 + 45. Give -2*i(r) - 45*n(r).\nAnswer: 81*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 14*m = -10. List the prime factors of (-285)\/m*(-4)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 - 6*s**2 - 5*s + 7. Let n be y(-3). Let t = -194 - n. Solve t = 5*v - 3*f - 0*f - 5, -2*v + 3 = -f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-18))\/(58\/20). Let l = -3\/29 + j. Let i = 71\/2 - 635\/18. What is the nearest to -1\/3 in i, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -12.9, 10 in decreasing order.\nAnswer: 10, 3, -1, -12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.1715\nAnswer: 0.0686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47902*v - 18178?\nAnswer: 47902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -976368?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/3 + -10. Let q = 1.65 - 1.55. Suppose 2*u - 3*w = 11, -5*u + 2*w + 11 = -0*u. Which is the nearest to q? (a) u (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + h)*(-28*h + 726 - 726)*((-2 - 1 + 0)*(-3 + 6 - 1) - 1 - 38 - 31).\nAnswer: -2128*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(34)*-3*-5)\/sqrt(2) + (-3*(sqrt(17) - sqrt(68)\/sqrt(4)) - (5 + (sqrt(85)\/sqrt(5) - sqrt(17)))))**2.\nAnswer: -150*sqrt(17) + 3848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/63 and -58\/5212629?\nAnswer: 36488403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -175\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**8\/131040 - i**7\/10920 - i**5\/10 + 2*i**2. Let z(c) be the third derivative of r(c). Factor z(l).\nAnswer: -2*l*(l + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -138. Let o(z) = 11 - 5*z - z - z**2 - 2*z. What is the units digit of o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 404\/252) + (-2)\/7. Is -1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 2.3341531213?\nAnswer: -1.6658468787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y. Let p be s(-1). Suppose -5*x = 3*r - 160, -5*r + r + 20 = p. Suppose 23 = 4*c - x. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -22 - (4 + (-1 - 15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(605) - sqrt(605)*-2)) + (sqrt(550)\/sqrt(99))\/(sqrt(90)*1 + sqrt(90)).\nAnswer: -6 + 3565*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 - 23*t + 141. Give m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 4:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(34)\/sqrt(2))**2 + sqrt(17)*-2*-6 + sqrt(102)\/(6*sqrt(96)) - (3 + (5 + -2*sqrt(425)*-1)**2).\nAnswer: -1660 - 2111*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/17? (a) 0.15 (b) -68 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -35, -56, -77?\n\"Answer: -21*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 6*c + 5. Let a be d(5). Suppose -3*n + 20 = p, -2*n = n - p - a. What is the third derivative of -4 + 16*y**3 + 1 + 3 - n*y**2 wrt y?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5026 + -5006. What is the smallest common multiple of b and 1710?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*x - 9. Let m be ((-4)\/x)\/(3\/30). Let g = 1876 + -1874. Sort -2\/3, g, m, 0.2 in decreasing order.\nAnswer: g, 0.2, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 6*o. Let z be y(5). Suppose -z = 3*h - 44. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/5*(-3800)\/(-228). Let a = -73 - -163. Do o and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1059, 1138, 1227, 1332, 1459?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 4*i**3\/3 + 2*i**2 + 3*i - 25197. Let w(q) = 7 + 0*q + 3*q + 6*q + 9*q**2. What is -5*c(o) + 2*w(o)?\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3394850 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjazmzyjo. Give prob of picking 1 y and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/467979694 and -93\/41944?\nAnswer: 1871918776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206326164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*o**3 - 3 + 5 - 74*o**3.\nAnswer: -188*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/46636139 and -57\/29677543.\nAnswer: 326452973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4, -n - 4*x = 2*n + 17. Let v = 5 - n. What is the remainder when (47\/4)\/(6\/24) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 38*j + 1666. Determine x(-36).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8677048 + -8677111.99999938. Let l = -14 + 78. Let v = l + p. What is v rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15744 = -4*k + f, f - 3941 = 2*k - 3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -905.5863 to the nearest 10.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b - 2*t + 253 = 0, 0 = -4*b - 2*t - 982. Let v = 257 + b. Solve 5*u = -3*x - 11, -x + 4*x = -4*u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3191, -25822, -87241, -206840, -404011, -698146, -1108637, -1654876?\n\"Answer: -3232*y**3 - 2*y**2 - y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 114*q**2 + 122*q + 1071. What is t(-113)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2152 = 29*u - 21*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8720 - 5252. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/7)\/(-8))\/(1\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 849, 3401, 7655, 13611, 21269?\n\"Answer: 851*q**2 - q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 12 = b, 4*b + 18 = 2*f + 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4\/21 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3363 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189) - 2*sqrt(189))\/sqrt(7) + 2*sqrt(108))*-4)\/(1*sqrt(99)\/(sqrt(44)\/sqrt(16))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-63)\/((-2)\/(-8) + 203\/(-116)) and (-1 - 4) + (-10 - -42)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-338)\/(-390) - (-2)\/15. Suppose 2*a - 5*d + 25 = 0, d = -a + 6*d - 20. Let c be 51\/357*(0 + -1)*1. What is the fourth biggest value in -3, x, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39758140?\nAnswer: 2, 5, 317, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2 + 253928*m - 1777692 = 0.\nAnswer: -63489, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 260*i**2 - 2 - 3*i**3 - 255*i**2 + 7. Let l(c) = -2*c**3 + 3*c**2 + 3. Let h(d) = d**2 + 5*d + 3. Let q be h(-5). Calculate q*v(s) - 5*l(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 147?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5629, -11252, -16869, -22480?\n\"Answer: 3*s**2 - 5632*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7318752 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(319\/(-348))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140927 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 9*i + 20. Is 7 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(7\/9)*w*w*w))\/(w*w\/(w*w*w*w**(4\/13)))*(w*w**11\/w)**(-1\/39) assuming w is positive.\nAnswer: w**(-439\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 199*r - 201*r - 5*i + 22034, -i + 55131 = 5*r. List the prime factors of r.\nAnswer: 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {g: 6, k: 3, x: 1, i: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -22. Solve -t*u**2 + 3*u**3 + 19*u**4 - u**2 - 16*u**4 = 0 for u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 9*j + 10. Let x be b(-8). What is the second derivative of -3*t - 6*t - t - 6*t**x wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 - 116\/(-14). Let j be 0\/((-1)\/(-1) + -2). Suppose j = -5*g - 1 + 6. What is the highest common factor of d and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-84)\/48*2\/(-7). What is the closest to 2\/3 in -0.2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 499.2 and 52.2.\nAnswer: 26058.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-80)\/640)\/((-1)\/(-2) - 1). Let f be 2\/(-3) - 2\/15. Which is the nearest to 2? (a) f (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 337 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*d + 12 = 0, -f = -6*f + 2*d - 5. Put 4, 0, f in ascending order.\nAnswer: 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 1, 5, -38\/1071 in decreasing order.\nAnswer: 187, 5, 1, -38\/1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*l - 16. Let k(p) = -3*p**2 + p**2 + 14 - 2*p**2 + 3*p**2 + 16*p. Let u be k(l). Is -4 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-535)\/(-321))\/((-11)\/((-3267)\/(-15))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-4\/5)))**19 assuming x is positive.\nAnswer: x**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-390)*-49*(-930)\/27342?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14 + 12*r - 4 + 6 - 2*r. Let a(x) = x - 1. Calculate -12*a(z) + p(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4161*t**2 + 13*t - 181365 wrt t.\nAnswer: -8322*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 = -4*o + 3*a, 0 = 3*o + 5*a + 10. Suppose 0 = o*w - 234 - 281. What are the prime factors of w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13104 times -0.2\nAnswer: -0.026208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80749, 322880, 726423, 1291372, 2017721, 2905464?\n\"Answer: -p**3 + 80712*p**2 + 2*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (8957\/(-91) - (-6)\/14). Let y = q + -51. Let m(x) = -y*x + 16*x - 28*x. Let s(l) = 2*l**2. What is m(s(v))?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302909 = -54*i + 100*i - 624313. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*o - 3*q, 0 = 20*o - 17*o + 2*q - 22. Calculate the remainder when 2071 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -246505a0 + -9?\nAnswer: -246505a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/14 - (-1 + 2). Let w be ((-4)\/7)\/((-6)\/7). What is the nearest to w in m, -4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-9)\/3)\/(78\/13).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 54. Give w(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l - 8. Give h(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235127 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 11*z = 17252. List the prime factors of z.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1 - 176*v + 20*v**2 + 175*v - 21*v**2 + 16*v**3. Suppose c + 15 = 6*c. Let s be (2 - c)*(0 + -1). Give h(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*a**3 + 39659*a + 920114?\nAnswer: -33*a**2 + 39659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 6*t - 5. Let r be w(-4). Calculate the highest common factor of r and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 5)*(22*c - 14*c - 11*c - 4) - 4*c - 2*c + 5*c + (1 + 2 - 5)*(1 + 2*c - 1).\nAnswer: 7*c + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) + (-122)\/(-42) + -321 + 317.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 88*h - 2757. Determine y(31).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6830 - 3193. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8902 to the nearest one hundred.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -300, -5169, -19158, -46827, -92736, -161445, -257514?\n\"Answer: -760*g**3 + 451*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146 + (0\/(-6) - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -528 - -525. Let b = 10 - 6. Sort 1\/5, z, b.\nAnswer: z, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1219\/44 or 27?\nAnswer: 1219\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.36 - 3. Let a = -0.360051 + w. Round a to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404315124.\nAnswer: 2, 3, 33692927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16525)\/(-22680) - (2\/(-6))\/((-68)\/153) and -13\/270.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/25)\/1)\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/((-54)\/(-4)))\/((-5138)\/1281 + 4). Solve -56*i = -o*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42186)\/(-445))\/158*5*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 95 - 77 = 0. Sort 3, -5, 23, k.\nAnswer: -5, k, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.3, -5.2.\nAnswer: -5.2, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41635534 + -1?\nAnswer: -41635535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*q**4 + q**2 + 4202*q + 6358392 wrt q.\nAnswer: -292*q**3 + 2*q + 4202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31434 or -35497?\nAnswer: -35497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = 335. Suppose 35 + y = c. Suppose z - 2*v + 244 = 3*z, z = -5*v + c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 459*f**2. Let p(m) = -10*m - 77. Let n(g) = -3*g - 22. Let c(j) = 7*n(j) - 2*p(j). Calculate c(b(u)).\nAnswer: -459*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) -4\/5 (d) -1\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 2*j**3 - 142*j**2 - 169*j**2 - 164*j**2 + 475*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20464+-158.1655\nAnswer: -20622.1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35320289657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 4. Let x = h + -10. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*6*4\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/14, 0.33, -0.2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*q + 10*q - 9*q)*(-3*q + 0*q + q).\nAnswer: 62*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1\/4*m**2 + 0*m + 1\/4*m**4 + 1\/2*m**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -1, -26, -2 in decreasing order.\nAnswer: -1, -2, -4, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 1359, 3039, 5393, 8427, 12147, 16559, 21669?\nAnswer: 27483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -5*y, 3*y - 5*s - 3 = 29. Suppose 0 = n - w - y, -w + 16 = -3*n - 5*w. Solve -4*g + 7*g + 3*u - 18 = n, 2*g + 3*u - 16 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 108 = u. Let x be (-5)\/((12\/u)\/(2\/(-3))). Suppose 5*j + 15 = 0, -3*d - 4*j = j - x. Calculate the remainder when 67 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 742, 936, 1130, 1324, 1518, 1712?\nAnswer: 1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-2 + 16)*(-10 + 11).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-456)\/(-80) + -7 - (-2)\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201796.\nAnswer: 2, 7, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5008 - 1624. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let q be g(-3). Solve 3*a = a - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4*j**2 + j**2. Let r(w) be the third derivative of -3*w**5\/20 - 75*w**2. Calculate 5*r(a) - 24*x(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w**2 - 1591*w + 1591*w to j + c*w**2 + n*w and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3586682631.\nAnswer: 3, 7, 2531, 67481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12939 or 30550?\nAnswer: 30550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (4 + -19)\/(-5). Suppose 5*z = 5 - b. Let q be z + (5 - (4 - 1)). Solve 5 = q*p + d, 2*d = 3*p - 6*p + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, 8940, -12, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 18343 + 5705. Let b = z - 1015. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100547600 is divided by 341?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000109997 rounded to six dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 583561\/28 or 20841?\nAnswer: 20841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -31. Let q(f) = 190*f + 209. Give -q(m) - 7*z(m).\nAnswer: -190*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -484 - -551. Let s = 46 + -29. What is the remainder when r is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 - 4*p + 9*p - 4 to the form z*p + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -77 + 1\/3*s**3 + s**2 - 246*s. Find the first derivative of r(m) wrt m.\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + 1 - 1 + (115 - 115 - 83*i)*(-3*i - i + 5*i) + i**2 - 4*i**2 + 2*i**2 - i**2 - 3*i**2 + 3*i**2 to the form z + w*i**2 + v*i and give w.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-12)\/300*-20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + m**5 - m**3)*(0 + 1 - 2) - 1 + 1 + 2*m**5 - 526*m**3 + 308*m**4 - 308*m**4 + 526*m**3 + 1435*m**5.\nAnswer: 1436*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + -4 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d - 2*d)*(-1 + 3*d + 5 - d).\nAnswer: -8*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.372 - 3.228. Let g = a + 3.798. What is g rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42644?\nAnswer: 2, 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 13 - (4 - (2 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4266 + 4276. Sort q, -1\/8, 5, 2.9.\nAnswer: -1\/8, 2.9, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 + 4*h. Suppose -p + 5*v = 18, -13 = -4*p - 2*v + 3. Let j be y(p). Solve 0 = 3*s + 6*l - 2*l - j, 4*s - 2*l = 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2884324 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.1. Let g = -121\/516 + -2\/129. Which is the closest to 0? (a) g (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.20667094 - 36.20625894. Let y = d + 36. Round y to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 90 = 268. Let v(n) = 197*n + 3481. Let l be v(-18). Let o = l - j. Solve -4*b + o = 4*a, 4*a + 5*b - 21 = 4*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**2 + 2*m - 8. Let d(j) = 5*j**2 + j - 4. Let k(n) = -5*d(n) + 3*g(n). Let a = 0 + -3. Is k(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.107*-0.6.\nAnswer: -1.8642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:54 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -2 + 0)\/1. Suppose l + l + 4*i - 8 = 0, 5*i + 8 = f*l. Suppose l*k = -4*g + 44, -k = -4*g + 6 - 2. What is the remainder when 19 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5 and 45\/367?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-762)\/4)\/((-39)\/130) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199767100 and 6448?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133609 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - n + 2. Let s be g(2). Let j = 25 - s. Solve 5*k + 3 - 5 = -3*i, -5*k - j*i = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*d - 2*d + 3, -2*a - 6 = 2*d. Let g(j) = 2*j**3 + 3*j**2 - 3. Let p(c) = -2*c**3 - 2*c**2 + 2. Calculate a*p(o) - 2*g(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 - 18*z - 15. Let m(f) = -f**2 - f - 1. Let s(u) = -18*m(u) + 2*w(u). Let a be s(15). Suppose -4*o = -7*o + a. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g - 8. Let w(v) = 40*v + 15. Let i(b) = b. Let j(z) = 15*i(z) - w(z). Let f(u) = -4*j(u) + 9*t(u). Differentiate f(o) with respect to o.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -87, -64?\n\"Answer: 23*w - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465 smaller than 4463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, h: 3}. What is prob of picking 1 h and 3 w?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1\/6)*q)\/q)\/(q**(2\/3)\/q))**(-6\/13)\/(((q*q**(3\/5)*q)\/(q\/((((q\/(q*q**3*q)*q)\/q)\/q)\/q)))\/(q\/q**(-2\/3))**(-18)) assuming q is positive.\nAnswer: q**(-1709\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h - 2*p, 5 = 4*h - p - 0. Suppose -2*s + 11 = -5*w, -2*s + 22 = 5*w - 39. What is the greatest common factor of s and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55862 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: Calculate the smallest common multiple of 51 and 4653.\nAnswer: 79101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 5, i: 2}. Give prob of picking 1 a, 1 v, and 1 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Let d = 1 + x. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*t - 1 = -291*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7854, 8865, 10550, 12909, 15942, 19649?\nAnswer: 24030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -4*sqrt(84))*3 - sqrt(84))\/(sqrt(12)*2*6).\nAnswer: 7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 2726.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 943668362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2. Let d(r) = -3*r + 3*r + 2*r. Let u(p) = 35*p + 0 - 34*p + 0. Let m(w) = -d(w) + 3*u(w). Give n(m(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1560, 1 in ascending order.\nAnswer: -1560, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 3*d**3 - 5*d**3 + d**3 + 2*d**2 - 2. Let v(m) = -5*m - 37. Let r be v(-8). Calculate l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 10*v + 3*y + 3439 = 0, v = -y + 1722. List the prime factors of v.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 890259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20256 - -36356. Suppose -t = -32*h + 7*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -85737?\nAnswer: 1\/85737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593696 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l + 95. Let n be p(5). What is the common denominator of (27\/n)\/(16\/15) and 2\/12*-3 + -45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8433000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 5\/8*l**4 + 0 - 14*l**2 + 0*l + 1\/10*l**5 + 0*l**3. Let m(o) = -o**2 - 2*o. Calculate 15*m(q) + 2*n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-13)*f)\/f*f*f)\/((f\/f**9*f)\/f) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31704 (base 8) in base 5?\nAnswer: -411002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-48)\/(-18))\/((-4)\/6) + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*a = 115*a + 3*c - 2877, -5*a - 2*c + 7209 = 0. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u + 32. Calculate a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -9, 0, 2 in increasing order.\nAnswer: -9, -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 5 in ascending order.\nAnswer: 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/3 - j**3\/3 - 4*j**2\/3 + j = 0.\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r + 9*r + 12*r + 39*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 2*f + 36. Let k(b) = b**2 + b - 18. Let i = 25505 + -25508. What is i*t(a) - 7*k(a)?\nAnswer: -a**2 - a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuxnuupunuuhnxunuu. What is prob of picking 1 h and 1 n?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:37 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (4*sqrt(175))**2) + sqrt(7) + sqrt(112) + -2.\nAnswer: -2802 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -71, 5 in decreasing order.\nAnswer: 5, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3093.4 or -1?\nAnswer: 3093.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/60 + 7*q**4\/24 + 4*q**3\/3 + 9*q**2 - 5*q. Factor j(b).\nAnswer: -(b - 8)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6)*(5 - 9 - -7). Find the third derivative of 25*l**4 - 2*l**2 - 17*l**g + 31*l**4 wrt l.\nAnswer: 936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 2256 + 429. Suppose -y + 302 = x, x = -5*y + f + 143. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 31*n + 169. Give x(36).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15)*41\/(-41)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 16*k - 2*k)*(2 - k - 2)*(4*k - 5*k + 0*k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 7. Let b be (6*u)\/(-6 + (-27)\/(-6)). Suppose m - 75 = -5*l, -b*m + l + 54 = -309. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*o - 12*o. Suppose -5*b - y + 15 = 4, -b - 3*y = -5. Suppose -d = o*d + 5*f - 139, -4*d + 162 = b*f. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/370)\/4)\/(((-30)\/(-75))\/1)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4106\/20605 - 3\/4121. Which is the biggest value? (a) 0 (b) 17 (c) -34 (d) -0.1 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 23*v - 99. Let r(t) = -1 - 5 + 15*t + 0. Let m(n) = -8*n + 3. What is v*m(s) + 6*r(s)?\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 46168.259 to the nearest ten.\nAnswer: 46170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 116, 119, 122, 125?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13143324910884 and -5.\nAnswer: 13143324910879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15 and -49\/894.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2 + 6*o - 2. Let l(j) = -16*j**2 - 5*j + 2. What is 6*l(d) + 5*s(d)?\nAnswer: -26*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 20\/6 - 176\/(-33). Put -18, -5, m in decreasing order.\nAnswer: m, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13807747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -41. Let j = -23 - -50. Let t = j - 27. Which is the nearest to t? (a) v (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 7. Let x(m) = 5*m**2. Calculate x(y(n)).\nAnswer: 5*n**2 - 70*n + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z + 1. Let t(b) = 4*b**3 - b**2 + 7*b - 3. Determine t(k) + 5*w(k).\nAnswer: -k**3 - k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d**(-21)*d)\/d)\/d)**(-3\/2)*(d\/d**(2\/47))**(-4\/19))**(6\/25) assuming d is positive.\nAnswer: d**(31932\/4465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*y**3 + 175*y**3 - 1030*y**3 - 494 - 165 with respect to y.\nAnswer: -2598*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25299 is divided by 1945.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10839797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*4*sqrt(91)*1)\/(sqrt(56)\/(sqrt(32)\/sqrt(4)) - sqrt(343)*-1).\nAnswer: -5*sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113087 + -113081. Let t(w) be the first derivative of w**3\/3 - 11*w**2\/2 + 6*w - 1. Determine t(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 120 = -3*p. Suppose -2*w + 14 - 2 = 0. What is the remainder when (-88)\/(-9) + p\/(-135) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*t + 41*t + 3*t as c + i*t and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 79*o - 35. Let r be g(40). Suppose 0 = -15*x - r*x + 300. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213\/20 or 11?\nAnswer: 213\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 15*y**2 + 501*y + 6181. Give j(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 2*k**2 + k**2. Let y(f) be the first derivative of 2*f**2 + 12. Determine y(q(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70240000 rounded to the nearest 1000000?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6328 = 97*a - 1136*a - 9257 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(187)*1*3)\/(sqrt(33)\/(sqrt(9)\/sqrt(3))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(190))\/(4*sqrt(10)*4).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Suppose -2*v + 0*j - 12 = -4*j, 0 = -4*v + 3*j - 14. Do h and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -14. Let w = -3 - -5. Let s = w + v. What is the second smallest value in 1\/3, 4, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628382 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: Solve 99*y + 16 - 498 = -86 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -2. Let s = 21 + j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Is 22 a factor of -88*(3\/(-3))\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-4) - (1 + 0). Suppose 2*t - t - 13 = -4*b, m*b + 4*t - 26 = 0. Solve 5*f - 5*j - 5 = 0, 0 = -b*f - j - 2*j + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + -5 + 0))**2*-5.\nAnswer: -7440 + 1600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31955 divided by 3.\nAnswer: -31955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58218 and 1581?\nAnswer: 989706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2\/5, 5\/3, -3, -7080.31?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42.4 + 41.43. What is m rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:24 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1485 and 34401015.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -91*m - 599. Let n be j(-5). Which is bigger: -146 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1903759 by 107.\nAnswer: -1903759\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 4, v: 4, e: 6, t: 4}. Give prob of sequence twv.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 1. Let b(c) = 2*c + 1. Let l(f) = 3*f + 2. Let w(n) = -2*b(n) + l(n). Determine w(t(y)).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2208 = 5*n + 113. Suppose 5*z + n = 4*p + 166, -2*p + 3*z + 127 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 6 + (-1 + 3 - 3)*(1 - 5 + 3) - 3 + 2 + 2 - 1 + 1 - 1)*(-3*u**3 - 3*u**3 - 7*u**3).\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003266332166 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.14 - 0.86. Sort -5, -3, d, 0.8 in decreasing order.\nAnswer: 0.8, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**3 + 274*k**2 - 1360*k - 485. Let s(z) = 11*z**3 + 273*z**2 - 1359*z - 485. Let p(m) = -12*c(m) + 9*s(m). Find h such that p(h) = 0.\nAnswer: -97, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3110 + 2?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-2))\/2*2382\/6. Let d = f - 146. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -4\/5, -320, 24, 8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 u when three letters picked without replacement from {u: 14, c: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10818, 10472, 10122, 9768, 9410?\n\"Answer: -2*z**2 - 340*z + 11160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/648 or 0?\nAnswer: -17\/648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186, -5706, -13230, -23758, -37290, -53826, -73366?\nAnswer: -95910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*v + 227*v + 17 = -4*n - 0*n, -5*n - 19 = 4*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7 + -18 + 10 + (-36)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226144, -904546, -2035222, -3618178, -5653420, -8140954, -11080786, -14472922?\nAnswer: -18317368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 2 + 2 - q. Let c(p) be the first derivative of -p**4\/4 - 7*p**3\/3 + 3*p**2\/2 - 2. Suppose -58*n + 48*n = 70. Give n*v(r) - 3*c(r).\nAnswer: 3*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(36\/15) + (0 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 22. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*y - 357 = -368, 3*n + 4*y = 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x**2 - 36*x**2 + 2 + x**2 to s*x**2 + d + j*x and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 + 5. Suppose -5*r = -87 - 13. Suppose -a - 5*m = -26, -r = -3*m - m. Sort a, -1\/7, y.\nAnswer: -1\/7, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -4*r + r. Let j = r - -921\/7. Let s be ((-2)\/(-4))\/((-24)\/16). Which is the third biggest value? (a) 0 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 1 (c) -10\/9 (d) 4 (e) 8\/847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u. Let c be y(-6). Suppose -3*x + 23 = -1. Suppose -x = -b + c. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/8 + m**3\/3 - 2*m**2. Let z(r) = -r - 1. Let u(n) = -w(n) - 2*z(n). Let p be u(5). Are p and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 17828 = -72*l - 16356 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 4 - 6*f**2 - 52*f + 2*f**2 + 19 + 21 = 0 for f.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1249 = 15*q - 17179. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 219, 334, 463, 612, 787, 994, 1239?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/2, 0.3, -3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*d**3 - 260*d**3 - 151*d**3 - 260*d)*(2*d - 2 + 2).\nAnswer: -6*d**4 - 520*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.3 (c) 0.2 (d) -36 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 - k + 1. Let c(b) = 4*b**2 + 5*b - 4. Give -c(r) - 4*v(r).\nAnswer: 4*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 4:19 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.207111?\nAnswer: 0.607111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + u**3 + 0*u**3 + (-u + 0*u - 2*u)*(u + 2 + 0 - 4 + 2*u**2) - 14*u**3 + 171*u - 171*u.\nAnswer: -22*u**3 - 3*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 3. Let n be k(6). Suppose -n*i + 4*s = 5, -2*i + 6*s - 2 = 3*s. Let p(x) = 3*x + 37. What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.2. Let v = 43.4 - 43.5. Which is the closest to v? (a) -3 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*(54\/(-2) - -23). Let c(u) be the second derivative of 0 - 11*u + 2\/3*u**q - 1\/2*u**2. What is c(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o + 1023*o**3 + 165 - 329 + 70*o + 164.\nAnswer: 1023*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5827 + 5967. Solve -53*b = -18*b + u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1178 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 6*f - 4. Let x(v) = -v**2 - 5*v - 3. Let i be x(-3). Suppose -34 = -i*z - 5*o, -4*z = -4*o + 3*o - 7. Suppose 2 + z = -c. What is w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-684)\/(-344) + 9 + -11)*95 and 9\/86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*o - 267 = 0. Find the second derivative of -2*k - 30 - 37 - 37 - 45*k**4 + o wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2538 is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (((sqrt(162) + (1 + sqrt(162))*5)**2 - ((sqrt(162) + 1)*-1 - sqrt(162))) + -2*(sqrt(162) - (sqrt(162) - (-2*sqrt(162) + sqrt(162) + 0))))*-3).\nAnswer: -70312 - 6912*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from vhvzddxxqvx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-14)*(-2)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2281 + -2224. What is the remainder when 367 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 + 4*x. Let m be w(-4). Solve -5*o - 15 = m, -5*s = o - 17 - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 482\/5 - 4\/10. Suppose 2*i + j = -j + 88, 3*j = -2*i + 92. Let c be (72\/i)\/((-9)\/(-60)). Calculate the highest common factor of c and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13.761063 microseconds?\nAnswer: 0.0000000001592715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2016644 (base 10) to base 13\nAnswer: 557ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 10*o + 14. Let c be r(-12). Does 8 divide (15\/c)\/(6\/(-104))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 6*w**2 + 2*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -176*p - 7. Let s(d) = 2. Give k(o) + 4*s(o).\nAnswer: -176*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 3480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -5 (c) -950\/51 (d) 9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2602, -5225, -7850, -10477, -13106, -15737?\nAnswer: -18370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 38, 35, 12, -37, -118, -237, -400?\n\"Answer: -w**3 - w**2 + 21*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/364*72\/15)\/((-12)\/448*-22)?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssuukuesuspuseupus. Give prob of picking 1 u and 2 s.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 + 10*k + 2. Let z be a(-5). Let m = -75 + z. What is the remainder when 8 is divided by (-22)\/(-6) - (-32)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7535 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4782 * -2.8074.\nAnswer: 13424.9868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 19*c**4\/24 + 5*c**3\/6 - 2*c**2. Is f(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521868 times -7\nAnswer: 3653076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n**2 - 3*n - 6. Give q(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 9. Let l(p) = 35*p + 13 + z*p - 6 - 74*p. What is l(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/2 - 1919*l**2\/3 - 15051*l\/2 - 20656\/3 = 0. What is l?\nAnswer: -32\/3, -1, 1291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2) + 2 - (-2 - 3). Suppose k - s*f - 6 = 3*k, 3*k - 1 = -5*f. Suppose -k*j + 6 = -j. Solve 0 = a - j + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 81298\/(-126) + (-2)\/(-9). Let f = o + 1164. List the prime factors of f.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14893207 divided by -833?\nAnswer: 17879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637887539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 3*v**2 + 3*v. Let p = 9 + -2. Let c(u) = 5*u**3 - 7*u**2 - 6*u. Let t(s) = p*m(s) + 3*c(s). What is the second derivative of t(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 - v**2 + 0*v**2)*(4990*v + 4954*v + 286 - 9933*v) to the form o*v**2 + j + k*v + m*v**3 and give o.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.57968ns in milliseconds?\nAnswer: 0.00001557968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -3129\/43?\nAnswer: -3129\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/318 and 21\/150049360.\nAnswer: 450148080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001148534076 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8 + h + 10 - 2. Let l be (2 - 20\/6)*(-90)\/10. Let b(k) = -l*k + 772 - 772. Calculate f(b(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -327 - -589. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(1\/33)))\/n)\/n**(1\/18) assuming n is positive.\nAnswer: n**(-203\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (21 - 21 - (2 + -1 + 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 27853*f**2\/2 - 20892*f.\nAnswer: f*(f - 13928)*(2*f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 58*y - 1116. Let i(h) = 57*h**2 - 5*h + 3. Let n be i(2). Calculate the greatest common factor of y and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 27. Let k be c\/(45\/(-25) + 2). Suppose 13*t = k*t + 720000. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 0.3, -10, 1\/8, 3\/320, 2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**3 - 5*l**2 - 4*l + 1. Let o be s(-3). Let g = -2287\/4 + 821. Let x = g + o. Sort x, 2\/13, -3 in increasing order.\nAnswer: -3, 2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8427214 (base 10) to base 3.\nAnswer: -120212010222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195 + -190. Differentiate 9*z**4 - 23*z**4 - 48 + k*z**4 - 26*z**4 wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 0*l - 4*l)*(l - 107 + 108 + 0*l**2 + 5*l**2) to the form s*l**3 + w*l + g*l**2 + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(2057).\nAnswer: 6 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 6, -92, -260, -498, -806, -1184?\n\"Answer: -35*m**2 + 77*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:45 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91\/16 - -293\/48. Put -10, n, 0.2 in decreasing order.\nAnswer: n, 0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 21*v = 24*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.08 plus -10?\nAnswer: -25.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2032 and -1.\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5941192?\nAnswer: 2, 167, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1038 and 218499?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = k - 5 + 4, 0 = 159*k - 154*k - 80. Factor 22\/3 - 1\/3*l**4 - 7\/3*l**w + 13*l**2 - 53\/3*l.\nAnswer: -(l - 2)*(l - 1)**2*(l + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 + 6.14. Let r = -14381 + 14374.9964. Let t = r + j. What is t rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0445281*0.2.\nAnswer: 0.00890562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -99*g**2 - 5*g + 5. Let l(o) = -49*o**2 - 2*o + 2. Determine -5*l(u) + 2*y(u).\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-6))\/(480\/128))\/((-7)\/(1512\/8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 94 times 155\nAnswer: 14570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/72 (b) -3\/8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b10a8 + -544?\nAnswer: b0764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 2, l: 1, o: 1, k: 2, j: 2}. What is prob of sequence qqok?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*(5130\/6)\/57*(-14)\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 15. Let r = 3 - -1. Put 5, v, r in decreasing order.\nAnswer: 5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61*(12 + (5 - -14)).\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/800 and -61\/583920.\nAnswer: 5839200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5, 3, 14, 1, 20660 in decreasing order.\nAnswer: 20660, 14, 3, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2676 (base 11) to base 4.\nAnswer: -312033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*34\/51*3\/(-5). Solve -2*q + 5*m - v = 0, -3*m = -q + 2*m - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3278*j**2. Let k(z) = 32*z. Calculate u(k(h)).\nAnswer: 3356672*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:02 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, u: 5}. Give prob of picking 1 u and 1 y.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) + sqrt(45)\/sqrt(5))*-6)\/(sqrt(3) + sqrt(21)\/(sqrt(7)*-4 - sqrt(7))))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/5? (a) -0.2 (b) 1 (c) -4 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 12. Let v(h) = -h**2 + 4*h. Let u be v(n). Suppose u = 4*o - 16 - 4. Solve -2*c - 21 = o*j, -3*c - 3*j + 2*j = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -11598254.\nAnswer: -7\/11598254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -15. Let t be ((-2)\/19)\/(n\/2). Which is the second smallest value? (a) t (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -65) + -11 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 293*r - 4101. Let s be p(14). Sort 21, -5, s in descending order.\nAnswer: 21, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.716 plus 1?\nAnswer: 5.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 54*f - 478. Let y be o(9). Calculate the highest common factor of y and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(3\/28))\/n)\/n*((n*n**(21\/4))\/n)\/n)\/(n\/(n**(5\/2)*n)*n*n**(-1)*n) assuming n is positive.\nAnswer: n**(65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -7*u + 233 - 115. Solve -5*x = -i - 31, 5*i + 4*x + u = 52 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 288*s**2 + 6158*s - 5868.\nAnswer: -2*(s - 18)*(s - 1)*(s + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/529 + 533\/1058. Let x = 0.3 + -0.4. What is the smallest value in u, -37, x?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*t**4 + 15*t**3 - 43 with respect to t.\nAnswer: 32*t**3 + 45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 times 127786?\nAnswer: -9967.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2933154, 2933148, 2933140, 2933130, 2933118, 2933104, 2933088?\nAnswer: 2933070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 30794192?\nAnswer: 184765152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136.67 + -136. Let z = r - 0.531. Round z to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/60*(-453)\/(-12) and ((-49)\/5)\/((-2560)\/800 - (-48)\/10).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 319164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -30*l**3 - l**2 - l - 1. Let h(a) = a**2 + 6*a + 4. Let y be h(-5). Let i be w(y). Let t = 50 - i. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2392615 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 + 15090\/(-4))*(64 - 66)?\nAnswer: 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 0.1 (c) -1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 67 = 2*l + 150, 2*b - 3*l + 18 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8770841800 to the nearest one million.\nAnswer: 8771000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 2*r = 0. Suppose r = -5*o - k + 85, 2*k = -17*o + 18*o - 6. Solve -5*s = -o - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 95027544?\nAnswer: -95027539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82111342?\nAnswer: 2, 127, 323273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776335965?\nAnswer: 3, 5, 51755731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -13 - -4 - (-6 + 18 + -12)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let s be -4 + 0 - 4\/(-2). Let c be h(s). Let p(x) = 4*x**2 + x - 1. Determine p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 0.33\nAnswer: -0.0627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115153 - 14509363\/126. Find the common denominator of -5\/98 and b.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:50 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, o: 3}. Give prob of sequence zzoz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434242?\nAnswer: 2, 217121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22702?\nAnswer: 2, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v. Let z(k) = -9*k. Let j(b) = 7*s(b) - 3*z(b). Let q(c) = 6 - 2 - 17 - 2 - 2*c. Calculate j(q(t)).\nAnswer: 2*t + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -71. Let c be (-22)\/(-8) + (13\/4 - v). Suppose -12 = c*q, -2*h - 5*q = 240 - 666. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(35) + -2*(sqrt(35) - sqrt(1715)) + sqrt(35))*4)\/(2*sqrt(14)\/sqrt(882)).\nAnswer: 588*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3285)\/27)\/(-73))\/(((-28)\/(-1))\/7)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 583*s + 2942. Determine m(190).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -4*n + 5*l + 50, -2*n + 21 = 5*l. Solve -d = -0*s + n*s, -3*s + 2*d = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1517671 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3773969 to 4 decimal places.\nAnswer: 0.3774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 877 - 731 - (63 - -2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405185?\nAnswer: 5, 11, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 3221368337.\nAnswer: -3221368337.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b629 (base 12) in base 6?\nAnswer: -2352053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(475) + sqrt(475) + -3)*4)**2.\nAnswer: -24000*sqrt(19) + 763599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5)*(-15)\/2. Let s(f) be the second derivative of 13*f**3\/6 - 3*f**2\/2 - 37*f. Let d be s(1). Solve -4*z + y = -d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 64, 8, 1, -1178?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.094728.\nAnswer: 0.094728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 8) to base 12\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21410 (base 5) to base 14.\nAnswer: -77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 - 2*r - 1. Let t(h) = -8*h - 4. Calculate the remainder when j(-4) is divided by t(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9892 + 14272. Suppose -23*k = -11*k - y. Calculate the greatest common divisor of k and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*f - 20, 0 = 2*f - 5*n - 7 - 13 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7668?\nAnswer: 7668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in -10, 3\/4, -4, -2\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 2*r. Let g be r + 4 + -14 + 13. Factor -15*p**2 + 3 - 11 + g*p**3 - 8 + 24*p + 4.\nAnswer: 3*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 763 divided by 7\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13241 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/(b*b**6))*b*b*b*b**(1\/44)*b*b*(b*b*(b**(-1\/9)*b)\/b)\/(b**(-2)*b))**(-2\/33) assuming b is positive.\nAnswer: b**(-6697\/6534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0628715571 - -0.4.\nAnswer: 0.4628715571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}