diff --git "a/data/dm_maths/full_data_2/10860_11255.jsonl" "b/data/dm_maths/full_data_2/10860_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10860_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = -1763\/7 + 253. Let g = 228\/5 + -45. What is the second smallest value in n, 6\/7, g?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/10)\/(152\/(-684) - (-2)\/8). Suppose 3*o = j - 2*o - 7, -2*j = -4*o - 2. Let h = -1 - j. What is the greatest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 809*v**2\/2 + 11269*v\/4 - 3222.\nAnswer: (v - 1)*(v + 8)*(v + 1611)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -58\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449981 and 2847.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 - 13*f**2 + 42*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201210 + 112200110?\nAnswer: 120102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*g + 66 = 0, 3*g + 34 = -4153*c + 4155*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 1. Suppose 2*i = -w*i. Solve -2*a + r = -2*r - 22, a + r - 1 = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {w: 3, o: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s - 23093 + 23093.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 276388*f - 276392.\nAnswer: 4*(f - 1)*(f + 69098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54 + 2 + -35 - 27\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 greater than -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*c - 0*r + 16660, 3*r = -2*c + 11084. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 913, 669, 269, -281, -975?\n\"Answer: b**3 - 84*b**2 + b + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(275)*2)**2 + 3 + 3 + ((1 + sqrt(176) - (1*sqrt(88))\/sqrt(8))*4 + 4)**2.\nAnswer: 192*sqrt(11) + 2757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10*i - 4 + i - 168*i**2 - 48*i**2.\nAnswer: -216*i**2 - 9*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -17a462?\nAnswer: -17a461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3 + 14*l - 7*l**3 + 3*l**3 - 2*l + 32*l**5 + 29*l wrt l?\nAnswer: 640*l**3 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*b*k*y - 12*b*o*y**3 + 2*k*y**3 - 2*k*y**2 - o*y**2 - 3*y**2 wrt b?\nAnswer: -12*k*y - 12*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3.2, -285, 120\/17 in decreasing order.\nAnswer: 120\/17, -3, -3.2, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2258728.2 months?\nAnswer: 18822.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5495516 to the power of 1\/2, to the nearest integer?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q**2 + 11*q - 11*q)*(2*q + q - q) + 4*q**3 + q**3 - q**3 + 0*q**3 + 0*q**3 - 3*q**3 to the form y*q**3 + d*q**2 + k*q + c and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.014 - -0.286. What is the second biggest value in 3, 0.03, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6388)\/((336\/(-1351))\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 196)\/4 - 7. Calculate the greatest common factor of 688 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 4*w - 3*w + 0*w + 2*w - w + (0 + 0 - 2*w)*(-1 - 3 + 6) - w + 0 + 0 + 0*w + w - 2*w + (-3*w + 3*w - 2*w)*(14 - 160 + 18)*(4 - 2 + 1).\nAnswer: 764*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 3. Let u = y - 1.2. Which is the second biggest value? (a) 0.4 (b) u (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 26*t + 72. Calculate h(-21).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {x: 3, e: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19906781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6366 (base 7) to base 8.\nAnswer: 4315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001101001100 (base 2) to base 3.\nAnswer: 212122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2*q**2 - 2*g**2*q + 2*g**2 + 2887*g + 1864*q**2 - 2*q wrt q?\nAnswer: 2*g**2*q - 2*g**2 + 3728*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 f when four letters picked without replacement from {h: 14, f: 4}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-28))\/3 + -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 22 - 100. Let f = -6691\/14 + 3174\/7. Is f smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38029, 38018, 38003, 37984?\nAnswer: 37961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(6 + 1)*(-3)\/(-35). Let t = -167\/315 - v. Sort -13, t, -3 in descending order.\nAnswer: t, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -82415228\nAnswer: -1\/82415228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380394 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18783 is divided by 650.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 - 94 = -3*h. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/324*11\/968*24?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/8 + 477*j**2\/4 - 1344189*j\/2 - 873086753.\nAnswer: (j - 2434)*(j + 1694)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324 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: Calculate -1.372 - -0.294446.\nAnswer: -1.077554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -41?\nAnswer: 8\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*d**2 + 12*d**6 - 8*d**2 - 3*d**2 wrt d?\nAnswer: 1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*w**5 + 1535*w**2 + 413040*w + 1 wrt w?\nAnswer: -1380*w**3 + 3070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4406?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0 + 2 - 3 + v. Let q be 0 - 1 - (-1 + -1). Let s(b) = -4*b + 7. Determine q*s(z) + 6*g(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10)**(-1\/20) assuming l is positive.\nAnswer: 1\/sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1152*m - 11555. What is a(10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12193927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 36 = -4*i - 5*t, 3*t + 30 = -5*i. Let p be i - (-4 + (-96)\/3). Suppose -3*k + 21 + p = 0. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 0.8 (b) -0.037 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 31, 50, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29556999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 114*q - 295 - 767 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose 2*k = -4*d, z = -d + 2*k + 13 - 3. List the prime factors of (-4)\/(-14)*(9 - d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -0.5, 2, -219, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5512, -5511, -5510?\nAnswer: -5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 4*n**3 + n**3 + 4 - 6*n**3 - 3*n**3. Let o(v) = 3*v**3 - 3. Calculate -2*m(h) - 3*o(h).\nAnswer: -h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -415\/4. Suppose 0 = -3*g - 74 - 94. Let k = g - -160\/3. Is z at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3636*i - 5. Let o(g) = 30*g**2 + 4*g. Determine p(o(k)).\nAnswer: 109080*k**2 + 14544*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -10, -5*d + 0*d + 4438 = -q. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(0 + 3 + 0)*(-7*n**3 + 3*n**3 + 5*n**3 - 6*n) to the form j*n + p*n**3 + c*n**2 + y and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/(-3) - (-3)\/(-9). Let i be ((-12)\/y)\/(22\/(-55)). Calculate the remainder when (-615)\/(-18) + i\/(-18) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 2 t when four letters picked without replacement from kqklkkttkkktlttkkkk.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*7\/42*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*t + 5*x - 10, 5*x - 4 = -2*t. Suppose -2*p - p - t = 0. Let a(r) = -2*r**3 - 5*r**2 + 2*r. Is 20 a factor of a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 + 0 + (-2 + 5 + 3)*(4 + 3 - 5))*(19*a - 20*a - 51*a)*(-3*a - a + 3*a) to the form p*a + y + c*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 23*t - 24*t - 4, 4*g = -t - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819.\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 639466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -58*z**3 + 3*z**2 - 3*z + 1. Let k(d) = d**2 + 1. Let r(c) = -3*k(c) + n(c). List the prime factors of r(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3795 + -3795. Solve -54*i + 50*i - 24 = u for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 661, 3.5, 38 in ascending order.\nAnswer: 3.5, 38, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 4. Let i(x) = x**3 - 7*x**2 + 7*x + 11. Let c be i(5). Let y(a) = a**2 + 1. Calculate c*y(p) + d(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -12.28.\nAnswer: 12.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96153 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344220451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((51 + -13)*(-21)\/(-49)*14\/4)\/(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 6*n - 55. Let y be r(4). Which is the smallest value? (a) -166 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91c - -290b?\nAnswer: 1cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -36, 50, 0, 2 in increasing order.\nAnswer: -36, -26, 0, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = -11. Solve -5*m + 4*i = -31, h*m - 27 = -2*m + 3*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -45 (c) 1 (d) -7 (e) -307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - n = 7469, -2*b + 5*n = -3006. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 22*g - 15. Let m be o(-21). Does 8 divide 8\/48 - (-149)\/m - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*i - 42 = a + 10*a + 57, -i - 3 = -4*a for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/9 + 28*j\/3 + 416\/9.\nAnswer: 4*(j + 8)*(j + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i*(((i*i*i*i**(-2\/23)*i)\/i*i)\/i*i*i)\/i)\/(i**(-2\/5))**(-24) assuming i is positive.\nAnswer: i**(36\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7869 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98445*c**3 + 302971?\nAnswer: 295335*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((2 + sqrt(637)*1)*-5 - (0 + sqrt(637) + sqrt(637) + sqrt(637)*-2 + 5)))**2.\nAnswer: 1120*sqrt(13) + 16181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503441.\nAnswer: 503441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 62 - 141 + 29)*(-w + 1 - 1).\nAnswer: 157*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1578 and 65\/24.\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-3))\/(-4)*-2. Suppose -8*k + 8 = -d*k. Solve 2*t + k = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 - 11 - 8*m - 2*m - 4*m. What is the remainder when q(-9) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.4 - 24.383. Which is the nearest to 1? (a) d (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4872422711.162 and 0.4.\nAnswer: 4872422711.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*(8 - -1). Suppose 4*y - 20 = f - 6*f, -j*y = 15. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/(-2)*3\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 412378 and 170986?\nAnswer: 7010426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.307 in -1.09, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2370 = -59*l + 54*l. Calculate the remainder when l\/(-9) - (-3)\/9 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*h - 12, -3*h - 5*s + 0*s - 15 = 0. Suppose h = 3*p - 3 - 6. Solve 2*z - 5*y = 24, 4 = 2*z + p*y + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-4) - 2\/8. Let d = 28 + -24. Let i = n + d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 1)*(19 - 37 - 76) - 2 - 3 - 2)*(v**3 - 5*v**3 + 6*v**3) in the form g + d*v**2 + m*v + r*v**3 and give r.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(198)\/sqrt(11).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n + 43*n - 5*u + 67 = -18, 3*n + 3*u = -48 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.2. Suppose -4*w + 7*w = -3*p - 6, -20 = 4*w. What is the closest to p in 1, s, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6)\/(1\/2). Let t be (4\/14)\/c + 4739\/49. Let s(z) = t*z + 3584 - 3584. Let a(f) = 2*f**2. Give s(a(i)).\nAnswer: 194*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 1674*i**4 + i**5 - 5 - 1673*i**4 - 14*i + (-4*i + 2*i + 0*i)*(i**4 - 3 + 3).\nAnswer: -i**5 + i**4 - 13*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 4\/9 (c) 9 (d) 575\/6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(228) + sqrt(228) + sqrt(228) + 2*sqrt(228) + sqrt(228))\/sqrt(12) + -1).\nAnswer: -36*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmlllllmm. What is prob of picking 2 l and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101101 (base 2) in base 13?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 + 17*o + 20. Let q(x) = -x**2 - x - 1. Let w(b) = 3*q(b) + v(b). What is the units digit of w(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153))\/sqrt(9) - ((-5 + sqrt(17)*2)**2 - sqrt(17)).\nAnswer: -93 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 13*i**4\/12 - i**2\/2 + 3*i. Let v be p(-1). Let r be ((-5)\/(-4))\/(1\/v). Solve 0 = -5*t + r, 3*t = 5*j + 2 + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/6 + 16*w**3\/3 + 19*w**2 + w - 38. Let x be i(7). Which is bigger: 165 or x?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) + 1))*-2 + (5 + sqrt(684)*3 + sqrt(684))**2 - ((sqrt(2299) + 0 - (sqrt(1539) + -2))**2 + -4).\nAnswer: 232*sqrt(19) + 10895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 70*w + 81. Determine z(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/135*(-12)\/20*(-72)\/816\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1. Let s(k) = -2*k**2 - 20. Suppose 0 = -5*g - 3*m - 14, g + 15 - 11 = -m. What is g*s(b) - 6*v(b)?\nAnswer: 2*b**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4, q - 50 = -z + 39. Let x be 5 - ((-32)\/10)\/((-34)\/z). Sort 7, x, 0 in descending order.\nAnswer: 7, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -15*r + 127398. Suppose -5*g + 36767 = -r. What is g rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b - 1. Let d be u(1). Let h = -126 - -122. Let x be (-5 - -2) + 8 + (h - 1). Solve d*m = -q - x*q + 21, 4*q + 21 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -37. Suppose -2*j = -5*o - 27 - u, -2*o + 114 = 4*j. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -189371.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y + 96. Let d be k(-13). Solve d*j + 4 = 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from grgo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a. Let n(h) = h + 8. Let p be n(-4). Let b(j) = j**2 + 1. Let m(y) = 0*y**2 + 1 + 3 + 3*y**2. Let o(t) = p*b(t) - m(t). Give g(o(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:14 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -40?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:54 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 10*i - 10 + 5)*(-2*i - 4*i + 0*i).\nAnswer: -60*i**2 + 78*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3. Let y(t) = 4*t**3 + t**2 + t + 6. Let k(v) = -3*n(v) + y(v). Let j(g) = -g**2 + g. Let p be j(1). What are the prime factors of k(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75.95 + -1416677251.\nAnswer: -1416677326.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7170)\/(-30)*(4 - 1).\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/11)\/d**(-5\/4) assuming d is positive.\nAnswer: d**(35\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 76, 86, 82, 58, 8?\n\"Answer: -f**3 + 2*f**2 + 19*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 greater than 831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/70)\/((-4)\/(-10)). Let h(l) = -2*l + 2. Let i be h(-1). Let n be (3\/15)\/(i\/(-8)). Which is the smallest value? (a) v (b) n (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let z be (-8)\/28 + 46\/14. Let t be 0 + (5\/(-2))\/(320\/(-128)). Put t, 2, n, z in decreasing order.\nAnswer: z, 2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5620775501 to the nearest integer?\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 2. Let f be s(4). Let v be (-6)\/f + 95\/(-200). What is the third biggest value in v, -1\/3, 1\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18050892833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 + 4*n**2 + 7*n - 19. Let m(w) = -3*w**3 - 3*w**2 - 5*w + 13. Give -7*m(g) - 5*x(g).\nAnswer: g**3 + g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 151.1 and 3?\nAnswer: 148.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = -2*k. Let p(i) = i**2 - 8. Let u be p(0). Let s be (2 + u)*(-1)\/k. Solve -5*m - s*t = -20, -5*t + 0*t = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**7\/140 - 23*x**6\/6 + 223*x**5\/8 - 455*x**4\/6 + 101*x**3 - 3384*x**2. Suppose d(r) = 0. Calculate r.\nAnswer: 2\/3, 1, 2, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 35, 32, 29, 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -617984382 and 0.21.\nAnswer: -617984381.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 18. Let s = -7.7 - k. What is the third smallest value in -5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 7*j**3 - 7*j**3 - j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-1 + sqrt(13) + 1)) + sqrt(208) + -2 + (-2*(sqrt(130) + sqrt(130)*-1 + sqrt(130)))\/((sqrt(10) - sqrt(20)\/sqrt(2))*-6 - sqrt(10)))**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2515\/16 - -157. Suppose -190*w - 48*w + 140 = -98. Which is bigger: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1161038*m**4*v + 2*m**4 - 2*m**3*v - 2*m**2 + 817132*m*v + 3*v wrt m.\nAnswer: -27864912*m*v + 48*m - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*11\/(-264))\/(2\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 + 6*t - 1. Let f be b(5). Suppose -f*p + 76 = -20. Calculate the highest common factor of 264 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9272404.\nAnswer: 2, 23, 100787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -332, -454, -654, -932, -1288, -1722, -2234?\n\"Answer: -39*y**2 - 5*y - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*q - 115, -4*j = 2*q - 16 + 90. Let u be 4\/10 + -1 + (-892)\/j. What is the highest common divisor of 110 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202183000 to the power of 1\/2, to the nearest integer?\nAnswer: 14219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.908 + -0.908. Let b = 13.6 - 12.6. What is the closest to b in h, -4, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 - (5 - 3588\/(-672))*44\/(-78) and 54\/5.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-631 + 679).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from xxxxxxxxxxrxx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5282\/3 (b) -2\/187 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 260 = 3*w - 2*y, w + 106 = -5*y. Is 11 a factor of 995\/7 + (-108)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*14\/84*3\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9693, 19387, 29079, 38769?\nAnswer: 48457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -298610 equal to -2090271\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 15552014?\nAnswer: -15552053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 7909*q**5\/5 - 7439*q**2\/2 + 14706. Find the second derivative of z(t) wrt t.\nAnswer: 94908*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13002611, 13002614, 13002617?\n\"Answer: 3*y + 13002608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180\/(-99) - -2 - 12\/66. Solve y*l + 2*l - u - 12 = 0, -10 = -4*l - 5*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-25) - 5248\/(-40).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {q: 1, r: 11, z: 1}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 266*c - 234*c. Put -3, c, 53, 0 in decreasing order.\nAnswer: 53, c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.99. Let v = 0.19 + -0.18. Let s = v + c. Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 1. Suppose 5*t = 5*z - 5 - 10, g = 2*z + 2*t. Find the third derivative of 3*q**z - 28*q**4 - 18*q**2 + 28*q**4 + 11*q**6 wrt q.\nAnswer: 1680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 16*j - 42. Let d be p(-6). Let i = 51 + d. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o + 702 = 847. Let h = -1.3 - -0.3. Let w = 0.4 + h. What is the nearest to -1 in o, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -1, -18, -51, -106, -189?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -231*f - 711. What is o(-4)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*v = 86*v - 4*x - 1, 5*x - 15 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2360*d**3 - 2*d**2 - 2*d - 77 + 6667*d**3 + 4*d - 2406*d**3 wrt d.\nAnswer: 11406*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(1 + sqrt(7)))**2*5.\nAnswer: -120 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/6*434\/(-4). Let o = q + -460. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x + 195 = 940 + 455 + 932 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 - k. Let u(y) = 1616658*y. What is u(i(t))?\nAnswer: 11316606*t**2 - 1616658*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = m - 2*h, h = 2*m - 17. Suppose -3*o + 0*o - 87 = -5*k, 34 = 2*k - o. Let a = k - -14. Calculate the remainder when a is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 5 (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(152) + 1*sqrt(152))\/sqrt(8)*6 + 4 + (sqrt(2299) + 2 - sqrt(2299)))**2.\nAnswer: 720*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j - 10. Let w = 4 - -2. Is o(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -1\/4 in decreasing order.\nAnswer: 15, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.766?\nAnswer: 0.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 104 = -4*f, 2435 - 2507 = -5*f + y. Suppose -g - g = -300. What is the lowest common multiple of f and g?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -27. Let w be (-40)\/3*(-24)\/(-16). Let a = u - w. Solve r = -4*r + a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 26*u**2 + 4 - 14 + 32 - 9 - 28*u**2.\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 31 = 2*g - 39, 4*n + 2*g = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b98 (base 15) to base 16.\nAnswer: -1769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + 15*o**2 + 20*o + 9. Let c be z(-6). Let m be 1\/2 + 4\/(-6). Sort m, 0, c, -4 in increasing order.\nAnswer: -4, c, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*x**3 - 175*x**2 - 395*x - 30 = 0 for x.\nAnswer: -1, -3\/38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*r = -140, r + 166 = 2*s + 11. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 57, 70?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944*x + 5*y = -941*x - 72, y - 48 = -2*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6988300 is divided by 1275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1379126 and -73\/153477022.\nAnswer: 1074339154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, -63, -5, 5, -36\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/g)**(-3\/16) assuming g is positive.\nAnswer: g**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.656637s in days?\nAnswer: 0.0003548221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -4160.\nAnswer: 249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + 185.2.\nAnswer: 107.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 28062708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:51 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -31. Let l(m) be the third derivative of 0 + p*m + 1\/12*m**5 + 0*m**3 + 13*m**2 - 13\/24*m**4. What is the second derivative of l(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-19 - (-22 - -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 278844759 to the power of 1\/2, to the nearest integer?\nAnswer: 16699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 177*a**2 - 228*a + 25. Let h(y) = -59*y**2 + 85*y - 8. Determine -8*h(g) - 3*i(g).\nAnswer: -59*g**2 + 4*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11167\/1718)\/((-2)\/12).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(18)*5 + 3 + ((sqrt(2) - (0 + sqrt(10)\/sqrt(5))) + 3)*3.\nAnswer: 14 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 53, 16602, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.03 - 0.03. Which is the smallest value? (a) m (b) -3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:19 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0f - -7?\nAnswer: -b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 268.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1302*n**2 + 73*n + 11. Let a(c) = 868*c**2 - 52*c - 8. What is -7*a(u) - 5*m(u)?\nAnswer: 434*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 3*f + 27561*f**2 - 4*f.\nAnswer: 27561*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c208 - 3?\nAnswer: -1c20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 5\/11, -29, -2 in ascending order.\nAnswer: -29, -5, -4, -2, 5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*v - 2 = 7*v, v = y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 561559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3430 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1663 = 13*t + 677. Let z be 35\/10*t\/(-42). Solve -3*o - z = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 12, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10378 is divided by 248?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = -4*s, 2*a - 3*s = 6*a - 24. Solve -a*n = 15 - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 + 15820*a**2 - 47525*a - 63340 = 0. What is a?\nAnswer: -3167, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30061772 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94620 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 4383.\nAnswer: -8\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72457.\nAnswer: 7, 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*x - 30*x - 43*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 0, z - 2*z + 95 = 5*l. Suppose -5 = 8*n - 3*n. Let h be (14\/12 + n\/6)*38. What is the highest common divisor of z and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10326.\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/2 - 2113*y**3\/2 - 8474*y**2 - 21202*y - 16968 = 0.\nAnswer: -4, -2, 2121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 5*z - 8. Let n(k) = k**2 - k - 2. Determine -9*n(q) + 2*y(q).\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30902792 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/34, -19, -1\/4, 4?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 40*t + 66*t = 42*t - 460, 74 = -4*w + 2*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33421 is divided by 6668.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g. Let c(w) be the second derivative of -13*w**3\/6 + 2*w**2 + 11*w. Let q(v) = -377*v + 117. Let f(d) = 117*c(d) - 4*q(d). Determine f(s(u)).\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268548871 smaller than 268548868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48756187 != 48756190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 165, 342, 511, 672, 825, 970?\n\"Answer: -4*c**2 + 189*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22927618 and 1358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -25*m + 47. Let y be h(5). Let v = y - -96. Calculate the least common multiple of v and 106\/6 + (-3)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/7 - 103012914*c\/7 = 0.\nAnswer: 0, 34337638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4041, -4042, -4043, -4044, -4045, -4046?\n\"Answer: -x - 4040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 2 + (-4 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - -4772.3.\nAnswer: 4791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(-9\/10)\/(q*q*(q\/q**(-1))\/q*q)**(-2\/7) assuming q is positive.\nAnswer: q**(-109\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0 - 1 - 3*n + 0. Let x(l) = -17*l - 25*l + 59*l - 20*l. Let k(b) = -3*s(b) + 2*x(b). Determine k(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 5 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69495.61ug to tonnes.\nAnswer: 0.00000006949561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -1, -13 in decreasing order.\nAnswer: -1, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 240805388.1 to the nearest ten thousand.\nAnswer: 240810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 593283264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a factor of 5527392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*n - 198*n + 3*f - 65, 2*n + 3*f - 25 = 0. Let p(o) = -o**2 + 7*o - 1. Let w be p(7). Sort n, 2, w, 1 in decreasing order.\nAnswer: n, 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3126526 (base 9) to base 15\nAnswer: 2302ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 900107 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819762274 to the power of 1\/3, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -3*k - g - 4*g, -1110*k + 1111*k - 5*g = 18 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195 + -198 + -6 + 2 + -1 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87836*q**3 + 43864*q**3 + 43921*q**3.\nAnswer: -51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1213285, -1213292, -1213299, -1213306, -1213313, -1213320?\nAnswer: -1213327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 4559.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 3, t: 1}. What is prob of sequence sllt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174899 is divided by 55947.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9162072 divided by 1944\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29631 (base 10) in base 4?\nAnswer: -13032333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12838 (base 9) in base 5?\nAnswer: 234302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + (-24)\/(-14). Let r(k) = 4*k - 9. Let s be r(3). Let h = s + x. Calculate the highest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118936 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*a**2*g - 2*a**2*y**2 - a*g*y**3 - 56*g*y**3 - 2*g*y**2 + 2*y wrt a?\nAnswer: 18*a*g - 4*a*y**2 - g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + i + 2*i - i + 0*i + (-1 + 1 + i)*(2 + 2 + 2).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 633032987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0, -5, -20, 3 in ascending order.\nAnswer: -20, -5, 0, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 + 109*p**2\/7 - 110*p\/7.\nAnswer: p*(p - 1)*(p + 110)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 6*o - 1. Let j be f(-6). Let k be (-4)\/12*j*3. Is k at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55188, 55200, 55226, 55272, 55344, 55448, 55590?\n\"Answer: h**3 + h**2 + 2*h + 55184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17771 is divided by 225?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*c = 6*x - 11, 1 = -x + 4*c. Let z be x + -2 - (-8)\/4. Solve l + 2*l - z = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3936978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*b = 2*b - 16, 5*b + 10 = 0. Determine v so that -7*v**2 + 4*v**2 + v**4 - v**g + 3*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/6 - 3)*-3. Factor 17*g + v*g + 2*g**2 - 4*g**2 - 8*g.\nAnswer: -2*g*(g - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 331548, 4, 2 in increasing order.\nAnswer: 2, 4, 331548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -4.7 (c) -4 (d) 0.5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(3 - 2) - -3. Suppose 18 = 50*j - 41*j. Suppose x - 13 = j. What is the highest common divisor of z and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j**(3\/10))**(-8\/9)*(j\/(j\/(j\/(j**12\/j)))*j**(9\/2)*j*j)**(3\/20) assuming j is positive.\nAnswer: j**(199\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 4 + 2*w - 2 + 16.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/15 (b) -0.5 (c) -2 (d) 0.0533994\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 3*q**2 + 3*q - 4. Let o be y(3). Solve 0 = o*h - 4*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssussssmusssuss. What is prob of sequence ssu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -15 (c) 450 (d) -4 (e) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1. Let d(v) = v + 6. Let q be d(-5). Let c(w) = 308*w + 296*w - 609*w + 4. What is q*c(b) + 6*l(b)?\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4438, -4440, -4440, -4438, -4434?\n\"Answer: i**2 - 5*i - 4434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1047252, 1047251, 1047250, 1047249, 1047248, 1047247?\nAnswer: 1047246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18988)\/3131 - (5\/(-1) + -1). Let t = -199 - -198.5. What is the nearest to -0.1 in 3, t, 2\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1529593 or 1529574?\nAnswer: 1529574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 9*j**5\/10 + 25*j**4\/12 + 11*j. Find the third derivative of h(r) wrt r.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*t + 16 = 3*t, 4*s = -2*t + 14. Suppose 4*h - s = 12. Solve 5*z = h*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177400093 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = 75 + 29. Does 21 divide i\/3*(-3609)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13 - (40 - 122 - -50).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 40*f**2 + 14027*f - 868014.\nAnswer: -(f - 83)**2*(f + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.51 - -8.51413. Round w to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + f + 3*f + f - 4. Calculate the remainder when 47 is divided by n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2. Let m(s) = s**2 + s + 5. Let v be m(4). Suppose -d - v = -6*d. Let x(a) = -d + 2 + a + 3. Calculate x(o(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.214 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:44 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24877855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and 255.5?\nAnswer: 255.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33600 by -28.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*a = -327*a - 1512. Suppose 0 = c + 45 - 189. Calculate the greatest common factor of c and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-77571)\/1938 - (-11)\/418\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86\/5438239 - 1459965964139\/473126793. Let q = 9257\/3 + p. Let k = 235\/58 - q. Calculate the common denominator of k and 89\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1967*u**3 - 8*u - 8. Let j(l) = -1312*l**3 + 5*l + 5. Calculate -8*j(d) - 5*s(d).\nAnswer: 661*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1424 + 1477. Suppose -5*m + 8 - 3 = 0, 5*q - 48 = 2*m. Let v = n - q. What is the common denominator of -61\/5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/34 + -163\/306. Which is the nearest to 0? (a) f (b) -0.2 (c) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-126)*42\/(-70)*2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1027, -1, 0.08, 2, 1\/3 in ascending order.\nAnswer: -1027, -1, 0.08, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -807, -847, -897, -963, -1051?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**6\/9 - 5*p**5\/12 + 5*p**4\/36 + 5*p**3\/9 + 111*p + 143. Let t(f) be the first derivative of c(f). What is d in t(d) = 0?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3, -5, -307 in decreasing order.\nAnswer: -3, -5, -25, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 287042 minus -1405.8761?\nAnswer: 288447.8761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 43, 8, 3, -2 in decreasing order.\nAnswer: 43, 8, 3, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Give l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.1. Let x = -0.07 + -2.93. Let d = x + k. Sort -1, 1, d in increasing order.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 6 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 1 - 3*r**2 - 1. Let v(n) be the third derivative of n**4\/24 - 2*n**2. Give v(t(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -62a8 (base 15) to base 14\nAnswer: -785c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 336?\nAnswer: 65\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 277 = 18297. Is t bigger than 529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310276.\nAnswer: 2, 11, 97, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-882)\/(-980)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -608495.343 minus 1?\nAnswer: -608496.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90987*c**4 + 23*c - 15787316?\nAnswer: -363948*c**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3511, 7003, 10495, 13987?\n\"Answer: 3492*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 906364, 1812993, 2719620, 3626245, 4532868, 5439489?\n\"Answer: -s**2 + 906632*s - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672.7909km to meters.\nAnswer: 672790.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 2, z: 2, a: 1, p: 1, n: 7}. What is prob of picking 1 n, 1 p, and 1 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 5281 = -12982. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-6)*-3)\/((-24)\/((-144)\/15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from dttdjlm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 120384.\nAnswer: 120384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3649124 divided by 73\nAnswer: 49988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -22?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + o - 14 = -0, -10 = -3*x - 5*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528476 divided by -382119?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -102472 (base 10) to base 9\nAnswer: -165507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) - 332\/8. Let l = i - 1339. Let q = l + 231. Round q to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47974 divided by -12?\nAnswer: -23987\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/46 and 2975 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15792.6 rounded to the nearest one hundred?\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/295? (a) -0.5 (b) -0.3 (c) -3\/7 (d) -2\/13 (e) -0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2. Let s(j) = j - 6. Let c(n) = n - 6*n + 3 - 4 + 4*n. Let k be c(-3). Suppose 0 = -2*a - 2 - k. Determine a*s(d) + 6*u(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let z = -1 - 3. Let t be (-6)\/(-15) + (-34)\/10. Put l, t, z in ascending order.\nAnswer: z, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 67*p + 4. Let f(c) = -6314 + 2106 + 2102 + 2099 + 33*c - 167*c. What is 4*f(o) + 7*u(o)?\nAnswer: -67*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75289 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**3 - 12*n**3 - 15*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 233, 327, 459?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/2 (c) -1305963\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*(32\/(-9))\/8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/11)*(a\/a**(-1))\/a)\/(a**0\/(a\/a**(2\/3))) assuming a is positive.\nAnswer: a**(56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -4. Put 2\/15, w, 21 in ascending order.\nAnswer: w, 2\/15, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1480417, 1480418, 1480419, 1480420, 1480421?\n\"Answer: q + 1480416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 at most 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1 - 7 + 4*a - 4*a**2 + 10 - 5. Let p(f) = 4*f**2 - 3*f + 2. What is -3*d(k) - 4*p(k)?\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 55875484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772913 is divided by 171?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*l = -19*l - 30*l - 2147 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*n**3 - 437*n**3 - 131*n**3.\nAnswer: -714*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 >= 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/2 - 2472*n - 4943\/2 = 0.\nAnswer: -4943, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 779.37191905 and -89.1.\nAnswer: 690.27191905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*y + 147*y - 5 = -2*o, -2*y + 1 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43271, -86550, -129829, -173108?\nAnswer: -216387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3940352 and 6139904.\nAnswer: 4096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 673588444 divided by -8526436\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrr when three letters picked without replacement from rrgggrggrrggrrrqg.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5981 + -4659. Which is greater: 1320 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45507, 91021, 136535, 182049, 227563?\nAnswer: 273077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 60 = 6*k - k, 4*k - 4*i - 32 = 0. Solve -7*w + k*w - 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/4 - k**5\/60 - k**4\/3 + 7*k**3\/6 + k**2 - 21*k. What is the hundreds digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -301, 157, 615, 1073, 1531?\n\"Answer: 458*t - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3162891 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - l + 26 = 3*l, 3*q = 3*l + 3. What is the remainder when 23 + -4 - (2 - 1) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a + 25. Let g be b(6). What is the thousands digit of (-802*g)\/((-99)\/22 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175166801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 + 411642*i + 25945353 = 0. Calculate i.\nAnswer: -63, 137277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -14*h - 18. Let s(b) = 7*b + 9. Suppose -6*t = 7*t - 78. Let i(y) = t*m(y) + 13*s(y). What is the units digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2781\/(-6489)*(-238)\/12)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -43*p + 426. Determine q(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1596)\/294)\/((-96)\/(-28)))\/(1\/(-2))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.199, 7, 2\/7 in increasing order.\nAnswer: -0.199, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 + 262155*g**3 - 1319139*g.\nAnswer: 24*g**2 + 1572930*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 + 6)*2)\/(2 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/(4\/2) + -3. What is the third derivative of 17*o**2 - 1 + o**3 - l*o**2 + 1 wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 2. Let s be x(-4). Suppose s*n + 0 - 2 = 0. Let t(f) be the second derivative of f**4\/6 - f**2\/2 + 8*f. What is t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*b + 12, -4*b + 8*b - 17 = -r. Let g = b - -1. Let i(z) = z - 5. Let v be i(g). Solve -f + 2 = -v*f + 3*t, 5*f + 2*t + 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 347.8 - 348. Let x(c) = c**3 + 5*c**2 - 15*c - 6. Let p be x(-7). What is the closest to p in 2\/7, -44, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-4))\/(63\/35 + (-272)\/160)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3427 times -116038\nAnswer: 397662226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 12. Let m(u) = 13*u + 23. Give 5*b(t) + 3*m(t).\nAnswer: 9*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36069412, 72138825, 108208238, 144277651?\n\"Answer: 36069413*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 - 21023*j**2 - 574*j + 91.\nAnswer: 12*j - 42046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + -0.1. Let s = -0.0546 + -8.9454. What is the second smallest value in s, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*c + 38782 = 0, 5*c = 4*c - 6. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44473370 to the nearest 100000.\nAnswer: -44500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -3)\/(1\/(-4)). Suppose -d*a = a. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (0 - -3) - -3. What is the highest common factor of f and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568 and 1562?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1524*h**3 - 380*h**3 + 136*h**3 - 1590*h**3.\nAnswer: -3358*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 12*r**2 + 8*r + 3. Let f be g(-11). What is the highest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - b. Let g be y(-3). Suppose 3*k - 2*o = -141, -8*o - 168 = 4*k - 4*o. Let z = g - k. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 9*c**3 - 6*c**3 + 121.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 386207.\nAnswer: 11\/386207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -773 (base 11) in base 13?\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861 is divided by 213.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 6\/11, 0.143, -2\/7, 4, -5\/9, -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by 2477.\nAnswer: -273\/2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/6 + 3*t**2\/2 + 7*t. Let f be 0\/(1*(-1)\/(-1)). Give a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -6, 0.1, -3, 1319 in increasing order.\nAnswer: -6, -3, 0.1, 3\/4, 1319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5114*s**2 + 52*s**3 + 5*s**3 - 5114*s**2 + 450*s wrt s.\nAnswer: 342*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.074\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65578270\/539 + -121666. Let h = -18\/49 + f. Let s be 1 - 3 - 6\/3. Which is the smallest value? (a) h (b) s (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 16*n + 21*n = -148, 128 = 2*z + 4*n. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 13*m**3 + 8. Let b(g) = -2*g. Give s(b(d)).\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0917 plus -13365942?\nAnswer: -13365939.9083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-80) - 48\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*z - 8. Let t = z + 10. Solve t*k + 5 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2009 - 27b7?\nAnswer: -7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1123, 3490, 7117, 12016, 18199, 25678?\n\"Answer: 2*x**3 + 618*x**2 + 499*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20 - 4)*((-22)\/(-8) + 1). Suppose m + 3*m = v. What is the lowest common multiple of 9 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 609, 1198, 1795, 2400, 3013, 3634?\n\"Answer: 4*y**2 + 577*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4 - (-1275)\/2890*5?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -481?\nAnswer: -2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21608043, -43216085, -64824127, -86432169, -108040211, -129648253?\n\"Answer: -21608042*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 30*s - 415 = 2705 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*o = 982, 5*s + 2*o - 1929 + 324 = 0. What is the remainder when s is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*o**2 - 19800*o**4 - 3*o**2 + 19806*o**4 - 284 wrt o.\nAnswer: 24*o**3 - 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (19 + 0 + -5)*2. Calculate the highest common factor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6668.5 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15488090509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 2*j + 2*j)*(3 + 1 - 5) + 0*j + 4*j - j)*(j + 0*j + 0*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83316 is divided by 434.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.02, -1, -4, -750?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-35))\/((-4)\/70). Is (-4090)\/(-12) - f\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -t - 3*a, -44*t + 43*t - 4*a + 26 = 0. Calculate the smallest common multiple of 91 and t.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 49. Let n(y) be the second derivative of -y**2 - 3*y - 4*y**3 - 32\/5*y**s - 8*y**4 + 0. Suppose n(h) = 0. Calculate h.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 9}. Give prob of picking 2 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-183 + 281 - 111 - 112*m).\nAnswer: -112*m - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 15 = -4*r + 17, 0 = 4*o + r + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 256 - 20. Let q = 66 - i. Is q at most as big as -36\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 28004.\nAnswer: -2\/7001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4*12\/(-32)). Let v(r) = r + 1. What is v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/3 or -940698?\nAnswer: -940698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 213*v - 2409*v - 856*v - 2705*v + 893*v to i + r*v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let f = 4 - o. Suppose f = -5*m - 0 + 95. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -74*i - 1244. Give v(-20).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.2 - 25.2. Let q = -111 - -106. Which is the nearest to -1\/5? (a) q (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*m*o**3*p*t - 3*m*o**3*p - 2*m*o**2*p*t + m*o**2*p - 2*m*o*p - o**3*p + 2459*o**2*p*t wrt o.\nAnswer: 1422*m*p*t - 18*m*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-7) + 36\/(-63). Suppose 5760000 = -5*r + l*r. What is r rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1199*v + 8 = 1198*v - 2*p, -5*v + p = 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2918 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -390.008566 to zero dps.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15616.7625 to the nearest 10.\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 50 (b) 1\/47 (c) 1 (d) -4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*g - 76 = 0, 3*d + g + 4 = -42. Let n = 10 + d. Let f(o) be the third derivative of o**4\/24 + o**3\/6 + 2*o**2. Determine f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10 - -1)*1)\/1. Let f = 13 + g. Let r(z) = 5*z**3 + 4*z**2 + 4*z - 1. Let c(p) = -p**3 - p**2 - p. Give f*c(m) + r(m).\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1071 + -1186. Which is bigger: -110 or l?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186794 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*u - 11, 10630*g = -u + 10626*g - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((-84)\/(-20))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 44143567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j - 5. Give z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:26 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 17. Calculate the remainder when 32 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 - 88*c**2 + 76*c - 471. What is b(17)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-42))\/((-8)\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2216 - 2209. Let n = 13 - -1. Is 4 a factor of d\/n*(-36)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6096 - -6100. Which is the second biggest value? (a) m (b) 2\/3 (c) 2\/35 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2\/3 + 382174*s + 458608\/3 = 0.\nAnswer: -229304, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -11*g - 2*j, 4*j + 3977575 - 3977603 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*w - 102 + 36*w**2 + 10*w + 45 with respect to w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1799, -1807, -1829, -1871, -1939, -2039, -2177?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/10*(4 - -8*69\/(-368)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/(-2))*135\/(32130\/56).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7613 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + t - 6*t + (0*t - t + 0*t)*(4 - 6 + 0) + 0*t - 2*t + t - t - 3 + 3 - 5*t + 2*t + t + 3*t - 7*t + t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4721\/13 - -363. Let g = 140 + -139.5. What is the second smallest value in g, 1, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579055431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 4. Let q(z) = 2*z**2 + 18*z + 14. Let k be q(-9). Let u(o) = o**2 - 9*o - 3. What is the remainder when u(k) is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 60*j - 30*j = 29*j, 0 = -10*h + 9*j - 6*j - 0*j - 6 - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11935425 divided by 75?\nAnswer: 159139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -114, -351, -806, -1551, -2658?\nAnswer: -4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/39 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92.3 + 97. Let l = 5 - w. Let m = 7\/18307 - 18356\/128149. Which is the biggest value? (a) -0.3 (b) -4 (c) l (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12096*d**5 + 2044*d - 4 wrt d?\nAnswer: 241920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10028.\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15034 - 14337. Calculate the remainder when r is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1)*(-790)\/(-30). Let o = h + 78. Let b(m) = -2*m**3 + m**2 - m - 1. Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:50 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 22. Let w be j(-10). Which is the second smallest value? (a) 2\/7 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 708.65 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73380 is divided by 94.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 1071?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times -752.97\nAnswer: -1430.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 6*z + 1. Let g be m(4). Suppose w + 2*w = -3. Let i = g - w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose 0 = q*h - 6 - 10. Suppose 0 = 5*f - 5*d - 30, -f + 4*f - 20 = 2*d. What is the highest common divisor of h and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1853 + 1856. Solve k + m*i - 19 = 3*k, -2*k - 22 = -4*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354\/(-30) - (21 - 32)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128233.\nAnswer: 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 1. Suppose 12*t + 2662 - 2590 = 0. Suppose -5 = -8*g + 3*g. Let y(b) = -5 + 2*b + 7*b**2 - 4 + g. Determine t*c(o) - y(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 12*o**2 - 3*o - 19. Let a be l(-13). Calculate the remainder when 354 is divided by a\/(-8) + 3\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -272007 and -136.\nAnswer: 36992952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 72. Let p = 6973 + -6974. Which is the closest to p? (a) -4 (b) 0.3 (c) -2\/7 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 7, n: 1, h: 4, r: 5, b: 2}. Give prob of sequence rhan.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30*b = -35*b + 41, -47 = -5*o - 3*b. Let h = 6 + -4. Solve h = 5*f + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -28*o + 85. Suppose -o*r - 2*g = -9*r + 6, 0 = -g + 5. Solve -k - q = 6, r*k + 13 = -3*q - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646580540.\nAnswer: 2, 3, 5, 11, 2494819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*m = -63, m + 3*m = 5*q - 80. Let u(p) be the second derivative of p**4\/3 - 22*p**3\/3 + 9*p**2\/2 - 29*p. What are the prime factors of u(q)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(1\/8)\/(w**(-1\/8))**(-11\/8) assuming w is positive.\nAnswer: w**(-93\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.13 or -20?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -3446.98246?\nAnswer: 3446.89246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 168\/(-49)) + 2 + -2. Let g = 3 + 2. What is the biggest value in -2, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 2\/19, -1726?\nAnswer: -1726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1138 - 0.1862. What is the smallest value in -3, l, 3\/4, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -82\/7, 3\/29, 145?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -4131254?\nAnswer: -4131260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 23*r**2 - 70 - 66 + 136.\nAnswer: -23*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13823 or -13953?\nAnswer: -13953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 585501687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) -0.27 (b) -2\/3 (c) 10.9 (d) 343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -22. Sort -12, 0.4, x.\nAnswer: -12, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234024 < -801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)\/(s*s**(-2\/19)))\/((s**(-1)\/s)\/(s*s**(-8)))*((s\/(s**(-8)\/s))\/(s\/s**5))**48 assuming s is positive.\nAnswer: s**(12618\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13209*p + 7. Let x be t(3). Let o = x + -234164. Let g = o + 523784. What is g rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1262\/7 + -180. Let i = -2.34 - -2.44. Which is the biggest value? (a) i (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 21*r**2 + 4*r. Let j(o) = 60*o**2 + 13*o - 24*o**2 + 29*o**2. Let w(c) = -13*g(c) + 4*j(c). Let q(a) = -10*a**2. Calculate w(q(h)).\nAnswer: -1300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36028669 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4\/7, -5, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 6 = 0. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5171 + -5146.01. Let i = 0.99 - a. Put 1, -0.3, i, -4 in ascending order.\nAnswer: i, -4, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.2. Let p = -0.51 + 0.31. Which is the biggest value? (a) p (b) 4\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 2, w: 4, s: 1}. What is prob of picking 3 w and 1 g?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2877 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i*i**(-2\/23)\/i*i)\/i*i)\/i*i))\/(i*i*i\/(((i\/(i*i\/(((i**(-5)*i)\/i)\/i*i)))\/i)\/i))*i**(-8\/7)\/i*i**(-2)*i assuming i is positive.\nAnswer: i**(-2424\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*(10 + (-45)\/9). What is the greatest common factor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 17 + 7)*(50 - 2*d**2 + 5*d - 50) to the form w*d + v*d**2 + j and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 170, 153, 116, 53, -42, -175?\n\"Answer: -b**3 - 4*b**2 + 2*b + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1930*c**2 - 1851*c - 1858*c + 5572*c - 1863*c.\nAnswer: 1930*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6599*s**2 - 14768*s**2 + 8174*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 b when three letters picked without replacement from iiibjijgjigb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2796615 to 3 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.9 - 9. Let x = -7\/96 - 3\/32. Which is the closest to y? (a) x (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -5. Let v = -9.1 + 9. Which is the nearest to -1? (a) v (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9563362 take away -5?\nAnswer: -9563357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615173 is divided by 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -196, -295, -394?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/204 and 75\/28.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**2*s**2 - 2*k**2*s - 12*k**2 + 5*k*s**2 + 36*k*s + 2*s**2 - 2 wrt s?\nAnswer: -52*k**2 + 10*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 1. Let a = -6 + z. Solve -n + 5*t - 8 = -a*n, n + 2*t = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2492167 is divided by 2299?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*b - b - 5, -4*b + 12 = 4*y. Let d be -6*(-1)\/2 + 0. Solve 16 = -d*f + y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 2*r**2 - 5*r**2 + (-2*r**2 + 2*r - 2*r)*(6 + 18 - 6) + 3*r**2 - 6 + 6 + (-2*r + 3*r - 4*r)*(r - 3*r + r).\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -60170a (base 11) in base 6?\nAnswer: -32431434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 115?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17364429 divided by -37831.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 2.5. Let o = -6.1 + 6. What is the closest to d in 5, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -5.2. Let g = d + 2.8. Which is the closest to g? (a) 0.1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*n - 21 = -10*n, s - 2*n + 3 = 0. Let g be s*(-2 - -1) - -3. What is the tens digit of (1 - g - 65)*(-2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (672\/264)\/(-14) + 431\/11. Put z, -4, -1, 5 in decreasing order.\nAnswer: z, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6653, -6713, -6773?\nAnswer: -6833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151.8 and 117820.\nAnswer: 17885076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 20 = -5*t - 2*y, -3*t + 35 = -5*y. Let g(d) = 5*d - 2. What is the tens digit of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*l - 3 = 0, 0 = l - 2*l - 3. Suppose 76 - 15 = r*h + 5*k, 3*h - 4*k = 69. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53034 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 7*o + 2. Let u = -219 + 214. Determine i(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 62. Let z(r) = -9*r + 1 - 7 + 0. Let d(m) = -m - 1. Give s*d(f) + z(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 228.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112229669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(3 + -2) - 1. Suppose 5*g - 31 = -8*c + 9*c, g - 5*c + 13 = 0. Put g, 5, z in descending order.\nAnswer: g, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a second in milliseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1514073\/8 or -189260?\nAnswer: -189260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9884 and -4506?\nAnswer: -44537304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138087752 and 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 - 165 = 4*p. Solve -2*d + 0*y = -2*y + 4, 0 = -2*y + p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i - 93 = 30. Put 0, i, 61 in descending order.\nAnswer: 61, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5300595 and 23172?\nAnswer: 21202380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11 - 1 = 0. Let c(w) = -1 + 3 - w + j. Let l be c(-6). Solve u + l = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(500) + sqrt(5) + -4 + sqrt(60)\/sqrt(12))**2.\nAnswer: -72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*((-4)\/(-2))\/(-6) + (-1145)\/(-916).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2992 + 2690 - 379 - 5*g.\nAnswer: -5*g + 5287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2\/(-6)*-3. Suppose -f*n = 3*n - 30. Calculate the lowest common multiple of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3607007273?\nAnswer: 53, 68056741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8)*(-8 - (-164)\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -8*v - 8. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -w. Let g = w + 3. Is g < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/3 - 2*f**2 + 8*f\/3 = 0. What is f?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7624162 + -7624175.257716. Let m = 0.54256 - f. Let d = m + -13.8. What is d rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3045, 12251, 27621, 49161, 76877, 110775?\nAnswer: 150861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 26 + 88. Suppose -5*y + d = z, -8 = -y - 0*z + 2*z. What is the greatest common factor of y and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 3*l - 7. What is the tens digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 + 1. Let a(f) = 674*f**3 + 4*f**2 + 5*f. Let x(l) = a(l) - 4*n(l). Is x(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/8 and 61\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -269, -300, -341, -398, -477?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 53*c - 52. What is n(14)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653467 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(187) - sqrt(187)*2))\/sqrt(11)*4 - (sqrt(153) + 4*sqrt(153)*2)\/(sqrt(54)\/(sqrt(18)\/sqrt(3))))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 400545*l + 2.\nAnswer: -400545*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 3, 5, -5 in descending order.\nAnswer: 6, 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-4))\/((-321)\/749*7\/6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*n - 83*n. Solve n = d + d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/40)\/((18\/1900)\/((-10)\/(-50))).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 697349459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -2*r**6\/45 - 2*r**5\/45 + r**4\/18 + r**3\/9 + 7*r**2. Determine p so that b(p) = 0.\nAnswer: -1\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 - 7*c + 5. Let k be n(5). Let a(p) = p**3 + 5*p**2 + 4*p + 2. Let i be a(k). Let r = -3 - i. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/30)\/((-2)\/10). Let b = 46\/5 + -536\/55. Let q = b - -29\/33. What is the nearest to 1\/3 in q, t, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1096942 and 952?\nAnswer: 4387768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 545485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5162259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2003 = 4*f, 60 = k + 4*f - 621. Solve 664*l - 6 = k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 11*p**2 + 5*p**2 + p**2 + 5*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 12300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48628 + 52981.6. Round m to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyiy. Give prob of picking 2 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 - -4.2127. Round y to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*z**2 + 3*z**3 + 385*z**2 - 811*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r + 4. Let j be t(-3). Suppose q = -q - 10, 2*b + 4*q + j = 0. Solve 2*s = -3 - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11396 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 6)*(-2*a**5 + 5 - 5) - 60*a**5 + 7*a**5 - 980*a**4 + 977*a**4.\nAnswer: -67*a**5 - 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/8)*93\/124\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -5*o**7\/42 - o**6\/6 - 85*o - 73. Let p(n) be the first derivative of g(n). Factor p(x).\nAnswer: -5*x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2 + (65\/7 - 9))*21. Solve -4*g = v*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p - 83 = 3*c, -4*p - 4*c = 308. Let u = 0 - 0. Find the common denominator of (p + u + -3)\/4 and -41\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6874 times -0.0885\nAnswer: 608.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(63) - (2*sqrt(378))\/sqrt(6)))**2*-1 + 2 + -3*sqrt(567) + sqrt(63).\nAnswer: -24*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7256 + 7232 = 2*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 39*a**2 + 3 + 37*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440160962.\nAnswer: 2, 1220080481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2135 + -0.09?\nAnswer: -2135.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 554.1901 days?\nAnswer: 47882024.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0203359 to 4 dps.\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*p - 630*p + 32105 = 4802. Let b(o) be the third derivative of -19*o**4\/12 - 2*o**2. Let f be b(-1). Calculate the highest common factor of f and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54\/623 - 1005\/9968. Which is the nearest to 0? (a) -1 (b) 0.2 (c) 1\/3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n. Let b(g) = -40311*g. What is r(b(i))?\nAnswer: -322488*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:33 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310296, -620604, -930932, -1241292, -1551696?\nAnswer: -1862156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 330395*y - 6. Give a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001012 - -12?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(0 + 3 - 2)*(3*i + 4*i - 4*i)*(-3 + 6 - 2).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*p - 2*t, -p - 7*t = -3*t - 21. Let k(h) = -3*h**2 + 2*h - 2. Let s(m) = 2*m**2 - m + 1. Let v(q) = p*s(q) + 3*k(q). Determine v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, j: 2, g: 1, b: 5, m: 3}. What is prob of sequence ajg?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*c**3 + 2*c + 4*c - 3*c**2 + 4*c**2 - 4*c.\nAnswer: -602*c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 10:19 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 3*w**2 - 6*w - 5*w - 5*w**2 - 3*w**3 - 98.\nAnswer: -4*w**3 - 2*w**2 - 11*w - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d. Let h(j) = 24*j**2 - 5*j - 74. Let i(r) = -h(r) + 5*n(r). Differentiate i(l) wrt l.\nAnswer: -58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61, -252, -709, -1564, -2949?\n\"Answer: -22*b**3 - b**2 - 34*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (1 - 2)) + 376 + 16?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 11*r + 49. Is l(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -68. What is the highest common divisor of 48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let n = -47 - -44. Let x be (-2)\/(-2) - 0\/n. Solve w = 4*i - x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 2*j - j)*(j + 0*j + 0*j) - 2842*j**2 - 2836*j**2 + 5671*j**2 - 254*j to o*j**2 + b*j + k and give b.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 50*j. Let s(d) be the third derivative of -4*d**5\/15 - 2*d**2 + 52. Give s(l(y)).\nAnswer: -40000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785*q - 545*q - 290*q = -271*q - 13490 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816135, 816136, 816137?\nAnswer: 816138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -5*n**3\/3 + 3*n**2\/2 - 3*n - 13. What is i(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1229766689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000237819 to seven decimal places.\nAnswer: -0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 1, 7319382, -3 in decreasing order.\nAnswer: 7319382, 3, 1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 0, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmh when three letters picked without replacement from mykmknmmwnmmymh.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 19*n**3 + 2104*n**2 + 24*n + 45. Let v(l) = 9*l**3 + 1039*l**2 + 12*l + 23. Let x(u) = 13*v(u) - 6*z(u). What is the second derivative of x(o) wrt o?\nAnswer: 18*o + 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 3\/2 (b) -2\/39 (c) 2\/13 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s = 12. What is the smallest common multiple of s and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 5 + 9242*q.\nAnswer: 9242*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*r**3 + 34*r**2 - 8*r**2 - 37*r**3 + 182*r**3.\nAnswer: 72*r**3 + 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 26*r**4 + 5*r + 68. Let o(t) = -t**4 + 2*t + 1. Let g(q) = -b(q) + 3*o(q). Find the first derivative of g(p) wrt p.\nAnswer: -116*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 265831 + -3?\nAnswer: 265828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5313*i = -1720*i - 394526 - 245477 for i.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 56 = j, -52*d - 4*j = 14*d + 186 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, u: 1, r: 1}. Give prob of sequence ar.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0, 4, -28 in ascending order.\nAnswer: -28, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 39 = -2*t. What is the third derivative of 385*u**6 - 372*u**6 - 4*u**2 + t*u**2 - 41 wrt u?\nAnswer: 1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377380 (base 9) in base 13?\nAnswer: -80004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11891?\nAnswer: 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54149 take away -258068441?\nAnswer: 258014292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0.026 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10598575 - 4?\nAnswer: -10598579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*k**2 - 29*k**2 - 41*k**4 + (1 - 1 + 2*k)*(k**3 - 4*k**3 + k**3) - 44*k**4 + 17*k**4 + 23*k**4.\nAnswer: -49*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 13*i**2 - 101*i + 18. Let c be h(12). Suppose 18*b + 642 = c. Find v, given that 0*v - 2\/5*v**4 - 1\/5*v**5 + 1\/5*v**3 + 2\/5*v**b + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150\/153*(-519)\/865\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -615, 102 in decreasing order.\nAnswer: 102, 23, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 14115116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-6)*1\/(-11)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 - 2*f)*(-2 + 0 + 1) + (-5*f + 2*f + 2*f)*(-16 - 12 + 5).\nAnswer: 25*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 406 = 5*b - 354, -i = -b + 156. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/2)\/x**(2\/23) assuming x is positive.\nAnswer: x**(-27\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 1 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 691*u**3 - 8191*u**2 + 15664426*u?\nAnswer: 4146*u - 16382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-7 - -18 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (-12 - -8) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*q = 4, 3*w + 10 = w + 5*q. Solve 4*r - r - 9 = w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l, 0 = 2*f - 4*l + 148. Let w be 22\/55 + 697\/(-5) - -5. Let m = 61 + w. Is f not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42021, -84042, -126063, -168084, -210105?\nAnswer: -252126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*s - 5 - 9 = 0, -s + 42 = -3*n. Let c be (-4)\/14 + 4 + (-4)\/n. Is c - (-205 + (-12)\/3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 694 in -0.3, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/84 + 3\/(-9) + 0. Which is bigger: m or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 7 = -4*f + 1, -2*f = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0994409 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s + 3*s - 3*s + (5*s + s - 5*s)*(1 - 1 + 4) + s - 6*s + 3*s as y*s + t and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g + 8. Let y be k(6). What is the highest common factor of 200 and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/(6\/(-19)) - 7). Sort -71, 1, g, 2.\nAnswer: -71, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76149435?\nAnswer: 3, 5, 19, 23, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + 0) - (-150 + 146).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1)*c))**(-2\/69))**(-18\/11) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 7 - (38 + -44 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgx when three letters picked without replacement from {g: 2, b: 1, x: 2, k: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 111. What is the closest to -1\/2 in -1\/3, -5, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 - 59 = -3*k, -5*k + 3*l = -89. Let u(r) = k*r - 5 + 8*r - r**2 - 19*r. Let z(m) = -m**2 + 4*m - 4. Determine 6*u(d) - 7*z(d).\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3*i**2\/2 - 4*i - 3. Suppose 7*b + 12 = 2*j + 3*b, -b = -4*b. Calculate f(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t - 25 = 0. Let f(p) = -p + 7. Let l be f(t). Factor -4*b - 16*b**3 - 4 + 6*b**4 + 4 + 14*b**l.\nAnswer: 2*b*(b - 1)**2*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h. Let y(p) = 141*p + 95. Calculate j(y(w)).\nAnswer: -846*w - 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 1. Let g(t) = -t**3 - 4*t**2 - t - 5. Let m(h) = -2*h + 2. Let c be m(2). Let j(u) = c*w(u) - g(u). Let f = -8 + 2. What is j(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113096?\nAnswer: 2, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194805971?\nAnswer: 3, 1721, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7432.858l?\nAnswer: 7432858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, 1376, 12, 0 in decreasing order.\nAnswer: 1376, 12, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*c = -2300 - 6140, -5*c - 3391 = -2*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Let n be (-3 + 0)\/(6\/(-8)). Suppose n*q = 3*s + 95, 0*s - 91 = -4*q - s. Solve f = -2*g + 7*g - 3*c, g + 4*c = q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 2, o: 4, x: 4, i: 3}. What is prob of picking 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g**3 + g - 4 + 50*g**3 - 27*g**3 - 17 to the form q + t*g**2 + r*g**3 + o*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109561635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 16. What is i(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = -4*m, 271*m - 126*m - 147*m + 14 = 6*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 2*v**9\/63 - 53*v**5\/60 - 2*v**2 + 25*v. What is the third derivative of m(f) wrt f?\nAnswer: 1920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6787 is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33426067.0000013 - 33426061. Let z = w + -6. Round z to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 269?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -7. Let i(s) = -s**3 - 3*s**2 + s + 4. Let v be i(-3). What is the smallest value in -0.4, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - -113. Suppose 5*y = -5*d + 305, w = 3*y + d + 76. Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 12\/10006933?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4aa7 (base 11) in base 3?\nAnswer: -100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - y**2 + y + 2. What is s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t + 64. Is 4 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6684)\/12254 + 512\/(-110)?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, -6, 3 in descending order.\nAnswer: 5, 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 0 (c) 1 (d) -585.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 101\/11 - 8\/44. Let i be (-7)\/(14\/(-10)) - d. Let x(u) = -6*u - 24. Let v be x(i). Which is smaller: -0.3 or v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, d: 3}. Give prob of sequence zd.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(8\/7)\/d)\/d))\/(d\/(d**(-22)*d))*((d\/(d\/((d*d**7)\/d)))\/d*d)\/(d**(-17)\/d))**(2\/57) assuming d is positive.\nAnswer: d**(68\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 63?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 7866 = 161*b + 267*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/1139 (b) -0.2 (c) -761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-28)\/30)*(-1)\/(-5). What is the closest to -1\/2 in 0, i, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3164.9, 14.5, 0.1 in increasing order.\nAnswer: -3164.9, 0.1, 14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:20 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 40*m - 68. Let o be t(3). Suppose 98 = 5*n + 3*l + l, 3*n - o = l. Solve -2*z = 7*z - n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unu when three letters picked without replacement from ubeuenueuuuut?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 5*w - 1. Let j(n) = n**2 + 8*n - 2. Determine -5*f(h) + 3*j(h).\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64\/57 + -4\/19. Sort n, -2, -0.08 in increasing order.\nAnswer: -2, n, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*j**4 + 0*j**4 - j**4 - 8*j**4 + (-4*j**2 + 2*j**2 + j**2)*(0*j**2 - 4*j**2 + 5*j**2).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 172\/5. Let i be (-6)\/2 - (-36)\/16. Put i, t, 3 in decreasing order.\nAnswer: 3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 10:35 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 852279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -81 - (-22 + 8 - (5 - (8 + 6)))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11015209.8 minutes to weeks.\nAnswer: 1092.77875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l. Suppose -b = -2 - l. Let d(j) = 2*j + 1. Is d(b) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-3823495.\nAnswer: -72646405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 548, 836, 1140, 1466, 1820, 2208?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 824360*c**5 + 4*c**4*k**3 + 60*c*k - 8*c - 205*k**3 - k**2 + 2*k wrt c.\nAnswer: 16487200*c**3 + 48*c**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -92527?\nAnswer: -1850.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 5. Let c be x(-4). Let a = c - -3. Calculate the common denominator of 1\/a + 112\/(-12) and -28\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 7*p. Determine b(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6735 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 5*m - 22, 3*h - 5*h - 31 = -5*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)*u*u\/(u*u\/(u\/u**(3\/5))))\/(u*u**(2\/3))**(2\/11) assuming u is positive.\nAnswer: u**(42\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**3 - 18*s**3 + 0 + 6*s**4 + 3*s**5 - 4*s**4 - 2 + 7*s = 0. Calculate s.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 535*n**5 - 60*n**4 - 11770*n**3 - 11520*n**2 + 25515*n - 2700 = 0.\nAnswer: -3, 12\/107, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23\/2 of a decade?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l - 12. Calculate the remainder when q(8) is divided by 9 - (-4)\/(-6)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 4154 (c) -4 (d) -1 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 551 = -47. Suppose -h = -42 - s. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + z + 2502. Let h be n(0). Suppose -33*s + 39*s = h. What is the remainder when s is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4120\/172 + -4 + 197 + -217.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2, 0.02007, 563 in increasing order.\nAnswer: 0.02007, 2\/13, 2, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*u - 34 = 0, 3*u - 7 = 4*v + 4. Let r be 300\/(-5)*6\/v. What is the common denominator of -103\/20 and (-538)\/r - (-2)\/(-8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282020 and 295?\nAnswer: 282020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3159539.4 to the nearest one thousand.\nAnswer: -3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 20, 3*l - 17 = -r. Factor 3*z**4 - 5*z**4 - 1 + z - z**3 + 0*z**r + 3*z**2.\nAnswer: -(z - 1)*(z + 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**2 - 5*f - 4. Let d be m(-1). Let b(w) = w**2 + 11*w - 5. What is b(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.352 + 333.648. Let s = -335 + f. Let w = 3 - 3.5. Put s, w, 3, 2\/5 in increasing order.\nAnswer: s, w, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27842 + -27847. Let i(y) = -73*y**2 + 9. Let m(o) = -182*o**2 + 22. Give r*m(j) + 12*i(j).\nAnswer: 34*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612512079 less than 14?\nAnswer: -2612512065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 5\/16, -1\/14, 1, -4?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/10 in -6, -4\/7, -1\/4, -0.4, -0.5, -689?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399684 divided by -1753.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 - -2.7. Which is the third smallest value? (a) l (b) -0.4 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*i*j**3 + 13*i + 2*j**3 + 7*j**2 wrt j?\nAnswer: 426*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 269b45?\nAnswer: 269b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -224\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(208))**2.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/14 + 6\/21. Suppose -w*x + 4 = -0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 2*b**2 - 1. Let x be u(-2). Suppose -4*o + 5*w + 1973 = 0, 5*o + 45*w - 2450 = 48*w. Let m = 10229\/21 - o. Is x smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -3. List the prime factors of x\/(-12)*(-36)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 10*t - 2*t**2 + 9*t to the form m*t + n*t**2 + b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170672997*j**2*l + j*l - 133*j - 3*l - 8435 wrt j.\nAnswer: -341345994*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 6.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7*v = 16. Let g be v\/(-3) + 4\/12. Suppose g*q - 214 = 14. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/7)*p**(-4\/5))\/((p**3*p*p*p)\/p**(1\/6)))\/(p**(-3)*p*p**4*(p**(-1\/2))**(-2\/7)) assuming p is positive.\nAnswer: p**(-1723\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 975 + 921. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 88 = -16. Let j = n - -24. Suppose k = -4*i - 31 + 19, -5*k = -i + 18. Put j, i, -1 in decreasing order.\nAnswer: j, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -4, 3, 7419178 in ascending order.\nAnswer: -4, 0, 3, 8, 7419178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - d**2 - d - 1. Let a be i(-1). Suppose -2*f + 4*p = -14, 0 = 3*f + p - 2*p - 11. Solve 0 = 4*x + c, 0*c - f*c = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**2 + 63*y - 8. Let o(l) = -l**3 - 38*l**2 + 85*l + 182. Let i be o(-40). What is the hundreds digit of h(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/5 - 24826*y**4\/5 - 298366*y**3\/5 + 2061914*y**2\/5 + 7901852*y\/5 + 1113280 = 0.\nAnswer: -16, -2, -1, 7, 12425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 7358.\nAnswer: 7364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 6\/5 (b) 0.077 (c) 5 (d) 47.9 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 22*n - 2215 = 0. Let j = n + 3182. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + k**2 - 6 - k. Let q be m(0). Let g = -1 - q. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - -1) + (55 - 45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3465*s**2 + 3447*s**2 + 2664*s**2)*(0*s**2 + 3*s**2 - 2*s**2) - s**4 - s + 0*s + 2*s**4 - s**3 to n*s**3 + t*s**2 + x*s**4 + r + l*s and give x.\nAnswer: 2647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/6)\/((-2)\/84*3). Let l = 119 + n. Let j = l - 69. Solve -3 - j = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158859.49 + -159547. Let y = 1082 - 398. Let v = u + y. Round v to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -108667*o**3 + o**2 - o - 1. Let v be r(-1). Let b = 179834 + -104966. Let j = b - v. What is j rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = 12*a - 1672. Let t = 188 - a. Solve z + p + 5 = 0, 4*z + 2*p + t = -0*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 22*h - 11. Let f(c) = -c + 10. Let k be f(10). Let z be -1 - -8 - 1*(2 - k). Is 16 a factor of w(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:30 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 c when four letters picked without replacement from cccauuccu?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:38 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -14*u**3 + 931*u**2 + 12564*u - 469. Calculate d(78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f + 24. Suppose -4*l + 44 = 2*w - 0*l, -16 = -w + 4*l. Let p = f + w. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:20 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - d + 14*d + (4*d + 3*d - 4*d)*(-1 - 4 + 0).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12512 take away 19988?\nAnswer: -32500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-36)*184\/345?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from dvaadvbaudkaukakkdb.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 2*m**2 + 4*m + 541. Does 7 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 2\/11757, 10 in decreasing order.\nAnswer: 10, 1.2, 2\/11757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-532)*(-4)\/(-8)*19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(425) + 1)*-2)**2*2.\nAnswer: 720*sqrt(17) + 30672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.615 - -0.315. What is the closest to -8 in 2, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*y**3 - 84 - 2*y**4 + 21*y**3 - 58*y**3 + 16*y**3 + y**4 + 2*y as r*y**4 + j*y + k*y**2 + d*y**3 + w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 4*t - 2. Let m = 2 - 5. Suppose -42*h - 16 = -38*h. Let d(y) = -2*y**3 - 3*y + 2. Calculate h*d(q) + m*n(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 402316?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*m**4\/2 + 20*m**3 - 52*m**2 - 48*m + 72 = 0. Calculate m.\nAnswer: -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 4. Suppose -233 = 2*u - 223. Let f(y) = y - 5. Let m(s) = -3*s + 7. Let p(x) = u*m(x) - 8*f(x). Let r = 4 + -6. What is r*p(a) - 3*l(a)?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634550.\nAnswer: 2, 3, 5, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 849 + -850. Is 3\/98 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - v - 7 - 6, 11 = -j + 4*v. Let x = 25 + j. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*c = -658*c - 4810 - 5195 for c.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22438 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f**2 + 41381607*f + 11823318 = 0. What is f?\nAnswer: -2\/7, 1970553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9330.8 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 25*r**2 - 85*r - 19. Let y be f(-28). Suppose 0 = 4*o - 18 - 18. Let k = o + y. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 286719235 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 4.\nAnswer: 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 3*i - i**5 + (-2*i + 0*i + 0*i)*(-i**4 + 2*i**4 - 2*i**4) + i**5 - 2*i**5 + 2*i**5 - 4*i + i**5 + 4*i.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(475)*2 + -3 + sqrt(475)*-2)*3 + 4)**2.\nAnswer: 960*sqrt(19) + 68464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/20 + 691*y**3\/10 + 681*y. Factor c(g).\nAnswer: 3*g*(g + 691)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -3, 4485 in descending order.\nAnswer: 4485, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*t**2 - 6 + 7*t**2 - 2*t + 4 + 4 in the form q*t**2 + m*t + b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:02 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from kikg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -2*v, 2*x - 20 = -2*v + 6*v. Let m = -834 - -464. Let g = m - -371. Put -0.05, g, x in descending order.\nAnswer: x, g, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -3\/4 (c) 4\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 51. Suppose 2*o = -2*h - 2, o - w = -4*h - 3. Suppose m = -5*t + 1, h = 5*t - 5*m + 2*m + 3. Solve 4*v + 20 = t, 8 = -s - v - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413442002 (base 5) in base 8?\nAnswer: 6375540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6 and -59\/4210.\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12252 + -12247. Let p(y) be the first derivative of -1\/2*y + 5\/8*y**2 - 1\/4*y**3 + 1\/20*y**b - 1\/16*y**4 - 15. Let p(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 1100558?\nAnswer: -1100554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - -72.92?\nAnswer: 72.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5187 divided by 30\nAnswer: 1729\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 4*f - 54 - 39 + 138.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 - 85 = 4*k, 119 = -5*k + 3*g. Let q = 26 + k. Suppose 4 = m - q. Solve 2*l + 10 = w, -m*w = -3*w - 4*l - 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c. Let j(m) be the first derivative of -9*m**3 + 25. Determine j(k(l)).\nAnswer: -675*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -2. Let d(c) be the third derivative of c**5\/30 - c**4\/8 - 7*c**3\/3 - c**2. Let n be d(i). Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (-6 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.1 take away -565.5?\nAnswer: 439.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-3\/17)*l)\/((l*l**(-19)*l*l)\/l)*(l\/(((l**(2\/31)*l)\/l)\/l*l))\/(l\/((l**(-13)\/l)\/l)) assuming l is positive.\nAnswer: l**(2508\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236342819, 472685646, 709028475, 945371306, 1181714139, 1418056974?\nAnswer: 1654399811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p - 1. Let x(b) = -4*b**2 - 4*b + 7. Suppose -v + 2*v = 4*k - 9, -5*v - 28 = -3*k. Determine k*x(n) + 5*m(n).\nAnswer: n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 303297 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 161582\nAnswer: -1\/80791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*g = -109 - 39, -5*a + 234 = 2*g. Calculate the remainder when 75 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254*m - 276*m - 441*m)*(3 + 2*m + 0*m - 2).\nAnswer: -1942*m**2 - 971*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*i - 508, g + 3*g = 4*i + 508. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 1509, 4793, 11179, 21699, 37385, 59269, 88383?\nAnswer: 125759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.26 + 16.8. Let s = 2.86 + f. Which is the second smallest value? (a) -3 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + 103*s - 71. Give o(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*x - 491 = -1809 - 698 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 119*f**3\/2 + 346*f. Let o(y) = -y. Determine s(o(a)).\nAnswer: -357*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 951, 2158, 3863, 6072, 8791?\nAnswer: 12026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 32, 28, 24?\n\"Answer: -4*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t**10*(t*t**(1\/3))**(-3\/16))**11 assuming t is positive.\nAnswer: t**(737\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/56)\/((-4)\/(-2096)). Which is bigger: o or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068 times -13.2?\nAnswer: -0.08976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 4*n - 47, x = 208*n - 420*n + 218*n - 1 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 2, b: 1, w: 1, q: 4, m: 1}. What is prob of picking 1 b and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + c + 0*c)*(410918 - 25*c - 410918).\nAnswer: -25*c**2 + 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 2. Let q(v) be the third derivative of -5*v**4\/8 - 5*v**3\/6 + 6*v**2 - 2*v. Let r be 18\/5 + 12\/30. Give r*q(h) - 9*b(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + u + 9. Let v(r) = -r**2 + r + 8. Determine 6*q(l) - 7*v(l).\nAnswer: -5*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s + 6. Solve -3*o + 4*o + s = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 4*u - 576. Let t be (6\/(-4))\/(18\/u). Suppose -3*b + 5*m - 2 + t = 0, m = 2. Solve 4 = g + b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q - 1. Suppose -2 = -c + 2*z + 1, 4*z = -2*c + 30. Suppose 6 - 15 = -c*i. Calculate the least common multiple of n(-2) and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 + 15521?\nAnswer: 16364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2912)\/(-140))\/(-26).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37016226 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 3*s**2 - 7*s + 7*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/11 (b) -0.3 (c) -6 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 67. What is g(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 13*i**2 + 34*i + 59. Let n be m(-8). Does n = 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32130)\/714*(-1)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 - 186*h + 414. Let u be v(-39). Solve -4*a - 4 = 0, -1 = -64*s + u*s + 4*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 17. Let x = 80 + k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5061 + 5065. Let j(l) be the second derivative of l**4\/12 + 7*l**3\/6 - 7*l**2\/2 - 3*l. Let y(m) = -m + 1. What is c*j(i) + 28*y(i)?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -15\/4 (b) 1\/10 (c) 4 (d) -1\/27 (e) 0 (f) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130121 by 130121.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 466725762 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b + 700 = 34*b. Let s = b - 474. Suppose -34 = 4*p - s. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 8*r**2 + 12*r - 6. Let w be m(8). Calculate the remainder when -10*(-2)\/w + (-1418)\/(-18) is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462507072 a multiple of 2568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 16. Suppose 9 = 3*j, -o*b - 2*j - 16 = 18. What is the common denominator of -95\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3*g + 224 - 189, -130 = -2*z + 28*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 166*r - 486*r**3 - 217*r + 63*r + 492*r**3.\nAnswer: 6*r**3 - 320*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a - 4*a)*(-a**2 + a**2 - 2*a**2) + 3*a**3 + 5*a**3 - 3*a**3 - 2*a**3 - 11*a**3 + 0*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = j - 6*j - 25, -j - 4*t - 21 = 0. Let a = -12 - -17. Let g be 3\/3 + 1 - -2. Sort a, g, j.\nAnswer: j, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2630187*o*q**6 + 2*o*q**2 + 773101*o - q wrt q?\nAnswer: -315622440*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 2*f - 1. Let r be w(3). Which is the third smallest value? (a) r (b) -5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 26 = 2*x - v, 3*x - 49 = -4*v. Let c(t) = 75*t**2 + 221*t - 2. Calculate the lowest common multiple of c(-3) and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/63 + (-90)\/(-630).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16*2\/13\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37668000 to the nearest one hundred thousand.\nAnswer: 37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrrsssrsrrrs. What is prob of sequence rss?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**3\/7 - 191656*f**2\/7 = 0?\nAnswer: -47914, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 23 + 7 = 0. Suppose -2 = 3*c - q. Calculate the smallest common multiple of c and 8\/(-6)*(-30)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -689*v**7\/42 + v**3\/6 - 371*v**2 + 1285*v. Find the second derivative of t(w) wrt w.\nAnswer: -13780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 - 3024\/140)\/((-1)\/15). Solve -b*o = -23*o - 7 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3740\/154)\/(-17))\/((-650)\/64610)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*u**3 - 279*u**3 + 84*u**3 + 16*u**2 as q + j*u**2 + h*u + w*u**3 and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.02, 0.3, -3\/4, -3 in increasing order.\nAnswer: -3, -1, -3\/4, -0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**3 + 39149608*m**2 - 39149604*m = 0.\nAnswer: 0, 1, 9787401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 281.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a hour in seconds?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662592793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -2 - 1467*o + 1470*o - 38*o**2 + 7*o**4 + 0. What is the derivative of k(r) wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00788013131 less than -7?\nAnswer: -7.00788013131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**3 - 16*i**2 + 85*i - 774. What is t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 82, 163, 276, 421, 598, 807?\n\"Answer: 16*q**2 + q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 90. Let g = m + 76. What is the closest to -2\/5 in 9, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -906950 divided by 2134?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 2 - 31*s + 30*s - 9 + 13*s**2. Let c be p(-13). Solve -3*x - 1 = 5*k, 2*k + 1 = x - c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12699470 rounded to the nearest one hundred thousand?\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 372\/(-90))\/3. Which is the second smallest value? (a) q (b) -0.4 (c) -3 (d) 2\/9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 62*f**2 - 325*f + 223. List the prime factors of u(-66).\nAnswer: 39097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 + -3.6. Which is the second smallest value? (a) -3 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-135)*21 - (-28)\/21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 37646.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -11 - -3) + (-2 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = -56. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2 + (-10)\/(-4)). Sort 1, r, 3 in decreasing order.\nAnswer: 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 217e8 - 153?\nAnswer: 21695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:52 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*c + 51, -p + 0*c + c + 12 = 0. Let u = -3 + p. Suppose u*g = 9*g - 30. Solve 1 = s + 4*t - 6, 4*t = 2*s + g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 86133?\nAnswer: 430665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**3 + 580*y**2 - 1365*y - 1. Calculate x(62).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-14))\/(-2) - (-2375)\/175. Suppose -g*l = -15*l + 260. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 + 9*g**2 + 223*g - 1539. What is z(7)?\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*w + 8, 4*w + 2 = -5*t - 6. Suppose 4*k - 20 = -t*k. Suppose 0 = 2*q - 2, 3*v + 5*q = -k + 13. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8040\/((-120)\/9500*(-2)\/(-16)). What is h rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 261 + -16?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.5156792 microseconds in weeks?\nAnswer: 0.00000000010667275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.1889 * 3\nAnswer: 51.5667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 490*k. Let g(u) be the first derivative of 2*u**2 + 412. What is n(g(q))?\nAnswer: 1960*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 41579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5*x + x)*(-6 + 1 + 0) - 2 - 28 + 2*x + 6.\nAnswer: -18*x - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10866 at least as big as 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -43.70051?\nAnswer: 48.70051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose -h*b = -b. Suppose 0*m = -2*m - 3*i + 99, b = 4*i + 12. What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(70)\/sqrt(2) - sqrt(35)) + sqrt(2835)*-1)\/(sqrt(847) + sqrt(847) + (sqrt(847) + sqrt(847)*4)*4).\nAnswer: -9*sqrt(5)\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55\/(-22) + (2380\/(-8) - -1). Let a = 2695\/9 + c. Put -2\/3, -2, a in descending order.\nAnswer: a, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3529 - -5278. Suppose -t + 2*i = -3*i - 583, 0 = -3*t + 4*i + h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109\/444 - 6\/37. Let s(f) be the first derivative of -1\/8*f**4 + 0*f + 0*f**2 + t*f**3 + 1. Let s(m) = 0. Calculate m.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*j + 864*j + 2985 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 269513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408971 divided by -3.\nAnswer: -408971\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.79 - 0.1.\nAnswer: -102.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 907*s - 1812.\nAnswer: -(s - 1812)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - n)*(34 + 2*n - 34)*(7*n - 37*n - 8*n)*(1 + 1 + 0)*(3 - 1 - 4).\nAnswer: -608*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from wxqqoxxqdxzw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 40*g - 390. Calculate i(-27).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*z**3 + 3*z - 7*z**2 - 14*z + 11*z to the form q*z**2 + a*z**3 + f + y*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -15*b. Let u(k) be the first derivative of -46*k**2 + 3855. Give u(f(g)).\nAnswer: 1380*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 767, 867, 993, 1145, 1323, 1527?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(28\/(-6)))\/(211\/(-1477)))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/2*(0 + 8\/(-18)). Suppose -2*m - 3*h + 6*h = -1989, -p*h = -m + 995. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*n + 4*v, 7*v - 2*v = 4*n + 27. Let s be (-4 - n) + 1 + 1. Let k be (12 - 72)\/((-4)\/s). Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 154, 155, 156, 157?\n\"Answer: v + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1550552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -11. Let j = l + 8. Solve j = 5*a - 0*q - 3*q, -4*q = 2*a + 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-198)\/(-48))*(-1)\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5*g + 23*c**2*g**2 - c**2*g*x**2 + 2*c*g + 699*g**2*x - 2*x**2 wrt c.\nAnswer: 20*c**3*g + 46*g**2 - 2*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630278, 2521119, 5672520, 10084481?\nAnswer: 15757002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15322 + -15050. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243876 + -244152.366. Let b = 276 + l. Let h = 0.3829 + b. What is h rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, -289\/5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.08 (c) 4 (d) 0.9 (e) 1\/16 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 - (12 - 3). Let x be (h\/6)\/((-20)\/(-15)). Let q be 4\/(-15) - (-2)\/(-5). Which is the closest to -0.1? (a) x (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 46*s - 196 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 5, b: 7, c: 4}. Give prob of sequence cc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 394 and 1652633.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*j = -301*j + 176 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 10862*p - 10862*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 31 + 91 = 0. Let o(w) = -w**2 - 11*w + 15. Let f be o(y). Suppose f*b + 0*b - 273 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o - 6 - 81*o + 6 + 7*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 + 11*v**2 - 9*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -351, -549, -785, -1059, -1371?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/60 - y**2. Let l = -10 - -17. Let h(k) = 7 + 0*k + 3*k - l. Calculate r(h(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312501175.\nAnswer: 5, 7, 71, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.16637+-31385999\nAnswer: -31386000.16637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -552 - -548. Let b(o) = -17*o**3 - 4*o**2 + 11*o - 1. Is b(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2743*t**3 + 3773*t**2 wrt t?\nAnswer: 16458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6 - (-1 + 3)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let t = 1.93 + 0.07. Let u = -3 + 3.2. Which is the nearest to w? (a) u (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53465\/9 - -5941. Sort 1\/10, v, -0.26, 4 in increasing order.\nAnswer: -0.26, 1\/10, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(6 + 5) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(252) + -1)*1)*1 - (5 + -3*(2 + sqrt(252) + -1))**2.\nAnswer: -2272 + 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.805 - 5.81. Let n = y + -20. What is n rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**4 + 5525*h**3 + 1534445*h**2 + 4454835*h - 27324090 = 0?\nAnswer: -551, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6097 + 6099 = 4*a - 2*f, 0 = a + a - 3*f - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80\/7 - 254\/21. Which is the closest to 0.28? (a) 4 (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1229, 4, -2, 0 in increasing order.\nAnswer: -1229, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334.447 - 334.39. What is the nearest to -1\/8 in 1\/7, -5\/2, l, -4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 12 = -4*r, 2*c = -51*r + 46*r - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(5)*2 - (sqrt(5) + (1 + sqrt(5))*-2 + -5).\nAnswer: 3*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.470869 nanograms?\nAnswer: 0.000000000005470869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -4*v - 0*t, 4*t = -3*v - 8. Suppose v*w = 5*n + 3*w - 45, 0 = -n + 2*w. Calculate the remainder when 179 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + 1\/(-1)*3. Suppose w + 1 = 7*v. Solve 4*n - 29 = -3*a, a = -v*n - 0*a + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346313 is divided by 481.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(102)*4)\/(3*1*sqrt(6)) + 0 + -1.\nAnswer: -4*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 296 - 122 = 0. What is the remainder when ((-240)\/(-28))\/(-2)*-7 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907564617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26368738?\nAnswer: 2, 11, 277, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1\/(-2 - -1). Let x = -389\/2 - -196. Which is the closest to 1\/3? (a) -2\/7 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**2 + 259*p**2 - 37*p**2 - 176*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12284 - 28986 = -542*r - 620 for r.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, j: 1, i: 2, n: 3, z: 4, b: 1}. What is prob of picking 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -1)\/(1 - 2). Suppose -7*b - 8 = -x*b, 5*n - 4*b - 18 = 0. Suppose 237*l - 330*l + 372 = 0. Solve -n*y - a = y - 2, l*a = y + 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5. Let x = 9 + y. Let p be 2\/x - 12\/(-7). Solve p*v - 4 = -3*g - 0*v, 5*g - 4*v + 30 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/90)\/(12\/(-20))*78\/45\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + 5 - 258*d + 710*d to w + y*d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1225\/(-350)*(-84)\/637.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let a(j) = -116*j**2 - 2*j - 5. Let m(y) = 226*y**2 + 3*y + 7. Let h(c) = -5*a(c) - 3*m(c). What is h(d(p))?\nAnswer: -392*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060231611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/208)\/((63\/7)\/18)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*c - 2 = 0, -2*c + 7*c + 5 = -5*o. Suppose o = 2*h - 2. Solve -4*d + 1 + 6 = -q, 0 = -d + h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -83*n + 3. Let p be f(1). Let b be 145*(p\/25 + 2). Let t = b - -467. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*o = 29 + 15, 0 = -2*y - o + 17. Let v be 3\/15 - (-3 - y\/(-5)). Solve -v*l + 4*l + 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0. Sort -6, d, 2, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2))**(-8)*w**7\/w**(1\/13))\/((w*(w*w*w**(4\/7)*w)\/w)\/w**(-1\/7))**(9\/2) assuming w is positive.\nAnswer: w**(-527\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/((-12)\/8 - 0). Let r be -4 - -50*(-4)\/b. Let c = 25 - r. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = -l - 54, 0 = -2*l - 4. Let v(c) = 2*c**2 - 4*c - 7. Let k be v(-2). Calculate the least common multiple of y and (k\/(-1))\/((-1)\/2).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 630 = -3*n + 239, -3*x + 3*n = -579. Suppose 28*h - 577 = -45. What is the remainder when x is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1349 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 + b - 7. Calculate c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/19316 and -35\/264.\nAnswer: 115896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 49. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 9:45 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*o + 64*o + 8084 + 16486. What are the prime factors of o?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116892 and 36?\nAnswer: 116892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -0.28, 103?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0139 in -2\/27, 2\/21, 1\/2, 1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -30*a**2 + 20. Let z(i) = 10*i**2 - 10. Determine z(q(b)).\nAnswer: 9000*b**4 - 12000*b**2 + 3990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-415)\/1660)\/((-24)\/(-128)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1841, 1852, 1877, 1922, 1993?\n\"Answer: k**3 + k**2 + k + 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92638 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:49 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -35, -58, -103, -188?\n\"Answer: -3*c**3 + 16*c**2 - 46*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 + 687*d**4 - 2079*d**3 + 2085*d**2 - 696*d = 0.\nAnswer: -232, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41823797?\nAnswer: 101, 414097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112)*-6 + -2*sqrt(112) + 3 + sqrt(112).\nAnswer: -28*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10182 + 1455770\/143. Let f = -18\/11 - h. What is the closest to -1\/2 in 2, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 204, -56, -772, -2172, -4484, -7936, -12756?\n\"Answer: -38*x**3 + 6*x + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 178?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:08 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-56) - (-1)\/4. Are 2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:07 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -289575, -289513, -289451, -289389?\n\"Answer: 62*b - 289637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*10\/(-3). Let h(v) = -42*v**3 - 250*v**2 + 19*v + 37. Let j be h(-6). Sort r, 71, j in decreasing order.\nAnswer: 71, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {c: 2, m: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*m - 3*m = 133, -4*p - 216 = 3*m. Is -52 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, 4, -18, 0.112, 34, -2, -0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 9467332?\nAnswer: -9467330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 + -41. Let t = 207 - r. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1944804 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-200)\/(-28))\/(-5))\/(-1)*(-5572)\/(-398).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 1682884, 4\/7 in descending order.\nAnswer: 1682884, 4\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -9 - 103. Let u be (-16)\/(-6)*(-21)\/d. Is 46 - (u + (4 - -3)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 divided by -3?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)*-7*-3. Let a = 520 + -183. Suppose 3*z = -22 + a. Calculate the greatest common divisor of z and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (3 - (-3867)\/(-3)). Suppose -7*z - 408 = -i. Suppose -2*q + 244 = 2*l, -l + z = -2*q + 7*q. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632\/(-3555)*5\/76.\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 59*y + 67. What is the hundreds digit of w(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*h)*(-2*h + h - h) - 5544*h + h**2 + 11120*h - 5565*h - 176.\nAnswer: 5*h**2 + 11*h - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 - 130. Let z be (-4)\/10 - (-68)\/m. Solve 0 = -v - z - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * -32.44.\nAnswer: 3698.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*1\/(-3 - -2). Suppose -z = 3*y - 20. Which is the closest to -1? (a) -1 (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98756523917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 greater than or equal to 3669\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(7\/5)))*f**(-3\/2))\/(f**(-6\/7)\/f**(-2\/19)) assuming f is positive.\nAnswer: f**(2197\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -93489*k**2 - 16. Let d(f) = f**2. What is q(d(s))?\nAnswer: -93489*s**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -694, -1041?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383545265.\nAnswer: 3, 5, 1319, 69929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1173174 and 5362.42?\nAnswer: 1167811.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 2 + 0 - 5*c. Let m(q) = q + 3. Let z be m(0). Suppose -3*y - 5*p = 20, 16 = y + z*y - 4*p. What is i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 3:29 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 421870266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-1 + (-5 - (-3 - -6)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - 4.3. Suppose -3*k = -8*k - 60. Let p = k + 16. Which is the third smallest value? (a) p (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 48, 51, 54?\n\"Answer: 3*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/4 + 16*h**4 - 185*h**3\/4 - 13463*h**2\/2 - 41811*h - 57330 = 0.\nAnswer: -13, -5, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.835853 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-25)\/((g\/g**(-10))\/((g**(-3\/14)\/g)\/g)) assuming g is positive.\nAnswer: g**(515\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165395)\/10446*6\/20.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729380?\nAnswer: 2, 3, 5, 19, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 12*z**2 + 2*z**3 + 8*z**2 - 4*z**3 - 30*z**2.\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7 - 2. Let q(x) = -x + 16*x**2 - 39*x**2 + 9*x**2 + 13*x**2 - 6 + 5. Let n(y) = 5*y**3 + 3*y**2 + 2*y + 3. Give h*q(z) + n(z).\nAnswer: 5*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 37. Suppose -2*s + 5 = -f, 2*f + o = -2*s + 5*s. Solve -4*k + 11 = 4*u + k, 10 = s*u + 4*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = 7 - 76 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 6*h**2 - h - 6. What is the tens digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20586 is divided by 216.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, -0.047, -2\/7, 17\/4, 0.09?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -657187.\nAnswer: 1577248.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*l**3\/6 + 10201*l**2\/6 - 4786*l\/3 - 110.\nAnswer: (l - 1)*(l + 330)*(31*l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Suppose 28 = 4*n - 4. Let o(m) = 0*m - n*m - 2*m + 3*m. Calculate o(r(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1397 and 77?\nAnswer: 9779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 95 + 276*d + 37)*(2 + 8 - 4 + 2*d).\nAnswer: 552*d**2 + 1650*d - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15606626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236195 and 707421.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 683.59 and 18826603.\nAnswer: 18827286.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-418 - -473) + 1 + -16 + -8\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 21. Solve 5*p - 3 = c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -963526, -1927053, -2890580?\n\"Answer: -963527*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(1 - 1 - 6*x)*(6*x - 4 + 5 + 1).\nAnswer: -72*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -442.3 - -444.431. Let h = d + -0.031. Let n = 3.1 - h. Sort n, -0.4, 1.1.\nAnswer: -0.4, n, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1818056323 + 1.27.\nAnswer: 1818056324.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 117 = 3*i, -3*i + 2*b + 49 = -2*b - 7 - 133 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 39, -3, -51?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*p + 13906 = -762 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -38 times 117.05\nAnswer: -4447.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11\/4)*v**(-4\/13))\/(v*v\/(v**(-8)\/v))**(2\/35) assuming v is positive.\nAnswer: v**(-6709\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:20 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6c7 (base 16) to base 9\nAnswer: -2337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4115964 is divided by 1814?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 7*t - 1. Let h be l(-7). Let x(k) = 14*k**2. Let n be x(h). What is the common denominator of -1\/6 and 4\/n - 803\/140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.975 + -2?\nAnswer: -2.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 2*t + 7*t)*(3 - 3 + 1) - 10*t - 5*t + 3*t to the form m + d*t and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05864175 rounded to 4 decimal places?\nAnswer: 0.0586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 10.4. Let j = m + -9.999998. Round j to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8676 or 8662?\nAnswer: 8676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-2*x + 0 + 0)*(-3 + 3 + x**3).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let q(n) = 137 + 146 + 59*n - 283. Give q(f(t)).\nAnswer: 59*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -2\/35*j**5 + 1\/1176*j**8 + 0*j**3 - 11\/420*j**6 + 18*j**2 + 0 + 2\/735*j**7 + 0*j + 3\/7*j**4. Factor u(i).\nAnswer: 2*i*(i - 2)**2*(i + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and (-9800)\/(-294)*(-108)\/(-10)?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704)*-2*-1 - (1 + sqrt(704) + 2 + sqrt(704) - sqrt(704))) + ((sqrt(704)*3)**2 + 5 - (5 + -1*sqrt(704))**2).\nAnswer: 88*sqrt(11) + 5607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 5 + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361 times -642.8?\nAnswer: 874850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, p: 2, b: 3, d: 2}. What is prob of picking 1 p, 1 d, and 2 b?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 299. Let a be h(0). Suppose -490 = 5*t + f, 3*t + f = 2*f - 294. Let m = a - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1174120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11890 - -4800. List the prime factors of w.\nAnswer: 2, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.27, -2\/5, 0.199?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2. Suppose -69*k + 93 + 249 = 45*k. Let b(n) be the second derivative of 0*n**k + 0*n**2 + 0 + 1\/2*n**4 + 11*n. Calculate b(s(w)).\nAnswer: 96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2896 = 7*w + 9*w. Calculate the remainder when w is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + i**2 + (-1 + 3 - 4)*(-4 - i**2 + 4).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101 + -15?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + (-6 - -9 - (2 - 4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8688930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = -7*t. Let z(c) = 9*c - 2. Let u be z(t). Let p = u + 22. Let x(j) = j**3 - 2*j**2 + j. Determine x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-532)\/(-144) - 3 - 6\/24. Suppose 0 = 3*g - 5*m - 27, -3*m - 96 = -5*g - 67. Sort g, t, -2\/17, -0.4 in descending order.\nAnswer: g, t, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6.3. What is the second biggest value in 1\/8, 0, -4, c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*l + 29*l - 612. Solve 0 = 5*v - 2*n + 6, 14*v - 10*v = -2*n + l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77822154 take away 3.511238?\nAnswer: -77822157.511238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 + 4?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3190*u - 2374*u - 10839*u - 9231*u to the form d*u + c and give d.\nAnswer: -19254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 14 (c) -3\/14 (d) -3\/106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367*-7.\nAnswer: 2569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 7) in base 16?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773065785 to the power of 1\/2, to the nearest integer?\nAnswer: 42108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 23*j + 120. Calculate w(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)*(15\/3 + -6). Let i be (h + 9\/(-6))*20\/(-2). Solve 5*c + 16 = -3*j - 0, -i*c + j = 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 2*(-154)\/(-33). Which is the closest to -0.65? (a) 2\/7 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**2 - 1 + 39*x**2 - 20*x**2 to the form b*x**2 + a + u*x and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3*o + 2*o + (0 + 0 + o)*(0 + 0 - 2))*(-17 - 7*o**3 + 8*o**3 + 3).\nAnswer: -5*o**4 + 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Let d(h) = 0*h + 3*h - 2*h. Let j be d(p). Solve 4*m = -j*r, r + 4*r = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/24*(-12)\/(-8). Solve 2*y = i + 4*y + 12, -l*i + 4*y + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3687 + 5106. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 + k**3 - 2*k**3)*(0 - 3 + 5) + (2 - 2 - 2*k)*(-645*k**2 + 39527*k - 39527*k) in the form u + s*k + f*k**3 + p*k**2 and give f.\nAnswer: 1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 743743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -152*f**2 + 6*f - 5. Let u(h) = 126*h**2 - 5*h + 4. Let t(p) = 5*l(p) + 6*u(p). Let r(c) = -9*c**2. What is t(r(b))?\nAnswer: -324*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/20)\/((-2)\/20). Suppose 2*m + 4 = -a + 3*m, 4*m = 8. Sort o, 3, a.\nAnswer: a, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 + -1 + 8. Suppose 5*k + b = 41. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88184024.\nAnswer: 2, 23, 37, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.623 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from lorelyllbbble.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21992 + 42552. Suppose -7*x - 9*x = -a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1691.1426 months to decades.\nAnswer: 14.092855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5536597 to the nearest integer?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -354, -590, -826, -1062, -1298?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84\/(-9)*900\/(-525). Sort u, 12, 0.\nAnswer: 0, 12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/9639432 and -143\/54.\nAnswer: 9639432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-1 + 5 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - g**2 + 0 + g**2 - 2*g**2 + 2*g**2 + (-g**2 - 4*g**2 + 3*g**2)*(-2 + 0 + 0) + 0 + 0 - 3*g**2 to the form l + j*g**2 + v*g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {a: 7, n: 1, y: 6, i: 6}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*b - 149 + 149 + b + b - 3*b + (1 - 2 + 4)*(-2*b - b + b) to the form n + j*b and give j.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 19*g - 23*g. Let v(q) = q**2 + 9*q + 30. What is the units digit of v(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35371\/7370 + 52\/335. What is the common denominator of -13\/18 and m?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*k)*(119 + 540 + 289) as i*k + m and give i.\nAnswer: 1896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*r + 8 + 37, -3*i = -2*r - 5. Suppose 0 = 2*g - v - 17, -r*v + 1 - 8 = 3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 18*b - 21 = 3*b, -27 = 4*v - b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 110.2588 litres?\nAnswer: 110258.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.61 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 765, 677, 523, 309, 41, -275, -633, -1027?\n\"Answer: k**3 - 39*k**2 + 22*k + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/95*35\/14. Let z = -0.0857 - -0.0857. Let b be (2 - 2\/(-10)) + -1. What is the smallest value in b, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 - -5403\/25. Is 1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734 a factor of 356366052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1020 and 26588.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166479*r + 6*q + 74 = 166478*r, -r = -2*q - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.6 - 49.599727. Round q to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215 - -196. Which is smaller: -17 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = 2*k - 3, -2*k + w = 8. Let o be (-32 - k)\/(1\/(-7)). Calculate the greatest common divisor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*((0 + sqrt(475) + sqrt(475) + sqrt(475) - sqrt(475))*-1 + sqrt(475) + sqrt(475) + -1 + sqrt(475) + 0 + 3)*5)**2 + -2.\nAnswer: 8400*sqrt(19) + 191762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 14015554?\nAnswer: -14015535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 0*o + 2 + 0*o**5 + 0*o**4 - 2\/3*o**6 + 0*o**2 - 5\/3*o**3. What is the third derivative of y(v) wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -713 in increasing order.\nAnswer: -713, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1100010101011 (base 2) to base 11\nAnswer: 4821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767, -1557, -2369, -3215, -4107?\nAnswer: -5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.041704 + 1.28967.\nAnswer: 1.247966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxiixihliidxi. Give prob of picking 1 i, 1 x, and 1 d.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 34. Let s(d) = 10*d + 68. Let j(b) = 7*a(b) + 3*s(b). What is the remainder when 47 is divided by j(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 261*i + 256*i + 127, 2*t + 2*i - 48 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 - 31 = 0. Suppose -38 = -q*y + 17. What is the lowest common multiple of y and 1\/(-1)*2 + 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -37, 4, -4, -34, 130 in descending order.\nAnswer: 130, 4, -3, -4, -34, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 33. Sort v, -1, 267 in decreasing order.\nAnswer: 267, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*j + 76 - 76)*(-j**2 + 0 + 0) + 12 + 7*j**3 - 12 as f*j**2 + v + l*j**3 + p*j and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 3. Let l = -6 - -2. What is the units digit of p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -138*n - 263. Give s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 124. Does t = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Let p = -124 - -126. Suppose 48 = 4*l - p*x, l = 3*l + b*x - 14. Calculate the highest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(12 + -8 - 2). Suppose 3*q - 4 - f = 3*x, -q - 4*x = 1. Suppose 2*n = 3 - 1. Solve -q - n = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13251.444 rounded to the nearest integer?\nAnswer: -13251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2675 and 525.\nAnswer: 56175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 6*k + 10. Let c be i(7). Let p be (3\/c)\/(-1) - -2. What is the first derivative of -j**4 - p - 4 + 3 - 3*j**4 wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 44*b + 99. Determine k(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 4. Suppose 0 = -w*f - 5 + 14. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:40 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 176\/(-56) - 1\/35*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 2*y**2 + y + 1. Let p be o(-2). Let g = 1 - 3. Let x be g\/6*(4 + -16). Solve -x*w - 3 = -p*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 508 - 9112 = 0. List the prime factors of v.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*a, 2*a - 3*a = 3*h. Suppose 0 = 2*g - 4, b - 3*g + 8 = 2*b. Let c(p) = -4 - b + 1 + p. Give c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 836*m. Let d(z) = 31*z. Determine 55*d(k) - 2*w(k).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100011100010001100 (base 2) in base 12?\nAnswer: 38b410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 - 8.8.\nAnswer: -272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v**4 - 8*v**4 - 2*v + 3 + 4*v**4 + (9*v - 9*v + 2*v**2)*(5 - v**2 - 5) to i + j*v**3 + a*v**2 + m*v + l*v**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = 4*r - 2*v, 0 = r + 4*v - 8. What is the first derivative of 3*i**r + 0 - 6*i**4 - 2 wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-42)*(v**23)**34 assuming v is positive.\nAnswer: v**698","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, k: 3, p: 3}. Give prob of sequence ggpk.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d - 95*d = 4*c - 214301, 5*c = -5*d + 267880. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6192297, -6192307, -6192307, -6192291, -6192253?\n\"Answer: t**3 - t**2 - 14*t - 6192283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.77, 0.448, 2\/7, 5, 2, 4.51 in increasing order.\nAnswer: -0.77, 2\/7, 0.448, 2, 4.51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*p + 7*p**5 - p**5 - 23*p**5 + 13*p wrt p.\nAnswer: -340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06298153305 to five decimal places.\nAnswer: 0.06298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.75127 litres to millilitres.\nAnswer: 38751.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + 0.31. Let d = q - 0.1. What is the third smallest value in -2\/13, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyn. Give prob of picking 1 n and 3 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 54 = 64 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -24*z - 362 + 142 + 114 + 127. Let w(s) = -5*s + 4. Determine 4*u(p) - 21*w(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*x - 150, -4*z = -2*z - 3*x - 164. Suppose -4*u + z = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Suppose -24 = -m*l - 4*b, 0 = l + 3*l + 3*b - 23. What are the prime factors of ((-63)\/35)\/(l\/(-70))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662117 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 2*o - 2*o + o + o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1349318726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 - 1\/168*d**8 + 0*d + 0*d**5 + 0*d**3 - 1\/6*d**4 + 0*d**6 + 0*d**7 + 3*d**2. What is the second derivative of g(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1957005 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -686 divided by 2?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*f**2 + 2\/11 - 4\/11*f.\nAnswer: 2*(f - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630287183?\nAnswer: 53, 73, 162907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 35*t**4\/4 + 25*t**3\/3 + 2*t + 54. What is the third derivative of k(u) wrt u?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Suppose 0 = -0*v - v + r. Let o(i) = i**3 - 3*i**2 - 4*i. What is o(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454482 is divided by 470.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-30))\/(156\/(-7920)). Which is smaller: i or 41?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36364.87 rounded to the nearest ten?\nAnswer: 36360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935 plus 5?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77445438127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134, -533, -1194, -2117, -3302?\n\"Answer: -131*p**2 - 6*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -6*m - 11*m. Let d(a) = -5*a**m - 347*a**2 - 5*a**3 + 167*a**2 + 173*a**2. Let x(w) = -w**3 - w**2. Determine -2*d(l) + 14*x(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - ((12 - 5) + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -11.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0474 and -0.1.\nAnswer: 0.00474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20918 or 20926?\nAnswer: 20918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431078047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2587 - 2662. What is the nearest to -8 in 2, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*y - 8275 + 409 = -42665 - 40365 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 22.6?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g**3 - g**2 + 2*g + 2. Let n be c(-2). Let t = 173 + -120. Let b = n - t. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -6 - 2) + 0 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 4. Let a(m) = -14*m - 12. Let b(n) = -6*a(n) - 17*q(n). Give b(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0*d - 31 + 36 + d).\nAnswer: -2*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (-2 + sqrt(891))**2)*5 - (1 + sqrt(891))*-5 - (4 + sqrt(22)\/(sqrt(96)\/sqrt(12))).\nAnswer: -4474 + 539*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1509*n**4 - 5290*n**3 - n - 12291911?\nAnswer: 6036*n**3 - 15870*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/52, 1\/5, 1\/2, -0.3, -0.14 in increasing order.\nAnswer: -0.3, -0.14, 3\/52, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188240 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/15 (b) -1\/5 (c) -0.8 (d) 5 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7\/((-196)\/(-20)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(12\/(-48)) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4))**(8\/3)\/((b**(-2\/9)*b)\/b)**42 assuming b is positive.\nAnswer: b**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110202 + -1210?\nAnswer: -1112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 9*f - 87 + 49 + 17*f.\nAnswer: 26*f - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let c(r) = 4*r**2 + 17*r - 751. Calculate w(c(a)).\nAnswer: -8*a**2 - 34*a + 1502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*(s\/(s\/s**1))\/s*s)\/s)*s)**20\/(s\/s**(-1\/2)*s*(s**(-1\/4)*s)\/s)*(s*s**(2\/7)\/s)**15\/(s*s\/s**(-3\/8)*(s*s**(-1\/2)\/s*s)\/s) assuming s is positive.\nAnswer: s**(1129\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(684) - sqrt(684)*-3) + sqrt(684))**2 + -4.\nAnswer: 300*sqrt(19) + 17121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 403\/15 + -53\/3. Is p <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12822 - 23578 = -5*m. Suppose -19*v = -6*v - m. Is 56 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 1537*a.\nAnswer: a*(a + 1537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42362.6 - 35017. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 h when four letters picked without replacement from {h: 1, g: 2, y: 1, k: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhiihhhh. Give prob of sequence hhhh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 5*z**2 - 5*z - 2. Let f be l(-4). Suppose 0*y - 5*y = -10. What is the first derivative of 1 + 8*m**y - 8*m**f - m**4 wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y + 4. Let m be i(0). What is the first derivative of m + 6*b - 9*b - 1 wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 0, -4, -10, -18, -28, -40?\n\"Answer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:08 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2470\/(-5985)*(-560)\/40\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -3, 4, -5, 2645 in descending order.\nAnswer: 2645, 4, 2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:32 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -28*u + 32. Suppose -5*o = -4*j - u*o + 15, 3*j - 4 = -5*o. Sort -5, -2, -1, j in ascending order.\nAnswer: -5, -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 + 397*i**2 - 1137*i - 7702. Determine b(-135).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 + 1\/30*f**5 - 1\/2*f**3 + 1\/12*f**4 - 1\/120*f**6 - 14*f**2 + 0*f. What is l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvrv when four letters picked without replacement from {v: 4, r: 3, w: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*l + 20 = 4*l, 5*i - 35 = -4*l. Suppose 4*n - 10 = i*n. Suppose 4*c = -n + 42. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 29*r - 9. Let h be z(14). Suppose 5*a + 4*j = 28, -5*j - 24 = -h*a + 31. What is the remainder when 13 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20)*2*1)\/(66\/33)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3e13d (base 15) to base 12\nAnswer: -97494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 86 = p + 233, -91 = t - 3*p. Let u be 10\/(-45) - t\/18. Suppose u*w + 30 = 9*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24255769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21916 and 120538?\nAnswer: 241076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -287, -708, -1137, -1580, -2043, -2532?\n\"Answer: -l**3 + 2*l**2 - 420*l + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109823441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:11 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + s - 19, -2851 = 136*n + s + 418 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - n = 217 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 - c**2 + 2*c - 1. Let f be ((-8)\/10)\/((-2)\/(-5)). Let s be (-7)\/f*(-2 + -8). Let q = -34 - s. Give v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 6*a**2 + 4*a**2 + (-2*a + 2*a + 2*a)*(0 + 0 + 2*a) + 2*a**2 + 0*a + 0*a + 4*a**2 - 2*a**2 - 3*a**2 + 5*a**2 + a**2 - 4*a**2 - 2*a**2 + a - a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30237.403 rounded to the nearest ten?\nAnswer: -30240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123370*h**2 + 826918?\nAnswer: 246740*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 150 = -s. Let l = s + 21. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + (1 - -2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:06 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**4 - r**3 + 1 - 1 - r**4 + (0*r**3 - 2*r**3 + r**3)*(4*r - 3*r - 3*r) + 28*r**4 - 3*r**3 - 29*r**4 + 9*r**3.\nAnswer: r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30877 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (-15 - -16) + (4 - -2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18960.17 centuries to decades.\nAnswer: 189601.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 0, 3*g + 28 = 5*l - 56. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8909.472 millilitres to litres.\nAnswer: 8.909472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*s + 308, 15*s - 10*s - 190 = -3*v. What is the remainder when 235 is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuozuzboobuzub. Give prob of sequence ozb.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(170)\/(sqrt(60)\/sqrt(6)) + -6*(sqrt(612) + 3))**2.\nAnswer: 1540*sqrt(17) + 21309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -69*-639106\nAnswer: 44098314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -35*a**2 + 27*a + 20. Let h be p(20). Calculate the common denominator of 5480\/h*(3 - -1) and -13\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 60. Give u(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/120 - 7*d**5\/60 + d**4\/3 + d**3\/6 - 10*d**2. Let k be x(-8). Is 3 + k + -3 - 1 - -622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-5))\/(-9*(-8)\/5472). Which is bigger: 14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -436.\nAnswer: -5\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 11*h - 52. Let l(m) = 4*m + 15. Let p(u) = 2*u + 8. Calculate h*p(j) - 3*l(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/a)\/(a\/a**(1\/2)))\/((a\/(a\/((a*a**(-1\/2)*a)\/a)))\/a**17) assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -69*x - 1. Let p(y) = 175*y**2 - 530*y**2 + 178*y**2 + 179*y**2. Calculate c(p(v)).\nAnswer: -138*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -17, 0, -24 in decreasing order.\nAnswer: 0, -5, -17, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 103560 = 9*p. Suppose -840 - p = 13*g. Round g to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from plptplpplppbllljllp.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*a - 4, 2*a - 7*c + 3079723 - 3079703 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 18. Let f be x(8). Is (-15)\/f*92\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 26 = -62. Let x be ((16\/12)\/(-4))\/(m\/(-60)). Solve 0 = 5*t - x*f + 35, -f - 2 + 1 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x - 16 + 16)*(0 - 3 + 6)*(0*x**2 + 0*x**2 + 3*x**2).\nAnswer: 126*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -197, -298, -401?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.008 + -7. Let v = d + 0.022. Let q = 0.03 - v. What is the third biggest value in -5, -9, q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -190480750 + 32070750. Round m to the nearest 100000.\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7132*k + 6768279. Determine c(-949).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)\/c**16)**(-25\/6))**(-41) assuming c is positive.\nAnswer: c**(-29725\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420945?\nAnswer: 5, 17, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -51 + 93. Suppose 0 = 3*v + 2*z - n, 0 = -v - 3*z + 10 - 1. Suppose -4*q = -3*t - 2*q + 1, 5*q - 8 = 4*t. Solve v = -t*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 38263 = -5*b, 0 = -3*b - p + 9759 + 13202. Is 7656 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 543, -2\/11 in descending order.\nAnswer: 543, 3\/8, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -27 + 42 + 13*z - 15 - 3*z. Let q(a) = 2*a**2 + 41. Give f(q(x)).\nAnswer: 20*x**2 + 410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/25650 and -46\/171.\nAnswer: 25650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -323, -648, -975, -1304, -1635?\n\"Answer: -d**2 - 322*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -0.030005417191594\nAnswer: 1.969994582808406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -636265 (base 7) in base 12?\nAnswer: -53974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (18 - 54)) + 9\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 - 3*c. Let q be o(-3). Let v = 1.564 - 6.564. Are q and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364711910 to the power of 1\/4, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46305447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 192. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) 0.3 (c) 4\/3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -93. Let r = d - 5. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/60 - 5*d**4\/18 - 7*d**3\/18 + 3*d**2 + 504*d. What is s in f(s) = 0?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/9*5*-3. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 208*d**3 + 5*d**4 - 500*d**3 - 1 + d**2 + 282*d**3 to the form y*d**3 + i*d**2 + k*d**4 + w*d + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-0.4.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2104 - 7805*p - 209*p**2 - 1238 - 4468 + 105*p**2 + 109*p**2 = 0.\nAnswer: -1, 1562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-49 - -62 - (-3 - -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - q, -4*p - 3*q = 25 - 8. Let a(y) = 2 - 3 + 4*y + 4 + 11. Let r(b) = 6*b + 21. Let o(z) = -7*a(z) + 5*r(z). Give o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*m + 18 = 2*u, -4*u - 2*m + 102 = 0. Let v(c) = -c - 6. Let p be v(9). Let b = p + u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/13684 and 5\/123101.\nAnswer: 153137644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 301502 plus 3?\nAnswer: 301505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:40 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -203*k**4 + 3656*k**3 - 11404*k**2 + 112*k = 0. What is k?\nAnswer: 0, 2\/203, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 2)*(-2)\/(-1). Let o be 648\/(-30) - (-6)\/z. Calculate the least common multiple of 5 and o\/(-2) + (-2)\/(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -880*a - 30. Let h be u(-16). Suppose -10*v + h + 214990 = 0. Suppose 4*j + 6*g = 2*g - v, 11476 = -2*j + 4*g. Round j to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2214, 1903, 1386, 663, -266, -1401, -2742?\nAnswer: -4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.2, 2\/9, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - -2122?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11280)\/50)\/(-8) - 18 - 11.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962 divided by 13.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 256?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3 + 3)*(136*v**2 + 5662 - 5662)*(2*v**2 + 4*v**2 - 4*v**2).\nAnswer: -1088*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379 = -6*o + 415 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 135. Suppose -3*g - b + h = 0, -161 = -5*g - 3*b + 81. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5803598 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 4*n - n. Let m = 34 + n. Solve -2*i - 1 + 9 = m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdt when three letters picked without replacement from {t: 11, r: 1, d: 6}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -53\/2. Let v = -0.53 - 4.47. Which is the nearest to j? (a) -2\/7 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + 0 + -1)\/((-140)\/(-1155)) and 2\/((-24)\/(-87)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-45)*(-3120)\/702\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - x**2 + x**4 + 36 - 18 - 19 - 2*x in the form c*x**2 + v + t*x + b*x**4 + o*x**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11184 and 431909304.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7339858?\nAnswer: 2, 73, 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*t + c - 176, -10*t - 3*c - 396 = -t for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 9. Suppose -2 = 4*k - 18. Suppose -2*y + p + 147 = 0, 0 = -y - 0*p + k*p + 84. What is the highest common factor of h and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1953 = 4198*w - 4207*w. What is the greatest common factor of 465 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 832*v + 11681. Let k(s) = 4*s**2 - 2*s. What is the least common multiple of n(-14) and k(-6)?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 minus 0.296?\nAnswer: -2.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 212. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55664*u**3 - u - 94484 wrt u.\nAnswer: 333984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + (sqrt(468) + 1 - sqrt(468)))*-6 - (-5*sqrt(468)*2 - (1 + (2*sqrt(468) + sqrt(468) + sqrt(468) - sqrt(468)) + sqrt(468) + sqrt(468))))**2.\nAnswer: -3780*sqrt(13) + 105741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 888\/64 + -14 + 1911\/2744?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10171603327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 8*n + 10. Determine p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -0.04 (c) 2306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141\/452 - -7\/113. Let c be (30\/375)\/(4\/(-5)). Let r = -0.06 - -0.46. What is the closest to h in r, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.3 + -10.07. Let r = 0.13868783 + 0.09131285. Let c = l - r. Round c to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*i**2 - 8*i**2 - 14*i**2 + 15*i**2.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 35*w = 32*w - 70, -n = w - 6. Suppose 0 = 2*f - 2*v - 38, 4*f - 101 = -f - v. What is the lowest common multiple of n and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z. Suppose z*w = -2*w + 434. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 13. What is the common denominator of 55\/14 and ((-1)\/w)\/(4\/(-66))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b + 223*b = 45*b + 744. Let y(g) be the first derivative of 0*g + 2\/3*g**b + 0*g**2 - 29. Let a(v) = -19*v**2. What is y(a(k))?\nAnswer: 722*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -143.00179. What is v rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3 + sqrt(13) + (sqrt(1872) - sqrt(1872)*-2) + (-1 + sqrt(468)*1)*5)*-3)**2.\nAnswer: 525213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -93689.\nAnswer: 281067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 5*n + 80 = 0, -2*o + 5*n + 42 = 37 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*s**3 - 7*s**3 + 0*s**3 + (0*s**3 + s**3 + s**3)*(-1 + 0 - 3).\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (17 + 2 - (38 - (-49 + 110)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-35) + 1364\/(-1953).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/18*-2*(-2)\/56. Which is bigger: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l. Suppose -3*t = 49*o - 48*o - 18, 4*t - 3*o = 37. Suppose -4*j = 5*n + 13, 0*j - j - 5*n - t = l. Put 2, -10, j in increasing order.\nAnswer: -10, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2) - 2*-1)*(596 + -1263 - -681).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*x**3 + 117*x**2 - 8*x**3 + 83341*x + 669 + 1818 - 83342*x with respect to x.\nAnswer: -24*x**2 + 234*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -37. Let w be 3\/18 + (-51)\/j. Suppose -8*y + 30 = -w*y. Solve -y*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3143 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 2 = -42. Let y = 10 - m. What is the greatest common divisor of y and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17705 - 251839*i**4 + 75950*i**4 - 3863 + 79491*i**4 + 85412*i**4 wrt i.\nAnswer: -43944*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 15*h. Suppose h = 2*l - 2, 3*d - l - 12 = -4*l. Suppose 0 = -y - 2*i + 115, d*y + 5*i = -0*y + 346. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 65*t - 132. Let b be o(-2). Let g(u) be the third derivative of -1\/12*u**4 - 20*u**b + 0*u + 0*u**3 + 0. Let f(d) = 2*d. Determine f(g(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-120))\/(21\/(-12))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 + 213. Factor -8*w**2 + 10*w**2 - 4*w**3 - d*w - 18*w**2 + 0*w**2.\nAnswer: -4*w*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 15*x**2 - 120*x - 140.\nAnswer: 5*(x - 7)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -31*m - 22. Let i be n(-4). Suppose 5*s + i = 6*s. Let f = s - 101. Solve 0 + f = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -676 (base 11) to base 14.\nAnswer: -41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 227*t + 1208. Determine d(108).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from uuccuccceuuuueu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 0*j**3 + 3\/2*j**2 + 1\/2*j**6 - 37 + 0*j + 0*j**5 - 3\/2*j**4. Factor a(u).\nAnswer: 3*u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542.0581m to kilometers.\nAnswer: 0.5420581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:57 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7096.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1, -0.3, 65 in descending order.\nAnswer: 65, 2\/5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 + 232300332?\nAnswer: 232232323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**2 - 63*b + 147.\nAnswer: -3*(b + 7)*(4*b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8623000 to the nearest 100000.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -28*f**2 - 47*f + 151. Give d(3).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + c - 4. Suppose 26*m - 10 = 31*m. Let s be k(m). Suppose z + 4*z + 5*p - 275 = 0, 5*z = s*p + 310. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3856285.\nAnswer: 5, 257, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 45 = 17. Suppose 466 = 4*o - 5*i + 91, -w*o + 348 = 4*i. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 + 155. Solve c = 2*h - j, -3*h = -j - 0 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = -4. Let b be (20\/(-16))\/((-2)\/16). Let z be ((-4)\/b)\/(6\/(-15)). Solve o + 0*o + 7 = -2*l, z = y*l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22577563*q**3 - 133*q**2 + 133*q**2.\nAnswer: -22577563*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**4 + 153*f**3 - 1112*f**2 - 2*f wrt f.\nAnswer: -192*f + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -278 + 224 + (-12 - -3).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 172, 0.154, -2\/13?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37023374 is divided by 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45.706108 and 0.\nAnswer: 45.706108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(120)\/sqrt(6))\/sqrt(10) + -1 + sqrt(2) + 1 + (sqrt(50) + 0 - (0 + 1 + sqrt(2))).\nAnswer: -6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1270 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654041184.\nAnswer: 2, 3, 41, 166169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + w + 6*w)*(-3 + 2 + 2)*((5*w - 3*w - 4*w)*(-3 + 4 + 0) + w - 4*w + w + 3*w + 5*w - 6*w) to j*w**2 + c*w + f and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.016 in -16, 2, 1\/4, -1, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) + 250\/(-9). Does 7 divide 8\/k + 102\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.6. Let u = 0.6 - a. Let s = 132 + -129. Put u, s, 3\/7 in ascending order.\nAnswer: u, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/392*8*2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 6 = 19*b. Is (b + -6)\/((-18)\/18498) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 8) in base 16?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4, -708484?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/21)\/(162\/(-432))*(-5)\/(-30)*-28.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/7 + 12*y**3\/7 + 81*y**2\/7 + 68*y\/7 = 0?\nAnswer: -4, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6 - 2 - y + 5. Suppose 3*h = -0*h. Suppose 6*d - d = h. Determine o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484370 to the power of 1\/2, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1984 - -2209. Which is smaller: x or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 21 = -5*z, 4*z + 15 = z + 3*u. Suppose 4*v + v = 5*i, -5*v = 4*i - 9. Sort v, 3, z in descending order.\nAnswer: 3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/45)\/((2\/(288\/(-1156)) - -8)*4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + r**2 + r. Let q be x(-1). Let a = q + 5. Suppose -4*g - 71 = -a*v + 4*v, -5*v + 4*g + 121 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20122\/(-6) - 132\/99. Let p = m - -5660. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7767 - 7764. What is the greatest common factor of 36 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4228816 and 4228816.\nAnswer: 4228816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 114*n - 1642. Determine q(14).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -3757905998790.8.\nAnswer: -3757905998790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -73367274.\nAnswer: -73367268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 = -g. Solve -4 = -z - 2*s, -g = 2*z + s + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4424 - 4418. Solve 3*w - 4 - r = a, -14 = 3*a - w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(22)\/sqrt(2) + -5 + 0 + 0.\nAnswer: -10 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = -270. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 61 = -3. Suppose -3*i = 2 - m. Suppose 3*t = -t + 2*d + 70, 26 = 2*t + i*d. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27233*g**3 + 220*g**2 + 5*g - 4.\nAnswer: 163398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v + 0*v**2 + 4\/3*v**3 - 12. Let h(y) = y**2. Calculate h(r(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362984849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -4, -2, 5, 0.07 in decreasing order.\nAnswer: 5, 1\/2, 0.07, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176679 and 11051667.\nAnswer: 740461689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171346 is divided by 84436?\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k. Let u(d) = -132876*d. Determine u(c(m)).\nAnswer: -531504*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -6*((sqrt(2448) + -2)*-2*-2)**2 + -2).\nAnswer: -941560 + 18432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9370 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 16, y: 3, o: 1}. What is prob of picking 3 p?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 8, b: 4}. Give prob of picking 3 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -13*o + 6. What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.46. Which is the nearest to -2? (a) u (b) 3\/2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 92561?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191023290 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71713*c**2 + 0 + 6*c**4 - 2*c**3 + 71715*c**2 + 5 to the form j*c + d*c**3 + s + f*c**4 + i*c**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10702\/(-16053))\/(3 - 74\/21)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = 4*b + 7, -10 = -2*b + 2*d. Suppose -b*q = -0*q - 8. Solve 3*u - u = q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*v - 16 + 15, 0 = 2*w - 2*v - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6184*m + 5311*m - 626*m - 1877*m as p*m + g and give p.\nAnswer: 8992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 7*v - 4*v + 3*v + 74. Let j be p(8). Solve 7 = -j*b + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 11) in base 8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 + 7*r**2 + 18*r - 18*r + 210.\nAnswer: 7*r**2 + 440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 7*m - 28*m. Factor -2*b - 4*b**2 - 72 - 10*b - 13*b**2 - 10*b**2 + 31*b**m.\nAnswer: 4*(b - 6)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622946353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 338 and 343 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-406)\/(10 + 4))\/(-1))\/1 + -2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -343 - -2405\/7. Let p be (2\/(-3))\/((-10)\/(-12)). Which is the smallest value? (a) p (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 27 = 4*t, -2*t + 4 = -2. What is the units digit of 1 - (-1 - a) - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3438, 1\/3 in ascending order.\nAnswer: -3438, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 8:02 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 343.01 - 341.01. Let x = -219 + 3284\/15. What is the closest to s in -2, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 - 2)) + 15 - (-47 - -19).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 324*b + 10056. Calculate y(-31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25290818 divided by 4\nAnswer: -12645409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + -16e?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(500)*-1*2)*5)**2.\nAnswer: 6000*sqrt(5) + 200225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011010 (base 2) in base 7?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.5 - -45. Let d = h - 4.2. Let o = -7 + 6. Which is the nearest to o? (a) 5 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86486?\nAnswer: 2, 83, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 - 9*s**2 - 46 - 24*s + 51. Let k be g(-6). Solve 9*w - 4*w - k = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3 - -1)*(-4)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 9079.\nAnswer: 99869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l)\/l*l\/(l**(2\/87)\/l*l*l)*l assuming l is positive.\nAnswer: l**(-176\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52174 - -35209. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229 - a**3 - 1164*a**2 + a**4 - 1107*a**2 + 2273*a**2 - a to g*a**2 + u*a**3 + l + m*a**4 + z*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7324396, 14648782, 21973168?\n\"Answer: 7324386*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 10*i - 17*i + 8*i + 10. Let y be w(-2). Suppose -a = -y - 124. What is the highest common factor of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31958*s**6 - 7*s**2 + 93*s - 1 wrt s?\nAnswer: 3834960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305096 is divided by 23454?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938144870 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*g = 626*g + 57 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from naapnnnhnnpu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**4 + 4*o**4 - 6*o**4)*(-4*o + 5*o - 3*o).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 divided by 44?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - 3*o + 4*o, 0 = -4*u - o + 12. Suppose 1 = -5*v + 16. Suppose 0*r + 3*r = 6. Solve -v*b - u = -r*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*1\/(-1 - -2). Let f = y + 30. Let l = -967 - -969. Solve v - f = -3*v - l*i, 0 = v + 5*i + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -3\/29 (c) -1\/3 (d) -3 (e) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 905934.7ug in milligrams?\nAnswer: 905.9347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37.6 + 37.53. What is the third smallest value in 0.3, -0.5, 5, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2347*u**5\/5 - 25*u**3 + 2*u - 3499. Find the third derivative of i(n) wrt n.\nAnswer: -56328*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let s(k) = -4*k - 6*k**2 + k**2 - 4*k + 3*k**2. Determine -6*a(t) + s(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21862 greater than 21725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - (-1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4586062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Suppose -h = -2*l + 3. Suppose -3*s + g + l*g + 21 = 0, 3*s - 21 = -g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 10*t**3 + 20*t**2 - 10*t - 15.\nAnswer: -5*(t - 3)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00165476613 rounded to 7 dps?\nAnswer: 0.0016548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 + 6*q + 5. Let j(n) = -n**3 - 3*n**2 + 5*n + 4. Calculate -6*j(l) + 5*z(l).\nAnswer: l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 293, 292?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*h - 129*h - 67*h + 253*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 30 - 118 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 2*x - 2. Let m(k) = -13*k**2 + 11*k - 12. Let o(s) = -6*i(s) + m(s). Let b(z) = -2*z**3 + 16*z**2 + 16*z. What is -3*b(u) - 48*o(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377) + 0 + sqrt(1377))**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-19 + 18 + 202\/16)*37\/(-111) and -8\/207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11225 is divided by 2500.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 116 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 19*c = -5 - 29, 5*v - 2*v = c - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + 236. Suppose -2*c = -5*c + m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 106?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 47 + 19 = -28 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 68 = 44*k. Let d be 6 - 1 - -2*1. Let a(y) = 3*y**2 + 4*y + 3. Let g(w) = -10*w**2 - 12*w - 10. Let o(n) = d*a(n) + 2*g(n). Determine o(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/10)\/(10\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*c + 72*c - 760. Let a = c + -101. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611 is divided by 521.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/296*4*5081. Let f = 412 - w. Let c = f + -77\/111. What is the third biggest value in 4, c, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 41 = 22*n + 55 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 10*c**2 + 24*c + 179. What is the hundreds digit of m(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = 1. Suppose r - 2*m - 21 = -m, -v*m - 80 = -4*r. Suppose 3*o + o - 144 = 0. Calculate the remainder when o is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.88 + -72.916?\nAnswer: -77.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -5, 5, -262, 11 in ascending order.\nAnswer: -262, -5, 1, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-651)\/(-42) + -2)\/((-6)\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811*t - 818*t + 28 = 0. Suppose 5*s + 10 = 6*s - 2*i, 2*i = 4*s - 10. Solve 3*d + u + 14 = -t*u, 2*u + 8 = s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8862 and 2170?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1001, -1, -7, -11 in decreasing order.\nAnswer: 1001, -1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from tmcuttubuunum?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2 + 0 + 2*a - 3*a - a**2 - 2*a. Calculate f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + 4*(4*sqrt(114) + sqrt(114) - sqrt(114)))\/(sqrt(750)\/sqrt(5)).\nAnswer: 18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 17 = 5*j - 2, 4*j + 12 = 5*m. Suppose 15 = 5*k - m*k. What is the remainder when (16\/(1 + 1))\/1 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 16. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -26\/361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/10 + 17*l**4\/24 - 4*l**3\/3 - 2*l**2. Let c(n) = -42*n**2 + 120*n - 57. Let k(w) = -2*c(w) + 15*p(w). Factor k(o).\nAnswer: -3*(o - 2)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/14)\/1)\/((4\/252)\/(28\/(-84)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35103.314 and -2.7.\nAnswer: 94778.9478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w + 1\/24*w**4 + 1\/120*w**6 - 1\/15*w**5 + 1\/3*w**3 + 0 - w**2. Let l = -32 - -36. What is h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 350077 - 144284. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33029 - -50388. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129552 - 0.1.\nAnswer: -129552.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrjjjjvrxvjrvvjrvxx. What is prob of picking 1 j and 1 x?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - y**3 + 5*y + y**3 - 5*y + (-2*y - 2*y + 0*y)*(-y**2 + 1 - 1) + (0*y**2 + 0*y**2 + y**2)*(-y + 2 - 2) + 0*y**3 + 2*y**3 + 0*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4557\/63)\/31)\/(3752\/(-24))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 2\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 24*g**3 - 48*g**2.\nAnswer: -3*g**2*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49999333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 926810\/(-2) - (-2)\/1. Suppose -c - 522004 = z, -2*z - v = 5*c + 580615. Round z to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 60*m**2 + 105*m + 490.\nAnswer: 5*(m - 7)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 - j**4\/24 + 4*j**3\/3 - 12*j**2. Let f be m(0). Calculate the highest common divisor of 64 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 53*o - 5605. Let g(x) = -20*x + 1872. What is -3*b(r) - 8*g(r)?\nAnswer: r + 1839","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1918 to 1 decimal place.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:01 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**2 + 59*s - 210. Let o be r(4). Calculate the highest common divisor of o and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 209, 509, 947, 1529, 2261, 3149, 4199?\nAnswer: 5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-6) + 892096\/192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -11 - 12) + -3 + 2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2741*u**4\/4 + 14906*u - 15025. Differentiate y(n) with respect to n.\nAnswer: -8223*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*p - 35, -15 = -2*i + 4*p - 5*p. Suppose 4*k - 1 = i*t - 51, -3*k - 27 = -2*t. Solve 3*l + t = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -21. Suppose l = -0*q + 5*q - 15000. What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 6 = 39. What is the derivative of 40*q**3 + 146*q**2 + 117 - 90*q**o - 146*q**2 - 81*q**3 + q wrt q?\nAnswer: -393*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -43*c + 2. Let o(b) = -24*b + 1. Let u(n) = -4*f(n) + 7*o(n). Let a(p) = -2*p + 1. What is 10*a(s) + 6*u(s)?\nAnswer: 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + v + 7, 0*q - 4*q = 3*v - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 300\/(-200)*(-3)\/2. Factor -r*w - 3*w**2 - 3\/4*w**3 + 0.\nAnswer: -3*w*(w + 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 36718847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**3 + 330*x**2 - 5094*x - 11572. Let m(j) = 34*j**3 - 990*j**2 + 15281*j + 34718. Let f(b) = -6*m(b) - 19*u(b). Factor f(s).\nAnswer: 5*(s - 34)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*u - 50, -4*k = -3*u - 8*k + 2. Calculate the lowest common multiple of (-56)\/(-7)*(-3)\/(-4) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60131.\nAnswer: 157, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 - 1. Let o be u(-1). Let q(i) = -4*i**3 + 3*i**2 + 3*i + 1. Suppose -5 = -s + 13. Calculate the remainder when s is divided by q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/22 - -49\/110. Let g = 10.2 + -5.2. What is the closest to x in 0.5, g, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q - 2. Let k be z(1). Let p = -1.064 + -8.936. What is the second smallest value in k, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 617*y**7\/210 - 257*y**4\/24 + 2*y**2 + 9*y. Find the second derivative of x(u) wrt u.\nAnswer: 7404*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(19) + 1 - sqrt(19)) + -1*2*sqrt(19) + -1 + sqrt(171)\/(sqrt(9)*-2))**2.\nAnswer: 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 8*b - b - 3*b + 4 - 4 - 15*b - 6*b + b + 3*b + (-2 + 5 - 1)*(3*b - 3*b - 5*b).\nAnswer: -23*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 109*s**2 - 33*s**2 - 4.\nAnswer: -142*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16013, 16189, 16459, 16829, 17305, 17893?\nAnswer: 18599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3140 - -3760. What are the prime factors of g?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*b + 8 = -b, -4*d - 2*b = 46. Let z = d + 31. What is the lowest common multiple of 8 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101444 divided by -1.\nAnswer: 101444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/153)\/((-1)\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-2\/5)*t*t)**(-17\/5)*t**(-1\/3)\/(t\/(t\/(t**(3\/8)*t))) assuming t is positive.\nAnswer: t**(-10001\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(4\/6)\/(-2). Find the second derivative of 24*k - 5*k - 7*k**3 - 9*k**3 + k**h wrt k.\nAnswer: -90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 6. Let j be s(5). Let p = 5 - 4. Let y = p + -0.8. Which is the second smallest value? (a) j (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*k - 94*k + 9. Suppose -n = 3*c - 8303, -k*n - c = -14784 - 10117. Round n to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1694846, 3389697, 5084548?\nAnswer: 6779399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - f + 3)*(-146*f**3 - 4*f**3 - 17*f**2 + 19*f**2) as v*f**4 + z + q*f**3 + p*f + s*f**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 103*o**2 - 12*o - 6. Let n(r) = -10406*r**2 + 1210*r + 605. Determine 605*k(b) + 6*n(b).\nAnswer: -121*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20674910?\nAnswer: 2, 5, 2067491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 + s**3 - 2*s**3 + 6*s**2 + 2*s + 2*s**4 as d*s + w*s**2 + n*s**3 + u*s**4 + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d + 4*g + 12, -3*g = -d + 20. Suppose -188 = d*z + 3*j, 4*z + 83 = -3*j - 68. Let l = 26 - z. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21 + -23)*(-6)\/4. Let h(d) = 6*d**2 + 8*d - 10. Does 68 divide h(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**5 - 40*p**4 - 63160*p**3 + 189670*p**2 - 189725*p + 63250 = 0?\nAnswer: -110, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00347 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3126 and 3382853.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5 - 16*g**4 + 44*g**3 - 56*g**2 + 34*g - 8 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-198)\/(-66) + 0\/(-1). Let b(n) = -11*n**2 + 17*n - 2. Let o(i) = 7*i**2 - 11*i + 1. Let k(z) = -5*b(z) - 8*o(z). Give k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308186488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -80?\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11*p - 13 + 9*p - 20*p + 11*p to z + g*p and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50222, -100449, -150678, -200909, -251142, -301377, -351614?\nAnswer: -401853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 9. Let b be k(8). Suppose 0 = -46*f + b*f + 3045. What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21884419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 18 = 28. Let i be (-4)\/((-3 + -67)\/(-5)). What is the closest to 8 in v, -0.2, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -14*a + 22. Let s = -3\/191 + -3029\/1719. Calculate the common denominator of s and (188\/12*-1)\/a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5*d + 7. Let o be i(-2). Let k(r) = -r**2 - r + 1. Let l be k(-2). Which is the nearest to 1\/4? (a) o (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 8 = -2*w - 3*g, -3*w + 9 = 3*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:30 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2070)\/100)\/3*2\/(-6) and -11\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2341*s + 5*s**2 - 4638*s + 3265 + 2305*s + 3*s**3 wrt s.\nAnswer: 9*s**2 + 10*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t - 3*y + 292 = 0, 2*y = -4*t + 1178. What are the prime factors of t?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -9. Let t = 51 - p. Let h = -24 + t. Which is the closest to 0? (a) 0.3 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14 = -4*y + 4*n, -5*n = -10. Let w be y\/9*(-3)\/2*5. Solve 0*u - 5*u - w = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -25*x**3 - 2*x**2 + 31*x + 13. Is g(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-10) + -3)*-60. Suppose 3*y + 6 + 6 = 0, 0 = v - 2*y - q. Solve -4*g - 4 = -v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 9*x**2 - 5 + 1 - 2*x - 5*x**2. Let z(b) = b**2 - 1. Let k(w) = -h(w) + 2*z(w). Let a(f) = 4*f**2 - 2*f - 5. Give -2*a(n) - 5*k(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5)) - (-5 + sqrt(63) + sqrt(7)).\nAnswer: -11*sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*u + 117, -x = -2*u + 2*x + 56. What is the smallest common multiple of u and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 9. Let f be a(-4). Let v be (f\/(-15))\/(1\/27). Solve -v = -3*l - 3*r, 2*l = 3*r - 0*r + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 7*b + 11. Let o be u(-11). Let g = -16 - o. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 2\/9, 0.059, -0.009?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - -317.74388.\nAnswer: 317.70388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 9*n**2 + 3. Let m(g) = -14*g**2 + 4*g**2 - g + 2*g. Let s be m(1). Calculate the remainder when o(s) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 745, 740, 735, 730?\n\"Answer: -5*g + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54885139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/38, -0.5, -0.97, 1, -0.4, 7 in decreasing order.\nAnswer: 7, 1, 1\/38, -0.4, -0.5, -0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 591 = h - 580, 0 = 4*q + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - 94*o**3 + 92*o**2 + 94*o - 93 = 0. What is o?\nAnswer: -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(-2*sqrt(2736) + sqrt(2736)))**2 + -1.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2 + 15 = -2*q, 16 = -4*s + 4*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + d - 36. Let j be (-10 - 0)*182\/(-35). Suppose -a - 3*v + 24 = 0, -5*a = v - j + 2. Solve -d*t + a = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 - 1. Let v be x(1). Suppose 9 + 7 = 4*g. Let j = -2 + g. Put 4, v, j in decreasing order.\nAnswer: 4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b1 (base 14) to base 6.\nAnswer: 24051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 439739524 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*r - 49 = -58 + 225, 4 - 6 = 2*i - 2*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from oqexqefxoxnxx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*k + 5*q, -14*k - 3*q = -190 + 151. Factor -2*r**4 + k - 56\/3*r - 38\/3*r**3 - 80\/3*r**2.\nAnswer: -2*r*(r + 2)**2*(3*r + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 618 and 1470759248.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22059, 22129, 22195, 22257, 22315, 22369, 22419?\nAnswer: 22465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -60. Let f = 51 - r. Suppose 16*m = f*m + 10. What is the nearest to -1\/4 in m, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - 2) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 6 + 78 = 0. Let z be 1\/(-8) + 482\/16. What is the lowest common multiple of -1 + z + 4 + -3 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 6*-1*sqrt(102))\/(sqrt(48)\/sqrt(32)))**2 - ((sqrt(136)*-2)\/sqrt(8) + 2 + -4).\nAnswer: 2*sqrt(17) + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.98 times 26\nAnswer: -51.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -72. Let z = 53 + t. Sort -11, 0, z, -5 in increasing order.\nAnswer: -11, -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4362 - 4423) + (1 - -28) + -37.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*t + t, -3*s = -5*t - 1. Let y = -25.672 - -25.172. What is the biggest value in y, -5, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 7:41 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3 in ascending order.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 41*i**2 + 43*i + 137. Let n be r(-40). Let m(b) = -171*b**3 + b. Let v be m(-1). Calculate the greatest common factor of n and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.049 and 1.5?\nAnswer: 1.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 2}. Give prob of picking 1 i and 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*((f\/f**(-1))\/f)\/f*f**(-5))**(1\/11))**(-12) assuming f is positive.\nAnswer: f**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19686*d**2*i + 6*d**2 - 411*d*i - 8*d - 3*i + 3 wrt d?\nAnswer: -39372*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 - z**4\/24 + z**3\/6 + 7776*z**2. Let w(v) = -4*v + 1. Determine -2*k(y) + w(y).\nAnswer: -2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.9 + -79. Let g = -26 - -39. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 6:30 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9747 and 1194549?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**0*w))*w**(-1))\/(w\/(w*w*(w**1\/w)\/w))**(3\/2) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven halves of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 8245*l**2 + 66205*l - 124275.\nAnswer: -5*(l - 5)*(l - 3)*(l + 1657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, w: 2, l: 1, i: 8, x: 1, j: 5}. What is prob of picking 2 o and 1 l?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Suppose -2*v = -v, x*k + v = 28. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*(-220)\/119680*102?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 - 6*t + 55. Let o be a(8). Let p = -513 + o. What is the least common multiple of 111 and p?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176908 is divided by 88448?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*i = b - 8, -2*b - 8 = 2*i. Let z(a) be the first derivative of a**4\/4 + 2*a**3 + 3*a**2 + 6*a - 1. Determine z(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3\/7)\/s*s**(-3\/2)\/s)\/(s**2)**(2\/67))**42)**(4\/21) assuming s is positive.\nAnswer: s**(-14964\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187)*2*-4)\/(-6*((sqrt(11) - sqrt(33)\/sqrt(3)) + sqrt(11))).\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1498 and 38650112.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 843850993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -6*c - 60. Suppose -c*n = 2*z - 19 + 7, 0 = -n. What is the highest common factor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -769 from -240961.04.\nAnswer: -240192.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 16. Let q = 0 + x. Suppose 5*f - 3*w = 59 + 22, -68 = -4*f + q*w. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 143*u + 587. Let n be s(4). Let p(h) = h**3 + h**2 + h. Let v(l) = 22*l**3 + 33*l**2 + 33*l. Determine n*p(k) + v(k).\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 42504?\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13195340 to the nearest integer?\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694*y - 346 - 38616 = 0 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3275 divided by -5.\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(-14)\/49*(-47)\/(-2). What is the highest common divisor of s and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from bxxbkkkkmbbkmmkkk?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108486 and 38499.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12899869, -25799736, -38699603, -51599470, -64499337?\nAnswer: -77399204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70.15492 - 356.35578. Let m = -0.8107 - p. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 56 (b) -0.054 (c) 0.6 (d) -7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 44. Let i = 0.03 + 0.07. Let x = -3 - -2. What is the nearest to 0 in x, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/36*15626\/(-3005)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071*n**3 - 804*n**2\/5 + 12*n\/5 = 0 for n.\nAnswer: 0, 2\/119, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - (-174)\/(-40). Let h = 609\/134 - 3\/67. Let m = h + n. Which is the smallest value? (a) 2 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5056 + 5056.13827. What is w rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(6*u + 0*u - 3*u)*(-29 + 29 - 8*u).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = -15. Let q be c\/2 + (8 - -9). Differentiate -x**2 - 6 + 5*x**2 + q*x**4 - 4*x**2 with respect to x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -948, -958, -972?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.419 - 0.045226527.\nAnswer: 0.373773473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 48. Suppose 3 = -0*h + h. Suppose -h*g + 43 + 17 = 0. Calculate the lowest common multiple of g and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1572 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*k + 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9025 (b) 207 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 31 = 8*j - 61 + 22, 4*o - 22 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjzhjjjhjhziuu. Give prob of picking 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 6162.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -11*q**5\/60 + q**4\/3 + q**2. Find the second derivative of v(p) wrt p.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r - 4*r**2 - 2*r**2 - 1 + 0*r + 3*r**3. Let d(k) = -7*k**3 + 12*k**2 - 29*k + 3. Let m(f) = -4*d(f) - 9*q(f). What is the tens digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 126405, 126397, 126375, 126333, 126265, 126165?\n\"Answer: -j**3 - j**2 + 2*j + 126405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12)*-1) + 0 + sqrt(32) + sqrt(2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 598*z - 13639. Determine s(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (1 + 0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 5778*j**4 - 12257256*j**3.\nAnswer: 3*j**3*(j - 3202)*(j + 1276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3270, 6635, 10104, 13677?\nAnswer: 17354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 - 12\/(-11). Let w = -35\/22 + n. What is the closest to 2 in 0.4, -2\/9, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 - 2*r**2 + 1. Suppose -f + 0*m - m = 0, -f + 3*m = -4. Give h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3395*k = 3400*k - 50, u - 5*k = -25 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1 + 27)*(-12)\/(-24). Differentiate -24*i + 16 + g*i + 16*i with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4, 0.2, -3\/2, -2002 in increasing order.\nAnswer: -2002, -3\/2, -1\/6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in years?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1899 and 5787.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 3*b - 12 + 13)*(-5 + 2 + 1).\nAnswer: 6*b - 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1168 - 261. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 9*g**2 - 7*g + 27. Let v(z) = z**3 - 4*z**2 + 4*z - 14. Let m(s) = 5*v(s) + 3*y(s). What is m(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27610*q**4*w - 6*q**3*w - 3*q**3 + 162589*q**2*w + 1063*w wrt q.\nAnswer: 662640*q*w - 36*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-26) + -3 - 14\/3*(-88644)\/9256\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.083 + -1.917. Which is the nearest to 3? (a) -4 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 7. Let r be h(-5). What is the remainder when 21 is divided by (9\/12)\/(r\/32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4663?\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {u: 3, g: 4, j: 9}?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51805 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 - 6 = 0. Let g be (2 - -2) + (x - 0). What is the highest common divisor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 3. Let b(s) = 2. Suppose 2 = 3*n + 11. Let i(q) = n*b(q) - 2*o(q). Let r(v) = -11*v**2. Calculate r(i(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -20*d + 23*d. Suppose d*z = 98*z - 36. Solve -z*a + 8*a = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8022 - -0.8. Round n to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*j + 675, 28*w - 32*w + 720 = 5*j. Calculate the least common multiple of 245 and j.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-56457)\/(-1107))*3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 5, h: 3, p: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2776, -2755, -2734, -2713?\nAnswer: -2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7442*z - 3701*z - 3735*z + 1.\nAnswer: 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2352 and 13276.\nAnswer: 7806288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 5, -144237, 0.\nAnswer: -144237, -5, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.307 and -3.\nAnswer: 0.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3118 or -1?\nAnswer: -3118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122969322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.487, -1\/3, 0.4, -2\/7 in ascending order.\nAnswer: -0.487, -1\/3, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezztxztqz. Give prob of picking 1 e and 2 t.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18818, 18819, 18820, 18821, 18822?\nAnswer: 18823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i + 78. Suppose 0 = 4*t + 2*o - 2, -2*o + 1 = -t - 1. Does 26 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1907 divided by 57492\nAnswer: 1907\/57492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**7\/315 + q**5\/15 + 7*q**4\/3 - 12*q. Let w(h) be the third derivative of r(h). What is the derivative of w(i) wrt i?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 4*y, -6*h + 16 = -2*h + y. Let i = 4 + -2. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5414?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/8 - 3*f**3\/4 + 3*f**2\/2 - 7*f. Factor r(k).\nAnswer: 3*(k - 2)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1139.12 and -2303482?\nAnswer: 2302342.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:36 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**3 + 32*z**3 - 7*z**3 + (z**3 + 4*z**3 - 4*z**3)*(4 - 2 + 0) - 9*z**3 - 7*z**3 + 4*z**3 to q*z**3 + j*z + t + n*z**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 30491873 = 5*v + 7491870, 18399995 = 4*v + 5*k. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/34*185079\/(-2865)\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1 - 28 - -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 11 = l, -14*h + 19*l + 5*l + 13*l + 935 = -12*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233995853837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -1\/15*l**5 + 1\/3*l**2 - 1 + l + 1\/9*l**4 - 1\/15*l**6 + 1\/3*l**3 - 1\/63*l**7. Factor r(i).\nAnswer: -2*(i - 1)*(i + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*j, -3*j + 6 = -2*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6252576 (b) 0.1 (c) -1\/6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 12. Let z be f(-9). Suppose -33 = -3*l + 12. Suppose -3*q - 3 = -4*a, -q + 12 = 2*a + a. Solve -a*s + z = l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 8*s + 1. Let i be f(7). Let y(h) = -2*h**3 + 6*h**2 + h**3 - i*h + 3 + 4*h. Let p be y(5). What is the highest common factor of 32 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -732\/911 - 9314406\/6377. Let c = 1464 + b. What is the common denominator of (1\/4)\/((-9)\/(-244)) and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -17, -30, -47?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38069 divided by -1.\nAnswer: 38069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 7. Let u(t) = -t**2 + 11*t - 5. Let l(o) = 2*s(o) - u(o). What is l(-12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*l - 140 = 7*l, 3*j + 5*l - 60 = 0. Solve -3*c = 2*n + 1 + 14, 2*n = 5*c + j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4259 is divided by 315.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512666199, -512666201, -512666205, -512666211, -512666219?\nAnswer: -512666229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71145 and 78523.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -58 + (-4 - (0 + -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1900))**2 + 1 - (2 + (sqrt(1900) - ((sqrt(1900) - (2 + sqrt(1900) + sqrt(1900)))**2 - sqrt(1900)))).\nAnswer: 20*sqrt(19) + 3803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 66, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533153, -533151, -533149, -533147, -533145?\nAnswer: -533143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**6\/144 - 8*j**3\/3 + 12. Let d(g) be the third derivative of n(g). Suppose d(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2425, 2601, 2895, 3307, 3837, 4485, 5251?\nAnswer: 6135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 195267 (base 10) to base 9\nAnswer: 326763","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**2 - 39. Let b(s) = -31*s**2 + 77. Let f(q) = 4*b(q) + 7*p(q). Let m(d) = -2*d. Calculate m(f(v)).\nAnswer: 10*v**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-26)*4\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 679, 688, 701, 718, 739, 764, 793?\n\"Answer: 2*k**2 + 3*k + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 6*k - 4. Let i(c) = -5*c**2 - 5*c - 3. What is 4*f(y) - 5*i(y)?\nAnswer: 5*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211805, -847344, -1906611, -3389606, -5296329, -7626780, -10380959?\nAnswer: -13558866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(344\/(-258))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15309488 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 937, 1881, 2825, 3769, 4713?\nAnswer: 5657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 3. Suppose -3*b = -5*d - 12, 5*d - 4*d = 3*b. Let a = b + 5. Let u(x) = -7*x + a*x + 13 - 5*x. What is 9*m(p) - 2*u(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5188?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/941 + -1852\/14115. What is the second biggest value in c, -2, 1, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67\/4 of a milligram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 714 + 780. Put -3, o, 3 in decreasing order.\nAnswer: 3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwb when three letters picked without replacement from qwwhcwwwqqckwqwbh?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -31*r**2 + 7*r + 303. Give y(0).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1552 - 1529 + 2961)*(0 + 4 - 3)*(2*u - 2*u + 3*u).\nAnswer: -360*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1512 and 5886?\nAnswer: 164808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 503085 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -212 + 4*r**2 + 212 + (-2 + 4 - 1)*(10*r - 10*r - 32 - 2*r**2).\nAnswer: 2*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -58.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 0.31 (c) -740\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 363*k**4 - 172*k**2 - 226*k**2 + 29*k**4 wrt k.\nAnswer: 9408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5842642 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 80, 124, 168?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855738.\nAnswer: 2, 3, 13, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {h: 4, l: 2, s: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4db38 (base 15) to base 14.\nAnswer: -669cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -b + 2*i, 900*i - 895*i = 2*b - 39 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-77)\/(-7) - (-2 - 17256*40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 3*j**2 + j + 1. Let b = 14 - 8. Suppose b*u - 4 = 8*u. Determine l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -2 - -9 - 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267 + 294. Suppose j*g = 369076 + 155777. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*m + 216*m = 478*m - 726 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1010111 (base 2) to base 3\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23787 plus -8858645428?\nAnswer: -8858621641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = l. Suppose -4*g + f + 28 = 0, -l*g - 14 = -4*g + 4*f. Let r(q) = 3*q - 14. Let v be r(g). Let o(k) = -k**3 + 7*k**2 - 2*k + 2. What is o(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 6*b**2 - 5*b + 4. Let g be r(5). Find the second derivative of l - 3*l**g + l - 1 + 1 wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9472 < -9472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -233858205 * 3\nAnswer: -701574615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2279109 or -2279092?\nAnswer: -2279109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -539, -1355, -2171, -2987, -3803, -4619?\n\"Answer: -816*y + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5631962924 to the power of 1\/2, to the nearest integer?\nAnswer: 75046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, h: 1, d: 1, a: 1}. Give prob of picking 1 k and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111153?\nAnswer: 3, 7, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91\/4 + -2. Calculate the common denominator of o and -91\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1170528 and -4.\nAnswer: 4682112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*m - 5 = 0, 1 = -2*x + 5*m - 4. Which is greater: 1\/6 or x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -43 in increasing order.\nAnswer: -43, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 163, 940, 1715, 2488, 3259, 4028?\n\"Answer: -l**2 + 780*l - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {m: 7, l: 3, j: 3, f: 2}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2.5. Let i = -0.3 - m. Let r = i - -0.04. What is r rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28380 at most as big as 28378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142597 is divided by 23289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-56))\/((-33)\/594)*128\/(-2016)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 3*d**2 - 5*d + 3. Let c be n(-5). Let z = c + 162. Calculate the greatest common factor of z and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ginnmgim. What is prob of picking 2 g and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 11182627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55947, -58118, -64017, -75510, -94463?\nAnswer: -122742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0\/n)\/n*n\/n**(-8))\/(n**(-2\/3))**8)**(-32\/5) assuming n is positive.\nAnswer: n**(-1184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(238)*-2)\/sqrt(7))\/((-3*sqrt(66)\/sqrt(3) - sqrt(22))\/sqrt(11)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(390\/(-920))*(-4)\/(-56))\/((-2)\/14).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 1754, 2665, 3598, 4553, 5530, 6529?\nAnswer: 7550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 3*l**2 - l**3 - l**2 + (-3*l + l**3 + 3*l)*(-2 - 3 + 1).\nAnswer: -5*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32075 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32901683921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 2*i**2 + 2*i. Let p be q(1). Solve 2 = 2*j - x - 1, -j + 24 = -p*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 11*g**2 - 11*g - 5. Let s be p(-12). Let z = 19 + s. Suppose -z*q = -7*q + 615. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23946007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o + o**3 + (2*o + 3*o - 4*o)*(-2*o + 2*o**2 + 2*o) + 9*o**3 - 3*o**3 + 0*o**3 + (-o**2 - 5*o**2 + o**2)*(2*o - 2*o + o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:10 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -147, -335, -599, -939, -1355?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 10. Suppose f + k + 7 = 3*f, 5*f = -5*k + o. Solve 0 = 4*q - f*d + 1 + 11, 0 = -q + 3*d - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*t = -25, 11*s - 2*t = 13*s + 10. Let p be (-1979)\/s + 7\/35. What is the greatest common factor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - s + 1 + (53*s - 79 + 79)*(1 + 3 - 5) as n*s + c and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 - 1. Suppose 2*s + 25 - 23 = 0. What is w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/10)\/(4\/6))\/(22\/(-10))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81 and 0.0875862.\nAnswer: -7.0944822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m. Let c(r) = 21*r. Give u(c(p)).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.239 + -48.839. Let w = -325 + 377. Let b = k + w. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 8, -0.189, -0.3, 5.\nAnswer: -0.3, -0.189, 0.3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 0.14934\nAnswer: -0.0089604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 686*i**2 - 79 - 22*i**3 + i - 1381*i**2 + 2*i**3 + 692*i**2 wrt i?\nAnswer: -120*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33300 divided by -75\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71919306 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -31, -47, -63, -79, -95?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*430\/(-1677)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1390 greater than -1391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 0, o + 3 = -2*q + 7. Suppose q*t - 142 = 2*r, 8*t - 5*t - 4*r - 209 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -130340894 or -130340897?\nAnswer: -130340894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + 11) - (1 - -1 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 29, 33, 49, 83, 141, 229, 353?\n\"Answer: c**3 - 3*c**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 3033 = 9*r + 5*d, 3*r = d + 3045. What are the prime factors of r?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*k**3 + 976861*k**2 + 32275675?\nAnswer: 15*k**2 + 1953722*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**4\/q)\/q)\/q**(2\/9))\/((q\/q**(-1\/3))\/q**(2\/3)))\/((q**(-2))**(5\/2)*(q\/(q*q**(3\/4)))\/q**(-4)) assuming q is positive.\nAnswer: q**(103\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -227*w + 1278. Is 24 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)\/(sqrt(24)\/sqrt(2)))\/sqrt(9).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2667 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 13*p**2 - 10*p + 10. Give s(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -501*j**4 - 3*j**3 + 1906*j wrt j?\nAnswer: -6012*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45362 is divided by 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(208))**2 - (sqrt(52) - sqrt(312)\/((sqrt(6) - sqrt(486)) + sqrt(6)))) + (-4*(3 + sqrt(52)) + 2)*-5.\nAnswer: 488*sqrt(13)\/7 + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 409*o**3 - 9*o**2 - 3*o - 3. Let m(v) = 2044*v**3 - 48*v**2 - 16*v - 16. Determine 16*g(q) - 3*m(q).\nAnswer: 412*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.778259 years in months?\nAnswer: 33.339108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3) + -4 - -3. Suppose 0 = -s*m + 3*m + 6. Let f = -210 + 212. Which is the biggest value? (a) 2\/3 (b) m (c) f (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2492422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35455486 divided by -2\nAnswer: 17727743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 15*q - 251 = -5*d - 11*q, -1829 = -31*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-20)\/(-6)*714\/595)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.84046 centimeters in kilometers?\nAnswer: 0.0003284046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50977.1 minus 404735?\nAnswer: -353757.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1769445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 2 - (-11)\/19*5. Which is the second biggest value? (a) 34 (b) n (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12426 is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:50 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -10)\/((-2)\/3). Suppose 5*u - 2 = 2*h, -u - w*h + 2*h + 18 = 0. Solve 0*c = u*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i - y = -192, -3*i + 114 = y. Is 9 a factor of 1086\/39 - (-6)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 13 = -3*d - 3*y, -y + 4 = 0. Let f be (d - -78)\/((-2)\/340). Round f to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18589 - 10513. Does 124 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 90*u + 562. What is b(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86964 - -86966. Let r = 30 + -21. Sort 2\/3, i, -2\/3, r.\nAnswer: -2\/3, 2\/3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xuxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245.1 - -244. Which is the second smallest value? (a) 9 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*h - 81*h + 52 = 0. Sort -1, h, -4 in decreasing order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207563 (base 8) to base 15\nAnswer: 158cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10534*-0.4.\nAnswer: -4213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2527, -2537, -2543, -2539, -2519, -2477?\nAnswer: -2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41934755 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*t - 1920 = 0, -3*c - t + 0*t + 1144 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-4 + 3 + (0 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**3*z - 18*x**3 + 3*x*z**2 + 140*z**3 + 167*z + 181571 wrt z?\nAnswer: x**3 + 6*x*z + 420*z**2 + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x + 33*x - 56*x - x**2 - 2.\nAnswer: -x**2 - 96*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 19 - 109. What is the remainder when z is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4*m = -2*w - 2*w + 38, 2*m - 17 = -15 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240511?\nAnswer: 23, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*d - 2*d = -17, 2*w - 5*d = 31. Let o(u) = u**3 - 7*u + 3. Let n be o(w). Calculate the greatest common divisor of n and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6758 = 4*r + 63026. Let q = r - -759469\/54. What is the common denominator of q and -137\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061480736 to 6 dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1352779 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - x)*(-3*x + 4*x + 3*x + 2).\nAnswer: 4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26353070 to the power of 1\/2, to the nearest integer?\nAnswer: 5134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.29 or 8122?\nAnswer: 8122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 45?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 195?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 5. Suppose -12 = 3*r + 6. Let b(o) = 9*o + 5. Let v(d) = r*b(d) + 7*y(d). Let h(n) = -6*n - 14. Determine -6*h(q) - 17*v(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 5*d - 56. Let u = d + -13. Let a = -53 + u. Solve a*j - 2*j = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000042532 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 16 + (-12 - -17) + (-2 + -16 - -3)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 3. Let s be -1 + (-1 - (3 - p)). Let b = 20 + s. What is the remainder when 13 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 102. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 3. Let t(l) = 88*l - 56. Let p = -145 - -144. Let o(a) = p*t(a) + 5*s(a). Differentiate o(i) with respect to i.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*g + 6*g - 10, -3 = 2*i + g. Let f be -8*(i + (-15)\/(-6)). Put f, 67, -1 in increasing order.\nAnswer: f, -1, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/11*v**3 - 94\/11*v**2 + 0 + 36\/11*v.\nAnswer: 2*v*(v - 9)*(5*v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*o - 13, 0 + 2 = 2*w + 2*o. Suppose m + 12 = 4*j, 4*m = 7*j - w*j. Calculate the remainder when 18 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318\/(-5) + (-9376)\/(-5860).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47420645 to the power of 1\/2, to the nearest integer?\nAnswer: 6886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 - 668*j + 1352 = 0. Calculate j.\nAnswer: -169, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c - 0. Let h(l) = 5*l - 1. Let o be h(c). Find the third derivative of -3*f**2 + 5*f**5 - 2*f**5 + o*f**2 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + o - 51*o**4 + 106*o**4 + 1 - 2*o**3 - 52*o**4 - 4*o**2 to t*o**2 + a*o**3 + c + d*o**4 + f*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*r + 2*r - 50, -3*r + 2*i + 52 = 0. Let d be (r\/(-35))\/((-1)\/110). Suppose d = 2*a - 2*y, 3*y + 20 = 2*a - 28. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let w = 23307 - 23302. Which is the biggest value? (a) w (b) -1\/8 (c) x (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**6\/15 - q**4\/12 - 2*q - 2. Let c(x) be the first derivative of i(x). Find the third derivative of c(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2. Let c be f(1). Find the second derivative of 2 - 4*y - 2 + c - 4*y**4 wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + -3*-1*(sqrt(112) + 0)*5 + -4)*-3)**2.\nAnswer: -34560*sqrt(7) + 909504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9*z + 17*z**3 - 6*z**2 - 9*z.\nAnswer: 17*z**3 - 6*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(4\/13))**(3\/17)\/(m**(-2\/5)*m*m\/m**34))**(-4\/15) assuming m is positive.\nAnswer: m**(-2828\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + (-4 - 2) - -10. Let z be (12\/(-10))\/((-6)\/h). What is the highest common divisor of 7 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202110120200 (base 3) to base 13.\nAnswer: -111480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 1. Let q = -72 - -69.1. Let b = q + 2.9. What is the biggest value in b, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-6)*(4 - -5))\/(-9). Put 10, k, -5 in decreasing order.\nAnswer: 10, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -1.97. Let a be 36\/26 - ((-3 - -10) + -8). Let l = -33\/13 + a. Put -5, -0.2, l, y in decreasing order.\nAnswer: y, l, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2148 = 2*y, -2*p - 7*y + 6*y + 4311 = 0. List the prime factors of p.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 399*u**3 - 2 + 3*u**2 + 515*u**3 in the form z*u + w*u**2 + k + v*u**3 and give v.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.541678.\nAnswer: -0.1083356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 4*h**2 - h + 1. Let c be n(3). What are the prime factors of (-3)\/((-12)\/c) + -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2698918 + -263\nAnswer: -2699181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9006 and -169\/7933338.\nAnswer: 150733422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g**2 + 2*g - 5. What is r(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -551586 by -91931.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**3 - 4*k**2 - 4*k + 5. Let y be 3*((-16)\/21 + 36\/(-63)). Let r(v) = -v**3 + v**2 + v - 1. Calculate y*r(c) - g(c).\nAnswer: -3*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.515km in micrometers?\nAnswer: 182515000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1956\/5 (c) -1\/8 (d) -0.4 (e) 4 (f) 1\/6 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:28 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1747368*w - 728122*w + 1717678*w.\nAnswer: 2736924*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/15 and 16\/3345.\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 68.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/3 - 3*x**3 - 7*x**2\/3 + 3*x + 8\/3 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 56*v + 25*v - v.\nAnswer: 67*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 621548730 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 12*o - 22 = -17*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 13*n**2 - 13*n. What is j(10)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -33*u - 99. Let f be m(-9). Suppose -f = -5*x + 72. What is the highest common divisor of x and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**2 - 3*b - 1. Suppose 2*y - 3915 = -25*y. Let w = y + -152. Let k(o) = 4*o**2 + 2*o + 1. What is w*k(z) - 5*f(z)?\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -71. Suppose -5*z = -0*p + 3*p - 34, -5*p + 2*z + 36 = 0. Suppose p - q = -3*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = 4*i, -3*i = -2*x + 7*x - 37. Let l = -121 + 123. Let q(n) = 82*n**2 - 81*n**2 - l - 6*n - 3 - n. Determine q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29848859 to the nearest integer?\nAnswer: 5463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4156 - 4240 = 7*z. Put -4, z, 17 in decreasing order.\nAnswer: 17, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65\/2*r + 16 + 17*r**2 + 1\/2*r**3 = 0. Calculate r.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 11 + 12 = 29 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 - -0.01. Let t = 262466 + -71653133\/273. Let u = t + -1\/39. What is the closest to -2 in j, u, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3984 - -13742. List the prime factors of d.\nAnswer: 2, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -24*d**5 - 3*d**4 - d**3 + 49*d - 3. Let s(h) = 25*h**5 + 2*h**4 - 49*h + 2. Let r(p) = -2*a(p) - 3*s(p). Find the second derivative of r(x) wrt x.\nAnswer: -540*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76, 143, 210, 277, 344, 411?\n\"Answer: 67*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 74 - 53 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107\/88 - -17\/8. What is the closest to 1 in -0.4, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100212222111 (base 3) to base 5.\nAnswer: -424221302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906184259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = 7*d, -3*n + 8 = d. Solve 8*p = n*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3778 - 4584?\nAnswer: -8473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 20551?\nAnswer: 20552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 - 163. Suppose 139 = 4*t + 5*c - 4, -5*c + 175 = 5*t. Let v = t + n. What is the closest to 0.1 in v, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.88 and -1?\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 6848*w - 2930944 = 0 for w.\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11111001101000101001001 (base 2) to base 12\nAnswer: 28a59a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*r + 3*r + 23, 5*p - 25 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4270 by 7.\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:33 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 824*n\/11 + 14184\/11.\nAnswer: 2*(n - 394)*(n - 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061945.\nAnswer: 5, 163, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1888 in 4\/5, 3\/10, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -574*v**3*z**2 - 20*v**3*z + 4 wrt z?\nAnswer: -1148*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-2)*480\/45. What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:51 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12953328*t**2. Let l(p) = 2*p**2. Calculate i(l(a)).\nAnswer: -51813312*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2\/11, 34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/5 - 343*f**4\/5 - 1356*f**3\/5.\nAnswer: -f**3*(f + 4)*(f + 339)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*74\/(-48) + (-282)\/(-752). Let q = 7 + -19. Which is the nearest to -2? (a) q (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 333*g**3*p + 373*g**3 + 1946*g*p + 96651*g + 36*p wrt p.\nAnswer: 333*g**3 + 1946*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) - ((-1 + sqrt(3) - sqrt(3))**2 - sqrt(3))) + -3.\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 920*t - 6.\nAnswer: 920*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4.6. Let g be (-14)\/(2*(-2 + 1)). Let r = 12 - g. Sort -4\/7, a, r in increasing order.\nAnswer: -4\/7, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572 and 41054.\nAnswer: 903188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 9*q**2 + 10*q + 39. Let d be h(-8). Suppose -143 = -20*j - d. Solve j*g = 10*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255 plus 1.159121?\nAnswer: -5253.840879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291345?\nAnswer: 3, 5, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (5 - 2)\/1. Suppose c*y = 4*n - 5, 0*y = -5*y + 3*n. Calculate the least common multiple of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -43. Suppose 3*d = 4*y + 2*d + 2, -y + d + 1 = p. What is the closest to y in -0.1, 5, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsbtswtssssbstswsss. Give prob of sequence wbb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z - 76*z - 100*z + 1440 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13269 or 1366668\/103?\nAnswer: 13269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2279 - 768. Suppose -221 + p = 43*v. What is the lowest common multiple of v and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -327 and 0.4.\nAnswer: -130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41271?\nAnswer: 3, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. Suppose -663*m = -679*m + 96. Is t at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 78 (b) 2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.44 (b) 9 (c) 0 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 1, s: 2, k: 3, v: 2, g: 3}. Give prob of sequence zd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5 + 1110*n**4 + 126968*n**3 + 2627168*n**2 + 9020736*n + 8530720 = 0?\nAnswer: -74, -22, -2, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 - 3. Suppose v = -4*r + 17, -5*r + 5*v = -2*r + 16. Let o(t) = -r*t - 3*t + t + t. Determine g(o(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**4)\/n*n\/(n*n**(-3\/4))*((n\/(n*n**(3\/11)))\/n*n)\/n**(-2\/5))**(7\/8) assuming n is positive.\nAnswer: n**(7511\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1431 = -i + 10*i. Suppose -3*o + 5*a = -i + 13, o - 46 = a. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 8.5. Let o = w + 0.5. Put -1\/9, 0.4, o, -2 in descending order.\nAnswer: o, 0.4, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d. Let n(c) = -4*c**2 + 7*c. Let p(y) = -y**2 + 2*y. Let m be 10\/(-25) + (-136)\/10. Let f(x) = m*p(x) + 4*n(x). Calculate u(f(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -292.06. What is the nearest to -0.4 in v, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2\/3. Which is the nearest to 3? (a) l (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -92*p**3 + 5*p**2 - p + 1. Let a be s(-4). Suppose 0 = -5*r - 643 + a. Is r - 5 - (1 + (-3)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429\/29 - -7964\/87. Let x = 105 - s. Let m = -0.945 + 0.445. Which is the smallest value? (a) m (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308606940 divided by -20573796?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let i = -10 - -10.1. Which is the nearest to i? (a) w (b) 5\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 1*(3 - 1). Let a(b) = -b**3 - b + 1. Let c(g) = -6*g**3 - 5*g**2 - 7*g + 3. Let v(o) = -5*a(o) + c(o). Determine v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30822)\/(-5604) + 45\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*s - 3. Suppose -3*n + 105 = -3*y, -s*y - 5*n = -n + 119. What is the common denominator of y and 87\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 38 - 22 - (7 + (-6 - -29))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2318048, 2318070, 2318106, 2318156, 2318220, 2318298, 2318390?\nAnswer: 2318496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/206, 2\/3, 1\/5, -2\/47, -0.4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204523?\nAnswer: 11, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4172?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -345 - 812 + 14363*v**2 - 14364*v**2 - 228*v with respect to v.\nAnswer: -2*v - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18*(-2)\/4 - 10)*2\/25. Put 205, -1\/3, x in ascending order.\nAnswer: -1\/3, x, 205","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 2*w. Let i = 60 + -25. Let d(z) = 85*z**2 - 35*z. Let y(g) = i*h(g) - 2*d(g). Let t(o) = o**2. Determine t(y(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -5, 6\/13, 7.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(91)*-1 + sqrt(91))\/sqrt(7) + -1 + -5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.041 and -8181332?\nAnswer: -335434.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cos when three letters picked without replacement from {o: 3, s: 4, d: 1, x: 9, c: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 407517375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5972*h**2*o**3 - 1387*h**2*o - 2*h*o**5 + 6*h*o wrt o?\nAnswer: 35832*h**2*o - 40*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 4*f - 10. Let j be h(-6). Let q be (-5 + j)\/(3 + -2). Let t(c) = -2*c - 5. Let b be t(q). Sort -1, 5, b.\nAnswer: -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -21, -42\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 84. Suppose -21*z = -d*z - 2. Find the third derivative of 40*n**z + 1276*n**3 - 19*n**5 - 1276*n**3 wrt n.\nAnswer: -1140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 924.639 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -15 (b) -5 (c) -4 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258340989 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*j**2 + 1 + (2*j + j + 0*j)*(-15 + 15 - j) + 2*j**2 + 0*j**2 - 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/15*(-720)\/(-8) a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -434, -659, -884?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49663, -21, 3, -1 in decreasing order.\nAnswer: 3, -1, -21, -49663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + 14. Let z(b) = 9*b - 5. Let h(l) = -9*l + 0 + 7 - 4*l. Calculate v*z(x) - 5*h(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 384, 385, 386, 387?\n\"Answer: d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.562 + 4?\nAnswer: -146.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1620 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:17 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0881158 rounded to four decimal places?\nAnswer: -0.0881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -138536 = -138552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, k: 4, s: 2, d: 2}. What is prob of sequence dvsd?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 2277.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 5*j + 9. Suppose 3*k + 3 = -9, d + 2*k + 2 = 0. Let l be s(d). What is the highest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3229*x**4\/4 + 2647779*x**3\/4 + 135698520*x**2 - 42025*x.\nAnswer: x*(x + 410)**2*(3229*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (12 + -16 + 14 + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/5 + 119753*y**3\/5 + 6229184*y**2\/5 + 16197636*y = 0 for y.\nAnswer: -26, 0, 119805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j + 118*j**2 - 50*j + 25*j.\nAnswer: 118*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 32*b**3 + b. Let a be h(4). Let l = a + -23552. What is l rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + 3*u - 3. Let k(i) = 4*i**3 + 2*i - 3. Give 5*k(t) - 4*o(t).\nAnswer: 4*t**3 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.9 + 23. Let d(t) = 3*t**2 + 1. Let p be d(-1). Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 14 = d, 2*j + 76 = -120*d + 124*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from sxqxsxqqqsqqx?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211 + 212.35. Let i = n + -1.75. Put 4, 2, i, 31 in decreasing order.\nAnswer: 31, 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 84. Suppose 4*s - 22 - 8 = w, 3*w - 5*s + 76 = 0. Let q be (-1 - -1) + -1 - w. What is the greatest common divisor of q and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -18, -4, 11, 1546, -3 in decreasing order.\nAnswer: 1546, 11, 3, 1, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 136*z - 1601. Suppose -4*n + 93 = -3*u, 0*n + 5*n + u = 121. What is the least common multiple of n and g(-11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -24*x + 795. What are the prime factors of q(-43)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 18*m + 11. Let x be z(17). Let h = 17 + x. Calculate the least common multiple of h and 25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111011010011 (base 2) to base 11.\nAnswer: -22436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 380 - 562. Let f = l - 94. What is the smallest common multiple of 33 and f?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/(1\/20). Let s = 30 - t. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127 + 25 - 115)*(1 + 1 + 0)*(t**4 - 2*t**4 - 2*t**4) as o + j*t**3 + y*t**2 + b*t + a*t**4 and give a.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 400*f**2 - 3*f + 2. Give l(1).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502 divided by 8.\nAnswer: -251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -560518*g**2*v**3 - 971*v**3 - v**2 - 52 wrt g.\nAnswer: -1121036*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41878835.\nAnswer: 5, 41, 281, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12728513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112519, 112534, 112553, 112570, 112579, 112574, 112549, 112498?\nAnswer: 112415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2305, -4\/9, 165 in increasing order.\nAnswer: -4\/9, 165, 2305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 838*p - 1152 - 17284 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1493*l - 9162 = 7261 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*26\/(-6) + 3. Let u(z) = 2*z - 2. Let d be u(2). Let b(q) = -3172*q - 31715. Let j be b(-10). What is the closest to 0.1 in c, j, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:16 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.0583 (c) -44\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/(-9))\/(12\/90).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 127*y**2\/2 + 35*y + 115. What is the derivative of r(t) wrt t?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 611*c + 1075. Let l(m) = 1220*m + 2158. Let y(p) = -11*a(p) + 6*l(p). Differentiate y(o) wrt o.\nAnswer: 599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66061408?\nAnswer: 2, 7, 42131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(85\/20 - 5). Suppose 2*h + m*f = 2, 2*f = 2*h + 3*f - 4. Suppose 4*x - h*t - 14 - 3 = 0, 0 = 5*x - 2*t - 16. Solve -l = -x*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16561*a**6 + 6*a**3 - 56*a**2 - 132*a + 5?\nAnswer: 1987320*a**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 150. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 162\/(-4)*(0 + ((-154)\/33 - -2)). Solve -4*z + 22*z = h for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 6 - 6)*(-7 + 23*v + 3 - 25*v)*(3 - 4 - 2) in the form i + x*v and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 345 + -344. Which is the smallest value? (a) -1.2 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24398510 to the power of 1\/2, to the nearest integer?\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 5*o**7\/42 + 11*o**4\/12 + 2*o. Find the third derivative of c(q) wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 255, 385, 517, 651?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1647 - -11531\/7. Sort 1, -0.3, -0.01, 47, j.\nAnswer: -0.3, -0.01, j, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 4326551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009639 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.88286 tonnes in grams?\nAnswer: 97882860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 39094472.\nAnswer: 3127557.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 33*v + 70. Solve -2*l = j - v, -j - 4 = 3*l - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201)\/(56079\/(-7998))*1*(-3)\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 195?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.46. Let y = -0.1894 + -0.3106. Let z be 2*1 + -4 + 1. What is the closest to z in y, h, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d. Let z(j) be the third derivative of -1\/24*j**4 + 0*j + 1\/3*j**3 - 1\/60*j**5 + 32*j**2 + 0. Calculate z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 3825?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 2, j: 2, q: 3, h: 4, s: 2}. What is prob of sequence shsm?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2629)\/(-187) + -9.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*q**2 + 10386 - q**3 - 77*q**2 - 10389 - 163*q**3.\nAnswer: -164*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3 + 2*t + 1\/2*t**2 - 29. Let r be s(0). Solve -12 = -r*d - 2*j, 0*j = 3*j - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.080833ng?\nAnswer: 0.000003080833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 46 + 55 = 0. Suppose -728849 = 6*w - 2446295. Let v be (0 - -8)*(w + z). Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 1. Let u be q(-2). Let x(a) = 7*a**3 + 4*a**2 - 7*a - 9. Let f(i) = i**3 + i**2 - i. Let h(m) = u*x(m) + 5*f(m). What is l in h(l) = 0?\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4169421, -4169394, -4169367, -4169340, -4169313, -4169286?\n\"Answer: 27*l - 4169448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-5)\/(-50)*40\/(-170)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 63984?\nAnswer: 703824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 - (102 - (25 - -1 - 0))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4)\/((-3 - 0)\/((-48)\/(-112)))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020354 rounded to four decimal places?\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 664*c - 2995. What is n(5)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47543297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33123002 (base 4) in base 3?\nAnswer: -10012122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3754, 4527, 5300?\nAnswer: 6073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69351913 + 0.06.\nAnswer: -69351912.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42, -83, -124?\n\"Answer: -41*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4983*t - 2490*t - 2490*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:54 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 11. Calculate m(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -85140*u - 88209*u + 164872*u as x + k*u and give k.\nAnswer: -8477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3025*c + 7559. List the prime factors of f(12).\nAnswer: 61, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-18)*-2)\/(19*(-1)\/(-513)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3340043 or -3340040?\nAnswer: -3340040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -17, -2, 4, 2, 5 in increasing order.\nAnswer: -17, -2, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87552 and 32148.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let v = -2887\/4 + 722. Which is the closest to u? (a) 2 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*u + 401*u = 35. Suppose -3*z = 193 - 463. Suppose 0 = -4*w + u*w - z. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 11*q**5\/60 + 4*q**2. Let c be (2\/8 - 0)\/(17\/68). What is n(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 3*t + 11, -4*t - 20 = 0. Let h = l - 3. Solve 3*p + 2 = -h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:35 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 304826 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-5 - (-4 - (-17 + 9)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 8*f + 12. Let z be h(9). Solve -6 = m - z*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53155409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4*y. Let x be t(4). Suppose -v + 3*g + 16 = x, 7*g - 3*g + 32 = 4*v. Suppose -5*q = 5*u - 80, 4*u - v = 8. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose 6 = -j*l + l. Suppose 2*b - 34 = -w - 9, 0 = -3*w + 3. Calculate the greatest common divisor of b and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*-59\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31433231 (base 5) to base 8.\nAnswer: 1005160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 2, c: 1, a: 1, w: 2, z: 2}. What is prob of picking 1 j, 2 z, and 1 c?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1520 and 54.\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.74 + 1478?\nAnswer: 1470.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d)*(d**3 - 2*d + 2*d + (d**2 + 0*d**2 + d**2)*(-d + d - 5*d))*(33 - 44 + 37)*(3*d + 0*d - d).\nAnswer: 936*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 8*a**2 + 425 + 2*a - 152 + 29 + 4*a**2.\nAnswer: -4*a**2 - 2*a + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49139*l**3*x**2 + 2*l**3*x + 6*l**3 - l**2*x + 303*l**2 + 8*l*x**2 + 3*l*x wrt x.\nAnswer: 98278*l**3 + 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31693767 to the nearest integer?\nAnswer: 5630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10334354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 39\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 35*z**2 - 755*z + 253. Let u be r(50). Let a = -2 + 4. Solve 4*s - 3*s + a*m - 6 = 0, u*s + m = -2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(3\/4))\/a**(-1\/2))\/(a\/(a**(-8)*a)*a\/(a*a*a*a*a**(2\/7)\/a)) assuming a is positive.\nAnswer: a**(-139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268988 greater than 6269002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*s - 3836 = 83*s + 2524 + 1783 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9 = -49. Suppose 4*z = 2 + y. Let a be ((-9)\/(-3))\/z - 3. Which is smaller: a or -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x**2 - 9*x**2 + 6*x**3 + 7 wrt x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*l - 5*l. Let m(f) = -f + f**2 - 2 + 5*f + 0*f. Let i be m(l). Solve -2*n - i*n - 3*b - 3 = 0, 4 = -3*n - 4*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -0.4 (b) -0.3 (c) -1 (d) -4426 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(4719) + sqrt(4719)*-4)\/sqrt(3).\nAnswer: -165*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 190 (b) -0.3 (c) -5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrvr when four letters picked without replacement from {j: 3, r: 4, m: 1, g: 7, v: 2}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2\/5, -509, 2\/13, 17, 2, -4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3 + 3 - i**2. Let o(k) be the third derivative of 0*k - 6*k**2 + 0 + 0*k**3 + 11\/24*k**4. Give o(m(l)).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 216 - 156 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**2 - 30126*j - 45831984 = 0?\nAnswer: -1342, 11384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -122*r + 2. Let q(o) = 5*o. Give i(c) + 3*q(c).\nAnswer: -107*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 17007411.5 to the nearest ten thousand.\nAnswer: 17010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527*i**2 + 4*i**3 - 2*i**3 - i**3 - 2*i**3.\nAnswer: -i**3 + 1527*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 469634.1 kilometers in meters?\nAnswer: 469634100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90006287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 36 = -2*n, 2*n = -c - n - 3. What are the prime factors of (-8)\/c - 5376\/(-36)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**9\/3600 - j**8\/5600 - 7*j**4\/12 + 7*j. Let u(z) be the third derivative of v(z). Factor u(k).\nAnswer: -3*k**3*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26 = -8*r + 3*r, 4*q - 10 = -3*r. Let h = 18 - 22. Which is the closest to -2? (a) q (b) 2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 47*k**2 - 210*k - 54. Give x(42).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111111110000011001 (base 2) in base 5?\nAnswer: 313402341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/3, 0.2510257, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2163627, -2163651, -2163675, -2163699, -2163723, -2163747?\n\"Answer: -24*j - 2163603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**5\/11 - 20*l**4\/11 - 18*l**3\/11 - 4*l**2\/11 = 0 for l.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, 3, -3\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i - 4*i + 2*i - i + 5 wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31861565 - 12.\nAnswer: -31861577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -31*k**5\/60 - 8*k**2 - 10*k - 2. Let l(c) be the first derivative of t(c). Let r(g) = g**2. Give r(l(i)).\nAnswer: 961*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(1900))*6*-5)**2 + 1.\nAnswer: -450000*sqrt(19) + 42772501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-6 + (-152)\/(-24)). What is the closest to -0.1 in o, 95, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 1. Let v be k(-4). Suppose 15 = v*o - 25. Let g be ((-10)\/o)\/((-6)\/144). Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 876, 2062, 3744?\nAnswer: 5922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from qqoqooooqqoqoqqq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 214232115639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Let m(v) be the first derivative of -7*v**3 - 2*v - v**5 + 11\/2*v**2 + 2 + 17\/4*v**s. Factor m(k).\nAnswer: -(k - 1)**3*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*3)\/(sqrt(96)\/sqrt(128)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1963 = -c - 1903. What is the least common multiple of c and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021092049 to 7 decimal places.\nAnswer: -0.0002109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 496*a**3 - 18*a**2 - 9*a - 151. Let i(t) = 247*t**3 - 8*t**2 - 4*t - 76. Let w(c) = 4*b(c) - 9*i(c). Find the first derivative of w(s) wrt s.\nAnswer: -717*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8517 and 9048?\nAnswer: 25687272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:45 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.222?\nAnswer: -1.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 + -121. What is the remainder when 72 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/(187\/33)*5\/3. Let i(u) = -u**2 + 6*u - 1. Let h be i(5). Solve -h*b = 5*l + d + 12, -5*b - 13 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 2*a**3 + 2*a - 5*a + a**4 + a - 83 in the form n + q*a + x*a**4 + m*a**2 + v*a**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 + 10 = 0. Let t be (-4)\/20 - j\/(-70). Which is the nearest to 1? (a) -4 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)\/l)**(2\/7)*(l**(-10)\/l*l*l)**6 assuming l is positive.\nAnswer: l**(-380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-3) + (-1)\/(-3). Let p = i - -5. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2990*r**2 - 6168*r**2 + 0 + 15455*r**2 to m*r**2 + l + u*r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -330, -693, -1298, -2229, -3570, -5405, -7818?\nAnswer: -10893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w**4 + w**4 + 54*w**3 - 5*w**2 + 5*w**5 - 39*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859*k + 841*k = -600228. List the prime factors of k.\nAnswer: 2, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 + 92*x**2 + 640*x + 1200 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*q - 12 = 0, 2*o - q = -2*q + 5. Suppose 0 = -s - 4*w - 3 - 18, -11 = s + 2*w. What is the remainder when 20 is divided by (-11)\/(-2 - s\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/3 - 26*r**4 + 7452*r**3 + 612360*r**2 + 12912048*r.\nAnswer: -2*r*(r - 123)*(r + 54)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36618 + 53729. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 5. Is k(0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -4\/3 (c) 3 (d) 4 (e) -3\/5 (f) -0.088\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -125*x**2 + 11*x + 11. Let w(m) = 42*m**2 - 4*m - 4. Give 4*b(k) + 11*w(k).\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 18*y**2 - 6*y - 25. Let x be o(-18). Suppose 2*b - x + 17 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(-3)*f))**(-40))**(-7)*((f**(-8\/3)\/f)\/(f\/(f**9*f)))**(-7) assuming f is positive.\nAnswer: f**(-2632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4783 + 13257413293.\nAnswer: 13257418076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(-14)*h**(-4)*(h*h*h*(h\/(h\/(h*h**(-3\/2)*h)))\/h)\/h assuming h is positive.\nAnswer: h**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 13.751?\nAnswer: -13.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 794800 = 12716785\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 13 (b) -75 (c) 3 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366 or -11341\/31?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278963947 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -14823.\nAnswer: -59292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/4)*j)\/j**(1\/7))\/((j*j**(-2))\/j**(-2))*(j\/j**(-1\/2))**(2\/31)\/(j**(-1)\/j*j)**(-1\/36) assuming j is positive.\nAnswer: j**(-5171\/3906)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16614 divided by 923\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6807750 is divided by 401?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*-1.8.\nAnswer: 106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 120 = 5*k, -5*p = k - 0*k + 5. Let x = 30 - k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-9 - (17 - 5 - (-32 - -33))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - (sqrt(51) + (sqrt(255) + sqrt(255)*-2)\/sqrt(5)) - -1*sqrt(3264))\/((sqrt(30) - (sqrt(30) - (sqrt(120) + sqrt(30)))*-3)\/(sqrt(360)*1)).\nAnswer: -54*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3624*k - 85 = 3607*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136\/12471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/30)\/s)*s**(-19\/2))\/((s**19*s*s*s*s*s)\/((((s\/(s**(-4\/3)*s*s*s*s*s))\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3513 - ((-48)\/16 + 20). Calculate the greatest common divisor of a and 760.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8573 is divided by 4276?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 3 + sqrt(720))**2*2 - sqrt(720)*-1*4.\nAnswer: 336*sqrt(5) + 5778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 12, -2\/15, 2\/23, 34\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkttkffqfff. What is prob of picking 1 k and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-663)\/(-4488)*-11*-8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -6*w**5\/5 - 6208*w**4 - 41417398*w**3\/5 - 3290667764*w**2\/5 - 13268127432*w + 9140377680 = 0?\nAnswer: -2545, -42, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 5 = 4*j. Let m = 3 - -5. Calculate the remainder when j is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Suppose 3*j + 10 = -5. Let k be -33*3\/(-15) - (-3)\/j. Let t(i) = -5*i - k*i - i - i. Determine t(h(s)).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2166.6 - -1486. Round i to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {m: 12, p: 6, c: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7084*p + 14158*p - 7077*p. Let c(j) = 34239*j**2 - 1921*j + 1921. Let s(r) = -107*r**2 + 6*r - 6. Let v(z) = 6*c(z) + 1921*s(z). Calculate v(f(h)).\nAnswer: -1017*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2) + 100\/5. Let w(m) = -5*m + t - 1 + 4*m. Is w(10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 23*b - 34. Let o be s(24). Let d(a) = a**3 + 10*a**2 - 2*a - 18. Let p be d(o). Factor -2\/5 + 2\/5*h**p - 2\/5*h + 2\/5*h**3.\nAnswer: 2*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 60*x**2. Let i(b) = -b - 2705 + 2705. Determine d(i(t)).\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*1*(-3)\/(-6). Does 19 divide 76 - ((1 - 6) + x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 118, 0.6, 1\/5, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -830152399 and -141.5?\nAnswer: 830152257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 636*n - 29835. Determine z(47).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -60*q**2 + 41*q - 172. List the prime factors of u(-5).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v - 9. Let n be w(-13). Suppose 3901 = -22*i + n*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148151 = 15*d + 2786. Let z(g) = 0*g + d + g - 9696. Calculate z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/754390 and -123\/107770?\nAnswer: 754390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 11*y**2 + 8*y - 24. What is the tens digit of f(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25625 and 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/(b**(-2)\/b))\/((b\/b**(-2\/9))\/(b**4*b)) assuming b is positive.\nAnswer: b**(409\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4652 - -7419. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33279 and -7.4.\nAnswer: -246264.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t - 46. Let x be y(6). Solve v + z + z - 9 = 0, x*v + 2 = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13130 is divided by 250.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 7*i - 108 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(3) - sqrt(27)) + sqrt(3))**2 - (sqrt(363) + 1)) + 4.\nAnswer: -11*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-5)\/30*-3*1. Suppose k = -7*j + j + 228. Is j greater than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -107. Suppose 5*j - 4*b - 1 - 19 = 0, 3*b - 47 = -4*j. Suppose w + g = j. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20200, 0, -4 in decreasing order.\nAnswer: 20200, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:00 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14270900 divided by 5\nAnswer: -2854180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3)\/3 + (-55)\/(-25)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-9)\/30)\/((-12)\/(-10)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + (-119)\/(-21). Suppose -2*s = -2*u - 630, 2*s + f*u = 352 + 278. Suppose -5*j = -20, 4*j = 5*k - j - s. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 4*i - 5*b, -i - 4*i + 137 = 2*b. Let u = 18 - 25. Let q = 22 - u. Calculate the greatest common factor of q and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -268, -519, -866, -1303?\n\"Answer: f**3 - 57*f**2 + 15*f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -496 + 532. Suppose 2 - 1 = -q. Sort z, q, 5 in decreasing order.\nAnswer: 5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 29736.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5106 - -16285. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 - 26760480?\nAnswer: -26760680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -17, 4 in ascending order.\nAnswer: -17, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2. Let d(c) be the second derivative of -5*c**4\/12 + 15*c. What is p(d(j))?\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 72*q + 210. Let k be n(69). Solve 5*j - 2 = k*g + 18, -2*j = -2*g - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4 - u**3 - 667*u**2 - 172*u + 1401689?\nAnswer: 8*u**3 - 3*u**2 - 1334*u - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80060129.\nAnswer: 19, 47, 89653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 1:27 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/27552 and 7\/3?\nAnswer: 27552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2))**(-13) assuming a is positive.\nAnswer: a**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvlvlvlfvffv. Give prob of sequence llv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3413, -6822, -10231, -13640?\nAnswer: -17049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 - 3*i + 3. Calculate t(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -111. Suppose -16 = -y*h - 4*c + c, 7 = -5*h + 3*c. Do h and -2\/239 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {i: 1, f: 3, d: 1, t: 2, n: 1, v: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6533 by -3.\nAnswer: 6533\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/21)\/h)\/(h*h**(-3\/8))*h\/h**(-3\/4)*h**(-1\/4)*(h*h**(-2\/7)*h)\/(h**(2\/27)\/h)*(h\/h**5)\/(h*h**(1\/4)*h) assuming h is positive.\nAnswer: h**(-5791\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 + 0?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/12 + 718*k**2 - 2*k - 2. Let v(n) = -4*n + 6. Let z(m) = -1. Let p(l) = v(l) + 6*z(l). Calculate f(p(d)).\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/10*42*(-40)\/(-1344)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 - 1)) + 44 + -47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*z - 5*z - 8, -2*j + 12 = 2*z. Suppose -5*x - f + 196 = 0, -j*f = -x + f + 60. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.02 - -55.02. Put f, 17134, -1\/2 in decreasing order.\nAnswer: 17134, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.1, 15, -7, -6, 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 23 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*k + 114 = -199*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/120 - n**5\/10 - 7*n**4\/3 - 10*n**3 - 2*n**2 + 10. Is z(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 5, -2.73, -4\/5, -351\/5 in ascending order.\nAnswer: -351\/5, -2.73, -4\/5, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 198, 197, 206, 231, 278, 353?\n\"Answer: r**3 - r**2 - 5*r + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 13*n**2 - 14*n - 17. Let c be z(-12). Let y(d) = -d**3 + 17*d**2 + d - 7. Let s be y(17). Suppose 4443 = -c*t + s*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 8*f**2 - 9*f + 33. Let d be y(-5). Let t(q) = -6*q**d - 45*q - 50*q - 2*q**2 - 49*q + 195*q - 50*q. Determine t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -866.\nAnswer: 2\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(10\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 299\nAnswer: -1\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081303?\nAnswer: 7, 73, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93254371 or 93254372?\nAnswer: 93254371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 - 1166 = -72*z + 500. Calculate the greatest common divisor of 4069 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160.2 and -0.5.\nAnswer: 159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2270 and -43\/11350.\nAnswer: 11350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468782, -468784, -468786, -468788?\nAnswer: -468790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 33466444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635 and 96139?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Let a be (4 + -5)\/((4\/(-78))\/(-2)). Let c = r - a. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + -2 - (2 + sqrt(343)))**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:03 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s - 3. Let y(d) = 3*d - 1. What is 2*m(o) - 2*y(o)?\nAnswer: -32*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*i + 2971 = 25*i + 97700. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51097235 and 4.\nAnswer: -204388940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0373741 to two dps.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 31.97. Let s = -0.03 + p. Let r = -4 + -1. Put s, 2\/7, r in descending order.\nAnswer: 2\/7, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 + 6*f. Let k(v) be the third derivative of v**5\/12 - 5*v**4\/24 - 3*v**2. Let o(g) = 4*k(g) + 3*p(g). Factor o(l).\nAnswer: 2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330190?\nAnswer: 2, 5, 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:29 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 82*m + 3300.\nAnswer: -2*(m - 66)*(m + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-1))\/((744\/16)\/(-31)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 362044 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1008 + -1024. Which is bigger: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z, 0 = -3*g - 2*z - 2*z + 58. Suppose 17*w = g*w - 27. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 8. Let u(x) = 13*x**2 - 14*x + 3. Let t(l) = -11*l**2 + 15*l - 2. Let w(r) = 3*t(r) + 2*u(r). Let i be w(1). Give z(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 100. Let f be 2\/9 - k\/(-27). Suppose 8*p - 45 = f*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*g - d + 32 = -635*g, 76*g + 7*d - 35 = 75*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -28\/3067?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2001, -4012, -6021, -8028, -10033, -12036, -14037?\n\"Answer: d**2 - 2014*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*t = -403*t - 379*t + 216 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.124+65971\nAnswer: 65975.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19387, -22303, -25219, -28135, -31051?\nAnswer: -33967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -18, -7, 5\/6 in increasing order.\nAnswer: -18, -7, -0.2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-3 - -1) + 0). Let j(m) = 2*m + 7. What is the tens digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126186 - 126184.7. Let v = -0.1 - 0. Put v, -2\/3, l in descending order.\nAnswer: l, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(81)*3))\/(2*(sqrt(175)\/sqrt(7))\/sqrt(5)))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -20. Which is the second smallest value? (a) t (b) 1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**3 + 7*g**2 - 8*g**2 + g**2.\nAnswer: 25*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3172)\/(-30) + (-285)\/(-171) + 3. Which is smaller: w or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 9. Let v be b(3). Suppose p + 4*n = 14, p + 2 = v*n - 2*n. Let r(c) = c**2 + 5*c + 2. Does 34 divide r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*1)\/(-4)*-12. Let f(k) be the third derivative of k**5\/60 - k**4\/4 + k**3\/6 + 6*k**2 - 203*k - 2. Determine f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2478, 1654, 744, -294, -1502, -2922, -4596?\nAnswer: -6566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 + 209*p**4\/7 + 1538*p**3\/7 + 916*p**2\/7 - 296*p + 480\/7 = 0. Calculate p.\nAnswer: -4, -2, 2\/7, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**4\/6 - i**3\/3 + 34*i**2. Let w(o) = -63*o + 33. Let g(k) = 33*q(k) + 2*w(k). Let r(h) = -4*h**2. Calculate g(r(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(20\/12 + -1). Let i be s*1\/(-4)*24. Suppose -2*n + i = 8. Calculate the remainder when 29 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3*w**3*z + j**3*w**3 - 2907*j**3*w**2*z + 5*j**3*w - 12*w**2 + 13 wrt z.\nAnswer: -j**3*w**3 - 2907*j**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 2*g + 2*q - 362, -608 = -2*g + 2*q. Let x be (-7 + g\/45)*3\/(-4). Which is the second smallest value? (a) -4 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53339974 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106504908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**5\/20 - b**4\/12 + b**3\/6 + 72500*b**2 - 4*b. Let c be f(0). What is c rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*u + 103*u + 2 - 2 to the form s*u + f and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 66935 = 3*q + 24579, -q - 3 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)*z)**(5\/14) assuming z is positive.\nAnswer: z**(25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308533 is divided by 34259.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252) + -4 + (sqrt(252)*1 + sqrt(252))**2 - ((5*(0 + sqrt(252)))**2 - (1 + (-2*sqrt(252))**2)))*3.\nAnswer: -12858 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 106452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.9. Let q = 0.16 - -0.04. Let u = q - 0.3. Sort d, -3\/5, u in decreasing order.\nAnswer: d, u, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 - 88*n + 968 = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g**2 - 73*g**2 + 7*g - g**2.\nAnswer: -34*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)\/l)\/(l*l*l**(-1\/21)*l) assuming l is positive.\nAnswer: l**(-1369\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66391945229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than -4\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165474*g + 165474*g - 11*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-25)*(-1)\/4)\/(6\/20)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 228*f - 461. Determine m(3).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 158. Suppose s + 4*s - h = 0. Suppose -q = -12 - s. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 - -0.37. Which is bigger: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let f = 82 - 82.5. Put f, h, -3 in decreasing order.\nAnswer: f, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**2. Let d(y) be the second derivative of 7*y**3\/6 - 16*y. What is d(h(p))?\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 3*d - 3*w, -3*d + 64 = -78275*w + 78280*w for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.1 - -7. Let u = 643\/4 + -161. Which is the nearest to 0.2? (a) u (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 147.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -9417 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/9 + 677026*q\/3 + 1354048 = 0.\nAnswer: -2031072, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3113 and -482616\/155 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96139 by 19.\nAnswer: 96139\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1725 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099214 minus 1568937.4?\nAnswer: -1568937.499214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05342565758 rounded to 4 decimal places?\nAnswer: -0.0534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1446 - -1470. Let d = 122 + -83. Calculate the remainder when d is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 9*v**2 - 10*v + 7. Suppose p + 2*w = 14, 0 = 2*p - 3*p + w + 2. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 - -0.06. Let t = 0.16 + -0.06. Sort t, l, -1\/6 in decreasing order.\nAnswer: t, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -29. Let h = -78 + 53. Let m = h + 29. Which is the biggest value? (a) r (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 4537.4.\nAnswer: -4537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 2. Let t be y(-13). Suppose -t + 3 = -i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 200?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59160780 by 3402.\nAnswer: 17390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 5. Suppose 24 = -0*s + 4*s. Let f(m) = 1 + s - 1 - 5*m. Calculate -5*f(z) - 6*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -250103546 minus -3?\nAnswer: -250103543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 - 123*p**2 + 12 - 249*p - 3 - 286*p**2 wrt p?\nAnswer: -818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224 - -221. Let i(q) = 2*q - 5. Let s be i(-6). Put s, -2, c in ascending order.\nAnswer: s, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38994*v - 2*v**2 + 39144*v - 78351*v + v**2.\nAnswer: -v**2 - 213*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**9\/42 - g**5\/12 - 7*g**2\/2 + 5*g. Let s(n) be the first derivative of p(n). Find the third derivative of s(m) wrt m.\nAnswer: -1440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 5*k = 10. Suppose -k*w = -4*s + 48, 38 = 2*s + 4*w - 6. Suppose -s*x + 10*x = -800000. Round x to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672012599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6488 and 69\/16.\nAnswer: 12976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5459128.\nAnswer: 2, 37, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 61*u**2 - 17*u + 2. Let s be v(3). Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5973235 divided by 7?\nAnswer: 5973235\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z - z**3 + 0*z**3 - 3*z**3 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -447 + 955. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -33) + -58 + 6 + 46?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {q: 6, v: 4, h: 1, f: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.9 (b) -4 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 11*j - 715 = 0. Let p be 598\/j - 2\/11. Suppose c - 3*c = p*b - 88, 66 = 3*b - 4*c. Calculate the highest common factor of b and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6) - 3\/6. Solve v + 5 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 132, 552, 1232, 2172, 3372, 4832?\n\"Answer: 130*t**2 + 30*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(161\/(-4347))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 2*k + 7*k + (3*k - 5*k + k)*(-1 - 1 + 0) + 0 + 0 - 2*k - k + 3*k - k + 4 - 3 - 19*k + k as b*k + w and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(7\/9)\/j))*j)\/j)\/(j\/(j**29\/j*j)) assuming j is positive.\nAnswer: j**(250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29598, 28886, 28174, 27462, 26750, 26038?\nAnswer: 25326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.5 - -20.29.\nAnswer: 56.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 241963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 28 = 5*z, -3*s + 115 = -z - 3*z + 94 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r - 1. Let j(x) = 3*x**3 - 4*x**2 + x + 8. Let s(g) = j(g) + 2*v(g). Let t be s(4). Solve 0 = -t*u + 6 - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let c(t) = -652*t**2 + t. Determine q(c(y)).\nAnswer: 1956*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/(-3)*32\/(3008\/1551)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74\/9? (a) 2\/9 (b) -1 (c) -5368 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1714466066655\nAnswer: -1714466066649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let j = 915 + -898. Let c = 31 + -24. Solve d + c = r - m*d, -4*r = 3*d + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -3, 1, -1\/10, 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 20*k + 9. Suppose -4*l = 4*m - 24, -2*l - 2*l + 9 = -m. Does 23 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -151619 and -0.089.\nAnswer: -151619.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 198861939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 10, -43\/526 in increasing order.\nAnswer: -75, -43\/526, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*w - 7*w + w + 4*w + (2 - w - 2)*(0 - 2 + 3) - 145 + 145 - 118*w)*(4*w - 4*w + w) to t*w + z + j*w**2 and give j.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m**(-23)*m)\/m*m)\/m**(-17) assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(-1*sqrt(1539))**2 + -4 + -2*sqrt(2736)*5.\nAnswer: -9238 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-36)*42\/(-56)*6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6402943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-26)*1)\/(20\/120)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18300 and 12?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 21*g - 4. Let y(u) = 9*u**2 + 105*u - 21. Let f(p) = -21*c(p) + 4*y(p). What is the second derivative of f(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94407 - 131 = -1924*n for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.997166 - -0.009834. Let f = t + -0.007. Let n = f + -22.00019. Round n to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 587928*n - 19993020.\nAnswer: 3*(n - 34)*(n + 196010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**0*(l*l\/((l\/((l**(3\/7)\/l*l)\/l))\/l))**(-7\/11) assuming l is positive.\nAnswer: l**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(0 + 0 - p) + 3 - 3 - 2*p + (-2 + 4 + 0)*(-19*p - 40*p + 9*p).\nAnswer: -103*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 352, 5, 1148\/3?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*a - 311*a - 204*a.\nAnswer: -959*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16479275 or 98875643\/6?\nAnswer: 98875643\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51411480379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 846091058 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:46 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 2356868*a**2 - 9427520*a - 9427536.\nAnswer: 4*(a - 589221)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1584278*g. Let i(q) = -34*q - 2. What is i(j(f))?\nAnswer: 53865452*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 20*f + 38. Let w be h(-11). Let i = 82 - w. Suppose -64 = -2*v + i. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61678 - 579*h - 61678 to x + d*h and give d.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.937 + -12. Let m = 0.0630074 + k. What is m rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1614973370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -207, 2, 0, -5, 3, 4 in decreasing order.\nAnswer: 4, 3, 2, 0, -2, -5, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -6657a2?\nAnswer: 665799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/9 and -73\/2382?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -404*a**2 - 212. Let m(q) = 81*q**2 + 42. Let z(o) = -2*d(o) - 11*m(o). What is the first derivative of z(w) wrt w?\nAnswer: -166*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2539 to three dps.\nAnswer: 0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51424 - -21752333\/423. Find the common denominator of 25\/6 and f.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 8254*r + 3 - 11731*r to l + i*r and give i.\nAnswer: -3477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501295*g**3 + 6 - 1501296*g**3 - 6.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8359559837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 (base 11) in base 10?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**2. Let a(m) = 1288*m - 7. Determine s(a(l)).\nAnswer: 16589440*l**2 - 180320*l + 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 2*k**2 - 3*k. Let a be m(-3). Solve 3*h = -2*q - 10, -5*q = -a*q - 2*h - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3559, 0.2 in decreasing order.\nAnswer: 3559, 8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + n - 35 = -118, 109 = 5*u - 3*n. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from vxvkvvvxkkvkk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - u - u + 8 = -8, -3*n = 90*u - 92*u + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 6007\/997, -4\/7?\nAnswer: 6007\/997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007301564 rounded to six decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380 - -626. List the prime factors of x.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*s - 37. Let h = 3 - -11. What is the lowest common multiple of 7 and 80\/h - s\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = 3*i. Suppose 2*l = 3*m + i, -l + m - 13 = 4*m. Let n(v) be the second derivative of v**4\/12 + 5*v**3\/6 + v**2\/2 - v. Give n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (-2 - -5) - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3338, -3331, -3320, -3305?\nAnswer: -3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1387)\/532 + (-2)\/(-8) and 91\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-59)\/(-2))\/(1\/2). Suppose 60 = -5*o + 3*b - j, -6 = -2*b. Let l = 33 + o. Solve -l = -5*s - 4*k, 2*s - 7*s + 4*k = 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395 + 399. Solve 4*b = x - s*x - 1, x + 11 = -4*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:11 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:02 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-2)\/((-7)\/(-3)*(-3132)\/(-609))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4825, 5557, 6279, 6985, 7669, 8325, 8947?\nAnswer: 9529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let c(k) = -8*k. Let u(x) = -803*x - 5 + 5 + 650*x. Let w(o) = 117*c(o) - 6*u(o). Calculate z(w(a)).\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -58, -58, -48, -22, 26, 102, 212?\n\"Answer: i**3 - 4*i**2 + i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -2 - 0 - -6. What is the greatest common factor of 40 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15804066973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*z - 3748. What is the remainder when z is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 y when three letters picked without replacement from kiyik?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 19*w**2 + 1. Let b(q) = q**3 + 2*q**2 - 1. Let k be b(1). Is t(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 573*k - 4018. What is f(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by -7\nAnswer: -212\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jggjjjjjgjjgjj. What is prob of sequence jjgj?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -2*d**3\/3 + 115. Let h(n) be the third derivative of -7*n**5\/15 + 7*n**2. Determine h(i(p)).\nAnswer: -112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9432 - -9443. Solve 35 - 57 = -t*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-8))\/(13\/(-260)). Let i(d) = -k + 4 - 2 + 2*d - d**3 + 2*d**2. Calculate i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*q - 24, -34*b - 34726 = -2*q - 34738 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from qqddqqdqddqddq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 296627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1904 and 4624.\nAnswer: 32368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5\/3 (b) -25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 45.1. Which is the biggest value? (a) w (b) 0.6 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 + 3*o - 1. Let k = -3643 - -3646. Let s(y) = 5*y**2 - 3*y + 1. Give k*s(f) + 2*a(f).\nAnswer: 7*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 37 + 1 = 0. Let j = o - -32. Is 14 a factor of 4*(j\/2 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(50)*-5 - -4*sqrt(50)*1)*-3)\/(-6*sqrt(360) + sqrt(10) + sqrt(10) + (sqrt(10) - sqrt(70)\/(sqrt(42)\/sqrt(6)))))**2.\nAnswer: 3645\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 plus -3942860?\nAnswer: -3942883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zscccccccrzcc. What is prob of picking 1 c and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1249619838 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 9*w**2 + 7*w + 25. Calculate f(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 64, 84, 104, 124, 144?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -73092*p**2. Let y(l) = 2*l. Give y(f(m)).\nAnswer: -146184*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400085564?\nAnswer: 2, 83, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 27*a + 73. Let v be r(-10). Let o(w) be the third derivative of 0 - 1\/360*w**5 + 0*w + 0*w**v + 10*w**2 - 1\/144*w**4. Factor o(p).\nAnswer: -p*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 637*l**3 + 5*l + 1. Let s(g) = -3183*g**3 - 2*g**2 - 26*g - 5. Let o(c) = 11*b(c) + 2*s(c). What is the units digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8001 - -1)\/(34\/(-1275)). Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p - 0*p. Let w(v) be the first derivative of 0*v**4 + 0*v**2 + 0*v + 1\/5*v**5 - 2 - 1\/3*v**p. Find the third derivative of w(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8360759*s*x**3 - s*x - 4*s + 4*x**2 + 6557*x wrt x.\nAnswer: -50164554*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -30, -0.4, -3.4, -39, 0?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = y + 3*b - 0*b, -3*y = -3*b + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 107 + -63 + -39 + 52\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*j**2 - 18392*j + 1008.\nAnswer: -(j + 252)*(73*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54779 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**8\/2520 - y**7\/315 + y**6\/90 - y**5\/45 + y**4\/36 + 4*y**3\/3 - 4. Let i(u) be the third derivative of g(u). Solve i(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 7*f - 0. Is f - (-3)\/(-3) - -84 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2\/3*i**2 + 0 - 8\/3*i = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*i + 40, -2*i + 19*d = 22*d - 1. Let m(u) = i*u - 3*u + u + 0*u. Let w(c) = 7*c. Calculate m(w(p)).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004034 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 2*t - 2 - 2, 2*q - 10 = 2*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 271, 266, 261, 256?\n\"Answer: -5*k + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 12034008?\nAnswer: 12034011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -393*y + 394*y - 102. Let x = y - 39. What is the greatest common factor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -5 (b) -0.2 (c) 9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - -8.3. Let i = n + -14. Which is the closest to 0? (a) 1 (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2778, 0.4, -5, -2\/17, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 9. Let a(u) = -u**3 - 6*u**2 + 6. List the prime factors of a(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -279523\/26 >= -10752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 46)*(0*s**4 + 4*s**4 - s**4) - 32*s**4 - 31*s**4 + 22*s**4.\nAnswer: -155*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -8, 30*u + 2939062 = 35*u - 3*j. What is u rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2 - -1)*1. Suppose w - 2*g = 5*w - 180, -w = -m*g - 55. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 4*g**3 - 5*g**3 + 31*g**2.\nAnswer: g**3 + 31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -964\/3 + 322. What is the biggest value in 10, -0.4, t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/5 - 11342104*p**2\/15 + 26464934*p\/15 - 15122824\/15 = 0 for p.\nAnswer: -1890353, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718612853.\nAnswer: 7, 37, 2774567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 1.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4082965363 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-2 - 4*u + 2) - 2*u + 6*u - u)*(3*u**2 - 2*u**2 - 2*u**2 + (-2*u + 2*u + 2*u)*(-2*u + 0*u + 4*u)).\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -210124 - 43.7235\nAnswer: -210167.7235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8, -u - 2*i = -2*u + 109. List the prime factors of u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/72)\/(25235\/20600).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 495*x + 5450. Let y be w(-11). Solve -3*h = 5*f + 42, y*f + 17*h - 15*h + 38 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 733 times -3.74702\nAnswer: -2746.56566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 - 145. Let d(t) be the third derivative of 0*t + n - 13\/24*t**4 + 13\/6*t**3 - 10*t**2. What is the first derivative of d(q) wrt q?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 5*o**2 + 3*o**2)*(5 - 4*o - 5) - o + o + o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((9 + -9)*1)\/2 + (3 - -337232) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 32*a - 72*a**2 + 81*a**4 + 52*a**5 - 472\/3*a**3 - 28. Find c, given that q(c) = 0.\nAnswer: -2, -2\/5, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-20) - (-1 + 0)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(((-90)\/72)\/((-375)\/(-240))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*n**3 - 211*c*n*w + 341*c*w + 6*n**3 + 4*w wrt n.\nAnswer: -6*c*n**2 - 211*c*w + 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x - 75*x + 36*x - x**2 + 5 + 28*x. Let w(u) = u**2 - u - 1. What is -h(y) - 3*w(y)?\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531 (base 7) to base 10.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40838891?\nAnswer: 457, 89363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00221 less than -1330.818?\nAnswer: -1330.82021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p + 1)*(2*p**3 + 3*p**3 - 3*p**3 + (-3*p**2 + p**2 + 3*p**2)*(3*p - 4*p + 3*p) - 3*p**3 - 2*p**3 - 3*p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*d + 25. Let v(f) = 0*f**2 + d*f**3 - 9*f**3 + 6*f**2 - 3*f**3 - 4 - 4*f. What is the remainder when 21 is divided by v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*a + 996*a - 5*q = 26, -q - 12 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 3*i - 4*u, -i = i + 4*u - 78. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274.5 - 275. What is the third biggest value in o, -60, 2?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**4*v + 2*f**3*v**2 + 2*f*v**2 + 10*v**2 wrt f.\nAnswer: 60*f**2*v + 12*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o - 35 + 7*o + 5*o + 17 + 18.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(1763\/(-7175) + 10\/35)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7137 is divided by 238.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*j + 166 = 0, 4*j - 332 = -h + 5*h. Sort h, -2\/9, -0.2 in descending order.\nAnswer: -0.2, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 26798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 + 0.4. Let y = c + -3. Let x = -459\/973 + 6\/139. What is the closest to 1\/3 in x, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:33 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 2*u - 2535 + 2521, 4*x - 1 = -5*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n = 52*n + 1168 + 158 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + -2*(3*(sqrt(272) + 1) - sqrt(272)) + 2 + -2 + -3)**2.\nAnswer: 256*sqrt(17) + 4417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/(q*(q\/q**(-3))\/q*q)))*q)\/q*q*q)**35*(q**(1\/5)*q)**(-23\/4) assuming q is positive.\nAnswer: q**(-1119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/3 + 5*q**2 - 12*q. What is the derivative of y(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87312.\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 - 5*y**5 + 5*y**5 + (2*y**3 - 4*y**3 + 0*y**3)*(-2*y + 2*y - 2*y**2) - 3*y**3 - y**5 + 3*y**3 + 2*y**5 - 3*y**5 - y**5.\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166896238.0000142 + -166896202. Let l = b - 36. Round l to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*m + 26*m + 70. Let n(j) = 3*j - 33. Let z be n(m). Calculate the highest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56297 + -0.567. Let j = -0.001 - p. Round j to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1662.08 + 1662.04. Suppose 7*t = 2*t - 2*w + 24, 2*w = -t. Suppose t*l - 9 = 3*l. What is the fourth biggest value in l, 1, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7237711027.\nAnswer: 76579, 94513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-25))\/(42\/70)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 18 = 12*n. Let t(f) = -f**2 - 2*f + 1. Let a(m) = 7*m**2 + 4*m - 15. Let x(y) = n*t(y) - a(y). Let s be x(7). Are s and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/7 + 14780*i\/7 - 27306050\/7 = 0. What is i?\nAnswer: 3695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001743 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsrrrsoo. What is prob of picking 1 o and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -85.8. Sort r, -0.4, -4, 0.2 in decreasing order.\nAnswer: 0.2, r, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let d(r) be the first derivative of -94*r**3 - 262. Determine f(d(w)).\nAnswer: 1128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34770 divided by -1159\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -326*r**2 - 1082*r - 861. Determine c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012002 + -20?\nAnswer: 11011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose -61 + 425 = 2*u. Let d be 2\/4 - 119\/u. Which is the third biggest value? (a) x (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2355991 times -3\nAnswer: -0.7067973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20945?\nAnswer: 5, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4235) + sqrt(4235) - (sqrt(5040) + -2*sqrt(5040)))\/(sqrt(112)*1 + sqrt(567)*1).\nAnswer: 34*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253524732 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/54828577?\nAnswer: 2\/54828577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 88 + p - 102 + 5.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6435, 6852, 7269, 7686, 8103?\n\"Answer: 417*k + 6018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n + 2. Let f = 11 - 15. Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = -c, -10 = -2*p + 3*c - 3. Let r(m) = 32*m**2 + 4*m - 3. Is r(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 + 23*y. Let r be g(-6). Calculate the smallest common multiple of r\/((117\/(-6))\/(-13)) and 6\/(-21) + (-44)\/(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3616, 6638, 11682, 18748?\n\"Answer: 1011*u**2 - 11*u + 2616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3365 - 3042. Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790.996482603262 plus 0.2?\nAnswer: -790.796482603262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/18)\/(20\/(-18))*3505. Let a(j) = 168*j**2 + 5*j - 6. Let n be a(4). Let v = n + k. What is v rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vooovxivoiiiivi. What is prob of picking 2 o and 1 v?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2)\/(0 - (-1)\/(-45)). Let x be 30\/c - (1 - (-44)\/(-6)). Calculate the greatest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261780.16 - 260658.9513. Let z = d - 0.2087. Let w = z + -1121.499. What is w rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-1\/7))\/x**(-1\/16) assuming x is positive.\nAnswer: x**(359\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-4186)\/1274)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9171429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 3\/2, -43, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24970 and 2006?\nAnswer: 26976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 7. Let i be s(8). Sort -4, i, -0.6 in decreasing order.\nAnswer: -0.6, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 104?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Suppose 15*c - 21*c + 18 = 0. Suppose n - 4 = -4*w + 5*n, n + 1 = c*w. Solve t - a*t = w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 + 6*t + 1. What is o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - ((16 - (-11 - -13)) + (-16 - -12))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*a - 336 - 177. What is the smallest common multiple of a and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x - 4. Let l(n) = -n**3 + 6*n**2 + 5. Let f be l(6). Let s = -65095 + 65090. Which is the closest to 2\/3? (a) x (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:24 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Let f(r) = 2*r - 2. Let i be f(m). Suppose -6*c + i = -4*c. Solve c = -o - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1249998 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 - 1114\/3. Let x be (-2)\/(-10) - 10\/(-75). Factor -1\/3*y**2 - a*y - x.\nAnswer: -(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgjpjtn. What is prob of sequence nj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -65. Let x be (4\/(-6))\/(c\/6). Suppose 5 = -9*r + 4*r. Is x at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 31. Suppose 34 = 2*p + 40. Let s be w(p). Which is smaller: s or 53\/2?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*q**2 + 136*q - 12.\nAnswer: -4*(q - 3)*(11*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/w)**(2\/75)\/((w*(w*w**(2\/7))\/w)\/w)**(-4\/17))\/(w**(3\/8)\/(w*w\/(w*w\/(w\/(w\/(w**(-1\/6)*w)))*w)))**24 assuming w is positive.\nAnswer: w**(-46289\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*x - 6, -x + 3 = 4*z - 6. Let r = 2 + z. Suppose r*g = -g - 450000. Round g to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 39613884?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19220*g + 20. Let o be x(4). Let q be (-19516)\/o + 6\/(-10). Let v = q + -6\/61. Which is the smallest value? (a) 0.07 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -95*z**3 - 2*z**2 - 3*z + 4. Determine f(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 166102, 330581, 495060, 659539, 824018, 988497?\n\"Answer: 164479*a + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, 2\/5, 1, 3.\nAnswer: 0.38, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4538884?\nAnswer: 2, 7, 47, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27097253 or -189680780\/7?\nAnswer: -189680780\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 473, 709, 945, 1181, 1417?\nAnswer: 1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Let m(c) = -154*c. Determine 6*m(o) + 187*v(o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 5*y. Let b be y\/5 - (-11)\/5. Let s = -1 - -5. Solve -s - 4 = -b*k - 5*j, -j = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3567*x**4 + 3567*x**4 - 1 - 2*x**5 - 4*x**5 + 2*x**5 + x**5 + (-2*x + 1 - 1)*(-5 - 2*x**4 + 5) + 2*x**5 + 3*x**5 - 3*x**5.\nAnswer: 3*x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -43*i**4\/12 - 901*i**3\/6 + 10*i**2 - 14*i. Find the first derivative of j(q) wrt q.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3*r**2 - 7*r. Suppose o = -3*o + 20. Does 5 divide a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 26*f - 22. Let j be z(-27). Let v be 1\/(2 + -3)*-4. Suppose 12 = j*k - x, -v*x = 2*k - 2*x - 12. Sort k, 0.14, 5 in descending order.\nAnswer: 5, k, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 + 272670*s**3 - 39*s**2 + 14*s**2.\nAnswer: 272670*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.18352674 rounded to three decimal places?\nAnswer: -2.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 2)*(-1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -615.1 + 615. What is the biggest value in x, -3\/7, 1, 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -4*q + 2, 2*q = -n + 8. Let z(h) = -6*h**2 - n*h - 3 + 2*h - h**3. Let y(k) = k**3 + 7*k**2 - 9*k - 14. Let a be y(-8). Calculate z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00444444 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/40))**(-2\/19)\/(j**(-6\/23)*j*j**(-2\/9)\/j) assuming j is positive.\nAnswer: j**(37793\/78660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -11*n**8\/56 + 11*n**7\/105 - 68*n**5\/15 - n**4\/6 - n**3\/6 - 2*n**2 + 17*n - 113. What is the third derivative of o(k) wrt k?\nAnswer: -3960*k**2 + 528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 1, e: 1, y: 1, z: 1}. Give prob of sequence iyu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.238? (a) -4\/19 (b) 0.06 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 123*p**6\/40 + 467*p**5\/60 - 96*p**2. Find the third derivative of l(z) wrt z.\nAnswer: 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1997 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7)\/(r*r**4*r))\/(r\/(r*r**0\/r*r))**(-21) assuming r is positive.\nAnswer: r**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28362 is divided by 5581?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - k**3 - 7*k**3 - 35*k + 9*k**3 + 35*k + (-3*k + 3*k - k)*(-k**2 + 0 + 0).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -49*s + 144. Calculate b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 2*l - 11, 28 = 4*l - 5*p. Suppose 0 = -4*y + l*k + 1344, -150 - 193 = -y - 3*k. List the prime factors of y.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*v**2 - 2*v**3 - 119*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpppbppppppppppp. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*21\/(-252)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/36 and (936\/(-84) - -12)*(-196)\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) -2\/29 (c) -3 (d) -3\/5 (e) -0.5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.6 - -6.6. What is the biggest value in 5, -5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2 and (-237 - -247) + 13292\/(-1323)?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 97 - 83. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqj when four letters picked without replacement from {j: 7, k: 5, x: 1, f: 3, q: 3}?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:06 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -4*p. Suppose 5*u - 2*j - 1181 = j, -p*j = 3*u - 695. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*n + 216, -64*n + 69*n = 4*c - 160. Solve c = 49*i - 39*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*19453.\nAnswer: 1167.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l**5 - 23\/24*l**4 + 0 + 16\/105*l**7 + 0*l**3 + 0*l**6 + 0*l + 35*l**2. What is the second derivative of j(o) wrt o?\nAnswer: 384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34740 and 6336?\nAnswer: 6114240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 225.6244 days?\nAnswer: 19493948160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 0, -4, 8, -697 in descending order.\nAnswer: 138, 8, 0, -4, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2960727 and 1617?\nAnswer: 2960727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 14, -50, 5\/3, -1.4, 0?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1100110110101 (base 2) to base 7\nAnswer: -25121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -86, -135, -184, -233?\n\"Answer: -49*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 631 + 458 = 11*x + 440, 2*h + x + 85 = 0 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -818.41 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a. Suppose a = -z - 2*m - 0 + 20, m + 20 = 2*z. Suppose -z*s + 266 = -154. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 + -165 + (3 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/3 - 26*i**4\/9 - 1436*i**3\/9 + 4816*i**2\/9 + 1280*i\/3 = 0.\nAnswer: -15, -2\/3, 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 b when three letters picked without replacement from gbibbbiggg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 453364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13 + 0*z**2 - 9 + 2*z**2 - z**3 + 2*z**2. Let f(w) = 9*w**3 - 33*w**2 - 33. What is -4*f(j) - 33*y(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6344867.\nAnswer: 97, 149, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5548 - -5547.9999997693. Round l to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 65*v = -12*v - 366624. List the prime factors of v.\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102109 and 3857.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4433707695201091 + 4433707648699548.59999919. Let p = 46501550.7 + z. Let l = -8.3 + p. Round l to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 86*t - 739. Give c(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 59, 63, 69, 77, 87, 99?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 443*r - 4421. Let p be x(10). Are p and 217 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*r - l, 4*l + 2 + 10 = 0. Sort r, 2, -4, -5 in descending order.\nAnswer: r, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4330 + 4320. Which is the nearest to 0.1? (a) -0.2 (b) s (c) 3 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1160 and 300?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008))**2*5.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/13600*51*(-2)\/(-3)*40?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:46 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/115 and 91\/50.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3581*v + 4125*v = 35360 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57027 + 200?\nAnswer: 57227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-9)\/(27\/3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*f**3*s - 23*c*f**2*j*s + 60*c*f**2*j + 161*c*f*s**2 + 5*c*j - 553*f**3*j*s**2 + s wrt s.\nAnswer: 322*c*f - 1106*f**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -228*l - 2. Let v(t) = 341*t + 3. Give 8*n(a) + 5*v(a).\nAnswer: -119*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/45)\/(16\/(-40))*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1183 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*s = -222*s + 55080. Calculate the remainder when s is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3292 - -2031. Let y = 1884 + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3*w + 16*s**3 + 13425*s**2*w**3 - s**2 - 431 wrt w.\nAnswer: 2*s**3 + 40275*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 892632 and 17166.\nAnswer: 892632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 432217928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 137. Suppose 2*m + g = k, 5*g - g = 2*m - 86. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195326*j**2 + 76352*j wrt j?\nAnswer: -390652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/24 - 5*c**3\/3 + 4*c**2. Let q be 19\/5 + 2 + 6\/30. Suppose -q*o - 1 + 1 = 0. Calculate a(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20409105 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*g - 22 + 1000*g + 22.\nAnswer: 2147*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + v - 6*v = 17, -4*v - 22 = -o. Suppose 0 = -o*a + 5*a - 36. What is the units digit of (a - 11)\/(1\/23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 77*s**2 - 573*s - 454. Determine h(-84).\nAnswer: -1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/29*(2145\/(-242))\/13.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339.96 + 340. Sort -17, 5, d in descending order.\nAnswer: 5, d, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260182 is divided by 315039?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 658188 divided by 2334?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 21. Let k(m) = m**3 + 5*m**2 - 6*m + 5. Let t be k(-6). Is t at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/30*4\/3. Let c(f) = 2*f**3 + 2*f + 1. Let d be c(-1). Let b be (3 - d\/(-3))\/(-9). What is the closest to 0 in 2\/5, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 4. Let s be (-45)\/10 + 2 + 5\/(-10). Let i(y) = 4*y + 8. Let t be i(s). Determine j(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270900138*s**5 - 444351339*s wrt s?\nAnswer: 5418002760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1090\/1425 - (12\/(-10))\/(6\/(-4))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oasaaoooasoa. Give prob of sequence oo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12073101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/2)*k\/k**(3\/19)*k*k*(k*(k\/k**(-13))\/k)\/k**(-3))**(-1\/12) assuming k is positive.\nAnswer: k**(-887\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/12 and -73\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24593 is divided by 3481?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1241047 and 4429?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/6 - 253435*t**3\/4 - 32114776329*t**2\/4 - 1356528151756809*t\/4 - 2034719970243813\/4 = 0.\nAnswer: -126717, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 63\/64)*(-20832)\/1176 and 109\/44?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1128459158311 + 1128459158311 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161760, -161449, -161126, -160785, -160420?\n\"Answer: d**3 + 304*d - 162065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((((j*(((j*j\/((j\/(j*(j**3\/j)\/j))\/j))\/j)\/j)\/j)\/j)\/j)\/j*j))\/(j**0\/j))**12 assuming j is positive.\nAnswer: j**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20298 and 17.\nAnswer: 20298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 295?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(43\/(-7998)*-31) - -19\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107259.3 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqiqruuqqiirquqriqq. What is prob of sequence quu?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3579786 is divided by 71?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -39*d + 0*d + 53*d + 2*d. Let s(q) = -230*q. Calculate y(s(p)).\nAnswer: -3680*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-26) - 3840\/(-52).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(4) + sqrt(33))\/sqrt(11) + 5*sqrt(12).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 2, a: 1, m: 1}. What is prob of picking 2 h and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340672?\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*1484093\nAnswer: 2968186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1194319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6736, 13477, 20224, 26977?\nAnswer: 33736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/48 and -91\/456.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/13 (b) 28 (c) 18 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + g - 15, -20 = -4*y + 3*g. Let p = -5 + y. Solve -a + p*a = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3 + 4*a**2 - 4*a + 4. Let f(l) be the first derivative of s(l). What is the units digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 w, and 1 a when four letters picked without replacement from gxxawwuww?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -5, 1\/7, -2646.6, -7.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/26)\/(3\/39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.2\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 0, 4*t - t - 10*g + 2*g = 6*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-11 + 0 + (-38 - -43)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 551.3.\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f - 3*f + 4*f to the form q*f + b and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101170 + -5?\nAnswer: 101166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 11*f**2 + 12*f + 39. Let a be p(11). Let t = a - 171. Solve t = -3*j + 9 + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 - 1071 = -13*n. Calculate the highest common factor of n and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(2\/29)*h**4*h**5 assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 864*y**2 - 21*y + 45. Let q be i(5). Let a = -11234 + q. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/9 or 1?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 16*g - 42*g - 30*g. Let b(q) = -q**2. Calculate k(b(y)).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from mommoooooooovoommooo?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10105*t**3*w - 26*t**3 + 211*t**2*w - 4331*t**2 + 6*w - 40 wrt w?\nAnswer: 10105*t**3 + 211*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/(-4))\/((-17710)\/276 - -65)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 6 = 138. Suppose -n = 4*y - 28, n = 5*n + y - 112. What is the least common multiple of 8\/18*126\/n and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-768)\/80)\/(14\/10) and 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 733 + -1051. Let j = b - -315. Let q(c) = -3*c - 2. Give q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 400 + 2*12\/(-24). Suppose p = 2*c - 1077. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 168. Let g(y) = -13*y**2 - 5*y - 5. Let h(b) = -b + 3. Let r be h(5). Let u(z) = 3*z**2 + z + 1. What is n*u(v) + r*g(v)?\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.006 + -52.006. Let s = 51.9999648 + c. Round s to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 2112, 4681, 8288, 12939, 18640?\nAnswer: 25397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -449 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.193515 to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-336)*(-1)\/8*2\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6317*n - 6163*n - 2241*n - 3923*n to w + c*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.635 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**4 - 3*c**3 + 3*c**2 - c - 133. Suppose l(j) = 0. What is j?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**3 - 235*n**2 + 3080*n - 7260 = 0?\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3768723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -984 - 2696. What is i rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 34. Suppose 18*q - 4277 = z*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.139585 and 603.\nAnswer: 591.860415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*j**2 - 1824*j**2 - 173*j**2 - 9125*j**4 - 3*j**6 + 5536*j**4 - 526*j**2 wrt j?\nAnswer: -360*j**3 - 86136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 5990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4185 and 1747053?\nAnswer: 812379645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 50, -8, -120, -304, -578, -960?\nAnswer: -1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 - 7*y - 1. Let r(l) = l. Let u be r(1). Let j = -6 + u. Let v be m(j). What is the highest common divisor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 107.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 10*p**2 + 4*p**2 + 3670 - 3670.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, j: 2, f: 3, o: 7}. What is prob of picking 1 h and 1 f?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3860480 and -63\/965120.\nAnswer: 3860480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 6*m + 3. Let t be y(2). Let g = t - -7. Does 2 divide g - (-5 - (0 + 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7540?\nAnswer: 1\/1508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1715, -1721, -1749, -1811, -1919, -2085, -2321?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/15 - (-5 - (-48)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 - b**4\/8 + b**3\/6 - 2*b**2. Let f be j(-4). Is 4 a factor of (f + 2)\/((-3)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229116 - -21.\nAnswer: 229137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - o - o - 21, h + 3*o + 20 = 0. Let q = h + 28. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 4 + 4)*(-3*m**3 + 4*m**3 + m**3) + (0*m**2 + 2*m**2 + 0*m**2)*(2*m**2 - m**2 + m**2).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*t**5 - 12*t**4 - 223*t**2.\nAnswer: 600*t**2 - 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2, -i + 4 + 1 = 3*o. Suppose -n + 5*t = i, 0*n = -2*n - t + 7. Solve 4*v - 1 = n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r + 11 = 2*p, 0 = 2*r + 6. Suppose z = -p*z + q - 468, -2*z = -3*q + 182. Let v = 171 + z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 - 2235\/11. Let p(b) = -b**2 + b - 5. Let d be p(0). Let o = 0.1 + 0. Put o, d, s in increasing order.\nAnswer: d, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 2. Let x be (4 - -1) + (-3)\/1. Let r be n(x). Solve -r*o - 16 = -4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p, -t + 2*t = 5*p + 3. Suppose -26 = -t*q + 1. Suppose 2*k - d - q = 0, 5*k + 6*d - 4*d - 27 = 0. Solve -4*f - 7 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-388)\/(-10) - (-1)\/5 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 441 + 1387. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t. Let w(f) = -f**2 - f. Let q(s) = -6*d(s) - 78*w(s). Let o be q(-1). Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 - 9*o + 12. Let f(s) = -s**3 + 8*s**2 - 22*s + 108. Let j be f(7). Let z be q(j). Solve 3 = z*l - 18*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 16, 41, 76, 121, 176, 241?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9112764?\nAnswer: 2, 3, 759397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33967, 33966, 33965, 33964, 33963?\n\"Answer: -k + 33968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-3))\/((-8)\/20). Suppose j - 11 = -3*p + 2*p, n*p - 4*j - 19 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5544*b**2 + 277203*b + 110. Calculate s(-50).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 2*m + 3. Let y be s(-3). Let l = 5 - 3. Suppose 2*a = -p - 2456, 5*a - l*a - 3*p + 3702 = y. What is a rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 159920 from 0.04978582.\nAnswer: -159919.95021418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 2:54 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose -i*m + 4*y + 15 = 42, m + 4*y + 15 = 0. Let b = 5 + m. Put b, -1, -4 in descending order.\nAnswer: -1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 388 = 411. Let x = t + 142\/3. What is the closest to -1 in -0.2, x, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 (base 12) in base 2?\nAnswer: 1011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000229088541 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 7*t - 39, 0 = -422*r + 425*r - 2*t - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -113197632.\nAnswer: 33959289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + 80\/(6 - 2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13234891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*d - 0*d + 124, 0 = -o - 2*d + 31. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, i: 2, c: 1, r: 3, v: 1}. Give prob of picking 2 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13\/6, 23, -6044?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(-1 + -4 + 0 + -1*sqrt(1053) + (-1 + sqrt(1053))*4))**2.\nAnswer: -303750*sqrt(13) + 5973750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 13*j - 55. What is the units digit of b(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 96648*t**2 + 96639*t**2 - 193346*t**2.\nAnswer: -59*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43\/5 + 9. Let j = -0.9 + 1. Let k = 0 + j. Which is the closest to z? (a) -0.4 (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**2 - 28*d + 75. Is u(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.521635m?\nAnswer: 0.003521635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 121 + 0*k - 772 - 242.\nAnswer: 2*k - 893","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + j. Let s = -82 + 88. Sort -2, s, j in increasing order.\nAnswer: -2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - 1a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -909.54?\nAnswer: -909.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 1358. Determine p(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let x(b) = -8*b + 1. Let w(p) = -12*g(p) - 3*x(p). Let r be w(3). Let c be 5*(r\/(-25) - -1). Let o(y) = y**3 + 3*y**2 - y + 1. Determine o(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 + 28*p**2 - 136*p - 160 = 0. What is p?\nAnswer: -10, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 + 11 = -2*v, 16 = 2*o + 2*v. Find the common denominator of (243\/6)\/(o + -4) and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 3*z**2 - z - 4*z**2 + 6. Suppose -5 = -w, -4*w = p - 0*p - 25. Let q be j(p). Solve q*i = 2*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 10. Let z = 0 - 0. Let h = -61 + 77. What is the least common multiple of u(z) and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1740 (b) 2\/7 (c) -20\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9749\/6 - 1624. Let k(l) be the third derivative of 8*l**2 - i*l**4 + 0 + 0*l**3 + 0*l. Let h(j) = -j. Give k(h(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 - 7*z - 2. Let s = -11 + 9. Let u(q) = -8*q**2 + 8*q + 3. Let x(b) = s*u(b) - 3*l(b). Suppose x(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3241362670803*g**3 - 12965456919906*g**2 - 24946779*g - 12.\nAnswer: -3*(g + 4)*(1039449*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 + 56*y**2 - 106*y + 10. What is c(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 2:47 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:24 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/((-32)\/(-8)) + 9. Let x(i) = 2*i**3 - 2*i**2 + 3. Let d(v) be the first derivative of 3*v**4\/4 - v**3 + 4*v + 16. Determine b*d(a) - 4*x(a).\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73128151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6*b)*(-3 + 5 - 1) + 90 - 90 - 82*b.\nAnswer: -88*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2336442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422*j**3*q**2 + 37*j**3*q - 15*j*q**2 + 1115*q**2 wrt j.\nAnswer: 2532*j*q**2 + 222*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 196565 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1565 (base 12) to base 2\nAnswer: 100111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqoooqoll. Give prob of sequence ql.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdcgcexdxx. What is prob of sequence xced?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1304.\nAnswer: 521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3094.160451 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41108 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgyx when four letters picked without replacement from uyyxgxbxyu.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79573 - -1164.9\nAnswer: -78408.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {e: 4, i: 1, m: 1, j: 3, d: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9282.6 - -4?\nAnswer: -9278.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 45 - 5)*(-c - 5*c - 8*c).\nAnswer: 1134*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z - 11*z + 4*z**2 + 2*z - 14 - 3*z**2. Determine x(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -12. Suppose -4*k + q = k. Let b = 1 - 2. What is the nearest to 2\/9 in k, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5913361.\nAnswer: 29, 203909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 3. Let w be l(0). Let p = 5 - w. Solve -s**p + s**4 + 11 - 11 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114338641 divided by -114338641\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 275212262 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n**3 + 2*n**2 + 126*n - 1811. Is i(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t. Let z(y) = -1647195*y + 2. Determine a(z(h)).\nAnswer: 11530365*h - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21156109.\nAnswer: 13, 17, 29, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11553578 and 161626?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 + 3. Let c be y(3). What is the third derivative of -i**2 - 7*i**5 - c*i**2 + 11*i**5 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9 + 13 - g - 28.\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3206 and 129\/99050?\nAnswer: 22682450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 24 = -4*c, 2*c = c - 5*m - 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*y + 9 - 2 + 4 + 16 wrt y.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 5, p: 1, s: 2}. What is prob of sequence ky?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from wwwwwwwlwwl.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 382475 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -20*z + 61, -11*p + 6*p + 3*z + 7 = 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -11, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*j**2 + 151*j**2 + 9 + 37 to the form c*j + w + l*j**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = -2*f - 3, -g = -2*f - 6. Let w(l) be the third derivative of 0*l + l**2 + 1\/24*l**4 + g + 0*l**3 + 1\/60*l**5. Factor w(t).\nAnswer: t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7554 (base 11) to base 7.\nAnswer: -41046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 6. Let z be c(-6). Suppose -r + 3*y + 16 = z, r + r = 2*y + 44. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 117\nAnswer: -139\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-98))\/((4350\/203)\/5)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g**(1\/5)*g)\/(g**(5\/2)\/g*g**(-5))*((g**(1\/16)*g)\/(g\/(g\/(g\/((g*g**(4\/7))\/g)*g))*g))\/(g*g*g**(-2\/7))**(-13) assuming g is positive.\nAnswer: g**(17707\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 6. Let j(p) = 14*p - 115. Let a be 1702\/207 + 4\/(-18). Let y be j(a). Is y greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 10*p + 9, -3*c - p - 92 = -101 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -209 in decreasing order.\nAnswer: 0, -1, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6274 - (2\/5 + (-72)\/(-20)). Suppose 666*s - 672*s + h = 0. List the prime factors of s.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - f**2 + 4*f - 1. Let g be i(3). Let w = -36 + g. What is the remainder when w is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13010973 is divided by 3710?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1933333\/40 + 48294. Let s = 197\/5 + w. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -14*o + 68. Suppose -o*g + 7288 + 15113 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 4 - (-5 - 3)\/4. Calculate the lowest common multiple of 158 and q\/(-36) + (-37)\/(-6).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66.997 - -0.003. Let m = 1640 - 1575. Let y = h - m. What is the second biggest value in 1, y, 1\/11, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2067 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33946?\nAnswer: 2, 11, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1755 = -2*u, 11*u + 1739 = c + 13*u. What is c rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -78.7. Let l = -7.3 + 7. Let g = h - l. Which is the third smallest value? (a) 0.2 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*c = 42, -4*k - 5*c + 29 = -k. What is the units digit of k\/12 - 88\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 7 + 0*s - 3 - 3. Let c be g(1). What is the third derivative of -2*o + 2*o + o**3 + c*o**2 wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 104 = -4*f, -2*d - 3*d = -f - 114. Let t(c) = c - c + d + 6*c. Let i be t(-4). Which is greater: 2\/67 or i?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 99*l**2 - 48*l + 125. List the prime factors of g(43).\nAnswer: 2, 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 77. Let d = 147 - f. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366687113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*l + 949*l - 312*l + 292*l.\nAnswer: 1597*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2504 = -10*a. Let d = 318 - a. Solve 12 + 8 = d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44241, -88495, -132745, -176991, -221233, -265471, -309705?\nAnswer: -353935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5284311602 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 1:06 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133865?\nAnswer: 5, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 4.5. Let y = 3 + 0.5. Let h = y - i. What is the second biggest value in 2\/15, 5, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -11. Suppose 3*d - 2 = -2*r + 16, b*r - 3 = 3*d. Suppose d*q = 2*q + 10. Solve -5*l + c + 4 = 12, 5*l - q*c + 20 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62523)\/12*(-4)\/(-18). Let f = 1151 + j. Find the common denominator of -61\/9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -124*o - 2. Let i(t) = 9*t + 1. Determine -3*i(s) - z(s).\nAnswer: 97*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2736 and 121068.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/((-11)\/(-198)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.16 - -1.01. Let m = 0.35 - g. Which is the closest to 0.1? (a) -3\/7 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmgmapamammm. What is prob of sequence pm?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/7, -1583, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*l**2*z**2 - f*l**2 + 20*f*l*s**2 - 2*f*l*s*z - 2*f*l*z - 4*f*s**2*z - 40*l**2*s**2*z**2 - l*z**2 + l wrt l.\nAnswer: -6*f*z**2 - 2*f - 80*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 383056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-87))\/((-150)\/4350)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30\/7 + -39\/14. Which is the smallest value? (a) -1\/7 (b) 4\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5009977*-2.4\nAnswer: 12023944.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 265*c**5 - 2*c**2 + 61*c + 4. Let n(h) = -530*h**5 + 5*h**2 - 123*h - 10. Let u(f) = -2*n(f) - 5*o(f). Find the second derivative of u(z) wrt z.\nAnswer: -5300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 34*r**2 + r. Let o be x(1). Let n = 134 + -57. Suppose -11*u + 0 = -n. What is the highest common factor of u and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d + 2913 - 3473 = 0 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let t = 5 + v. What is the nearest to 0.1 in -0.1, t, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**2 - y. Let v be (-2)\/(16\/52)*-6. Suppose 3*z - v + 12 = -4*q, -4*z = q - 23. Is 12 a factor of j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {l: 9, x: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w + 3*z - 556727 = 52*w, -2*z = 2*w - 278360. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let f be s(0). Let m = 184 - 183. Sort 0.4, m, f.\nAnswer: f, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**2. Let c(x) be the second derivative of x**4\/6 + x. What is y(c(d))?\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -140*a**3 + 2*a**2 - 40*a - 169. What are the prime factors of y(-4)?\nAnswer: 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3006.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmd when three letters picked without replacement from {r: 7, m: 4, a: 6, h: 1, d: 2}.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385925634 and 10044.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286701650*y**2 + 342*y + 66463 wrt y.\nAnswer: 573403300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228127391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9476 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 2. Let j(g) = 3*g. Let a(q) = 2*c(q) - 5*j(q). Let r = -11 + 18. Determine a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.2 - 19. What is the smallest value in 0.5, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1372))\/((sqrt(4) - sqrt(256))*6).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 502423399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 1503*r**2 - 18369*r + 551. Give v(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b - 31. Give p(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 8*b**2 - 10*b - 7. Let y be d(-9). Suppose -4 = -v - y. Suppose 864 = 3*g - 4*c + 3*c, -c = v*g - 571. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139874 = 58*v - 119270. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894 is divided by 471?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3737, 7472, 11207, 14942, 18677?\n\"Answer: 3735*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8729330, 17458664, 26187998, 34917332?\n\"Answer: 8729334*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 915392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 280*t + 3915 = 0.\nAnswer: 27, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1302 - -1366. Let n(q) = 2*q**2 - q + 1. What is the remainder when k is divided by n(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125155 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: ((9\/6)\/(-3))\/((-6)\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-14) - (-3558)\/42?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 31 + 3)*(-4 + 3 + 3)*(3*y + 2*y + 0*y) - 3*y - y + 3*y to d + o*y and give o.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5891 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 19*w**2 + 20*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 113 + (-2 - -5) + 0. Suppose 43*c = 14*c + o. Solve -2*j = 3*s - c, -5 = 2*s + 5*j + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 11) to base 3.\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/15))\/d)**(-45) assuming d is positive.\nAnswer: d**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:20 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1593.00615 + 1593. Round o to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Suppose 0 = y*t - 5*k + 25, 4*t - 2*k = -0*t - 10. Solve t = c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-427)\/(-35) - (-8)\/(-160)*4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1714\/7 + 1712\/7. What is the smallest value in 6\/5, 5, 2\/129, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w - 27. Suppose s = 5*c + 25, 0*s - s + c + 33 = 0. Calculate the remainder when s is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 260, 281, 312, 353, 404, 465?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*c - 67*c + 3*c)*(-3 + 0 + 4) to i*c + u and give i.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 43 = 49. Suppose -r + s*r - 20 = 0. Solve 0 = -3*f - 5*c - 25, -r + 3 = f - 2*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29912630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {t: 6, q: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 5. Determine p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -121102 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8 + 6 + 2*v - v + v. What are the prime factors of n(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133\/(-266))\/(4\/(-128)*-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(-3)\/2. Let u(z) = -6*z**2 - 2*z + 5. Let w(j) = -j**2 + 1. Suppose -2*o + 8 = 2*b, -3 = 2*b - 1. What is c*u(f) + o*w(f)?\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11566, 11590, 11628, 11686, 11770, 11886, 12040, 12238?\n\"Answer: t**3 + t**2 + 14*t + 11550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 46*m**4 - 7*m**2 - 6*m - 25. Let t(l) = -46*l**4 + 8*l**2 + 7*l + 23. Let d(f) = 6*t(f) + 7*v(f). Find the third derivative of d(k) wrt k.\nAnswer: 1104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 53. Let o(a) = -a - 13. Let l(f) = -2*k(f) + 9*o(f). Let x be l(0). Let h(p) = -2*p - 1. Let z(d) = 10*d + 6. Calculate x*h(r) - 2*z(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57.02048 millimeters?\nAnswer: 57020.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3010 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 48, 92, 162, 264, 404?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-80)*8*2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59735*d + 29784*d + 29779*d = -14448 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*o - 16, 0 = -6*o + 3*o + 3*r + 15. Suppose -4*w + 3 = -2*a - o, -2*a - 2 = -2*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*z + 183. Let n = 34 - z. Let y(m) = -m**3 + 5*m**2 + 3*m - 4. Calculate y(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 7*n**3 - 3*n**3 + (4*n**3 - 4*n**3 - 2*n**3)*(5 - 3 - 1) - 19*n**3 - 46*n**3 - 43*n**3.\nAnswer: -104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*a**5 + 3*a**3 - 38*a**2 - 3*a**3 + 188*a**5 + 210*a**2 wrt a?\nAnswer: 7800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + -1?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/(l**3\/l)*l**(-2)\/l*((l**(-1\/3)\/l)\/l)**(-20)*l*l**(1\/3)*l**2*(l*l**(-1))**(-17\/2) assuming l is positive.\nAnswer: l**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 8*g**2 - 5*g + 20. Let i be q(-6). Calculate the greatest common divisor of i and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12249 times 2\nAnswer: -24498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453546.\nAnswer: 2, 3, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.132 in 5, 0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -5833*u**3\/3 - u**2 - u. Let k = -2 - -5. Let i be a(k). What is i rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1089, 1094, 1099?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7804516 millilitres in litres?\nAnswer: 0.0007804516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*-2)\/sqrt(2))\/(sqrt(500)*-1 + sqrt(5) + (1*sqrt(20))\/sqrt(4)) + 5.\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.148 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2374155 and 34685?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-27))\/((-7)\/4*(-3)\/7)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llg when three letters picked without replacement from {l: 5, g: 1, i: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-178539.\nAnswer: -1249773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/50 and 91\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18313.\nAnswer: 2\/18313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(243) + 5)**2*4 + (-5 + 5*2*sqrt(243))**2.\nAnswer: 180*sqrt(3) + 33173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9811 - -9902. Calculate the remainder when 4003 is divided by r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4 + 5*n**3\/3 - 577*n**2\/2 - 125*n. What is the derivative of p(u) wrt u?\nAnswer: 24*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18734 divided by 2\nAnswer: 9367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - 6. Let k(v) = v**3 - 4*v**2 - 5*v - 7. Calculate k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.512, 2, 2328?\nAnswer: -0.512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 6\/23, -35?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18704\/21)\/(-8)*-3.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390093.\nAnswer: 3, 11, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 6*g**2 + 7*g - 5. Suppose 6*h - 15 = 3*h. Let n be z(h). Solve 0 = -q - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2950 + 2945. Which is the fifth biggest value? (a) 4 (b) -9 (c) -1\/3 (d) -1 (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - 4*l**2 - 3*l - 7. Let g(m) = -3*m**3 + 3*m**2 + 2*m + 5. Let n = -310 + 220. Let s = -85 - n. Calculate s*j(q) + 7*g(q).\nAnswer: -q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2571*a + 3. Let k be m(1). Let u = -1272 + k. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/(-25) + 12\/30 + 178 is divided by (-1)\/4 + (-605)\/(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 7*x**2 - 12*x. Let k(r) = r**3 - 4*r**2 - 6*r. What is 7*k(o) - 4*v(o)?\nAnswer: -5*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 - 6*k + 7. Let x be r(4). Which is the nearest to x? (a) -0.1 (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2. Let d(m) = -2*m + 1. Let b(u) = -7*u + 6. Let r(c) = -b(c) + 6*d(c). Calculate a(r(j)).\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 167*z + 3397. Determine f(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240399, -480775, -721153, -961533, -1201915, -1442299, -1682685?\nAnswer: -1923073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3937892 * 0.1.\nAnswer: -0.03937892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4)*q)\/(q\/q**0)*q**4\/(q**(-2\/5)\/q))**(-2\/13) assuming q is positive.\nAnswer: q**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -21, -0.722?\nAnswer: -0.722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12896 and 38688?\nAnswer: 38688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1003 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g**3 + 3561*g**2 - 6189*g - 1770 = 0.\nAnswer: -1\/4, 2, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 24*j + 289. Let g be d(-12). Let k = 2 + -4. Let h be 5\/k*g - -1. What is the nearest to 2 in -0.3, h, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 + -11 + 2 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + c = -8, z + 8*c - 2 = 5*c. Let p be (-1)\/2*4\/(-10). Factor p*g**3 - 3\/5*g + 2\/5 + 0*g**z.\nAnswer: (g - 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61770 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5965, 23861, 53685, 95437, 149117?\nAnswer: 214725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16801*g + 49488. What is o(3)?\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 74?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p - 2*p)*(2*p - 3 + 3 + (2 - 6 + 2)*(5*p - p - 2*p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 13*u - 27. Let n(q) = 2*q**3 - 8*q**2 - 11*q + 21. Let i be n(5). Let x be v(i). Solve 17*p + x = 24*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 7*f**2. Let j be p(-7). Put 1, 4, j in decreasing order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/22*2384\/(-1 + 3). Let t = -229 + q. List the prime factors of t.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 36*m**2 - 204*m + 7. Let f be h(7). Solve f = 236*c - 230*c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-435)\/(-522)*-69.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 6 = 0. Suppose -g*t - 3 = -0*t. What is the common denominator of t\/(-3) + 716\/120 and 49\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**6*d)*d*d**20*d\/d**(-12)*d\/(d\/(d*(d*d**(16\/9)\/d)\/d*d)) assuming d is positive.\nAnswer: d**(277\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (20 + 4 + -11)*28*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 108?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 121*z**2 - 1741*z + 179. Give y(-134).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z - 96*z - 1 = -154*z + 4*h, 4*z - 2*h = 5*h - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, -0.5, 0.4, 36516, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 7992\nAnswer: -5\/3996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/((-2)\/(-4)). Let w = 46 - 11. Let s = w - 27. Solve -p*c = -s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - j = -7 - 0, 3*p - j - 5 = 0. Suppose 3*f - 70 = -p*f. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50990301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*a**2 - 4\/3*a - 2.\nAnswer: -2*(a + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/17 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/266)\/((-4)\/16)*7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/56)\/((-1755)\/162)*((-10)\/3)\/(-10).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - 6*sqrt(95)*1)\/sqrt(5) - (sqrt(475)*1)**2*2.\nAnswer: -950 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 6*b - 3. Let r be g(7). Let i(c) = -c**3 - 6 + c + c + r*c + 4*c**2. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 + -261.8. Let b = -25 - o. Let i = 0.8 + 0.2. Sort 4, -4, b, i in descending order.\nAnswer: 4, i, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1a0?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:46 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033212 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 488334502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 16. Let l be f(8). Which is the nearest to 0? (a) 4 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 9*s**2 + 22*s - 3. Let x(z) = -30*z + 439. Let i be x(15). What is n(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4799537695.\nAnswer: 5, 37, 41, 53, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (168\/(-4))\/((-15)\/10 - 0). Calculate the common denominator of (-1 - 246\/(-32)) + -1 and 38*i\/1440 + 9\/81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/23)\/(g*g**(-3\/8)\/g*g*g*g)*(g**(1\/7))**(-8\/17) assuming g is positive.\nAnswer: g**(-57997\/21896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819146?\nAnswer: 2, 409573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3043 = 120*p - 2203 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*k - 146 - 209 - 209 + 778 - 214.\nAnswer: -333*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 + 408975\/(-420). Let m = q - -1947\/2. Determine x, given that -23\/4*x + m*x**4 - 15\/4*x**2 - 1\/4*x**3 - 5\/2 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -13. Suppose 112*w + 50 = 122*w. Solve a + w*o = 0, x*a + 20 + 6 = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 9*r + 5*r + 4*r - 4. Let p = 1 - 1. Give q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 2*w. Let n = 3 + w. Let x(z) = -z**2 + z + 9. Determine x(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 - -2. Let g = -14 + 11.3. Let o = g + -0.3. Put h, -1\/6, o in ascending order.\nAnswer: o, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 439023 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f**2 + 3*f**3 - 67*f + 10*f**2 + 29*f**2 + 36*f**2.\nAnswer: 3*f**3 + 26*f**2 - 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134525950.\nAnswer: 2, 5, 13, 67, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-13 - 0)) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3 + 0*l**3 - 4 + 3 + 66. Let g(v) = 30*v**2. Determine g(m(n)).\nAnswer: 270*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 6*m**2 + 18*m + 17. Let o be s(-8). Calculate the greatest common divisor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2127420 and 195570?\nAnswer: 87224220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 210*j**2 - 5*j + 5. Let u be v(3). Round u to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132884*k**6*w**3 + 3*k**2*w**3 - k**2*w**2 - 1954*k*w**2 wrt k?\nAnswer: -15946080*k**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 18. Calculate y(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**7\/70 + 13*b**6\/56 + 36*b**5\/35 + 9*b**4\/14 - 586*b**2. Suppose v(f) = 0. What is f?\nAnswer: -6, -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6033780 and -41\/18.\nAnswer: 6033780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 296 + -268. Calculate the smallest common multiple of b and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 2 in descending order.\nAnswer: 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20501689865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 0, 4*a + 17*i = 19*i + 1156. What is the greatest common factor of a and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 1048 = 2*y, 5*j - 1028 = 3*y. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 88 - -37 - -47?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l + 28. Calculate the remainder when j(0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 3 + -3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*a + 316*a + 324*a - 3*a**3 - 475.\nAnswer: -3*a**3 - 475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5969 in ascending order.\nAnswer: -5969, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-33)\/(-5) - (-4)\/10) + 211854\/(-23919))\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175665780 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -105599.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -7 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19056*h*m**4 + 2*h*m**3 + 7*h*m**2 - 26*m**4 + 2*m**3 - 29557*m - 21 wrt m?\nAnswer: 457344*h*m + 12*h - 624*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -129*b - 63. Let u be j(-5). Let a = 973 - u. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*t**3 - 5\/7*t**2 + 5\/7 + 1\/7*t.\nAnswer: -(t - 1)*(t + 1)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532 - 1532 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14340 and 1961382180.\nAnswer: 14340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -56128482.81683.\nAnswer: -56128482.51683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let y(p) = -39245873*p**2. Determine y(o(a)).\nAnswer: -39245873*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1376, -1266 in increasing order.\nAnswer: -1266, 0, 1376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 4. Let k(i) = i**2 - i**3 + l - 5*i**2 + 4*i - 6*i. List the prime factors of k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5144 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137035 is divided by 11899?\nAnswer: 6146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 15. Let g(u) = -u**2. Let x(p) = -2*p**2 - 18*p + 27. Let d(y) = t*g(y) + x(y). Suppose d(w) = 0. What is w?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 14. Let r be f(-10). Suppose 3*h - 1 - 14 = 3*z, 0 = 2*z. Suppose -4*j = -2*p - 2, 5*p + 3*j - 29 = h. Is p at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 76.99\nAnswer: 76.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/100 - (-2)\/(-4). Is y > -152\/161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*c - 0*k + 52, 4*k = -5*c + 116. Let n = 24 - 20. Suppose 4*m = c - n. Solve 5*b = -2*v - 3 - 18, m*v + 5*b = -15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 2*s. Let a(c) = -c - 1. Let o(r) = 16 - 3*r + 4*r - 16. Let d be o(1). Let p(v) = d*l(v) - 2*a(v). Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 136, 0.11, -4, 4, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 3. Let p(o) be the second derivative of -2*o**2 + 0 + 1\/3*o**3 + 3*o + 1\/12*o**4. Suppose -5*x + 30 - 10 = 0. Give x*c(w) - 3*p(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -599*c - 8963. Calculate a(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. Let p = 3 + l. Let x = -98895\/4 - -24724. What is the smallest value in -4, -3, x, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbb when three letters picked without replacement from ibbibbpbpp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*q = 803*q + 6*v - 11, 2*q - 4*v - v = 6 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 2) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + ((-2*sqrt(70) - sqrt(70)) + sqrt(70))*-4 + sqrt(70)))\/(sqrt(160)*-2 - sqrt(10)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-56660)\/(-12) + (-1)\/((-39)\/52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m - 3. Let t(i) = -24*i**2 - 68*i + 68. Let l be (-299)\/10 - 1\/10. Let d = 106 - l. Calculate d*r(w) + 6*t(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/84 - (-2)\/(-7). Solve m*u + 2*u - 2 = -3*s, -3*u = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/o**(-9))\/o))**(8\/7)*o**(3\/4)\/o**22 assuming o is positive.\nAnswer: o**(-883\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -159. What is the greatest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 945335.1.\nAnswer: -3781340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -152127, -152095, -152039, -151953, -151831?\n\"Answer: f**3 + 6*f**2 + 7*f - 152141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 101. Calculate the remainder when 30 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 15*r - 11. Suppose -5*f = -5*u - 40, -5*f + 23 - 7 = u. Suppose -f*h + 6*h = 24. What is the remainder when d(11) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1\/(-2)) + 12. Let z = d - -6. Let r = z - 6. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16516565790 - 14.\nAnswer: -16516565804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 13) in base 7?\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -11. Suppose 0*n + 15 = y*n. Suppose 0 = m + n*m. Solve 3*c = -m*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -58. Let i = -67 + x. Which is the second biggest value? (a) 5 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472141.4 kilometers in micrometers?\nAnswer: 472141400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*4*(-42)\/112\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 16 - (18 + -14 + 0 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(56\/21) - 0. Suppose 3*m + 9 = -3*b + 6*b, x*b = -3*m - 9. Sort -1, b, 33, -2 in ascending order.\nAnswer: -2, -1, b, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*t - 71, 21 = -0*t + t - w. Suppose -4*z + t = -2*v, -7*z + 29 = -2*z - 4*v. Let c(i) = i**3 - 6*i**2 + 8*i - 7. Does 5 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 2, b: 1, n: 1}. What is prob of picking 1 z and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113213 + -2?\nAnswer: -113215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 - 11*y**4\/24 - 4*y**3\/3 - 31*y**2. Suppose -k - 7 = 2. What are the prime factors of m(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4*y - 1. Let m be o(-4). Let u be (m - -2) + -2 + 0. Let r = u + 4. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150093 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and -25\/207551?\nAnswer: 4151020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853*t = -5*d + 851*t - 4921488, 0 = d + 5*t + 984270. Round d to the nearest ten thousand.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*s - 94 = 0, 4*t + 3*s + 44 = -30. Let b = 38 + t. Suppose 4*a - 3*p - 25 = 0, -2*a + 0*p + b = 4*p. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211231 - 1?\nAnswer: -211232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 - b + 2. Let q(d) = -3*d**3 - 4*d**2 - 13*d + 21. Let g(a) = -4*h(a) + q(a). Calculate g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19ca6e (base 16) to base 15\nAnswer: -235c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l - 0. Suppose 2*u = l*u. Suppose 3*x = -5*h + 183, u*h - 2*h + 73 = x. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46306278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -11420018946769 and 0.2.\nAnswer: -11420018946768.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*r - 14 = 0, 5*f = 30*r - 35*r - 15. Suppose -k = k. Solve 0 = -f*j - c - 2*c + 13, 2*j + 4*c - 18 = k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 3. Let g = -17 + 31. Find the common denominator of (-1)\/(-5) - g\/(-30) and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8031703\/105 + -76493. Find the common denominator of -101\/765 and v.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 11}. Give prob of picking 1 a and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214371, 428799, 643219, 857631, 1072035?\nAnswer: 1286431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y + 130. Let x be r(-14). Does 52 divide -3*((-458)\/x)\/((-9)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1 - (-4 + -1). Suppose -x*f + 15 = -f. Suppose -f*r = -5*c - 13, 0 = -c + 2*c + 2*r. Let w(k) = -3*k - 3. Calculate w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2 - (-2)\/1). Suppose -2*o + 2 = 0, 4*n + v*o = -o + 23. What is the second derivative of -6*j - 5*j + 3*j + 3*j + 3*j**n wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 837 - 835.42784. Let s = c + -2.68037. Let a = s + 1.11. Round a to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 53. Suppose -783 = y*w + 31. Let a = w - -116. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 - 13*l + 7. Let n(i) = i**2 + 2*i - 1. Let u(g) = -k(g) - 6*n(g). Calculate u(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5153.312ms to seconds.\nAnswer: 5.153312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.85 - -2. Sort -2\/17, 3, 0.5, d in ascending order.\nAnswer: -2\/17, d, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39396*o**2*p**3 + 517*o**2*p**2 + 184283*o**2*p + 852*o*p**3 wrt p?\nAnswer: 236376*o**2 + 5112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 4*c**2 + 2*c**4 + (-1 + 2*c + 1)*(356*c**3 - 581*c**3 + 323*c**3).\nAnswer: 198*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6817 - 2799. List the prime factors of x.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let l(z) = -z + 5. Calculate -2*g(b) - l(b).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (8 + (-8 - 9)) - -13) + 1 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -779128015*v**6 + 15*v**2 + 2355457 wrt v?\nAnswer: -93495361800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*w**2 - 3524915*w + 1409970.\nAnswer: -5*(w + 140997)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1103*i**2 + 1621*i - 4239334?\nAnswer: -2206*i + 1621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1067 + 73?\nAnswer: -dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2662*t + 60854 - 61383 - 180487 = 0 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -3 + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 26. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001529209 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129094 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 420\/(-175)*(-140)\/8. Solve p*g - 20 = 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -1)\/((-3)\/(-402)*-2). Let s = x - 190. Calculate the remainder when s is divided by ((-6)\/(-1))\/(2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -280 - -259.3. Let r = -21 - q. Which is the nearest to -2? (a) 2\/7 (b) -0.03 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2090*b + 20685 = 2852 - 5157 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -853848, -3415416, -7684696, -13661688, -21346392, -30738808, -41838936?\n\"Answer: -853856*r**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 - 10 + 349130*w.\nAnswer: 349130*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31647*f - 63572*f + 31781*f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -919 - -973. Let f(p) = p**2 - 2*p - 6. Suppose r + 3*r + 16 = 0. Let s be f(r). What is the greatest common divisor of s and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a (base 12) in base 9?\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:37 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/177 + 19\/59. Which is the nearest to 0? (a) -1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5\/5 + 11*c**4\/5 + 33*c**3\/5 + c**2 - 10*c = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 2*q**2 - q + 37*q**3 - 2*q**2 - 18*q**3 - 36*q**3 + 2 to the form s*q + g*q**2 + t + m*q**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-4) - (-1 + 0). Suppose 15 + 29 = r*j. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1196234631 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.231 + 0.039. Let q = y - -15.73. Let i = 18 - q. What is the nearest to i in 2, 1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 4, l: 3, s: 10, w: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*h - 15 = 11, 4*h = -k - 11. Solve 4*t - k*z = -15, -1 = t - 0*z - 4*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -305*j**2 + 881420*j + 86700 = 0.\nAnswer: -6\/61, 2890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r + 25. Let g(z) be the third derivative of 1\/60*z**r - z**2 + 0*z + 0 - 1\/24*z**4 + 0*z**3. What is the second derivative of g(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57904 by 8272.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 9, -2*m = i - 5*i + 22. Let h be (-7)\/i*16\/6. Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-5))\/(-2 - 0). Does 13 divide (-51)\/(-2) - q\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 5. Let c be a(-10). Let o(i) = 2*i - c*i + i. Let s(j) be the third derivative of -j**4\/24 + 19*j**2. What is o(s(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252849356 + -51328084522\/203. Let o = 1649 - x. Is o != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 897.906+-1713672\nAnswer: -1712774.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 111045249 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 101. Let w = -773\/118 - -3\/59. Is g > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*u - 3*v, 325*u - 329*u + 2*v - 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -23. Let s = -160 + 159.9. What is the nearest to s in 1, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.75 + -1.9. Let x = 14.35 - 15. Let g = z - x. What is the closest to -1 in g, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57224.8039 to the nearest one hundred.\nAnswer: 57200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 1, t: 4, c: 2}. Give prob of sequence cgt.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -u - 228, h + 2*u - 1 - 38 = 0. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*(t\/(t*t**(-3\/4)*t))\/t*t*t)**16*t**(-1\/22)*t*t*t**(-18)*t assuming t is positive.\nAnswer: t**(989\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k + 2*i + 4 = 0, 4*i = -5*k - 6. List the prime factors of k - (-3 + 5 + 2 + -459).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/224*-2*3\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*i + 221 = 134*i - 3699. What is the smallest common multiple of (-7)\/(-4) - 3\/(-12) and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4640 = 73*b + 60*b - 25*b - 544 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 205*v - 840. Give q(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3333156 - -4?\nAnswer: 3333162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*x - 49656 - 75902 = 0 for x.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let w = 0.44 + 0.06. Sort 2\/9, x, w.\nAnswer: x, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50870, 101870, 152870, 203870, 254870, 305870?\n\"Answer: 51000*o - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1135 divided by -9\nAnswer: -1135\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + 242. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = 2*o, 5 + 3 = 2*o - 3*j. Is (222\/9)\/(o\/246) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-3)\/(-21) - (-165)\/70). Suppose -5*b - 2*x + 18 = 0, -b + 4*x + 1 - 15 = 0. Factor 0 - 2\/5*o**3 - 4\/5*o**b - d*o.\nAnswer: -2*o*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1077 times 210231\nAnswer: -226418787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 - 2*t + 1. Let o be 65\/(-260)*(8 - (2 + -2)). Let n(h) = 2*h**2 - 6*h + 2. Let k(i) = o*n(i) + 6*a(i). Let c(d) = 2*d**2. What is k(c(p))?\nAnswer: 56*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179009683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16678, -33357, -50036, -66715, -83394, -100073?\nAnswer: -116752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1 + b**2 + 0 + 3*b - 7 - 12*b. Calculate the smallest common multiple of 22 and p(11).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1856 and 708296.\nAnswer: 5666368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542 (base 10) in base 15?\nAnswer: 237c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 c when three letters picked without replacement from {c: 1, f: 1, w: 1, x: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3*a - 6*a)*(1 + 2 - 4) - 2 + 5*a + 2 - 3*a + 2*a + 0*a + 4 - 4 + 5*a - 28*a + 31*a - 20*a + (-a - a + a)*(2 + 1 - 2) as j*a + l and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 + 380*n - 7175 = 0.\nAnswer: 35, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*m. Suppose -2*z = -3*z + 5. Suppose n + 1 = -0*n + i, 0 = z*n - 4*i + 3. Is m at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-7))\/(681\/227)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1691.89 + -1679. Let t = l + -8.49. What is the nearest to t in -3, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 7092.\nAnswer: 1\/1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 12*a = -124 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:33 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 88, -187, -5.\nAnswer: -187, -5, -2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 3 (b) 0.2 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 51*d + 17. Let t(w) = -2*w**2 - 52*w + 19. Let p(f) = 6*j(f) - 5*t(f). Differentiate p(x) wrt x.\nAnswer: -4*x - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38052 by 2718.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let v(a) = -a + 21. Let z(t) = -2*t**2 - 103*t - 43. Let j be z(-51). What is the remainder when v(j) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 2*z**2 + 2. Let u(k) = -8*k**3 - 100*k**2 - 512*k - 12. Let n(d) = 6*s(d) + u(d). Let n(i) = 0. Calculate i.\nAnswer: -4, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 4*n**2 + 2*n**2)*(3 + 5*n - 3)*(6*n - 2*n - 2*n).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + 2.4. Which is the third smallest value? (a) y (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207016840 divided by 6?\nAnswer: 603508420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 134*t - 34. Let q be o(27). Suppose -5*m + q = -491. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*i + 837*i - 331*i + 14190 = -5650 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -13 - 8\/3*t**3 + 3\/20*t**5 + 0*t + 3\/8*t**4 + 0*t**2. Let g(o) be the third derivative of m(o). Differentiate g(z) wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 4. Let d(v) = -9*v - 1 + f*v + 6*v - v**3. Let m(n) = -10*n + 2*n**2 + 8 + 2*n**2 - 2*n**2 + 10*n**3. Determine 8*d(p) + m(p).\nAnswer: 2*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (10 - 20) - -4) + 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(325)*-3 - sqrt(325)) + -1.\nAnswer: -20*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238 + 173. Let f = -33 - x. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 94. Let h be (-3)\/12*34\/(-3). Do h and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = i - 21802, 0 = 5*x + 5*i - 8722 - 13068. Let k = x - 12361. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63463*-78\nAnswer: 4950114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**2 - 4*h + 3\/7*h**3 + 1\/42*h**4 + 23. Factor i(o).\nAnswer: 2*o*(o + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6*n**2 + 24*l**3*n**2 + 14*l**2 - 17*n**2 + n wrt l.\nAnswer: 240*l**3*n**2 + 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + 3 + sqrt(5103) + 1)**2 + -2.\nAnswer: 324*sqrt(7) + 5138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -22. Let f(j) = -2*j**3 - 67*j**2 + 32*j - 46. Let v be (2\/4 - (-11)\/22)*-34. Calculate the least common multiple of f(v) and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10644 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 3, q: 5}. What is prob of picking 1 c and 1 q?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -22*r. Let w(a) be the second derivative of a**3\/6 - 3*a. What is w(z(l))?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 13*n + 2*r + 10, -5*r + 30 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(3 - 1 - 5)*(4*i - 4*i - 2*i**4) + (-4 + 3 + 0)*(2*i**4 + i**3 - i**3) + 2*i**4 + 2*i**4 - 5*i**4.\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from qeuqqaeuqeqeese.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -79?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 282 - 3\/((-24)\/40). Let a = d - 267. What is the remainder when 58 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.68 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**4\/34 + x**2\/17 + 68. Factor u(g).\nAnswer: -2*g*(g - 1)*(g + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v - 8 = 0. Suppose 7 = -3*a - 4*z, -25 = -5*a + 5*z + 10. Let f(k) = k + a + 3 + k. Determine f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 f when four letters picked without replacement from llblbfl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -280\/13? (a) 59 (b) -0.07 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 4 (c) 0.4 (d) -24.9 (e) 163 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -29*c - 22. Calculate the smallest common multiple of 63 and k(-2).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 173163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 5*i - 18*i)*(-i**2 - i**2 + 3*i**2)*(-3 - 15 - 17).\nAnswer: 420*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 525512 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*l**4*v**2 - 21*l**4 - 4*l**2*v**2 + 12869*v**2 wrt l?\nAnswer: 2040*l*v**2 - 504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2640 = -4*m - 2*m. Let n = m - 235. Suppose -n = -4*y - y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90, -187, -306, -447, -610, -795?\n\"Answer: -11*n**2 - 64*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 23. Suppose -3*q + 4*q + j = 0. Let m be 5*(-1)\/4 - -1. Which is the closest to m? (a) q (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -26. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*s - 2*s + 147, -5*x - 4*s = -258. Let r = 6 - x. Is -49 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -j*y = -6, -p - 60 - 118 = -2*y. Find the common denominator of 49\/8 and p\/(-144) + (-2)\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 1453 = 444. Suppose 58 = 2*u + 4*l + 384, -4*u - 634 = 2*l. Let h = u - d. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g**2\/g*g)**(-46) assuming g is positive.\nAnswer: g**(-368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/31))**11 assuming d is positive.\nAnswer: d**(-66\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(768)\/sqrt(3)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -15. Let x = u + -20. Suppose -9*d**2 + 39*d**4 - 25*d**4 - 7*d**2 + 52*d**x = 0. Calculate d.\nAnswer: -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -5*t + 56 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1398 + -1411.45. Round g to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*g = -21, 0 = 7*n - 4*n - 3*g + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, s: 4, g: 8, n: 1}. Give prob of picking 3 a and 1 g.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by (52\/3)\/(4\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 201 + 201. Let t(m) = -17*m. What is r(t(i))?\nAnswer: -289*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 - -50.7. Let k = y - 55. Is 0.13 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 166*m**3 + 2 - 165*m**3 + 0 in the form i*m + j*m**3 + y*m**2 + o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1618 - 1680. Is u greater than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16113852 = 16113864, -6*z = -4*d - 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -1420, -2509, -3598, -4687, -5776?\nAnswer: -6865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 9021 + 987 = 0. Is 1 + (10\/4 + -2)*a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 306837.\nAnswer: 276153.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 - 281 = 19*q + 421 - 43 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3401\/(-1790) + ((-6)\/(-4))\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1443 and 5005?\nAnswer: 555555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:27 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/4*(20\/(-5) - -2). What is the greatest common factor of n and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - l**2 + 38*l + 47*l + 46*l - 83*l in the form z*l**2 + f + c*l and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403036 is divided by 440.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056059107013773 + -0.4.\nAnswer: -0.456059107013773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 - 4*i**2 - 1 + i**2 - 2*i + 0*i**2. Let y be (0 - (-1 + 0))*-1. Determine f(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/15435071?\nAnswer: -4\/15435071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 70*j + 30 + 4*j**2 - 4*j**3.\nAnswer: -4*j**3 + 4*j**2 + 70*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 146?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6192, 12799, 19406, 26013, 32620, 39227?\n\"Answer: 6607*n - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*o - 5. Suppose -2 = -3*u + 1. Put o, -3, u in decreasing order.\nAnswer: o, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 - 288*b + 2082. What is m(8)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 30. Let k = -48 + 152. Suppose 3*b = -4*n + 68, -b = 4*b + 2*n - k. Let g be i(b). What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 284859?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -253441, -506883, -760325, -1013767?\n\"Answer: -253442*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + -6 + 12 + -1 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -876305 (base 11) to base 3.\nAnswer: -2122002102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 5, p: 1, h: 4}. Give prob of sequence ehp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -10*k**5\/7 - 251324*k**4\/7 - 1580400148*k**3\/7 - 2345038224*k**2 - 39446790498*k\/7 - 1893344652 = 0.\nAnswer: -12561, -7, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 100. Let z be i(0). Let o = 220 - z. Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272.477 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112 - 1) + 2192 + -2411.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/5)\/(l\/(l*l\/((l**6\/l*l)\/l)*l)*l)*(l*l*l*l*l*l**(-3))\/(l\/l**8)*l**(-5)*l*(l*l*l**(-1\/4))\/l*l*l**(-5)\/l*l**(-2) assuming l is positive.\nAnswer: l**(-121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/60 - a**3\/6 - a**2. Let s(j) = -2*j**2 + 2. Let t be 4*(441\/180 - (-8)\/10). What is t*d(l) + 6*s(l)?\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 22253 (c) 2\/5 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -85.3. Let g = w - -0.3. Let y be (-2*(0 - 1))\/(-5). Which is the smallest value? (a) 3 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3034 + -2005. Let c = -59 + i. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 10*t - 29. Let q = 16 - 7. Let x be u(q). Let i be x\/15 - (3 + -5). Which is the biggest value? (a) i (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 2\/21*w**4 + 0*w**3 - 20*w**2 + 0 + 11\/105*w**6 + 0*w - 6\/245*w**7 - 17\/105*w**5. Suppose k(c) = 0. What is c?\nAnswer: 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 656 and 414460472?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 285295, -4, 1, -3 in descending order.\nAnswer: 285295, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - 2*a**2 + 0*a**2)*(-8*a - 7*a + 3 + 5*a) to the form p*a + x + f*a**3 + j*a**2 and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 27, 39, 35, 3?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 886 and 1457.\nAnswer: 1290902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 497 + -341. Let n be q\/104*4\/1. Let w(p) = -7*p + 1. Let h(i) = -7*i. Let k(g) = -3*h(g) + 2*w(g). Let b(z) = -8*z - 2. What is n*b(o) + 7*k(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*7*(-3)\/2. Let c = n + 91. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 - 14 = 0. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(0 + 0 + 2*t) + 25 + 6*t - 3 + 5.\nAnswer: 2*t + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-3*sqrt(2)))\/(sqrt(12) - sqrt(60)\/sqrt(5)*6).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2. Let f be y(-2). Suppose f*j = 5*j - 11. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0*y**2 - 2*y**2 - 8*y + 2*y**2 - y**2 - 8. Let m be f(-6). What are the prime factors of (m\/(-8))\/((-2)\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15277 (base 9) to base 8\nAnswer: -24306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 18 = 3*a, -2 = -470*a + 472*a. Suppose 9*r - 4*r = 20. Let b(u) = -u**2 + 3*u + 5. Let p be b(r). Is p less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 8\/7, 1\/8, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5093578 divided by 329.\nAnswer: -15482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, 0, 28\/11, -4 in descending order.\nAnswer: 5, 28\/11, 0, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-725)\/(5*(-7)\/(-169400)). Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/6 + 1087*u. Let t(f) = -7*f**2 - 4 + 4. What is y(t(n))?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0 - 1\/3*u**4 + 1\/20*u**5 - 2*u**2 + 0*u + 4\/3*u**3. Is b(6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 46*x**2 + 31*x + 272. Is u(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*n**4 - 2 + 91*n - 2*n + 4*n**4 - 7*n**3 + 12*n**4 - 95*n - 292*n**2 wrt n?\nAnswer: 672*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let n(w) = 36623*w**2. Give s(n(g)).\nAnswer: -1341244129*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*(-30)\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14 = -4*d + 34, -3*d + 15 = 4*h. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.892896 - 0.051\nAnswer: -0.943896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*w + 4 - 59*w + 157*w - 72*w as m*w + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -408438587*o**5 + 247879174*o**2 wrt o?\nAnswer: -24506315220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 108 = 3*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(224\/(-80)*2\/(-1295))\/((-2)\/(-5))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53398832471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-80)\/(-25) - (-1)\/(-5). Suppose 0 = -p*c - 2*c + 25. Solve 12 - 2 = c*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81120118 divided by 10858\nAnswer: 7471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10348\/9 + 394133\/342. Find the common denominator of (-2)\/11 - 2074\/(-396) and j.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004 + 945 = 3*a + 5*g, -2*g = -17*a + 2*g + 86 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 232 = -4*k, -2*v = 5*k - 89 + 8. What is the remainder when v is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1339, 1335, 1329, 1321, 1311, 1299?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 - -1.33. Let g = -109 + 110.07. Let t = g + y. Put -1\/2, t, -0.2 in descending order.\nAnswer: t, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11170 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7 = 5*k, 5*r - 3 = -163*k + 167*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 32*q**3 + 24 + (-3*q + 3*q + 5*q)*(5 - 4*q**2 - 5))*(0 - 2 + 3)*(2*q - 3*q - q) as f + k*q**4 + m*q**3 + j*q**2 + i*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -594 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 27. Let z be (-1)\/(-2)*(6 - 0). Suppose 0 = -3*l - 5*y - 65, 0*y + z = -l + 3*y. Let n be m(l). Is n greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 2630.\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58807, -234770, -527883, -938146, -1465559?\n\"Answer: -58575*t**2 - 238*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*(-5)\/30 - (-196)\/168.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162948.3 nanograms to micrograms.\nAnswer: 162.9483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5)*(-1)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 0, 3*w - 1013 - 3801 = -2*j. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -26. What are the prime factors of 255\/i + 4\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-4)\/(-8)*-4. Let v be o\/(-3 + (-18)\/(-4)). Suppose -5*k + 3*q = -172, q + 6 = v. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 10 = 0, 117*r - 114*r = -3*w + 12 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.3 + -4. What is the nearest to -1 in -2, v, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - 0.11. Let d = -0.2 + v. Let h = d - -4.4. What is the third biggest value in h, -3\/4, -0.07?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((78\/65)\/2)\/(8\/((-800)\/45)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 19*h + 149. Let z be l(25). Put -2, z, -3 in increasing order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -331*q**3 - 3*q**2 - q + 11. Let m be r(-5). Let p = m + -141416. What is p rounded to the nearest 1000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j**2 - 70*j - 369. Give g(-6).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113300186 is divided by 4532006?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -113, -5, 0.3, 3\/5, -496, 0.4, 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 10:19 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7729*k. Let t(g) = -g**2. Calculate i(t(b)).\nAnswer: 7729*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*l*y**4 - l*y - 7153398*l + 12185*y**4 wrt y?\nAnswer: 84*l*y**3 - l + 48740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*q - 22, -3*q - a + 5*a = 0. Put -2, q, 1\/4 in decreasing order.\nAnswer: 1\/4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -18*g + 82. What is the remainder when 80 is divided by a(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3 - 3)*(c**2 + 2*c**2 - c**2) + 2*c**3 - 6*c**3 + 2*c**3 + (0*c + 0*c + 4*c)*(4*c**2 - 2*c**2 + 0*c**2).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 3*g + g + 27548 - 27548.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -359.3 - 38.7. Let d = 397.6 + y. Put -6\/7, -0.3, -101, d in ascending order.\nAnswer: -101, -6\/7, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*b**3 - 308847*b**2 + 64281297*b + 603812907 = 0. Calculate b.\nAnswer: -9, 4729\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663 - 3*y + 329 + 5*y + 334.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -80.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -72. Let r be (-1)\/x*(219 - 3) + 0. Suppose k - r + 28 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1265, 2337, 3213, 3893, 4377, 4665?\nAnswer: 4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 13 + 53. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**5 - 1824339*r**2 - 2414*r - 84 wrt r.\nAnswer: 80*r**3 - 3648678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 438747597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y - 2. Let p be q(2). Let i be (-72)\/45*-11 - p\/10. What is the greatest common factor of i and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + 3 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 81*m**2 - 35*m - 93. Let x(t) = -2*t**3 - 81*t**2 + 34*t + 93. Let d(o) = -4*h(o) - 5*x(o). Is d(40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 2824*b**3 + 2839*b**3 + 2 + 2*b**2 + b**2 to the form g*b**2 + p*b**3 + o*b + i and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -144*g + 202*g. Let n(z) = -46*z - 26. Let j(p) = 9*p + 5. Let l(h) = -11*j(h) - 2*n(h). What is the units digit of l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143477 (base 8) to base 12\nAnswer: -25627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-488)\/224 + -4 + 2 and -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 83*x**2 + 468*x + 95. Determine t(7).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17644\/(-30) - (-2 + (-140)\/(-75)). Let r = -119 - c. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5514*a**3*k**3 - a**3*k**2 - a**3 - a**2*k**3 + 353*a**2 + 6*k wrt a?\nAnswer: 33084*k**3 - 6*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/21)\/(3*(-1)\/14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4)**(12\/11))**18 assuming c is positive.\nAnswer: c**(864\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h + 4*t - 8 = -64*h, -t + 5 = h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -2. Which is the nearest to 2? (a) 2\/9 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - 2*sqrt(189))\/sqrt(9))\/(sqrt(63)*4 - sqrt(7)) - (-2*sqrt(1470))\/(sqrt(10) - (sqrt(10) + -2*(sqrt(40) - sqrt(10)))).\nAnswer: 76*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -20. Solve 5*r + 1 - f = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5116*p. Let m(t) = 5*t. Determine m(x(b)).\nAnswer: 25580*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99274 = 2*q + 635*a - 630*a, -4*q + 5*a + 198668 = 0. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -2178, -7555, -18078, -35463?\nAnswer: -61426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*f + 27*f - 17055. Suppose 4*o = f + 53789. What is o rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from ffgtjhtgetetje.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 (base 9) in base 2?\nAnswer: -110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 50 - 431*z**2 + 428*z**2 - 35 - z**3 to s + v*z**2 + g*z**3 + k*z and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5455955 to the nearest integer?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*s - s - 1, 3 = -2*y + 3*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in 1.8, -5\/4, 0.108, -2\/7?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*g - 3*q + 211, 2*g - 143 = 3*q. Let l = g + -70. What is the closest to l in 0.1, 3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1276451 - -80.\nAnswer: 1276531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 18*i**2 - 5*i - 5. List the prime factors of g(-2).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.73 + 0.6. Let t = o + 0.03. Do t and -0.1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-19140)*11*1\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700209, 700367, 700523, 700677?\nAnswer: 700829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - (1036\/(-168) - (-3)\/18). Is x at least as big as -3\/1469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1746512 (base 8) to base 3.\nAnswer: 221222101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30843, 30757, 30667, 30573, 30475, 30373?\n\"Answer: -2*g**2 - 80*g + 30925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5 - 260*j**4 + 1720*j**3 - 1190*j**2 - 1715*j + 1450 = 0. Calculate j.\nAnswer: -58, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*y**2 + 3*y**3 - 5*y**3 - 5 to the form x + t*y + h*y**3 + w*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 0*m**2 - 1 - 3*m**2 + m**2 to the form s*m + d*m**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.1. Let m = 1 + 1. Suppose m*r - 3 = 1. What is the second biggest value in r, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175828 + 175823. Let i(g) = -g**3 + g**2 + g - 2. Let x be i(0). Put n, 0.03, x, -1\/2 in decreasing order.\nAnswer: 0.03, -1\/2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*(-4 - -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 594. Calculate the greatest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*h, -4*h + 2*m = 4 - 6. Let u = 9 + -5. Let i be (-4 + u)*h\/(-4). Solve i = x - 2*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188470 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 12. Suppose w = -i, 2 = -5*n + 4*w + 16. Suppose -3*h + 425 = -c, 2*h - n*c - 290 = -3*c. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-237)\/(-9) - 2\/6 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7872b (base 14) to base 15.\nAnswer: 5b900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2084*p - 9996 = -2168*p. Calculate the lowest common multiple of p and 3060.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -21120?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 265317670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125805 divided by 1370?\nAnswer: -25161\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.489546 + 3208162.510454. Let v = 3208162.3999998 - q. Let b = v - -0.6. What is b rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 28 = 73 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0.02507984\nAnswer: 0.02507984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33266.927 - 33295. What is c rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) + -1)) + -1)**2 + (2 + sqrt(425))*3.\nAnswer: 15*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:10 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*y**2 + 0*y + 0*y - 528*y**3 - 346*y**2 + 37*y**3.\nAnswer: -491*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b - 61 = -3*x, 2*x + 7 = -b. Let c = -11 - b. Suppose -w + 281 = 5*n, c = 3*n - 5*w - 23 - 140. What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -327 - -331. Solve -m = 36*s - 32*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77320794151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1252 - 692. Let g = w - 205. Calculate the highest common factor of g and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*j - f - 0*f, -33 = -5*j + 4*f. Suppose 3*u + 13 = 2*g, 0*g - 15 = 2*u + j*g. Let v(o) = -140000*o. Let x be v(u). Round x to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2616 and 12324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.097427\nAnswer: -0.681989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 0*h**2 + h**2. Let r(p) be the second derivative of 0*p**2 + 0 - 17*p + 0*p**3 + 4\/3*p**4. What is d(r(n))?\nAnswer: -512*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (8352\/252 - 33)*7\/1 + -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213070729969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -3.9. Suppose -k + 9 = 3*c, 4*c + 2*k - 14 = -0*c. What is the nearest to 0.4 in g, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + h + 3*h)*(101*h**2 - 45*h**2 + 74*h**2 + 37*h**2).\nAnswer: -167*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 2 + -2 + (sqrt(112) + -3)*-5)**2.\nAnswer: -18534 + 4080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 22. Suppose 4*o = 12 - q. Let u = 12 + o. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4 - 125\/(-30)). Let r be 0*(-4 + y\/4). Factor -2*c**2 - 2\/3*c + 8\/3*c**3 + r.\nAnswer: 2*c*(c - 1)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6576792 divided by -822099\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 31. Let h be 25*((-8)\/v)\/4. Solve h = -0*x + 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gycyyggggcgcggcy. What is prob of sequence ggy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-30)*(-39)\/(-26)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-1\/3)\/y))\/(y\/(y\/y**10)))\/(y**(-6)*y*y**(-1\/8)*y))**(2\/41) assuming y is positive.\nAnswer: y**(-85\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 35*c**2 + 44*c**2 - 3 - 8*c**4 - c**3 - 4*c**5 - 16*c - 63*c**2 + 13*c**3. Find d, given that z(d) = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**3 - 5*z**3 - 13*z**5 + (-2*z**2 - z**2 + 4*z**2)*(-2*z**3 - 10*z**3 - 12*z**3).\nAnswer: -37*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n**(1\/3)*n*(n*n\/n**(-1\/6))\/n*n*n*n*(n*n**(-5))\/n)**(-2) assuming n is positive.\nAnswer: n**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/20 + 3*h**2. Let a(l) = 2*l. Determine t(a(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2761*l**2 - 3360*l**2 + 2495*l**2 + 2741*l**2.\nAnswer: 4637*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15305, -30646, -45989, -61334?\nAnswer: -76681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8218787 and 91366?\nAnswer: 180813314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 8. Let r = 8 + o. Suppose -z - 2*z - 21 = -r*w, 5*w = -2*z + 24. Solve 0 = 5*q, -2*j + 4*q = w - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 - 2004 = -5*z + n, 2*z - 2*n = 920. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6216, -26385, -81134, -187755, -363540, -625781?\n\"Answer: -2882*a**3 + 2*a**2 - a - 3335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95562.\nAnswer: 2, 3, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125148 divided by 31287.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42324 is divided by 42282.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1919 and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1992 + 2000. Let k(j) = j**2 - 9*j + 8. Let h be 8\/20 - (-86)\/10. Let f be k(h). Calculate the greatest common divisor of f and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v**13\/v)*v)))*v)\/((v**6*v)\/v)*((v*v\/(v**(-2)\/v*v)*v)\/v)\/(v*v**(-7)) assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2 - s - 1. Let f(y) = -4*y**3 - 20*y**2 + 15*y + 5. Let g(v) = -f(v) - 5*i(v). What is the tens digit of g(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322550 and 436.\nAnswer: 70315900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = -124*d - 2*d - 4462 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 225 and -7.\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0823 minus 152363?\nAnswer: -152358.9177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2*z + 80 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) + sqrt(126) + -1*sqrt(126) - sqrt(14))\/((sqrt(12)\/sqrt(3))\/sqrt(2)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = j - 3*g - 6, 4*j = -4*g + 20. Suppose j = 3*d + 4*m - 3453, -2*d + 21 = 5*m - 2281. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-24))\/(1\/4). Let s = l - -14. List the prime factors of ((-333)\/s - 0)\/(1\/(-5)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31993582.4799963 + 31993581. Let x = -1.48 - l. What is x rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 972995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.39 - 0.01. Suppose -j = -1, 40 - 31 = -l + 5*j. Which is the closest to -0.2? (a) -9\/7 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4761, -4678, -4541, -4350?\n\"Answer: 27*z**2 + 2*z - 4790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -1\/2*g - 1\/4*g**2 + 1\/8*g**4 + 1 + 1\/6*g**3. Find u such that a(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 214 + 194 = -j, 5*j - 525 = -4*q. Let i = 1483\/11 - q. Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154.7 + -40.3. Let d = 194.9502 + g. What is d rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 2 + 0 - 3*n**3)*(2*n + 2*n + 5*n).\nAnswer: -18*n**4 + 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 5*k - 7. Let b be r(7). Suppose 4*d + b = 87. Let g = 1 + 1. What is the lowest common multiple of d and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 962192.\nAnswer: 4810960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19949790\/15 + 15 + -1. What is x rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021009276 rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119*n**3*q**3 - 15*n**3*q**2 - n**3 wrt q?\nAnswer: -714*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(10)*2*4)\/(sqrt(2) - (sqrt(72)\/sqrt(4) + sqrt(2)))).\nAnswer: 1 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.542 + 0.57. Let f be 1*235\/(-75) - (-2 + -1). Put f, i, -3\/2, 1\/4 in ascending order.\nAnswer: -3\/2, f, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-10))\/n)**31*n**(-20)\/n**0 assuming n is positive.\nAnswer: n**(-299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 0*g**3 - g**3 + 0*g**2 - g**3 + 0*g**2 + (-4 + 1 + 2)*(g**3 - 2*g**3 + 3*g**3) + (558 - 558 + 43*g)*(-3 + 3 + g**2).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2332 (b) -2 (c) 4 (d) 1\/3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q. Let d(v) = -32*v. Let f(s) = -177*s + 2. Let g(p) = 22*d(p) - 4*f(p). Determine g(r(n)).\nAnswer: 72*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/14)\/(3\/8). Suppose 5*s - 5*u = 15, 2*s - o*u = -7*u + 6. Let c(p) = p**2 - 2*p - 2. Calculate c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 444542, 444547, 444552, 444557?\n\"Answer: 5*g + 444537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 959993 < 959995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*d + 21 = 0, 3*d + 19 = 3*r + 5*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118672, -235979, -353286, -470593?\nAnswer: -587900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*w + 219*w - 18 = 0. Let f(h) = 7*h + 3. Determine f(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 735*m + 73795. What is i(-120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*t = -n - 3, 0 = 2*n + 5*t - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 f when three letters picked without replacement from {p: 1, l: 7, f: 6, h: 2, e: 2, n: 1}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -4. Let g = -8.999994 - t. What is g rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**2 - 19*a**2 + 2*a - 4 + 35*a**2 - a**3 in the form l*a + n + t*a**2 + h*a**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676190367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 122481 divided by 13609\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56.55 + 57. Let b = -0.45 - p. What is the third biggest value in b, 2\/3, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 + -12 - -9 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816372489 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.02 - -0.02. Let t = -0.9 - -1.3. Put j, 2\/7, t in descending order.\nAnswer: t, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 16. What is n(-26)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 44. Solve 3*o = o + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(224)*1 + sqrt(224) + sqrt(224))\/sqrt(8))*-6)\/(2*(sqrt(4) - (-4*sqrt(48) - sqrt(48))\/sqrt(12))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 11. Let z(q) be the second derivative of -q**3\/6 + 280*q. Give j(z(y)).\nAnswer: -y - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -922 (base 11) to base 10\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 322*m**3 - 70*m**2 - 70*m + 70. Let t(n) = 14*n**3 - 3*n**2 - 3*n + 3. What is 70*t(j) - 3*w(j)?\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 14 + 2 - 175 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = 3. Let j be t*3\/(-6)*-2. What is the remainder when 18 is divided by ((-10)\/3)\/j*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 5:33 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-810)\/(-324)*219*(16\/15)\/(-8).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:59 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 17\/28, 7, -3?\nAnswer: 17\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2210, 3054, 3902, 4754, 5610, 6470, 7334?\nAnswer: 8202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 11*q - 9900 = 0. List the prime factors of (2\/6)\/(11\/q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18, 4, 3\/2, 108 in increasing order.\nAnswer: -2, 3\/2, 4, 18, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113646, -113647, -113648, -113649?\n\"Answer: -c - 113645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13445.\nAnswer: 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27325 <= 27326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 10. Let o = 2 + b. Solve -2*y - o*k = -2, -k - 4*k + 19 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/250*(-60)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q + 4. Let c be (-3)\/(-3) + -4 + 3. Suppose 5 = -5*g, c*g - 8 = -u - 2*g. Is b(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, 11 in decreasing order.\nAnswer: 11, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*g + 14, -2*u - 17 = -4*g + u. Let i be (g\/40)\/((-5187)\/(-1749)). Let c = -6\/247 + i. What is the common denominator of c and 119\/20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-42) + (-2)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 4*t + 19 - 23, 10 = -5*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4827\/7 + -4798\/7. Find b, given that 1\/7*b**2 - o*b + 0 = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/(-200)*32*57\/(-1368).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33210990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*s - 1395 = -2*s, 481 = a + 4*s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 537, 1705, 3913, 7491, 12769, 20077?\n\"Answer: 55*k**3 + 25*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5061599*v**4 - 3345871 wrt v?\nAnswer: 20246396*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 2}. What is prob of sequence ruu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 10:27 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 4 (c) 1\/2 (d) -1\/8 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4\/9 (b) -1\/8 (c) 0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 491358?\nAnswer: 982716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*w + 8 - 6, 4*w + 8 = 2*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5621\/8 + -703. Let n = 15\/394 - -10021\/11032. Let k = t + n. What is the closest to 7 in 1\/6, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w + 4. Suppose 0 = 3*q + s + 17, 4*s = 5*q + 3*s + 31. Let c = q + 16. Solve -4*t - w = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/1688501 - 459623481210\/281979667. Let k = 1630 + x. Which is the third smallest value? (a) k (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 650010 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g. Suppose 3*c - 20 = -c. Let i(o) = -2*o + c*o + 4*o - 3*o. Calculate i(b(n)).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:14 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59925 or 183?\nAnswer: -59925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350121566 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqhhgp. Give prob of sequence gpp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 161 - -2894?\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 505571.21.\nAnswer: -2022284.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-1\/3)\/z)\/z)\/(z\/(z**(-2)\/z)))\/(z**(-3))**(2\/51) assuming z is positive.\nAnswer: z**(-266\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - b. Let k(v) = -6*v**3 + 24*v**2 - 38*v + 5. Let x(s) = -k(s) + 5*w(s). What are the prime factors of x(23)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121294 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3236 + -3233. Solve w*a - 5*s - 22 = -0*a, 18 = 4*a - s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -228, -457, -686, -915?\n\"Answer: -229*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e8d4 - -11?\nAnswer: -e8c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -907, -2629, -5141, -8443, -12535, -17417, -23089?\n\"Answer: -395*o**2 - 537*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-4) + (-782)\/136\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d*z**2 + d*z - 15*d - 182*z + 1 wrt z?\nAnswer: -12*d*z + d - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260 + 537 + 6*k**2 - 277.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2611 = 1068*t - 1276 + 2937 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 39 = -j + h, h = -2*j + 69. Is (-1611)\/2*(-22)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304 and 507148.\nAnswer: 2028592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10130223 (base 4) in base 2?\nAnswer: 100011100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 4 + 4 + (19 - 58 + 14)*(2 - 4 + 0)*(3 - 2*h - 3).\nAnswer: -99*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 16. Suppose -56*p - 246 = 34. Let i(y) = -y + 11. Give p*l(r) + 8*i(r).\nAnswer: 2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 85. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321924 and 417.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 - 7*k**2 + 11*k. Let d = -206 - -201. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/((z\/(z**(-2\/5)\/z))\/z)*z)\/z))**(-47)*(z\/((z**(-6)*z)\/z))\/(z*z\/z**2) assuming z is positive.\nAnswer: z**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n - 3*n + 5*n)*(2 + 0 + 0) - n - 6*n + n in the form l + i*n and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l. Let r(z) = 54*z + 15. Let k(n) = -3*n + 3. Let h(i) = 10*k(i) - 2*r(i). Give h(d(c)).\nAnswer: 414*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 12:05 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8266568 times -0.5\nAnswer: -4133284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71221\/4070 + -2\/2035. Let t = p + 18. Is -0.4 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(27\/6)\/9. Suppose -4*s = k*p - 32, 5*s - p - 25 = 1. Suppose -s*y = -240 - 24. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51502582507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -105256879 >= -105256876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvjjvvvvvvvvvvv. Give prob of sequence jj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2\/(-4 + 190\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*i**2 - 1196*i**2 - 2485*i**2.\nAnswer: -4152*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15 = -2*y + 11, 0 = 3*p - 3*y - 15. Let b = -1 + p. What is the third derivative of 33*k**6 - 24*k**2 - b*k**6 + 4*k**2 wrt k?\nAnswer: 3000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:48 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48740988 is divided by 272296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 3. Let v be 20\/(-15)*114\/(-4). Let l = v + -34. What is y(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 8316?\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 538 - 27\/(-6)*(-8)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 71 = 2*k - 87, -5*c = -5*k + 270. Find the common denominator of c\/(-99)*23\/(345\/36) and -67\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 637\/3231 - -9\/359. Suppose -2*o + 5*l = 28, 2*o - o - 2*l + 12 = 0. Let u = -6 - o. Which is the smallest value? (a) u (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = s + 190, -25*d + 133*s - 970 = 134*s for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 6907316\nAnswer: 2072194.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -628238 (base 11) to base 14.\nAnswer: -1c2b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5302\/17 + 312. Let d be 274\/(-300) - 31\/(1302\/(-35)). Which is the second smallest value? (a) -0.1 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.1018. What is n rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 1)\/((-3)\/39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.122, -0.65, 3 in decreasing order.\nAnswer: 3, 0.2, 0.122, -0.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 9) to base 7\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from {l: 2, g: 4, q: 8}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3)**2*5 - (0 + (sqrt(117) - (sqrt(117) + (sqrt(117) + -2)**2))).\nAnswer: -12*sqrt(13) + 5386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1270*v**3 - 2517*v**3 + 1239*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264131626.\nAnswer: 2, 11, 99223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1704303*j**3 + 2*j**2 + 368844*j - 1.\nAnswer: -10225818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, 0.06, 2\/3, 0.0455, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 248*l**2 - 90*l**2 - 82*l**2 - 80*l**2. Let j(q) = -194*q. What is a(j(w))?\nAnswer: -150544*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {p: 5, m: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) + (-136)\/22. Let l(m) = m**2 + 6*m + 5. Let k be l(h). Solve 0 = 3*z + 2*z - k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + w**3 + (-2*w**2 + 0*w**2 + 0*w**2)*(139 - 139 + 22*w) to d*w + z*w**2 + g*w**3 + x and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4 - 3 + 0*y**2 + 3 + y**2. Let o be (-57)\/21 + 4\/(-14). Let f be p(o). What is the highest common divisor of f and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*j - 5912 = -93*j - 4*x, -3*j - 4*x + 4430 = 0. List the prime factors of j.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 5, 3\/7, -37, 0 in descending order.\nAnswer: 5, 3\/7, 0.06, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4087 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 31*w + 16*w + 12 - 82.\nAnswer: -w - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let z(n) = -n**3 + 2*n**2 + n + 7. Let k be z(3). Let i(r) = -3*r - 39. Let d(c) = k*h(c) + i(c). Differentiate d(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + 176. Which is bigger: k or 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n - 7. Let t be i(5). Suppose -2*r + 61 = 3*x, 0 = t*x + r + 4*r - 67. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 166342 - -1?\nAnswer: 166343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4528 = -3*j, 2*j - 4*j - 3624 = -4*q. Suppose 5*x = -q + 4403. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6324 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 327522 divided by 8398\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 12. Let q = 10 + m. What is the remainder when 31 is divided by 1\/(((-12)\/32)\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -89*w - 278. Does 50 divide b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -65. Suppose 0*b = b - 2*r - 22, -5*b - 2*r + 74 = 0. Calculate the least common multiple of b and 42\/49*84\/s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 14 + 738*r**2 + 26 - 16. Let n(l) = -l**2 - 1. Let d(u) = j(u) - 6*n(u). Is d(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*(-2)\/(-4))\/(51\/(-136)). Suppose 0*j - 282 = -j + 3*m, -a*j + m + 1073 = 0. List the prime factors of j.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 21\/14)*-6. Suppose u = 2*b - 1204, 3*u = 2*b + q*b - 3009. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -343489 greater than or equal to -343482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13878 divided by 54?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:40 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 - 53. Let c = r + -111. Is c at least 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10465 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 4 - 3 - 2 + b**2. Suppose 6*k = k. Let h be q(k). Sort h, -2\/11, 5 in decreasing order.\nAnswer: 5, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.75 + 3.801. What is the smallest value in -2\/5, q, 0.5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65955962 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put -95, -1, 0.3, 5\/7, -10 in descending order.\nAnswer: 5\/7, 0.3, -1, -10, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*m + 45*m - 33*m)*(3*m - 3*m - m + (m + 6*m - 3*m)*(0 + 1 + 0)) to the form q*m + w*m**2 + a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 314297*x**3 + 4 - 314292*x**3 + 0*x**2 + 0*x**2 - 66*x + 2*x**4 in the form q*x**4 + m*x + r*x**3 + d*x**2 + y and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*j = -70*j + 80. Let f be (412502 - (2 - 0))*j. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -16. Let p(y) be the first derivative of -29 - 3*y**3 - r*y**2 + 23*y**2. Let u(j) = -2*j**2. Give u(p(b)).\nAnswer: -162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1271 - 3.\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/5)\/(((i\/(i\/(i*i*i\/((i**4*i)\/i)*i)))\/i*i)\/i)*((i*i**(-2\/7)*i)\/i*i)**(-17))**(-6) assuming i is positive.\nAnswer: i**(6162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -18\/11 + 24\/11*p**3 + 6\/11*p**4 + 12\/11*p**2 - 24\/11*p = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738934 is divided by 60865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37845, -75690, -113535, -151380, -189225?\nAnswer: -227070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*l + 65, 0 = -l - 3 - 2. Solve -3*n = a, 4*z + 9 = -2*n - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4067410 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40756 and -555.\nAnswer: -22619580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 not equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/2933 and -19\/35.\nAnswer: 14665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621, -622, -637, -672, -733, -826, -957, -1132?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 4) + -8*2. Let j be l\/(-72) - (-10)\/12. Does 2 divide -4*(-5)\/10*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = 5154. Suppose b - d = -b. Suppose -b = c + 21. What is c rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9d716 (base 16) to base 13\nAnswer: 1976b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0080474 take away -505?\nAnswer: 504.9919526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19685?\nAnswer: 5, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 213970*g**2 - 2139245*g + 1925280.\nAnswer: -5*(g - 42784)*(g - 9)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -800, -823, -862, -917, -988, -1075, -1178?\n\"Answer: -8*i**2 + i - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 13*t**2 + 7*t + 100. Let p(v) = -2*v**3 - 29*v**2 + 13*v + 199. Let k(y) = -5*j(y) + 2*p(y). Calculate k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -7 - 17 - ((11 - -1) + -43)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -3*q**2\/2 - 8. Let s(j) = j**2 + j. Let k(l) = l**2 + 2*l. Let d(x) = 2*k(x) - 4*s(x). What is a(d(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l**6 - 5*l**4 - 21*l**2 - 3. Let o(k) = 10*k**6 + 3*k**4 + 14*k**2 + 2. Let r(m) = 5*j(m) + 8*o(m). Find the third derivative of r(i) wrt i.\nAnswer: 600*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15890 + 15895. Let o(u) = u**2 - 3*u - 7. Let y be o(5). Let m(g) = -5276 + 5273 + 5*g**2 - r*g + 8*g - y*g**2 - g**3. Calculate m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*t + 2, g = -g + 8. What is the lowest common multiple of t and ((-3)\/2)\/(-6 - (-70)\/12)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 183*i**2 - 1285*i - 9322. Determine d(-176).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) + 0)*6)**2*-6 + 2 + sqrt(72)*-2*-2.\nAnswer: -21166 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1237168269 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 - i**2 - i - 2. Let o be z(2). Let q = o + -16. Solve q = 3*v - 5 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*6\/(3\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 4568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -18*p + 100. Determine i(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 225 - 77 = -140. Let n(i) = -i**3 + 9*i**2 - i + 8. Give n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Suppose 7*g = w*g. Suppose g = -2*r + 1 + 3. Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10395, 41456, 93147, 165462, 258395, 371940, 506091, 660842?\nAnswer: 836187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/7 of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 20. Suppose -10 = -3*k - 46. Let y = w + k. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssok when four letters picked without replacement from ooprssosoossrpkszkro?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.015, 3, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 - 33 = 0. Suppose -j + 27 = 2*c - 2*j, w*j - 22 = -2*c. Suppose 2*q = -c + 53. Solve 3*u + q = -2*u, 0 = -d - 4*u - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 665 (c) 2 (d) -8 (e) -36 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -31 (c) -5\/6 (d) 179\/3 (e) -0.2 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16823, -33520, -50261, -67046, -83875, -100748, -117665?\n\"Answer: -22*f**2 - 16631*f - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/12)\/((-1)\/3). Suppose 5*b + 4*n = j*n - 9, 4*n = -3*b + 3. Suppose 2 = -x - 2. Sort -2, x, b in descending order.\nAnswer: -2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225478937?\nAnswer: 3, 408492979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208416124 divided by -17.\nAnswer: 12259772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 5*n - 10. Let q(a) = -a**3 - 14*a**2 + a + 7. Let g be q(-14). Let p be m(g). Solve 25 = -p*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.6 (c) -0.4 (d) 5\/3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344503652 divided by -1?\nAnswer: -344503652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155411 - 190383.6. Round i to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.96649671 - -303.96613471. Let q = i + -302. What is q rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Let r be (-1)\/(-2) + (-6)\/(-4). Suppose r*a = -t*a + 25. Solve -y - 9 = -4*h, a*y = 6*h - h - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 2, d: 3, r: 9, y: 3, f: 1, m: 1}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 12)*(1 + 0). Suppose -r + u - 4 = 0. Suppose 0 = -r*m + 3*m + 132. What is m rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1922, 1925, 1930, 1937, 1946?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 + 349. Solve 3*f - m = -7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 34.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 5*c**2 + 6*c - 2. Let f = 257 - 118. What is the remainder when f is divided by b(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 996978 and 1068.\nAnswer: 1993956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87509015 to the nearest integer?\nAnswer: 9355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let y(a) = 5*a**2 + 11740863. Give s(y(l)).\nAnswer: 5*l**2 + 11740863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(4\/11)*u)\/u*u\/(u**(1\/11)\/u*u))**(2\/5)\/((u**(1\/3))**45)**(1\/3) assuming u is positive.\nAnswer: u**(-203\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = -3*g. Let n(c) be the third derivative of 1\/2*c**3 + g + 0*c - 1\/30*c**5 + 0*c**4 - 4*c**2. Differentiate n(l) with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**2*v*v)**(-1\/14))**27)**(-21) assuming v is positive.\nAnswer: v**243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.3333994 months?\nAnswer: 0.019444995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:57 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*g**2 + 28*g**2 - 53*g**2 + (2*g + 2*g - 3*g)*(4*g - 5*g + 3*g) + 0 + 0 - g**2 - 3*g**2 - 2*g**2 + 6*g**2 - 3 + 4 + 4*g - 3*g**2 - 1.\nAnswer: -2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -38 + 18 - 97 - 3?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1394164449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 2*b + 0*b + 1589*b**2 - b + 343*b**2.\nAnswer: 1932*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182392*b**3 + 115253*b.\nAnswer: 1094352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33222212212 - -3?\nAnswer: -33222212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 144 = -n. Let u = -18 - n. Suppose -s = u + 10. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let q = w + 4. Sort -4, q, 4 in decreasing order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5713 and -1185.\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6. Let m(d) = -19*d + u*d + 2 - 1 - 2. Is 14 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893*p + 882*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and -25108?\nAnswer: 25108.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (880\/(-40))\/(-110)*300\/(-28)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (2 - (2 + 0)). Suppose -o*t + 4 = 0, 26 = 2*f - t + 6*t. Let h(i) = i**3 - 6*i**2 - 2*i + 10. What are the prime factors of h(f)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:05 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(162)\/(sqrt(9) + sqrt(972)\/sqrt(3)).\nAnswer: 15*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4327952, -4327847, -4327742, -4327637, -4327532?\nAnswer: -4327427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8172 - 1b8?\nAnswer: 7fba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.158 (b) 5 (c) 2 (d) 20\/27 (e) -1 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57060 and 163255.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147527 or -1798?\nAnswer: -1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4)\/((-265)\/45*-3 + -3).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2559, 5067, 7575, 10083, 12591, 15099?\nAnswer: 17607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (2*sqrt(1100) - sqrt(1100))*3 - (5 + (sqrt(1100) + 0 - sqrt(1100))) - (-1 + sqrt(1100)*2 - (-5 + sqrt(1100) + 1)))**2.\nAnswer: 480*sqrt(11) + 9964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by -38.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 762989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1. Let n(a) = 4*a + 2. Let d(j) = 6*l(j) + 3*n(j). Let i(m) = -29*m. What is d(i(k))?\nAnswer: -348*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 110. Calculate the remainder when 1214 is divided by v(-17).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 + 26*m - 8. Give q(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-13) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7537550 (base 10) to base 12.\nAnswer: 2636012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18174 by -1.\nAnswer: 18174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 - 2*i + 1. Let d(k) = 50*k**3 - 530*k**2 - 695*k - 115. Let f(j) = 5*c(j) + d(j). Determine t so that f(t) = 0.\nAnswer: -1, -2\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -162*h**2 + 2*h. Let o(f) = 60424*f**2 - 747*f. Give -747*i(k) - 2*o(k).\nAnswer: 166*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57518?\nAnswer: 2, 28759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 19*s**2 + 27*s - 11. Calculate l(18).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (23 - (-5 - -140)) + -1 + -8.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z**3 - 109*z**2 + 167*z - 51 = 0.\nAnswer: -17, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1701 = -3*b + 4440. Suppose 4*n = -4*u + 2446 - 390, 4*n = 5*u + b. Does 37 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)\/(2*sqrt(8)))\/sqrt(8))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8680 = 54*j + 21*j - 129*j - 163*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1160037, -1160032, -1160027, -1160022, -1160017, -1160012?\nAnswer: -1160007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z - 2*z**2 + 9 + 2*z - 1 - 4. What is k(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5 + 6 + 7*f - 22 + 4. Suppose -2*d = d - 6. Let a(p) = -3*p + 3. Determine d*q(t) + 5*a(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 - -4.5. Let k = p + 2.6. Let r = k + -3.999. Round r to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0784122 to three decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/582350 (b) 1\/6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.04 less than -637561.23?\nAnswer: -637567.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:23 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 1 + 13 + (-16 - -13) + -35\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1998, -2149, -2302, -2457, -2614, -2773?\n\"Answer: -o**2 - 148*o - 1849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -68*y + 385 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 14) to base 9\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 12, q + 3*p = -7 - 0. Let -84*d - 90 - 211*d + 15*d**q + 30*d = 0. Calculate d.\nAnswer: -1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 78*w**3 + 8*w**4 + 47*w**3 + 1499*w**2 - 207*w**2 + 1360 - 512*w**2 + 1780*w.\nAnswer: 5*(w + 2)**2*(w + 4)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 133. Is 12 a factor of -1 + 3\/3 + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + 18. Calculate the remainder when k is divided by 37\/((-370)\/(-432)) + 6\/(-5) + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - a**3 + 5 - 2 + 0 - a**2 - 2. Let u be d(-3). Suppose -2*t + 390000 = -u*t + 2*r, 0 = -t - 3*r - 78000. Round t to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586699615 to the power of 1\/2, to the nearest integer?\nAnswer: 24222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 22404?\nAnswer: 22408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/5 - 15973*f**3\/5 + 127741*f**2\/5 - 335283*f\/5 + 57474 = 0.\nAnswer: 2, 3, 15965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.187 - 5147.573263.\nAnswer: -5202.760263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + (sqrt(475)*2)**2 + -2)) + 1 + 1 + 0 + (-2*-2*sqrt(475) + (sqrt(475) + 4 + sqrt(475)*1 - sqrt(475)))**2.\nAnswer: 200*sqrt(19) + 9995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189828 - -188244.46. Let x = y - -1583.643919. Let v = x + -0.104. Round v to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -11. Let m be ((-2)\/(-2))\/(2\/u). Suppose -c + 43 = 39. Sort 3, m, c in descending order.\nAnswer: c, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose 2*z - 4*s = 62, 0*z + 3*z = -l*s + 53. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 + 75015*s\/2 + 1875750075\/4.\nAnswer: 3*(s + 25005)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 0.1. Let n = -0.5 - -0.6. Which is the second biggest value? (a) u (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23239427 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 100*b + 821. Let l be w(-57). Let o(v) = v**3 - 23*v**2 + 2*v - 40. Calculate o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/21*3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2*(-3 + 2). Suppose 10*v + 7*v - 119 = 0. Suppose z*s = s + v. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -27*t**3 - 31*t**2 - 7*t - 89. Determine y(5).\nAnswer: -4274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:14 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-3))\/54)\/(-118*(-42)\/11151)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/2)\/((-2)\/4). Let m be (-6)\/9*3\/p. Let i = -0.019 - 1.981. Is m < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49117*d**2*m**3 + 17*d**2*m - 32*d*m**2 + 2*d*m - d wrt m.\nAnswer: 294702*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*g\/(g*g\/(g\/g**(1\/2)))*g))**(12\/5)*g*g\/g**(2\/9)*g*(g\/g**(1\/5))\/g*g assuming g is positive.\nAnswer: g**(107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49282\/3005)\/((6\/(-10))\/((51\/4)\/17)).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -73. Let b = x + -171\/2. Let i be -4 + 0 + 9 + -1. Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 - (227 - -25)\/(-21). Which is smaller: h or 3\/3646?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-166)\/(-400) + ((-378)\/(-243) - (-278)\/(-144))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*z = -10 - 20, 2*m - 14 = -4*z. Let j(h) = -2 + 5 - 2 + m*h - 4*h. Suppose 0 = c + 4*c - 20. What is j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.7578016 and -4.\nAnswer: -67.0312064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 9*m**2 + 4. Let h be k(9). Let y(r) = -r + 3. Calculate y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -399*q + 4861. Determine j(12).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 62 + -87 + (7 - 5 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 882761.2 years?\nAnswer: 10593134.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*t**2 + 0 + 208\/7*t.\nAnswer: t*(t + 208)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*k**3 - 4*k + 195*k**3 - 41*k**3 + 4*k - 70*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let q(m) = 149464 - 149464 - 261*m. What is l(q(s))?\nAnswer: 522*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/14)\/(1\/(-7)). Let x(q) = -q + 25*q**i + 9*q - 24*q**2. What is the smallest common multiple of 28 and x(-10)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/1 - (-6 + 6). Let b = -84 + 111. Suppose -b*h + 81 = -24*h. What is the highest common factor of h and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*s - 65*s - 59*s + 132. Let v be 2\/6 - (-55)\/(-75). What is the third biggest value in v, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82351470 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8*(2325\/(-332) - -5 - -2)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1206.9 - 1207. What is the closest to z in 1\/3, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-20)*w*w\/(w**(21\/2)*w))**(-6) assuming w is positive.\nAnswer: w**177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*f - 15, 0*t + 2*f = t - 8. What is the closest to -1\/2 in 3, t, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 487928.4 centimeters?\nAnswer: 4879284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0) + (-6)\/6. List the prime factors of -3 - 74\/4*j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91354.\nAnswer: 2, 45677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 40*z - 2. Let h(m) = -3*m**2. Calculate a(h(s)).\nAnswer: -120*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-2)\/4*-34. What is the common denominator of (-2)\/h + 507\/(-28) and 395\/6*(-2)\/20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -3\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -8, 3*g = -u + 2*g + 15. What is the remainder when (1\/(-2))\/(1\/(-42)) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*((-2*q + 3 - 3)*(-12 + 14 + 32) + 79 - 79 + 42*q).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 278*s + 4663. Let w be i(-17). What is the third smallest value in w, -0.3, 0, -1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + 15.5. Let d = w + -20. What is the closest to -2 in -2\/7, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7528810?\nAnswer: 2, 5, 752881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10800 and 28.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 811\/5?\nAnswer: 811\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -710443.485 rounded to the nearest 100?\nAnswer: -710400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -3\/4 (c) -4 (d) 1\/4 (e) -1894\/13 (f) 3\/19 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*o + 523*o + 13 = -w, -2*w = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b - 783*b - 162*b in the form x + q*b and give q.\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 4*r + 6. Let s be -1*3 + 5\/(-5). What is the units digit of b(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 123479706, 123479702, 123479696, 123479688, 123479678, 123479666?\n\"Answer: -s**2 - s + 123479708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -781 - 2767. Suppose -31*n = -30*n - j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let p(c) = -c + 1. Let w(u) = -27 + 204 + u - 49 - 40 - 44 - 50. Calculate j*w(h) + 10*p(h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -6*q + 120. Suppose q*u - 688 = 4*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*z + 26*z + 20*z + 22*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21057240 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j. Let b(i) = 2*i**2 - 16738*i. Determine b(r(a)).\nAnswer: 8*a**2 - 33476*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 2. Let h(y) = 2*y**2 - 173*y + 3220. Let j be h(27). Let a(x) be the third derivative of x**6\/24 - x**3\/2 - 2*x**2. What is j*b(v) - 4*a(v)?\nAnswer: -6*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -2*z. Factor -7*k**2 - k**2 + 0*k**3 - 4*k**z.\nAnswer: -4*k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 3*m)*(0*m - 2*m + 3*m) - 20*m**2 - m + m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 1 + 1)*(5*t - t - t) - 3*t**2 - 20*t**2 + 4*t**2 + (-t + 0*t - 3*t)*(-3*t + 3*t + t).\nAnswer: -29*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 15 - 115. Let r = 346 - 351. Let s be 2\/r + (-1781)\/j. Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k - 4*k)*(5 - 3 - 3 - 2 + 1 - 1 + (1 - 3 + 1)*(1 - 1 - 1) - 1 + 1 - 3)*(-15 - 4 - 7)*(-3 - 3 + 5)*(-27*k + 11*k + 6*k).\nAnswer: 3900*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 10*s. Let x be (s\/(-4))\/((-3)\/((-24)\/(-1))). Solve -x*f = -4*b - 24, b - 4*b + 2 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6637, -7986, -9335, -10684, -12033, -13382?\nAnswer: -14731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42421 - -7?\nAnswer: 42428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40586 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82473 + 82472.34039. Round s to three decimal places.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/15 and 7\/174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*1)\/(1*sqrt(54)\/sqrt(6)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times -0.09?\nAnswer: 3.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u + 8. List the prime factors of (-3 - (-5)\/u)*-4.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 24868*x - 154604356.\nAnswer: -(x - 12434)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from {n: 7, t: 5, s: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 24*b - 29. What is s(12)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2729 - 1915. Calculate the remainder when l is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-12)\/(-90)*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610262 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*c = 164, -3*c = -0*v - 5*v + 206. Suppose -2*h + v = -0. What are the prime factors of (-274)\/(-8) + h\/(-16)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v**2 + 6*v - 7. Let f(g) = -6*g**2 + 3*g - 3. Determine 5*f(l) - 2*x(l).\nAnswer: -4*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/139 - -6814\/417. Suppose -6*m - 35 = 67. Let v = m + j. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x + 4*m + 41, 8*x - 6 = -2*x + 17*x - 10*x + 3*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(264\/(-11))*1260\/1365.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 2*g**2 - g + 3. Calculate n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.7, -2 in increasing order.\nAnswer: -2, -1.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/18 - (-44)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.78 and 5417.\nAnswer: 5416.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1275032400 divided by 318758100.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 122, 124?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 - 655 = -4*r. Suppose 6*w - 12*w = r. List the prime factors of (-1988)\/w + (-8)\/36.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.82 in 2\/3, 0.3, -3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*y + 28*y. Let p(l) = -6*l**y - 15*l**2 + l - l + 14*l**2. Let r(k) = 0*k**2 - 3*k**2 + 4*k**2. Determine p(r(f)).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (569*g**3 - 829*g**3 + 579*g**3)*(-2 + 2 - 2*g) + (1 + 2*g**2 - 1)*(-2*g**2 + 0*g + 0*g).\nAnswer: -642*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/77 and 75\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47510 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 178. Let a(z) = -2*z - 90. Calculate 5*a(t) + 3*l(t).\nAnswer: -t + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5044?\nAnswer: 25220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79545819?\nAnswer: 3, 37, 716629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96405*w**2 + 1 + 1 + 192759*w**2 - 2 - 96370*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 321082493 and -0.5.\nAnswer: -160541246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 5*x**2 + 6*x + 10. Let o be m(-4). Let b = o + 67. What is b rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 1, e: 1, j: 5, t: 4, d: 4}. Give prob of sequence mct.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24830782?\nAnswer: 2, 61, 203531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -6184323?\nAnswer: 6184313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 18 - (42 + -44 + -7 + 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*b + 6 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04679947 + -0.09320095. Let g = y + 0.14. Round g to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041313528182 - 0.2?\nAnswer: -0.241313528182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let i(h) = h**3 - 12*h**2 + 4*h + 13. Let t(m) = i(m) - 5*s(m). Let f be t(12). Sort f, -11, 5 in decreasing order.\nAnswer: 5, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 1\/6 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6361 - 6367. Let a(i) = -7*i + 5. Let n be -3*(8\/6)\/1. Let x(z) = -z - 3. Let h be x(n). Let v(b) = -b + 1. Give h*a(k) + m*v(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.024.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -47, -174, -427, -848, -1479, -2362, -3539?\nAnswer: -5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037018 rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 126*c - 40. What is w(-2)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*x, -11*x = -6*x + 4*z + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -717 - -20418. Is r a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*2\/2*-1. Let m(d) = 2*d - 29. Let f be m(16). Suppose f*n + u = 20. Solve 3*g = n*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 131338905 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 33*k - 250. Does 24 divide h(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -364, -943, -1744, -2761?\nAnswer: -3988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.487 to the nearest integer.\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 6:04 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 620 + -260. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 930*n - 213902. Let r be l(230). Let t = -0.1 + 0.1. Which is the closest to t? (a) -0.3 (b) 2\/3 (c) r (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aumydaaamauuda. What is prob of picking 2 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1397 = 92*r - 306 + 657 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2)\/1 - 16\/(-36).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1379 and 3743.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 greater than -18988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017548098 to seven dps.\nAnswer: -0.0001755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 38. Let p be l(-12). Solve -2*n - 6*j = -2*j + 8, -14 = -4*n + p*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - r = -37, g + r = -0*r + 13. Suppose -3*d + 3*x + 51 = 0, 5*x - g - 11 = -3*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w. Let n(z) = z. Let h(c) = -3*c + 3. Let y be h(-10). Let x(p) = y*n(p) + 6*s(p). Let k(b) = -2*b - 3*b + 4*b. Calculate x(k(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0156629 * 3\nAnswer: 0.0469887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:24 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-400)\/(-290)))\/(((-7)\/(-4))\/(-7)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23079936 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10382 a factor of 4794521297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*l = 389*l - 4*h + 5, -8 = -4*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 58\/(-6). Let k be (8\/5)\/((-1)\/(-15)). Let f be (k\/30)\/(4\/g). Solve 0 = -x - 0 - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100100 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 995073*m*n**2 + 5*m*n - m + n**2 - 57*n - 361 wrt n?\nAnswer: 1990146*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -w - 2*w. Let b = -13 - -17. Let s = b - w. Is 2 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 4*r**3\/15 + 126*r**2\/5 + 866. Factor z(d).\nAnswer: 4*d*(d + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 15 - 24. Let f be (4\/(36\/11733) - h)*525. Round f to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4671*j + 74484. Determine d(-16).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 2*u**2 - u + 3. Let q be f(-3). Let c(t) = t - 1. Suppose 0 = 6*m - 5*m - 3. Let o be c(m). Put o, q, 0 in ascending order.\nAnswer: q, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 196 and 3.6.\nAnswer: 199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 1. Let b(o) = 2*o**2 + 54*o + 3. Give b(q) + 3*g(q).\nAnswer: -q**2 + 54*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 20 + 4 = 0. Let s be (0 - -1)\/((-4)\/h). Suppose 5*v - 24 = 4*p, 8 = s*p - 0*p. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/21)\/((-3)\/14). Suppose -6*h = -5*g - 2*h - 215, 172 = -4*g + 5*h. Does 14 divide ((-8)\/f - -1)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/11 - 131922*p**4\/11 - 1055510*p**3\/11 + 395762*p**2\/11 + 3430356*p\/11 + 2111008\/11 = 0?\nAnswer: -8, -1, 2, 65969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(396) - (sqrt(396) + -2 + -4) - ((sqrt(396) + 1 - sqrt(396))*-3 - sqrt(396))).\nAnswer: 6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 9*f + 8. Let p be y(7). Let n be p + 6\/3 + -2. Suppose -n - 12 = -5*x. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**2 + 14*q - 5. Let m(u) = -19*u**2 - 29*u + 11. Let p(l) = 13*k(l) + 6*m(l). What is the tens digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 8, 4, -2, -10, -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 8220*m**2 - 3 + 8217*m**2 + 3 + m**3.\nAnswer: -2*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*-2*sqrt(88))\/(sqrt(128)*-5).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (-3 - 0 - -56) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 633 + -638. Let y be (36\/(-8 + 2) - 62) + r. Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:53 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131\/30 + 25\/6. Which is bigger: q or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2314, 2282, 2230, 2158, 2066, 1954?\n\"Answer: -10*f**2 - 2*f + 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28635 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1170112265 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36069 divided by -5?\nAnswer: -36069\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-214)\/(-255) - ((-38)\/(-10) + -3). Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*c + p + 3, 2*c - 6 = 2*p. Is (c - -271)*(6 - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (351\/975)\/(6\/10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 3, 0.335?\nAnswer: 0.335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.57 minus 373?\nAnswer: -409.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 53091*l + 265469. What is m(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2642 (base 7) to base 11\nAnswer: -839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.6467l in millilitres?\nAnswer: 935646.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v - 3*z, -4*z + 10 = -5*v - 0*z. Suppose -3*x = -a - 13, 0 = -5*x + x + v*a + 20. Solve -b = 4*m - 5, -x*m + 0*m + 3*b = -15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4994611 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert -11323300223 (base 4) to base 8.\nAnswer: -5736053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 388543\/(-2) + 1\/(-8)*-4. Let h = 380271 + q. What is h rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2302*b**2 + 1152*b**2 + 336*b**3 - 572*b**3 - 4*b + 1150*b**2.\nAnswer: -236*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -21\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 9*c**2 + 10*c - 12. Let u = -1 + 9. Let z be v(u). Suppose -z*g + 95 = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017567 to seven decimal places.\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58688 + -6?\nAnswer: -58693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/10 or -93\/50?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let g(i) = -2*i**2. Let h(q) = 8*q - 2. Let b be h(4). Let k(n) = 14*n + 85. Let p be k(-4). Let u = p - b. What is u*g(j) - 6*x(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 - 8*h**2 - 174*h + 21. Determine a(7).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -284\/11. What is the closest to -0.03 in b, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x - 6*x + 5*x - 6*x - 434*x**3 - 150*x**3 to w*x + u*x**3 + k*x**2 + v and give u.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3 + 161*i + 784*i - 1682 + 3*i**3 - 118*i**2 + 853*i = 0.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.99999999 - -12. What is s rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*b - 1, -3 = -2*d + 5*b - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 + 2*a + 5. Let q be u(6). Suppose 3*c - 72 = 5*b, 3*b - 5*c - 33 + q = 0. What is the tens digit of (-580)\/b - 2\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 17.3. Let s = u - -16.0006. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) 28 (c) 5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8a78 + -1?\nAnswer: -a8a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-3))\/(1220\/(-61)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*t**3 - 14 + 6 + 8.\nAnswer: 463*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.83 + -4.03. Is n > 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 5:47 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.223 in -5\/4, -0.3, -2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.18+-1.2\nAnswer: 2.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32479*b**2 + 30869*b?\nAnswer: -64958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a94099 (base 11) to base 16\nAnswer: -1aaaff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6051552 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -18*j. Let u(n) be the third derivative of n**4\/24 + 2*n**3\/3 + 682*n**2. Determine d(u(b)).\nAnswer: -18*b - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(1 - 13\/10). Let h = -13 + z. What is the remainder when 25 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*l - 12780 = -4*t, 0 = -8*l. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k + 5*y, -2*k - k = 4*y - 17. Suppose 32 = k*v - 169. Let j = v - 18. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(1088)*1) + 2 + (sqrt(68) - sqrt(17)))**2 + -4.\nAnswer: -24*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 + 0)*(-32)\/(-128))\/(140\/(-65) + 2).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -7. Suppose -3*p + g = 1, 3*p + 2 = 4*g + n. Suppose 0 = -37*b - b. Put p, b, -4 in increasing order.\nAnswer: -4, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 7423356.\nAnswer: -7423364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 153 + -7?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 8. Let y(l) = -l**2 + 7*l + 17. Let h(r) = -5*p(r) - 2*y(r). Let d be h(-4). Suppose -x - 9 = -d. Solve -x*o - 1 = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65596466 to the power of 1\/2, to the nearest integer?\nAnswer: 8099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -73 + 0*z**2 + 0*z - 13\/3*z**3. Let c(v) = 3*v**2. Give w(c(n)).\nAnswer: -117*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2))**(7\/5)*(l*l**(3\/13))\/l**(2\/67) assuming l is positive.\nAnswer: l**(28751\/8710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815417.\nAnswer: 3, 43, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*j*l**2 + 9651050*j - 71057*l**2 wrt l.\nAnswer: -18*j*l - 142114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24232 and 364.\nAnswer: 169624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -28*m + 29*m + 1356 - 1355. Let c(i) = 57*i + 95. Calculate c(q) - 95*p(q).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -410, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262646 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, g: 1, w: 1, q: 2, u: 2, i: 4}. Give prob of picking 1 w and 1 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v. Let y(w) = w**2 - 4*w + 1. Let k be y(3). Let x = v - k. Solve -7*s = -x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860066 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0238 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(200) + -3)*5*-6)**2.\nAnswer: -54000*sqrt(2) + 188100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777866?\nAnswer: 2, 388933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6997, -413, -1.\nAnswer: -6997, -413, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.1 - -68. Let h = f - 7. Let i(z) = 2*z**2 + 31*z + 17. Let o be i(-15). Which is the closest to h? (a) -0.2 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (365\/876)\/(((-480)\/(-27))\/8)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = 21*c - 22*c. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -7. Suppose -7 - i = -f. What is the highest common factor of 35 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424000023 (base 5) in base 9?\nAnswer: 15334877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201112 (base 3) in base 9?\nAnswer: 5645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 65. Let y = w - 32. Suppose -2*r + 15 = -y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 134 + 59?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23706587?\nAnswer: 23706587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 120. Let h = r + -54. Solve 2*a = -0 - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-20 - -9)) + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/21*(-45441)\/(-5049).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 9*g**2 - 26. Let m be -24 - (-19)\/((-19)\/(-15)). What is r(m)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -f + 3*c + 35, f = 4*c + 40. Suppose 4*u - f = 9*u. Let b(v) = v + 8. Is b(u) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*r + r + 2*z, -5*r - 43 = 4*z. Let v = r - -21. Let y = -20 + 35. Solve -v = -4*b + 2*b - 2*o, -5*b + 5*o = -y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135825.\nAnswer: 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v**(-9)*(v*v\/(v**(3\/2)*v*v)*v*v)**31)**50 assuming v is positive.\nAnswer: v**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339560 is divided by 161.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.2, 1\/8, -57, -4 in descending order.\nAnswer: 1\/8, -0.2, -1\/4, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((850\/15)\/17)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 72 - 88 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1581*w**2 + 623*w**2 + 1713*w**2 + 3415*w**2.\nAnswer: 7332*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3650757091, 3650757092, 3650757093?\n\"Answer: n + 3650757090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 27 = -o + t*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-5)\/((-375)\/(-5)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 38. Let s be 4\/3*x\/(-4). Let d(v) = 78*v**3 - 3*v**2 + 8*v + 4. Let z be d(s). Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -150, -165, -180, -195?\n\"Answer: -15*b - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 + -1 + 2\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(35)\/sqrt(45) + 0 + sqrt(448) + sqrt(448))**2*-1.\nAnswer: -16852\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 178009 (base 10) to base 11\nAnswer: 111817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2288 and 113\/64200.\nAnswer: 18361200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/399 and 43\/2625.\nAnswer: 49875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 30 = -37*g + 32*g, 0 = g - 2*w - 3 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144885388 is divided by 1599.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 19*q**3 + 3*q**2 - q - 1. Suppose -5*l + 0*l = -5. What is the tens digit of r(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/331772 and 91\/76296.\nAnswer: 21896952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = 0, -l - 3*m - 206 = -5*l. Calculate the highest common factor of 265 and l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 219?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) -0.25 (c) -1184 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124525700 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjd when three letters picked without replacement from jddjdfjdjdd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11100111010000000 (base 2) to base 13\nAnswer: -41b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (100\/2)\/(-1 - -1 - (-6)\/1431)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o - 73*o - 375 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2 + 30\/16). Is (8 - -2)*(-12)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7237341 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 + 36 = 2*h. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4161558 to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9*s = 4*s - 44, s = 2*j + 55. Let c = j + 26. Calculate the remainder when (0 + 1)\/(c\/(-87)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*f = 27, -3*c = 2*c - 5*f - 45. Let l(u) = -u**2 - 252 + c*u + 130 + 130. Let o be l(6). What is the highest common divisor of 120 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/(-30)*3\/(-2). Solve 0 = g - 3*g - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 104 (b) 0.4 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*d + 3 = 0, 2*z + z - d = -1. Let i(j) = -j**3 - 2*j + 235. What is the units digit of i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttahhdt. What is prob of picking 1 a and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2477, 4951, 7429, 9911?\nAnswer: 12397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 + 21 + 15)*(2*c**3 + 3*c - 27*c**3 - 5*c**3) to a*c**2 + r*c + h + w*c**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 4 = 0. Solve n*l - 14 = -q, -l - 11 = -3*q - q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-4)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212883 is divided by 606440.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -38881279412?\nAnswer: 38881279416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*j**3 - 43613*d**2 + 5558*d*j**3 + 4*j**3 wrt d.\nAnswer: 4*j**3 - 87226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-84) - (-4)\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -18, -133, -358, -729, -1282, -2053?\nAnswer: -3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o**(-2))**(-2\/77) assuming o is positive.\nAnswer: o**(-24\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 74 + 67 - 214 + 73 + 2*s. Let t(z) = 54*z - 2. Determine t(u(x)).\nAnswer: 108*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5670729?\nAnswer: 5670729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97, 338, 989, 2254, 4337, 7442, 11773?\n\"Answer: 34*b**3 + b**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/56*(-52)\/(-6)*(-1448)\/(-1086)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -278, -328, -376?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.536 - 4.1. Let l = o + -0.4. Let m = -0.0373 + l. What is m rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1220, -1275, -1368, -1499, -1668, -1875, -2120?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1340\/(-1206) - (46272\/(-108))\/4?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.8. What is the closest to -1 in 2\/13, i, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 35459, 4, -4 in descending order.\nAnswer: 35459, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:45 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + 4*d)*(-6*d**2 + 2*d**2 + 3*d**2) + 5*d**3 - 3*d**3 + 0*d**3 + 13*d**3 + 29*d**3 - 3*d**3.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12508255 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w, -4*g + 2*g + 5*w - 31 = 0. Let h(v) = -6*v**2 + 7*v - 1. Let x(o) = 2*o**2 - 2*o. Let n(d) = g*x(d) - 3*h(d). Is 3 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21\/32 + 13\/32. Sort 15, 5, -3, g in increasing order.\nAnswer: -3, g, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63, 129, 197, 267, 339, 413?\n\"Answer: n**2 + 63*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1551, -5, -2, -7, -3, -6.\nAnswer: -7, -6, -5, -3, -2, 1551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -17, 39, 16, 4 in decreasing order.\nAnswer: 39, 16, 6, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvx when four letters picked without replacement from xvttgwtttxtttvwttxt.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 less than 1.89?\nAnswer: 1.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4324 - -1?\nAnswer: 4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-70)\/(-24)))\/((-4236)\/15885).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -806 + 1 + (0 - 8) + 8. Put -5, l, 0 in descending order.\nAnswer: 0, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-7)\/1 - 3. Let h be 36\/(-8)*u\/9. Suppose v - 3*z = 3*v - h, 3*v + 16 = 4*z. What is the second smallest value in 1\/7, 5, v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6221503, 6221500, 6221497?\nAnswer: 6221494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2871 - -1514. Suppose -4*j = -643 - c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-2)\/(8\/(-26))))\/(8818\/974389)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 - s\/2 + 6 = 0. Calculate s.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*n**3 - 9126*n**2 + 34064*n + 11040 = 0. Calculate n.\nAnswer: -460, -3\/10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6 and 89\/420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 2. Is z(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 70 = 8. Let s(d) = -2*d**2 + 2*d + 5. Let w(j) = -j**2. Let l(i) = -s(i) - w(i). Let f be l(6). Calculate the highest common factor of u and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 8581*c\/4 + 8565\/2.\nAnswer: (c - 2)*(8*c - 8565)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -1748, 0, 6 in ascending order.\nAnswer: -1748, -4, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 34, 23, 2, -29, -70, -121?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 2. Let p(u) = -u**2 - 3*u + 5. Let y be p(-4). Let f = 4 - y. Let g be m(f). Round g to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4069 * 0.5.\nAnswer: -2034.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -286 * 2\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - y**2 - 1 + 1)*(y**2 - 2*y + 2*y + (-2*y + 3 - 3)*(-y - y + 0*y)).\nAnswer: -5*y**4 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 249*b + 1992. Calculate p(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -4 + (14\/2 - -1). Let c(w) = 82*w - 8. What is the hundreds digit of c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n + 2*c + 5, 0 = -4*n + 3*c + 20. Let q(m) = 0*m**2 + m**2 - 3*m + n*m + 0*m. Suppose -8*r = -7*r. What is q(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 6*d - 8. Let l(y) = -y**2 + 6*y + 8. Let q(j) = 5*l(j) + 4*t(j). Let f be q(6). Solve 3 - f = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {c: 1, s: 1, b: 1, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5417 + -5386. What is the nearest to t in 2\/17, 4\/7, -1\/5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 968374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3915 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10774.\nAnswer: 2, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -1.1, -2\/9, -1 in increasing order.\nAnswer: -1.1, -1, -2\/9, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + q + 18 = 0, 5*h = -q + 36 - 34 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 17. Suppose l - 2*h = 13, 4*l + h - 16 = 54. Let f = l + g. What is the remainder when 25 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*c - 38*c + 100*c - 228 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15936 or 1?\nAnswer: 15936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/3, -3, -2, -5, 360 in decreasing order.\nAnswer: 360, 1\/3, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*m + 172*m + 1900 = -1444. Sort -1, 0.4, m, -1\/4.\nAnswer: m, -1, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2921 + 177 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31899741317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 27. Let z be a(-8). Let w be (z + -4)\/(2\/(-8)). Is 10\/w*134\/5 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1.03, 254, -2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19416 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: Calculate -84 divided by 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13431 + 67299 = 90*s. Calculate the highest common factor of s and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 66*w\/5 + 2268\/5.\nAnswer: -2*(w - 54)*(w + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*y + 80*y + 5 = -3*h, 8*y - 12 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 781, 1560, 2335, 3106, 3873, 4636, 5395?\nAnswer: 6150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4960530077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1492 - -1507. Solve -2*w + 34 = q*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -33*t**2 + 9*t + 7. Let f(l) = -17*l**2 + 5*l + 4. Let w(z) = -7*f(z) + 4*u(z). Suppose -1 = -n + 5*v, 2*n - 7*v = -8*v + 2. Determine w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**4 - 13*i**3 - 36*i**2 - 42582 wrt i?\nAnswer: 12*i**3 - 39*i**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -34*u + 46. Calculate t(7).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3028 - 494. List the prime factors of s.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*x = 6, 2 = -3*f - x - 8. What is the biggest value in 2, -0.4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4952712.\nAnswer: 2, 3, 17, 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1683 + 1694. Solve n + q*n + 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214071384 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (1*sqrt(847)*-1)**2 + -4.\nAnswer: 11*sqrt(7) + 843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 367 - 307. Suppose -4*p + 4*o = -y, 0 = 5*p - 3*o - 36 - 45. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 - (-16 + (-16 - -55) + -36).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101834*y**2 - 21828.\nAnswer: -203668*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*w + 26, 3*i + 6 = 4*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.2 - -887.8. Let x = z - 813.1. What is x rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08743*-2.\nAnswer: 0.17486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -261755*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2. Suppose 0 = -x + 2*x - 2. Let g(v) = -x*v + 0*v + 0*v. Give g(l(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a - 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017772422 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + -186 + 211.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15826776 divided by -6\nAnswer: -2637796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89467*j**4 + 110029 wrt j?\nAnswer: -357868*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 712639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 43*t - 39. Let w(v) = -300*v + 273. Let b(h) = -15*f(h) - 2*w(h). Differentiate b(y) wrt y.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/46 + -1 + (1646525\/9246 - 178)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 799*i*q**3 + 95*i*q**2 + i wrt q.\nAnswer: 4794*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 346403*m + 47515.\nAnswer: 346403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 97, 225, 405, 637, 921, 1257?\n\"Answer: 26*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 50*h**2 + 60*h + 212. Calculate d(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**3 - 4*x + 2. Let r be s(-6). Let f(w) = 2*w**2 + 2*w + 1. Let t be f(2). What is the greatest common divisor of t and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 31 = -1. Sort 3, c, -3, -1 in decreasing order.\nAnswer: c, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*m + 2*b - 23, 3703*m = 3699*m + 5*b + 69 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*s**3\/3 - 3445*s**2\/3 - 2828*s\/3 + 628\/3.\nAnswer: (s - 314)*(s + 1)*(11*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 26 = -g. Suppose -4*b + 43 - 31 = 0. Solve -5*a + 19 = -l, l - b - g = -a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 113 = 3*l, 14*l - 5*p = 9*l + 175. Calculate the greatest common factor of l and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 20. What is the derivative of 3*n**2 + 0*n**2 - v - 15*n**2 + 9*n**2 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49408071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {j: 2, k: 1, z: 5, w: 1, c: 9}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + r = -7518. What are the prime factors of r?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827851.8 rounded to the nearest 1000?\nAnswer: -1828000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, 1 x, and 1 f when four letters picked without replacement from xsfhihi?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6822 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39, -34, -17, 18, 77?\n\"Answer: d**3 - 2*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - -2*sqrt(84))\/(sqrt(3) - (sqrt(432) + -2*sqrt(432) + sqrt(3))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25522027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, c: 1, k: 5, e: 1, s: 2}. What is prob of sequence kesk?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.802?\nAnswer: 2.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let q(r) = -71841*r. Determine d(q(b)).\nAnswer: 5161129281*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20452\/21 - 974. Let g = -25\/44 - 2\/11. Sort -1, g, h.\nAnswer: -1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 times 3\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402 + 90*z - 201 - 200 to g + l*z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 52 - 64 = 0. Solve 4 = 2*y, 0 = -u - t*y + 2*y + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34400000 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 4, 7 in decreasing order.\nAnswer: 7, 4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9081 is divided by 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(228) - (sqrt(228) + sqrt(228) + sqrt(228)*-2)*-2)\/((sqrt(108)*-1 - sqrt(108))\/sqrt(9))*3 + 1)*1.\nAnswer: 1 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 6*r - 4. Let u be b(3). Suppose 0 = 3*v + t, -4*v + 5*t = u - 4. Is 7 a factor of ((-49)\/(-14))\/(v\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -102 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26186.708 take away -7?\nAnswer: -26179.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(-4*y - 7 + 6*y - 6*y) to q + a*y and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23301.3+0.564\nAnswer: 23301.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 + f - 16. Determine l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**7\/525 + p**6\/150 + p**5\/150 + p**2\/2 - 2. Let y(q) be the second derivative of r(q). Let y(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*s - 63*s + 4 - 3)*(s**2 - s**2 + 5*s**4 + 2).\nAnswer: -35*s**5 + 5*s**4 - 14*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 99. Let a(l) = -10 - 4 + 14 + 8*l**w. Suppose 0 = -2*o - 3*c + 2, -2*o + 5 - 3 = -4*c. Determine a(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 45 = -3*g + 5*h, 5*g + 2*h - 33 = 0. Suppose g = -7*r + 2*r. Let z be r\/(9\/(-6))*-1. What is the closest to z in 0, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.2096, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:19 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 118. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -6 = g*h - 26. Solve -4 + 19 = h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - 2\/(-6). Let p be -2*3089\/22*1. Let h = p + 281. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*h - 2. Let i(t) = -t**3 + 3*t**2 - 4*t + 3. Let x be i(h). Calculate the remainder when 23*(x\/(-6))\/((-6)\/(-4)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 9:55 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -13*o**6\/360 + 7*o**4\/6 - 8*o. Let t(w) be the third derivative of h(w). Let c(z) = -2*z**2 + 3 - 6 + 3. Determine c(t(r)).\nAnswer: -1352*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -26. Suppose 0 = n - 2*u - 0*u - 10, -4*n + 12 = -u. Is 38 a factor of m*22*n\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993520779?\nAnswer: 3, 331173593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.9017 + -9.455. Round o to two decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let v = k + 0. Suppose 2*p = 6*p - 12. Solve v = p*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170)*6 + sqrt(170)) - sqrt(170))\/(1*sqrt(250))*6.\nAnswer: 246*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74, -67, -70, -89, -130, -199, -302, -445?\n\"Answer: -i**3 + i**2 + 11*i - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = -f + 3, 0 = -5*f - x - 14. Suppose 3*y - 225 = -2*h, 0*y - 2*y - h + 150 = 0. Put y, f, -5, -4 in descending order.\nAnswer: y, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 4.02. Let g = s - 0. Let i = 17.9 - 18. Which is the nearest to 1? (a) g (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*p - 308, -3*k + 448 = p - 10. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let t be 4\/4 - o\/2. Solve 5*p + 31 = -t*s + 6*s, -3*s = -p - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 15 = 0. Let j(b) = -b**2 - 3 + 6*b + 0 - b. Let c be j(4). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/356 - (-24696)\/(-100926)) + (-1)\/3\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 9) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*j + 1. Let q be j\/(-2)*2*3. Which is the third smallest value? (a) q (b) 1\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 1. Let v(k) = -5*k + 1. Let h(b) = 4*b - 1. Let w(p) = 6*h(p) + 5*v(p). Let d = 2 - 3. Calculate d*a(l) + 2*w(l).\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -o + 4, -13*o + 17*o - 4 = -2*x. Which is the nearest to -1? (a) 0 (b) -0.031 (c) o (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -22. Solve -12 = x*z - 7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1064 and 1118488?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-8)*16\/24*(-44)\/(-847)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2. Let x(v) = 3*v + 2. Calculate k(x(r)).\nAnswer: 18*r**2 + 24*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:35 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 2*b - 54. Let a = -261 + 368. Suppose 3*o + 2*v - a = v, 4*o - 5*v - 149 = 0. Calculate the highest common divisor of b and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 23, -8, -51, -106?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6926, -6565, -5962, -5117, -4030?\n\"Answer: 121*g**2 - 2*g - 7045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6123834677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1351.9 + -1437. Let l = -38 - u. Let q = -50 + l. What is q rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - 4*t)*(-893 + 36*t + 229*t + 891).\nAnswer: -265*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*a + 20 = 0, 3*a + 34 = 3*y - 44. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -43. Suppose -s = -f + 4*q, 0*f - 4*f - 3*q = 3. Suppose f*x + x = 132. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*w**3 - 254*w**3 + 231*w**3 - 335*w**3.\nAnswer: -653*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49275988 is divided by 283?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*o**3 + 2*o**2 - 28*o**3 + o**2)*(-13*o**2 + 11 - 11).\nAnswer: 845*o**5 - 39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(180) - sqrt(456)\/(sqrt(12) + sqrt(12)*-2))\/((sqrt(90)*1 + sqrt(90))\/(sqrt(90)\/sqrt(2))).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/5 in 1, 0.09, 0.1, 267?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -92910455 divided by -8446405\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 1 w when three letters picked without replacement from kfddddfkwkfdf?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*z. Suppose -3*j + 300 = 7*j. Let y = 32 - j. Solve 13 + y = z*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 16*k + 5. Let u(h) = 78*h + 24. Give -3*u(z) + 14*x(z).\nAnswer: -10*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -3*n + 0*n**4 + 2*n**2 - 1\/6*n**3 + 1\/20*n**5 + 0. Let s be v(0). Solve -5*l - 3*i + 0*i = -1, 4*i = s*l - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 13*h**2 + 3*h + 17. Let b be r(-13). Let c(d) = -9*d - 4. Let a be c(-4). Let y = a + b. Solve -2*f = 3*f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let k = -99 - -102. Let y(x) = 9*x + 37 - 18 + 5*x - 18 - k*x. Give y(r(h)).\nAnswer: 11*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3237.327 litres?\nAnswer: 3237327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.1, 5, -53, 0.7?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1*(-54)\/(-12). Let h(t) = 2 + 3*t - t + 0 + 0*t**2 + c*t**2. Is h(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, 569, 5.\nAnswer: -1, 3, 4, 5, 569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 + i**3 - i**3)*(6 + 0 - 1) + i**5 + 0*i**4 + 0*i**4 + (0*i - 6*i + 3*i)*(0*i**2 - 2*i**4 + 0*i**2).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022973306 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 10 = 11*c. Let d = -3 + c. Suppose -2*h + d*h = 700. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854733700 to the power of 1\/2, to the nearest integer?\nAnswer: 29236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 40*f**2 + 12*f + 215. Give d(-40).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 33*v + 62. Determine f(33).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -13, 940284 in decreasing order.\nAnswer: 940284, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414869963?\nAnswer: 67, 907, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 2, d: 3, j: 5, o: 1, a: 1}. What is prob of sequence ho?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:15 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-7) - 2\/3. Let s = -31 - -30.7. Which is the smallest value? (a) s (b) -1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/35)\/(4\/(-30)*3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g = v - 4818, -5*g - 5*v = -6015. List the prime factors of g.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -307, -1205, -2701, -4795, -7487, -10777, -14665?\n\"Answer: -299*x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - (sqrt(240) + 2*sqrt(240) - sqrt(240))*6) + sqrt(240))\/(((2*sqrt(144) - sqrt(144))*2 + sqrt(144))\/sqrt(12)).\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6 - h**2 + 146*h + 342*h - h**2 - 495*h. Let t(z) = 3*z**2 + 13*z + 11. What is 11*f(a) + 6*t(a)?\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - z - 2587, -5*a - 5*z + 2605 = 0. Let n = a + -320. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 5*f**4\/12 - 4*f**3\/3 + 3*f**2\/2 - 3*f. Let j be m(5). Find the common denominator of 1\/4 - j\/(-12) and -89\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3010*p**4*u + 463*p*u - 99897120*u - 3 with respect to p.\nAnswer: 12040*p**3*u + 463*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.386 + -1.2. Let w = o - 0.29. What is w rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/4)\/k)\/(k\/(k\/(k\/(k\/(k\/(k*k**(-1)*k))*k)*k)))*k\/((k\/(k**(-1\/2)*k))\/k*k*k)*k*(((k*k*k\/k**(1\/4)*k)\/k)\/k)\/k)**3 assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21618100, -21618101, -21618102?\n\"Answer: -b - 21618099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 3670*z + 130825. What is t(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.7680278 - 0.7324312. Let v = n - -10.5. Round v to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42042832160 to the nearest one million.\nAnswer: 42043000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14063.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -10. Let w = k + 0. Solve 5*z = 3*n - 5*n - 27, 3*z = -w*n - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 8) to base 11.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 11*r = -10134. Suppose 1049 + r = 4*c. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6639268.\nAnswer: 2, 1659817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = 0. Let m = 321.5 - 320. Sort 0.4, z, m in increasing order.\nAnswer: z, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19440536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11511857 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 + 1095*f**2 - 2175*f + 1085 = 0 for f.\nAnswer: 1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3164*t - 7*t**2 + 3162*t + 2*t**3 - 2*t**4 + 4*t**2 to j*t**3 + g*t**2 + u*t**4 + o + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25412 + 14949 = -851*d - 6558 - 16906 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 + -5 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*s - 4406 + 2390 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 - 6*f + 1. Let q be m(-5). Suppose 3*k - 142 = -4*o, 2*k + o + q = 7*k. What is the remainder when 124 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-26))\/(13\/(-130)) - (-43)\/(16211\/58)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) 4\/369 (c) 6\/13 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30214153 + -314?\nAnswer: 30213435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**4 - 3*j**3 + 3*j**3)*(4 + 0 - 2) + 564 - 565 + 11*j**4 + 5*j**4 to the form q*j**2 + l*j**3 + v + c*j**4 + y*j and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 432945 divided by -86589\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/20*4\/5 - 3. Which is the fourth smallest value? (a) 0.4 (b) -0.1 (c) t (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7686 divided by 366\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2889, 0, -1, -2863, 2 in descending order.\nAnswer: 2, 0, -1, -2863, -2889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -217955 times 0.1\nAnswer: -21795.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/189 and 19\/8066628?\nAnswer: 56466396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189122 divided by -5.\nAnswer: 189122\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-19)\/323*-17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14 + (-2 - -2) + -2. Find the common denominator of -85\/12 and -86*(0 + (-1)\/c).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + 0.1. Let k = 6.3 + -7.3. Let z = 1.4 - 0.4. What is the closest to z in 1\/4, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (22 - 51 - -25)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + s + 18 = -s, -4*p + 2*s + 22 = 0. Suppose -16 = 4*l, -r + 2*r + p*l = 0. Calculate the least common multiple of 22 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 7\/(21\/9). Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 65*i**4\/4 - i**3\/2 - 7*i**2\/2 - 51*i. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -21118937.\nAnswer: -10559468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208942258?\nAnswer: 2, 7, 23, 648889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.3 + -88. Let b = -1869 + 1865.4. Let z = c - b. What is z rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:59 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*b - 29, -187 + 110 = -4*m - 5*b for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-8))\/((-6)\/8)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8506 and -165.8?\nAnswer: 163.9494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -2*d. Suppose -34 = 4*y + 2, 3*a - 27 = -y. Calculate the lowest common multiple of a and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -7.98. Let c = v - 11. Let g = 291 - 292. What is the nearest to -3 in c, g, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 6*n**2 + 10*n + 6. Let g be -1 - ((-6)\/5)\/(6\/(-15)). Let l be x(g). List the prime factors of l*157\/(-5)*(-5)\/(-2).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5648*q - 614263 = 5635*q. List the prime factors of q.\nAnswer: 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31978 - -2142676\/67. Let o = j - 7699\/536. Find the common denominator of o and 47\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-343))\/((-24)\/42))\/(-22*72\/(-35112))\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 11 = 26. Suppose -x - p = -d*p - 2, -4*x + 5*p = -2. Is (x\/8)\/((-2)\/424) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 64. Let t be q(6). Solve -40 - t = 24*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -629, -1254, -1873, -2480, -3069, -3634?\nAnswer: -4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12.98 (b) -1\/52 (c) 1 (d) -0.03 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77246314 by -1331833.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2542434 and 91\/54676?\nAnswer: 5084868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {p: 9, h: 1, c: 1, x: 5, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1759*n - 1754*n + 21, -2*i + 2*n = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644094 is divided by 1184.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421256651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 + 3*i**2 + 7*i + 13. Let n be t(-7). Let w = -4472 - n. Let m = w + 5591. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (39\/(-13))\/(-2 - 1). Is 3 + (v - 4) - -1685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:33 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 5*l**3 - 12*l**2 - 8*l + 11*l**2.\nAnswer: -5*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/4 + 5*a**3\/6 - 24*a**2 + 1. Let d(s) = s - 1. Determine -5*d(r) - z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -3*h**3\/2 + 199*h**2\/2 + 149*h + 3. Let k(p) be the first derivative of w(p). What is the first derivative of k(o) wrt o?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1165*l - 2552 = 1157*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254629*f**3 - 2 - 253899*f**3 - 3.\nAnswer: 730*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -168575998277124*n**2 + 51934728*n - 4.\nAnswer: -4*(6491841*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 6. Let f(x) = x - 9. Let m(p) = -p + 8. Let g(r) = -2*f(r) - 3*m(r). Let q(t) = -t**3 - t**2 + 14*t - 26. Let b be q(-5). Give b*i(y) + 3*g(y).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*h**2 + 4 + 9*h**2 + 1 - 4 - 2*h**4 + 3*h in the form z*h + u + s*h**3 + p*h**2 + w*h**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - -1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {a: 2, y: 2, x: 2, i: 1, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a3565 + 0?\nAnswer: -6a3565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/(-119))\/(6\/10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/10 - (-232)\/10 is divided by (-2)\/6 - (-22 + 846\/54).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 2*b. Let x(n) = -4*n**2 - 3*n. Let q(s) = -3*j(s) - 2*x(s). Let c(f) = 8*f**2. Determine q(c(d)).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1219*i**2 - 1042*i + 2084. Calculate v(2).\nAnswer: -4876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -l - 2158 + 5134, 11852 = 4*l + 5*p. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 212200698 divided by -1?\nAnswer: -212200698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 16. Suppose y*a - 12 = a. Suppose 2*z - q = -3*q + 212, 0 = 3*q + a. Does 28 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*g - 1337*g - 2527 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (-500)\/(-70) + 2\/(-28)*2. Let 0 + 2\/5*a**3 + 0*a + 4\/5*a**2 + y*a**5 - 16\/5*a**4 = 0. What is a?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**5 - 2*p**2)*(2 - 2 - 2) + (0 + 2*p + 0)*(304 - 176 - 261)*(-3*p**2 + 3*p**2 - 2*p**4).\nAnswer: 530*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 8*f + 10 + 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -23.5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3579, -8132, -12751, -17436, -22187?\n\"Answer: -33*g**2 - 4454*g + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5221*v. Let q(y) = 47*y. What is n(q(d))?\nAnswer: 245387*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 6*p**2 + 16*p + 58. Give z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108, -100, -76, -30, 44, 152, 300?\n\"Answer: z**3 + 2*z**2 - 5*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -531, -796, -1061, -1326?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/28*(-195)\/25. Which is bigger: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = j + 2*x, -5*j - 4*x - 28 = -3*x. Let p(t) = -t**3 + 2*t**2 - 2*t + 2. Let o be p(1). Let u be (-1 - -3)*o\/1. Put -3, j, u in decreasing order.\nAnswer: u, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2. Let v be j(1). Let t(p) = p**2 + 6*p + 8. Let g be t(v). Let c = 7 - g. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64545, 258728, 582365, 1035456, 1618001, 2330000?\nAnswer: 3171453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-3)*(-76)\/95*30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k**3 - 72*k**3 - 7*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*g - 14, 19 = 4*g + b - 4*b. Suppose 2*h + g*c = -c + 90, 0 = -2*c + 8. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggaggggaga. What is prob of sequence aagg?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-36))\/((-2)\/154) and -19\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 2*x - 1. Let u = -21 - -7. Let v = -10 - u. Is r(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -14*h + 15*h - 4*m, 0 = -m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 69*g = 41*g - 126280. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/7)\/g**(7\/3)*(((g\/(g\/g**(2\/9)))\/g)\/g)\/(g*(g*g*((g*g\/(g**7*g))\/g*g)\/g*g)\/g) assuming g is positive.\nAnswer: g**(-43\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.00242 - 77.\nAnswer: -116.00242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 953399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9000 - 8990. Let q = -8.1 + 8.3. What is the third smallest value in h, -2, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*u + 2*u - 3*t, 0 = u - 5*t - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10481 - -68122. What is the ten thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*v + 10*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s\/(s*(s*s\/s**(22\/5))\/s))\/s))\/((s*s**(3\/5))\/s))\/((s*s\/(s*s**(-13)*s)*s*s)\/s**(3\/2)) assuming s is positive.\nAnswer: s**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + (-4884)\/(-324))\/(1\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494597 and 1079.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 11*b**2 + 6*b - 13. What is the remainder when 107 is divided by t(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100111001100010 (base 2) to base 6\nAnswer: 1044334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 50*b**5\/7 - 1475*b**4\/14 - 180*b**3 - 772*b**2\/7 - 208*b\/7 + 560. Factor d(y).\nAnswer: 2*(y - 13)*(5*y + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 948 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, k: 4, z: 3, f: 2, v: 5}. Give prob of sequence zk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4896 and 0.06?\nAnswer: 4896.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d9 + -1d?\nAnswer: -1f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4\/3 - 2944*y**3\/3 + 2924*y**2\/3 + 11776*y\/3 - 3920 = 0 for y.\nAnswer: -2, 1, 2, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - -1) - (17 - 19)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 1 - 1)*(-6*f - 2*f - 9*f) + 1495 + 55*f**3 - 1495.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -102. Let p be (4\/(-7))\/((-16)\/v). Calculate the highest common factor of 18 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1072*v**2. Let j(x) = -2*x**2. What is a(j(i))?\nAnswer: -4288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4419 - 668*v - 5102 + 670*v)*(-3*v**2 + v - v + (-v + v - 2*v)*(-6*v + 0*v + 4*v)) to l*v**2 + x + u*v + k*v**3 and give l.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2. Let f(h) = 1967*h**2 + 1906*h**2 + 1939*h**2 - 7832*h**2 + 1889*h**2. What is n(f(y))?\nAnswer: 102966*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((77\/(-21))\/11)\/(1\/12). Let r be (y\/16)\/(3\/(-12)). What is the units digit of (r - 4)\/6 - 10\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/3 - 136*i\/3 + 124.\nAnswer: 4*(i - 31)*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -347 - -411. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6082 - 3616. Suppose -7*a = -10*a - 2*z + 1847, 4*a = -z + n. List the prime factors of a.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.727 - 6.727. What is the third biggest value in u, -22, 0.3, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 38. What is the nearest to 0 in -10, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/45*(-2)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2064016 greater than or equal to -2064017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (25 - 2) - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-54)\/(-10). Let l = t + -13. Let y(k) = -k**2 - 9*k - 5. Let j be y(l). Solve -b = 2*b, 3*g + j*b = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let f(u) = u**2 + u + 4. Let x be f(k). What is the second derivative of 2*b**2 + b**2 + 2*b - x*b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, u: 2, s: 1}. Give prob of sequence hu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12634\/5 - -2527. Which is the closest to -0.08? (a) -2 (b) -4 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36 and (-12)\/54 + 91660\/400320?\nAnswer: 20016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, w: 2, s: 4}. What is prob of sequence nnwn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300.9 + 301. Suppose 3*u + o - 57 = -177, 4*u + 160 = o. Let l = u - -202\/5. What is the closest to w in 3\/5, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 10)*(35*d - 107*d + 22*d - 95*d).\nAnswer: -1015*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 987 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 618 and 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001425156 rounded to six decimal places?\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 3. Let o(d) = -d + 1. Let v(w) = -2*w - 6. Let b be v(-4). Determine b*o(l) + h(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l. Suppose -j - j = -4*v + 122, l = -3*v - 3*j + 87. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from moomommmmmmomommmo.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 112244 (base 5) in base 12?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - p**5 - p**2 + (39*p**2 - 5*p**4 - 47*p**2 + 15*p**4)*(-p - 2*p + 2*p).\nAnswer: -11*p**5 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + y = 56526 + 45459, -2*r + y - 40797 = 0. Let z = r + 367243\/18. Find the common denominator of z and -59\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/9*(-288)\/13. Let d = r - 3761\/104. What is the common denominator of d and 1*(-4)\/(-32)*-71?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -840, -1258, -1676, -2094?\nAnswer: -2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + 2*p - 4*p)*(-p - 3*p + 2*p) + 3*p**2 - 3*p**2 - 4*p**2 - 5*p - 2*p**2 + 5*p as f*p**2 + w + q*p and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {j: 1, z: 2, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (8 - (-7874 + -6)) + 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*o**3 + 135*o**2 + 75*o + 5.\nAnswer: 5*(o + 1)**2*(13*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 26*q + 29*q - 49*q + 3 - q**2. Let f be h(6). Suppose -16 = -4*v + v + 4*g, 12 = 2*v - f*g. Solve v*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1225*k**2. Let c(z) = -8*z. Determine c(f(i)).\nAnswer: -9800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 22598*i**2 - 15*i - 14. Give f(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/20)\/((-2)\/(-30)). Let j(n) = -n - 2. Let r be j(d). Suppose 9*v - 4*v = 0, -r*v = -4*s + 36. What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/370?\nAnswer: -1\/370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -43\/3*v**3 - 151 + 0*v + 143\/2*v**2. What is the second derivative of i(m) wrt m?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let b = -1 + 4. Suppose -i = -b*i. Are l and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9.3 (b) -1\/5 (c) 5\/6 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14652 by 3663.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -4 + 2*q**3 + 0*q**2 - 6*q - 1\/4*q**4. Let b be (-56)\/(-10) + (-8)\/(-20). Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(5*m**3 + 0*m**2 + 1348*m - 3*m**2 - 1345*m).\nAnswer: 10*m**3 - 6*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*1\/((-10)\/(-4)). Suppose 2*z = -a*z - 8*z. Solve -5*w + 1 = d, z = 3*w - d - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -579, -884, -1193, -1506, -1823?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698865183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20976396?\nAnswer: 2, 3, 7, 29, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 - -896.\nAnswer: 891.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2790 - -3375. Calculate the greatest common factor of 45 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 9*p - 5 = 4*p, -9 = 3*x + 3*p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**3 + 24*a**2 - 9*a + 6. Let s(k) = k**3 - k**2 - k - 1. Let g(p) = -j(p) - 6*s(p). Factor g(d).\nAnswer: 3*d*(d - 5)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434214?\nAnswer: 2, 3, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -935, -3753, -8435, -14969, -23343?\n\"Answer: 2*a**3 - 944*a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7320467356.\nAnswer: 2, 1830116839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3407 * 0.080367.\nAnswer: -273.810369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/45 - 50\/(-18). Let s(p) = p**3 + p**2 - 15*p + 36. What is the remainder when s(4) is divided by 3\/(27\/60)*a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 2. Let h = 6 + -4. Let k = h - 0. Let m(q) = -2*q**2 + q**k + 2*q**2 + 1. What is -4*m(a) - 3*u(a)?\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0227 * 2.6\nAnswer: 0.05902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 19. Suppose -5*h = q - 261. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtd when three letters picked without replacement from {s: 1, b: 2, d: 8, t: 2}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-13 - -3) - ((-35 - 2) + -3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 260 or 12468?\nAnswer: 12468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 600 + -483. Suppose -124*i + 14 = -h*i. Solve 3*f - 6 = y - i*f, 5*y + 4*f = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 - -9.363?\nAnswer: -110.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000136028815 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:58 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.2, -0.173, -8, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201.05 + 194.05. Sort 0.1, -569\/5, p in decreasing order.\nAnswer: 0.1, p, -569\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 694 or 695?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1792 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 3*p + 266. What is the remainder when 447 is divided by q(13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 429.03 - 4.03. Let i = 425.1 - t. Which is the nearest to i? (a) -1\/2 (b) 1 (c) -2\/7 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by -3 - -3*575\/15.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v = -20. Suppose 2*h - 28 = v*o, 3*h = -3*o + 2*o + 7. Find x such that 2*x**3 - x - 3*x - 2*x + h - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -2*y, 2*y = -5*a - 2*y + 40. Let f(w) = -2*w**3 - w**2 - w + 1. Let t be f(1). Is (-107)\/t + a\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1221124\/289289 + 144\/3179. Let r = j - -17176\/2457. Calculate the common denominator of 55\/9 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(546\/(-24))\/(-91)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y - 1597. Let n(l) = -8*l + 799. Give 5*n(k) + 3*q(k).\nAnswer: -k - 796","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)*i)\/i**7)**(1\/53) assuming i is positive.\nAnswer: i**(-20\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 1\/27, -117128 in decreasing order.\nAnswer: 2\/15, 1\/27, -117128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8*-2*-2. Let k be (-3 - x)\/(-2 + 0). Solve a - k*p = -10, 5*p - 26 = 5*a + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(6*sqrt(512)) - -2*((2*sqrt(2) - sqrt(2))*1)**2)*-6.\nAnswer: -24 - sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 7*l - 15 = 0. Let h be 12\/6 - (l + 2). What is the first derivative of -7 + 29*g**h - 17*g**3 - 18*g**3 wrt g?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-14)\/(-4)*48\/7*(-20328)\/(-11616).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c = -1259 + 335 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307620894.\nAnswer: 2, 3, 14957, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -7\/16 (c) -6 (d) 8 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/((-5)\/(-10)). Let l = -1 - n. Solve -a = -4*v - 9, -5*v + l*a + 2*a = 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -218 in descending order.\nAnswer: 5, -4, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 41 - 43. Let j = -12 - b. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(0 + 0). Suppose d - 4 = -m*d. Suppose -d*c - 5 = -13, 446 = 4*j - 3*c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 - (-58 - -62) - (9 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/4303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(8\/384). Let c be (-3)\/(-12)*(x - 4). Calculate the greatest common factor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27522.53084 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -21\/2*c**2 + 53\/6*c**3 - 125*c + 0. Differentiate b(f) with respect to f.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*w + 34*w - 12*w - 61600. What is the lowest common multiple of 300 and w?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006486 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456 and 216.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 245\/25 - (-1)\/((-5)\/(-1)). Solve v = -2*j - 0*h - 4*h, 0 = -3*j - 3*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -5. Suppose 5*t = -1 + 6. Is 6 a factor of (-2)\/(h\/24 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4)*z**(-3\/4))\/((z**0*z)\/z**(1\/3)))\/((z**(-2\/3))**(19\/2)\/(z**1\/z)**37) assuming z is positive.\nAnswer: z**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10269 by -1.\nAnswer: -10269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 168*g**2 + 756*g + 9601. Calculate y(163).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7118.64 millimeters in kilometers?\nAnswer: 0.00711864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 2*q + 3*q)*(-4814 + 2573 + 3680) in the form s*q + y and give s.\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -1121, -1612, -2097, -2582, -3073, -3576, -4097?\nAnswer: -4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:03 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181991 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000774693 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/32)\/((-114)\/(-171)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 3. Suppose -j = -7 - 8. Let h = g + j. Solve 2*l + h + 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Suppose 29*i + 10 = 30*i. Suppose -17*r = -22*r + i. Let c(k) = -k - 1. Determine r*o(j) + 2*c(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {z: 3, x: 2, w: 2, s: 1, j: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m = -9691852. Let u = 7087166537\/2925 + m. Let a = u + 1\/225. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 5 - (-257 - -247)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*o**3 - 850*j*o**2 - 238*j + 4*o**3 - 4 wrt o?\nAnswer: 6*j*o**2 - 1700*j*o + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(576))\/sqrt(2).\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 132*v - 3513. Let r be c(95). Find a such that 8\/19*a + 8\/19 + 2\/19*a**r = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(90))\/sqrt(3))\/(-4*sqrt(726) + sqrt(6)))**2.\nAnswer: 5\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452707 is divided by 6261.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (29\/145*(-30)\/(-10))\/((126\/(-20))\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3657130.5 * -2\nAnswer: -7314261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 351*q - 172*q - 4 + 3*q**2 - 181*q as o + j*q**2 + w*q and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/56 + (-2)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3553\/10821 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h. Let n(j) = 3321 - 6*j**2 + 6*j - 3321. Determine l(n(g)).\nAnswer: -24*g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqxixqiix. What is prob of sequence qixi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 112, -1\/4, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 11*r - 13*r + 6)*((-2 + 2 - 2)*(-1 + 1 + 2) + 2 - 15 + 59).\nAnswer: -84*r - 882","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-3)\/(30\/8). Suppose -y + a*c + 25 = 0, 2*c - c = -y + 5. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuuuiuubuuu. Give prob of sequence uibu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 1227. Let c = 974.262 - r. Round c to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59.2 (b) 3\/5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 41004.\nAnswer: -41004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(72)*-1.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - -1.0584358065674?\nAnswer: 1.0084358065674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(288)\/(1*sqrt(12)) - sqrt(24))\/sqrt(2))\/(sqrt(24)\/(sqrt(24)\/(sqrt(4) + (sqrt(4) - sqrt(100)) + sqrt(4) + sqrt(4)))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(880)\/sqrt(11)*5 + 0 + 3 + sqrt(80).\nAnswer: 3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8252877779 - 7138740564746\/865. Let o = p - -7432\/5. Find the common denominator of 17\/4 and o.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((-5)\/(-10)) + 1211978. Suppose -5*g + 10*g + 1514980 = -4*f, h = -4*g - 5*f. What is g rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 + 124. Let r(m) = -m**2 + 5*m + 2. Let z be r(3). Let c = i - z. Sort -3, -5, c in ascending order.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16044684\/5 or 3208936?\nAnswer: 3208936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 271, 5, -0.3 in ascending order.\nAnswer: -5, -0.3, 5, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-5) + 4\/20 + (-288)\/(-3). Let i(n) = n**3 - 10*n**2 + 8*n + 5. Let l be i(6). Let k = l + q. Solve -j - 2*j + k = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/420 - v**4\/56 - v**3\/21 - 3*v**2 - 38. Factor c(n).\nAnswer: -(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3)*(-2*c - 2*c + 5*c)*(2 - 4 - 1)*(-1 - 7*c + 1).\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let s = 2.771 - 2.871. Which is the nearest to s? (a) -0.02 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 703982144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20090 and 350.\nAnswer: 100450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 922076\/3 + -307342. Solve 0 + 128\/3*q + 192*q**2 + 488\/3*q**3 - 120*q**4 + k*q**5 = 0 for q.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214909959 and 44.\nAnswer: 859639836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + o + 8, -6*t + 3*o - 133 = -112 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, 3, -5\/7, -6, -50\/17?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12c8 + 779?\nAnswer: 1a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = -2. Suppose 2*g = o*g - 30. Let v(z) = 179*z - 5728. Let x be v(32). Solve -5*w - g + x = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 l when three letters picked without replacement from lzzrlq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x)**(-5\/9)\/((x\/(x*x**(-2\/25)))\/x*x**8) assuming x is positive.\nAnswer: x**(-781\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-8) + (-15)\/20. Suppose -2*g - 5*s = -10, 2*s - 5 + 1 = 3*g. Suppose g = 2*q - 14 + i. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Solve j*l = 1 + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3575321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5\/4)*(i**(3\/5)*i*i)\/i)**3)**(-13) assuming i is positive.\nAnswer: i**(-1053\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 5 + 4)*(-2*r**2 + 0*r**2 + r**2) - r**2 + 2*r**2 - 3*r**2)*(2 - 3 - 1) in the form v*r**2 + j + h*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000133897893 to 6 dps.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 37*r**2 - 27*r + 28. Let f be b(13). Calculate the greatest common divisor of f and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*3)\/(9\/6). Find the second derivative of -4*k + 3*k + 2*k**h - 4*k**4 - k wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 8*y**2 + 7*y + 5. Let n = 9 - 16. Let h be d(n). Suppose -p - 3 = 0, 4*p = h*m - 104 - 73. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1931 - 1930.991556. What is n rounded to 4 dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 10*m - 2*m + m to p + d*m and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**3 + 38*b**2 + 24*b + 28. Let v(m) = -14*m**3 - 110*m**2 - 71*m - 85. Let s(y) = -6*v(y) - 17*w(y). What is s(15)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let k be i(1). Let o(n) = n + 1. Let m(d) = -2*d**2 - d - 1. Let u(h) = k*m(h) - o(h). Let w(j) = -11*j**2. Give u(w(c)).\nAnswer: 242*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 8*h = 12*h - 38, -4*x + 5 = h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 6. Suppose -19 + u = -3*n. What is the third derivative of -a**3 - 5 + n + a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21140484 rounded to the nearest 10000?\nAnswer: 21140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((15\/(-9))\/(-5))\/(7\/(-42)). Let p be 124 + (4\/6)\/(o\/(-3)). Suppose -t + p = 5*x + 41, 2*t = 4*x + 182. What are the prime factors of t?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 6*f - 6*f + 2 - 2*f**3 as w*f**2 + v*f**3 + z + y*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/6 + 2*f**3\/3 - f**2\/2 + 10*f. Let l(o) = -2*o**2 - 3*o + 1. Calculate -2*k(i) - 3*l(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387*t + 1505*t + 2006 = 0 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 3. Let u(c) = 3*c**3 + 3*c**2 + 3. Let m(n) = -8*n**3 - 8*n**2 - 8. Let y(q) = 4*m(q) + 11*u(q). Calculate -2*t(b) - 4*y(b).\nAnswer: -4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4391?\nAnswer: 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (-18 + (-11 - -52)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2 - 2*u**2 + 11*u + 4*u**2 + 5 + 0 - 8*u - 5*u**3. Suppose -53*s + 376 = -6*s. Let i(m) = 14*m**3 - 6*m**2 - 9*m - 8. Calculate s*x(w) + 3*i(w).\nAnswer: 2*w**3 - 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*s + 5*p, 34*s - 3*p = 33*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2 + 25 = -5*q, 3 = -q - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/4 - 502*p**3\/3 - 4*p**2 - 6*p + 61. What is the second derivative of u(w) wrt w?\nAnswer: 6*w - 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.73, -1, -0.3?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l, -4*w + 3 - 1 = 2*l. Let m be 7 - (6 + (w - 6)). Solve m*y = y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8854, -8769, -8614, -8377, -8046?\n\"Answer: 2*k**3 + 23*k**2 + 2*k - 8881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -22, -19, -14, -7?\n\"Answer: m**2 - 2*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2313434, -2313438, -2313444, -2313452, -2313462, -2313474?\nAnswer: -2313488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-18))\/4*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -846.863 - -9.463. Let n = 693 + o. Let t = n - -113. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d34 (base 14) to base 5.\nAnswer: -1010224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 8157425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -515661, -1032017, -1548373?\n\"Answer: -516356*k + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/27 or 12697\/15?\nAnswer: 12697\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gngggn. What is prob of sequence ngn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2337934 and -67?\nAnswer: 156641578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 630944.5 nanometers?\nAnswer: 0.06309445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*((6*(1 + sqrt(76) + sqrt(76)))**2 + sqrt(76))*3 - 6*(-4 + (sqrt(76) + 1)**2)*-1).\nAnswer: -98380 - 2586*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*s + 348 - 194 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(60)\/sqrt(2))\/sqrt(6) + (sqrt(40)\/sqrt(2))**2 + ((sqrt(110)*-3)\/sqrt(11))\/sqrt(2).\nAnswer: -sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -5, -2, -4487 in decreasing order.\nAnswer: -2, -5, -95, -4487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.536275 rounded to 2 dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 2*o - 5, -2*h = -15*o + 12*o - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2847.72945 + 2841.73. Let z = u + 6. Round z to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374079979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 655228328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*w + 1691, -2*o + 2*w + 1354 = 2*o. Suppose -o = -4*p - k, 0*k - 3*k = -5*p + 400. Calculate the remainder when p is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - 33 + 8*w)*(8*w - 34*w - 32*w) - 4 - w**2 + 3*w**2 + 3 to the form s*w**2 + t*w + r and give s.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k, 2*f + 2*k - 4*k = 46. Suppose -4*q - 5*y = -66, -5*y + 100 - 20 = 5*q. Calculate the remainder when f is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686870520 divided by 140?\nAnswer: 4906218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, 11, 14\/2543, -3\/25?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpqqf. What is prob of sequence qf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20028*k + 20017*k - 40039*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r)**5\/((r*r*r**9)\/(r\/(r\/(r\/(((r**(-8\/3)\/r)\/r)\/r))))) assuming r is positive.\nAnswer: r**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(110)\/sqrt(360))**2 + 5 - (3*(sqrt(77) + 6*sqrt(77)))\/sqrt(7)).\nAnswer: -21*sqrt(11) + 371\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) -5\/8 (b) -0.5 (c) -1 (d) -46.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 6 + 6*i**2 + 0*i - 11\/8*i**4 - 1\/3*i**3. Let g(u) = -2*u**2. Determine l(g(b)).\nAnswer: 66*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:30 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*t - 205*t - 946 + 312 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 13*g - 6. Suppose 2*b = c - 1, -4*b + 0*b + g*c - 3 = 0. Is 555 - (5 + (-1 - b)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664903384 to the power of 1\/2, to the nearest integer?\nAnswer: 68300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -54892?\nAnswer: 21956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 84 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 8*z - 9*z to h + n*z and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/3))**(7\/3)\/(g*g**(-2)\/g*g*g**10))**(-2\/15))**(-3\/10) assuming g is positive.\nAnswer: g**(-88\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 830?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10218 divided by -6.\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*z = -18, 6*z + 22 = 4*w + 3*z. Suppose 5*c = -4*v + 200, -w*c = v - 113 - 47. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 6. Let g be s(-5). Let a(j) = -j**3 - 2*j**2 + j. What is a(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19116)\/162)\/(22\/(-55)*-5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose 5*a + 3*z = 7 + 10, 0 = -3*a + 3*z + 15. Suppose c + y*f = 21, 0*c = 2*c + a*f - 36. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 31. Let x = y + 36. Let n = x - 14. Solve 14 = 2*a + 2*q, 4*a = 4*q - 2 - n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2393, -4126, -5849, -7556, -9241, -10898?\n\"Answer: q**3 - q**2 - 1737*q - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 107*o**3\/6 - 13*o**2\/2 - 44*o. What is the tens digit of r(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 13*r - 596. Suppose -4*v - 2*y = -1296, -4*v + 4*y + 700 + r = 0. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 12*s**2 + 7*s - 5. Let p be j(-4). Let q(o) = p*o - 47*o + 17 - 5. List the prime factors of q(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 40\/(-21) - 60\/630. Suppose -13*h + 89 + 171 = k. Which is smaller: h or 27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -1, -303.92, 1\/6, 4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -142, -562, -1260, -2236, -3490?\n\"Answer: -139*v**2 - 3*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chchhhchjjch. What is prob of picking 2 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Solve 5*u = 2*c - 22, -5*u = -5*c - s*u + 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 1366 - 112 = 0. What is the remainder when 3423 is divided by d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1867, -3655, -5443, -7231, -9019?\n\"Answer: -1788*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*o + 6, 0*m - 2*o + 10 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 5 + 1 - 15*u - 4 to b*u + w and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - -79?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(3)*-3 - sqrt(3)) + -3 + (1*sqrt(12) - (sqrt(33)*-2)\/sqrt(11))**2.\nAnswer: 24*sqrt(3) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + 1 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 882 = 5*b + 262, -3*s = 2*b - 608. Suppose -3*m + 7*m = s. Suppose 6*h - 68 = 2*h. What is the remainder when m is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -38*j - 68. Does 33 divide a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131442 (base 5) in base 7?\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97130499.391462 - 0.6.\nAnswer: -97130499.991462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10791 divided by -981\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9191509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1518 and 149347671.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -485 (base 15) to base 7.\nAnswer: -2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/40 + x**3\/2 - x. Let f(b) be the second derivative of u(b). Let g(n) = n. Determine f(g(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -38*s + 38*s + 1356*s**2 - 562 + 562. Let r(p) = 7*p**2. Calculate r(g(v)).\nAnswer: 12871152*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Let j = g + 3. What is the closest to j in -0.2, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 5*v)*(242 - 196 + 944).\nAnswer: 4950*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:02 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1033580 by 2.\nAnswer: -516790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(6\/(2*-1791)). Suppose -m = -o - 4*o - 2*g, 0 = 3*o - 5*g - 383. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611107021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 3}. What is prob of sequence yf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -625*j + 86907. Determine n(139).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1479 by 493.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -428, -427, -426, -425, -424?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x + 17. Let i(v) = -2*v**2 - 18*v + 35. Let y(d) = -2*i(d) + 5*m(d). Give y(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/12)\/((-249200)\/3200).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.6 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.551789 decades to months.\nAnswer: 186.21468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k + 5\/6*k**3 + 1\/40*k**6 + 0*k**5 + 0*k**4 + 0 - 2*k**2. Differentiate i(v) wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/211 or 1?\nAnswer: -7\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + c, 5*c - 5 = -33*g + 38*g. Let s(a) be the first derivative of 20\/3*a**3 + 0*a + 0*a**g - 8. Let p(x) = x**2. Determine p(s(t)).\nAnswer: 400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m*m**(-1\/3)*m*m*m)**47)**(-5) assuming m is positive.\nAnswer: m**(-4700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56850 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3*z**3 + 7092*u**3 - 4*u**2 - 4507*u*z**3 - 11*z**3 - 8 wrt u.\nAnswer: -6*u*z**3 + 42552*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbba when four letters picked without replacement from {a: 2, q: 3, z: 1, b: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**5\/15 + 41*j**3\/3 + j**2 - 35. Let x(i) be the third derivative of n(i). Let r(s) = 16*s. Calculate r(x(g)).\nAnswer: -128*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a factor of 168520719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*r + 6 = 0. Let t(k) = 4*k**2 - 16*k - 9. Let n(p) = p**2 - 4*p - 2. Let z(m) = 9*n(m) - 2*t(m). Let d be z(4). Solve d = -3*o - r + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1010 = 5*q - h, 3*q = -h + 595. Is q\/6 + (-3)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - y = 103, 2 = 4*y - 2*y. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -232*a**3*q**3 + 7467*a**3*q**2 + 1520346*a*q**3 - q**3 wrt a?\nAnswer: -1392*a*q**3 + 44802*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-96)\/(-50)*20\/(-56). Let l = 286\/315 + a. What is the biggest value in l, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4\/3)*n*n*((n\/((n\/n**(-11))\/n))\/n*n)\/n)**(6\/7) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196.839 - -0.161. Let t = o + -196.99999004. What is t rounded to 7 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1880 and 32.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*z**2 + 1660*z - 660.\nAnswer: -5*(z - 66)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -77.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 78354216.\nAnswer: 1\/26118072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-143)\/(-11)))\/(8\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 2765490.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35884?\nAnswer: 2, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 15. Determine b(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.051 + 836765\nAnswer: 836764.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*k = 12, 49*k = -4*h + 51*k + 12. Let v be (-80)\/(-25) + 1\/(-5). Solve -w - h = -v*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/9 + 46*q**2\/9 + 2*q\/9 - 46\/9 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.173 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 19 + 17 + 6*x to the form l*x + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11*10\/220*-4. Solve -a*r - 6 = -8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 452*s**3 + 160*s**3 + 4*s**2.\nAnswer: -292*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87.6 + -88. Which is the closest to -0.01? (a) 0.5 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/96 in -2, 0.5, 3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*g = 39, -u - 3*g - 78 = -53 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -164, -231, -296, -359?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-9))\/((-1)\/(-3)). Let y = t + 1. What is the units digit of ((-4)\/12)\/(y\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18629.83453 + 18630. Round w to 3 dps.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422649783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786*t - 6 = 1787*t + 2*k, -5*t + 4*k = 44 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-262)\/((-6)\/(-48)*-4). Suppose -4*t - 5*p + x = -p, 5*p = 5*t - 655. What are the prime factors of t?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let m(y) = -17073296*y. Give m(d(r)).\nAnswer: -34146592*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1269 + -1274. Let f be -5 + (-1 + 0)\/1. Let w = f - n. Sort -2, -2\/7, w in decreasing order.\nAnswer: -2\/7, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-30))\/(1\/(-2))*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**37*x**(-1\/22) assuming x is positive.\nAnswer: x**(813\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 1. Let m be f(2). Suppose 3*o + m = 7. Let r(b) = -3*b + 4 + 6*b**2 - 5*b**o - 4*b. Determine r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 6, 14, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1133, 2265, 3435, 4655, 5937, 7293, 8735?\n\"Answer: 2*a**3 + 7*a**2 + 1097*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13929.\nAnswer: 3, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -422 (b) -0.15 (c) 0.4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.061? (a) -2\/13 (b) 2\/15 (c) 3 (d) 3.224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 65\/(-65)*(-2 - (-1 - -4)). Solve 3*m - 3*h - 15 = 0, 0 = -h + o*h + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/2))*l)**(-2\/17)*(l\/(l*l*(l*l\/(l**6\/l*l))\/l*l))\/l**(-1\/5)*(l**1)**(-1\/4)*l**0*(l**(-3)*l)\/l assuming l is positive.\nAnswer: l**(-77\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(7\/5)\/((f\/(f\/f**(-4))*f)\/f*f*f**(7\/3)) assuming f is positive.\nAnswer: f**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**8\/1512 + 4*d**7\/945 + d**6\/108 + d**5\/135 + 7*d**2. Factor b(i).\nAnswer: 2*i**2*(i + 1)**2*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1391 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34071906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(5\/(-60)) - 2. What is the greatest common factor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let u(i) = i**2 - 3*i - 967. Let v(g) = -5*n(g) - u(g). Let j = -2469 - -2469. Is v(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*h**3 - 1196710 + 2393421 - 1196711.\nAnswer: -170*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let q(u) = -9*u**2 - 68*u - 3. Determine m(q(p)).\nAnswer: 18*p**2 + 136*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(136)\/sqrt(8) - sqrt(17)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378051 divided by 3.\nAnswer: 126017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1092*r**4 - 78*r**3 + 22*r**2 - 2814223*r + 2 wrt r.\nAnswer: 13104*r**2 - 468*r + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmo. Give prob of picking 1 m and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 20*y - 34920. What are the prime factors of y?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 15. Let r be d(-12). Suppose 4*c - 245 = r*c. Let l be 140\/c*(-14)\/4. Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.508559519 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*v - 19, -3*v + 5 + 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2784145 is divided by 75244.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:03 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 - 2*r**2 + 0*r**2)*(106*r + 121*r - 167*r) + r**3 - 3*r**3 + 3*r**3 as z + q*r**2 + d*r**3 + j*r and give d.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2105789*x**3 - 829*x + 43.\nAnswer: 12634734*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 - (-62 - -1 - (-671 - -694)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2599770848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 395562688 and 2?\nAnswer: 395562688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 - 8*c + 1\/4*c**5 + 1\/6*c**6 - 5\/12*c**4 + 0*c**2 - 5\/6*c**3. Solve z(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))**(-20)*(z*((z*z**6*z)\/z)\/z)\/(z*z**0*z))**(-6) assuming z is positive.\nAnswer: z**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a day?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 26902687550 to the nearest one million.\nAnswer: 26903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -386 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 485, 478, 473, 470?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8*a + 5*m - 16 = -6, 0 = -5*a + 3*m - 39 + 31 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2807 = -2*h, -3*w + 3*h = -2422 - 5993. Let x = w - 1968. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2035 and 2923?\nAnswer: 160765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 + -14 - 2) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -7*t + 2*t - 35, -6*t + t - 6*c = 55*c - 77 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 90 = 2*x, 2*p + 3*x + 6 = 96. Is 1\/(-3)*1 - (-34620)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/6)*i**(-2))**(-2\/65)\/(i\/(i\/(i**(-1\/7)*i))*i**(-3\/11)*i**8*i*((i\/(i\/(i*i*i**(-7))))\/i*i)\/i) assuming i is positive.\nAnswer: i**(-10687\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 4*f)*(0*f**2 - f**2 + 3*f**2) + 341 - 341 + 15*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353*f**2*x**3 - 3*f**2*x**2 + 3929*f**2 - 4*f*x**6 wrt x.\nAnswer: -2118*f**2 - 480*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/238410 and 63\/8.\nAnswer: 953640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178371 - 178354.99944. Let w = 16 - o. What is w rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4*w - 5. Let h(y) = -2*y**2 + 5*y + 6. Let d = 54 - 50. Calculate d*h(x) + 5*u(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 90642070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 0.2 (c) 2 (d) -4\/5 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) 0.2 (c) -90 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -5937?\nAnswer: 592b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 6*x - y - 10, -x - 25 = 4*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1000001100010?\nAnswer: 1000001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 + 4*d**2 - 3*d - 4. Suppose -8 = -v - 2. Suppose v + 14 = 5*t. Let j(l) = -7*l**3 - 5*l**2 + 4*l + 5. What is t*j(h) + 5*g(h)?\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 39*y**2 - 22*y - 645. Calculate k(38).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4\/2 - 155*x**3 + 6795*x**2\/2 - 16200*x.\nAnswer: -5*x*(x - 9)**2*(x + 80)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 30 = 5*p, -2*p = -4*u + 35 + 41. Solve -8*g + 12 = u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*a + 1033 + 1253 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**5 + 2*o**5 + 3*o**5)*(0 + 2 - 1) + 29 - 29 - 27*o**5.\nAnswer: -25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*q**2 - 7*q**2 + q**3 + 15*q**2)*(-2*q + 0*q - q)*(5 + 6 + 6) to v*q + u*q**4 + h + g*q**3 + t*q**2 and give g.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001101248 to 5 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let t(y) = -120*y. Give h(t(m)).\nAnswer: -14400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 0*y - 4*y + 0 - y + 0 + (0 + 0 - 2*y)*(-4 - 1 + 3) + 2*y - 7*y + 3*y - 2*y + 4 - 4 + (2 - 3 - 3)*(3*y - 8*y - 2*y) in the form u*y + x and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 36*i**2 - 12*i - 12. Let f(z) = z**2 - z - 1. Suppose 3*u + 4*l = -53 + 89, -3*l - 60 = -5*u. Give u*f(k) - j(k).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9176*c - 9148. What is y(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n, -42*n = 2*a - 39*n + 4. Let r(p) = -14*p - 4. Let x(w) = -43*w - 13. Give a*r(q) - 2*x(q).\nAnswer: -12*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.182 and 1.9.\nAnswer: 0.3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, -1, 8, -5, 19 in decreasing order.\nAnswer: 19, 8, 4, -1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 404191434 to the power of 1\/2, to the nearest integer?\nAnswer: 20105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 973218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105, 139, 197, 285, 409?\n\"Answer: y**3 + 6*y**2 + 9*y + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/7, -0.7, -4, 2\/45?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 8. What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/12)\/(3\/9). Let r = z - -45. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217467 and 2847?\nAnswer: 2827071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-6))\/5)\/(1120\/(-720)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.02 (b) -5 (c) 108 (d) -651 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 90*y + 1965. Give z(36).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = -4*o + 10, 3*o - 3 = 3*c. Suppose -c = -n + 4. Let f(s) = 780001*s - 5. Let k be f(n). Round k to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uffzfufaflfuu. What is prob of picking 2 f, 1 a, and 1 z?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 647, 94, 3 in descending order.\nAnswer: 647, 94, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 1 - 1 - 6*c**2 - 10*c**3 - 9 in the form x*c + f + b*c**3 + q*c**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 5*w**2 - 2*w - 5. Let b = 11 - 17. Let y be q(b). Is (y\/(-2))\/(13\/26) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20*(-94)\/148 + 2\/10.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8) + (-436)\/(-16). Calculate the highest common factor of 182 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 14. Let o be p(6). Solve s + 3*s = -o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94634131?\nAnswer: 4273, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*o**3 - 14374*o**2 + 9*o + 1386585?\nAnswer: 810*o - 28748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7963.2 and -1387.\nAnswer: -11044958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*j**3 + 6\/11 - 2\/11*j - 6\/11*j**2 = 0. What is j?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12233\/5372544 + 1\/6528. Let w be ((-11510)\/(-2469))\/2 + 2. Let r = o + w. Calculate the common denominator of r and 149\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001121002001 (base 3) to base 7\nAnswer: -12205222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -603? (a) 1\/4 (b) -485 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let v be -4*((-16)\/(-4))\/8. Let o be 2*3 - (0 - v). Let m(f) = 10*f**2 + 4 - 21*f**2 - o. What is m(s(z))?\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 28440681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**4 + 149*l**2 - 213*l**2 + 168*l**2 wrt l?\nAnswer: -264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**2\/2 - 11*q + 4. Let k be o(11). Suppose 2*p = -k*p + 2*f + 52, -f - 53 = -2*p. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(10\/(-9)*96\/800).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1222 + 1819. Suppose -n = -5*m - 552, n + 44 - b = 4*m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*z + o - 15 = 0, -3*z = 4*o - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29625, -59096, -88567, -118038, -147509, -176980?\n\"Answer: -29471*j - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-3))\/((-63)\/(-216)) and -87\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1361382 and 85\/990096?\nAnswer: 10891056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, j: 1, c: 1, m: 1}. What is prob of sequence cm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*1*14\/14. Suppose -l*m = -m - 12. Differentiate 4 - m*i**2 + 0 + 1 with respect to i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2256536, 9026143, 20308820, 36104561, 56413360, 81235211?\nAnswer: 110570108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-31357.\nAnswer: 282213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2241463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43411 or -43425?\nAnswer: -43411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 c when four letters picked without replacement from aoooooaocaaaaac.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from {f: 1, w: 6, g: 7, y: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 396*q - 390*q - 5730. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03013690088 to five dps.\nAnswer: 0.03014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2350 and 7614?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5193989 to the nearest integer?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12\/35 + -1\/7. Suppose 20 = -o - 63. Let m = 910\/11 + o. Which is the closest to -0.1? (a) z (b) 2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42149796 is divided by 4683310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1936 and 2750?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8*h, -2*h = 3*d - 9. Suppose -5*k = -0*k - 20. Solve -d*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21.55 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 4. Let y be a(6). Sort 4, 5, y in increasing order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 39 = 3*c - 3*s, 0 = -5*c - s - 44. Let a = c + 12. Is 3*(-4 + 170\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-42 - (1 - -6))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 174\/1747?\nAnswer: 174\/1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 369873 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:50 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 1 o when three letters picked without replacement from {o: 1, g: 1, b: 1, v: 4, i: 2, c: 6}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 2*v**3 + v + (4 - 2*v**2 - 4)*(2*v - 5 + 5) + (-28*v - 56 + 56)*(0*v**2 + 3*v**2 - 2*v**2) + v**2 + v**3 - v**2.\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 213*j - 16 = -211*j, 5*z - 2*j = 20. Find t, given that 0*t - 4\/3*t**2 - 2\/3*t**4 - z*t**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2146, -4173, -6200, -8227, -10254, -12281?\nAnswer: -14308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 69*d + 3074. What is p(-45)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + g - 7. Let o(q) be the first derivative of -7*q**3\/3 - q**2 + 11*q + 103. Let p(c) = -8*n(c) - 5*o(c). What is p(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.5638467 * 0.5.\nAnswer: 3.28192335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 17 + 8 = 0. Let x(v) = v**3 + v**2 - 1. Let p be x(-2). Does 10 divide (-133)\/p - h\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) 3\/7 (c) -0.2 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f - 1. Let a(p) be the first derivative of -21*p**4\/4 + 3*p**2\/2 - 7*p - 663. Calculate -a(z) + 5*t(z).\nAnswer: 16*z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 620*o = 618*o + 12, -3*v = o - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1275\nAnswer: 2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - b**3 + 0*b**3)*(-23*b + 25 - 25).\nAnswer: 69*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008979726 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = -3*p, -4*p = -7*p + 2*u + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -6*t**5\/7 + 5364*t**4\/7 - 47940*t**3\/7 + 132912*t**2\/7 - 20490*t + 53100\/7 = 0.\nAnswer: 1, 2, 5, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 5*n**2\/2 - 2. Let a(i) = -2*i - 5*i + 6*i. Let r(d) = 33*a(d) + 6*t(d). Let h(w) = -w. Determine h(r(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 15980 and 1581964\/99 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 18200?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(5*(sqrt(143) + sqrt(143)*-1 - sqrt(143) - sqrt(143)) - sqrt(143)*2*-3))\/(-1*sqrt(44) + sqrt(704) + (sqrt(704) - 1*sqrt(704))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 2*w**2 - 2*w - 4. Let n be k(3). Let b(z) = z - 13. Let a be b(9). Let g be (-10)\/6 - a\/(-12). Put g, 3, n in ascending order.\nAnswer: g, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43198790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 - 8*p**2 + 13*p - 41. Does 41 divide y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/(-135360)*4848 + (-32)\/20?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-8)*0)\/(-3) + 30. What is the highest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1070?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 3*y - 9 + 3. Let l be j(4). Let n = l - 15. What is the highest common factor of n and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*h**3*y - h**3 + 56*h**2*y - 8*h**2 - 3*h*y - 59610*h wrt h.\nAnswer: -1014*h*y - 6*h + 112*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2987 is divided by 897.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -222.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Let d = 163\/10 + 33\/2. Let z = -1466\/45 + d. Put -2\/7, z, p in descending order.\nAnswer: z, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 + 3874*a*s - 69*s + 32 wrt a.\nAnswer: -6*a**2 + 3874*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6877252226 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296 or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1967755.\nAnswer: -393551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3 - 20*n - 6 - 13*n + 5*n**3 + 36*n. Let d(o) = -44*o**3 - 26*o + 26. Calculate -52*c(h) - 6*d(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/(g\/((g**(-2\/13)\/g)\/g)*g))**(1\/12)\/((g**(-2\/5))**11)**20 assuming g is positive.\nAnswer: g**(2279\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9558 and 486?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 305\/2 + -2123\/14. Let o = -246 + 242. Which is the fourth biggest value? (a) 4\/5 (b) z (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20123985 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5740\/130 + 2\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22630 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 5 - 30 + 2*c**4 + c**3 - 2*c**2 to the form x + q*c**4 + y*c**2 + w*c + r*c**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1537 - 1533. Solve -6*a + k = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.1 - 13.1. Which is smaller: u or -0.81?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.53, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 8) to base 9\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**2 + 80804*l + 1269567?\nAnswer: 6*l + 80804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -9. Let v(y) = -y**2 - 4*y. Let f be v(p). Suppose f = -i + 13 + 23. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:23 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**5 + 87*j - 78*j - 9*j**5 wrt j?\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 7. Let x be h(-9). What is the second derivative of v + x*v + 7*v - 7*v**3 - 4*v**3 wrt v?\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-26)\/(-4) - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -279 - 4*o + 285 - 2*o. Let m(q) = -2*q + 1. Let x(k) = 4*m(k) - s(k). Calculate x(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 0.299, -1\/5, -149, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104517 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303532971 to the power of 1\/3, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0*t**3 + 0*t**4 + 4\/105*t**7 + 0*t - 1\/20*t**6 + 0 - 1\/30*t**5 + 6*t**2. Find w, given that s(w) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -1.2, -5\/2 in ascending order.\nAnswer: -5\/2, -2, -1.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 200*a - 127. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 517 and 166.\nAnswer: 85822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2397485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - f**2 - 2*f - 1. Let t be g(-1). Suppose -3*i = -i. Suppose i = t*h + h - 65. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.125 - -63.775. Round s to the nearest integer.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33483*z + 67001*z - 33476*z + 1554 = 0 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 190*z - 159*z - 35774. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6\/7, 5, -0.33 in decreasing order.\nAnswer: 5, 6\/7, 0.2, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 200 = 4*s, -3*r + 4 = s + 39. Let v = s - -144. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 - (-16)\/1800*-54.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1449, -786, -125, 534, 1191?\n\"Answer: -d**2 + 666*d - 2114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = -1647 + 1667 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(3874\/(-6109)))\/(-1*(-1)\/(1\/(-1)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 9*v + 10. Let r be s(-8). Suppose 0 = 6*m - r*m - 92. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**3)\/r*r)\/r)**(9\/7))**(9\/8))**(-17) assuming r is positive.\nAnswer: r**(4131\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 170.708. Let k = -0.492 - q. Which is the third smallest value? (a) -8 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/829 (b) 0.3 (c) 4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, m: 6}. What is prob of sequence mo?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 14. Let j be q(2). Sort 5, 7, 1, j in decreasing order.\nAnswer: 7, 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) -973 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqppzqqzpzpqzzzzzz. Give prob of picking 1 q and 2 z.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 39, 0.1, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50042 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2443 by 23.\nAnswer: 2443\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4353521407 to the nearest integer?\nAnswer: 65981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a02 + -d0c?\nAnswer: 16ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*132\/18. Suppose -3*i + 25 = -w - 3*w, -i + 5*w = -1. Calculate the highest common divisor of l and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -580.9078853 to the nearest integer.\nAnswer: -581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 84062 * -0.3\nAnswer: -25218.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/135064 and 67\/2.\nAnswer: 135064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 7) in base 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.292334 decades?\nAnswer: 0.6292334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 10}. What is prob of picking 2 w and 1 l?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 16*i - 56. Let c be g(-6). Let s(j) = j**2 - 5*j + 3. Calculate s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/855 - 11\/(-9) - (-2)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29578 is divided by 1480?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*o + 2 + 4 = 0, x - 2*o - 1 = 0. Suppose x*z = -0*z + 5*u + 69, -5*z = u - 115. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:19 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 69. Let m = y - -53. Suppose 0*p - 45 = -p - 5*v, 0 = -m*p - v + 177. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(13500\/(-378))*-25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2230)\/(-16) - (-15)\/(-40) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-1 - (2 - 9)) + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 188, 867, 2050, 3737, 5928?\n\"Answer: 252*r**2 - 77*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 16. Suppose -3*l + 34 = 4*y, -2*y - 2 = -5*l - c. Suppose y*s - 2*s - 40 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201438347.\nAnswer: 11, 23, 199, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-3971)\/(-2508))\/(11\/(-10) - -1))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f*f)**(-43)\/((f**7\/f)\/f**(-7)) assuming f is positive.\nAnswer: f**(-439\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(4*o - 4*o - 2*o) + 7*o**2 + 56*o**2 - 24*o**2.\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = p, -194*p + 1 = 5*b - 196*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -249223, 4 in decreasing order.\nAnswer: 6, 4, -249223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, x: 2, c: 1, j: 2, t: 1}. What is prob of picking 1 m and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - sqrt(104)*1*-1)\/(sqrt(48)\/(-1*sqrt(6))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2)*3*-1. Let y be (0 - 12\/(-2)) + 0. Solve 4*v = -z*j + 3*j - y, 10 = 2*v - 5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426286 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(0 + 2\/(-4)). Suppose -4*k = 5*l - 283, -h*l + 140 = 5*k - 3*k. Suppose 0 = 7*d - 8*d + k. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**3 - 5*m**2 + 12*m - 29. Determine i(4).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/117 - 66\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 243543300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67517916?\nAnswer: 2, 3, 29, 194017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -111. Which is the closest to 7? (a) g (b) 0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 7*f - 4. Let v be q(5). Let t be (-2)\/v - (-56)\/105. Let i be (-1)\/(-3) - 2\/(-3). Which is the smallest value? (a) i (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1484982.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + w**2 + 0*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2 + t + 2. Let l be f(0). What is the second derivative of 0*d - 4 + 4 + d**2 - l*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k + k)*(k**2 + 2*k**2 - 2*k**2) + (-3 + 0 + 4)*(96 - 19*k**3 - 96).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383872 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 145 (b) 3.51 (c) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 20221d0?\nAnswer: 20221d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u - 3*r + 38 = 0, 5*r + 16 = 3*u. Let y = 3 + -6. Let w = u + y. Solve -5*q + w*i = -33, -5*i = 2*q - 0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.7, -0.1, -0.2, 87\/44.\nAnswer: -6.7, -0.2, -0.1, 87\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/77 + (17550\/7 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/6*(-2 + 0)*1. Suppose l*p = 654 + 165. Let i = 391 - p. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 250 - 252 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f - 100 = 0. Let z be 4\/22 + (-1836)\/(-187). What is the greatest common divisor of f and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**(-2\/3)*p)**(13\/6)\/(((p**(-2)*p)\/p)\/p**(3\/7))**(-27) assuming p is positive.\nAnswer: p**(-9809\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*x + 28 = 0, -4*x = 5*d - 22 - 11. Let k(w) be the second derivative of w**5\/20 - w**4\/2 + 2*w**3\/3 + 3*w**2\/2 - w. Calculate k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 10*x - 40. Suppose u - 5*t = 3, -t = 4*u - 5*u - 9. Does 14 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 1:48 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, 3, -5 in ascending order.\nAnswer: -108, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 3*q**2 - 4*q + 2. Let v(x) = -x**3 - 2*x**2 + 2*x - 1. Let a(p) = p - 1. Let n be a(-3). Let y(z) = n*o(z) - 7*v(z). Calculate y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*3\/21*(-322)\/(-92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 3*k - 12. Let t be a(-6). Let v = t - 49. What is the smallest common multiple of 46 and 3\/(-9) - v\/(-15)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1162359894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3327.1 - -3327. What is the nearest to -3 in -0.2, h, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -5. Let t = l - 238\/3. Which is the nearest to t? (a) -4 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45621.25 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 11*b**4\/3 - 41*b**3\/9 - 109*b**2\/6 - 8*b - 5466. Let s(z) = 0. What is z?\nAnswer: -1, -1\/4, 24\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 13. What is the remainder when 4\/(4\/33) - k is divided by (36\/15)\/((-6)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 11230?\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11620 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19969*d**3*w**2 - 2*d**3*w + 12*d**2*w + 432*d**2 - 192*d*w**2 + 129*d*w + w**2 - 1 wrt w?\nAnswer: -39938*d**3 - 384*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 9*x - 10. Let d be (408\/(-32) - -6) + 3\/(-12). Calculate r(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/(((-35)\/(-50))\/(-7)). Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 2\/(-2))*1. Let h(g) be the first derivative of 0*g + c*g**2 + 2\/3*g**3 + 1 + 0*g**4 - 3\/5*g**5. What is the third derivative of h(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 10*z**2 + 9*z - 12. Calculate the lowest common multiple of o(-11) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 195975 + 5?\nAnswer: 19597a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -103, -144, -201, -274, -363?\n\"Answer: -8*v**2 - v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 0, -29*v - 6*w = -24*v + 985. Is v bigger than -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 152078335\/2 and 76039168 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 270571627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 14*t**2 - 28*t + 23. Calculate the lowest common multiple of 21 and j(16).\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4\/3 - 4*a**3\/3 + 44*a**2\/3 + 12*a - 24 = 0. Calculate a.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 40*d - 4. Let z be b(2). What are the prime factors of (z\/(-10))\/(4\/(-10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13125, -42847, -89167, -152079, -231577, -327655?\n\"Answer: g**3 - 8305*g**2 - 4814*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - w. Let n(x) = 3*x**2 + 5*x. Let g(k) = -5*d(k) - n(k). Let y(o) = -10*o + 34*o - 18*o. Give y(g(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6078 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -5*c - 116, 5*w - 4*c = -83. Which is smaller: w or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1139, 4538, 10203, 18134, 28331, 40794?\n\"Answer: 1133*o**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-6 + 7 + -7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5933*c + 1794*c - 1173*c + 217005 + 326977 = 0 for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tthvvchhth. What is prob of sequence vthh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) - (-51)\/9. Let h = 1.6 + -1.6. What is the second smallest value in -2\/3, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19679, -90774, -209273, -375182, -588507, -849254?\n\"Answer: -q**3 - 23696*q**2 + 4018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*4 - 2. Let d = o + 1. Let g be ((-42)\/(-54) + (-4)\/(-18))*2. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-57)*(-4)\/(12\/9). Find t such that -4\/5*t - 6\/5 + 8\/5*t**3 + r*t**2 = 0.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + u - 28, -5*w = 2*u - 46. Let h be -1*1 - (w + -15). Solve h*d - 3*d + 5*g = 19, -2*d - 7 = -5*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(5000) - ((sqrt(50) - sqrt(200)\/sqrt(4)) + -1)).\nAnswer: -150*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 8) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*s + 9. Suppose 109*y - 108*y - 5*o + 38 = 0, -3*o = -5*y + 30. Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-140) + 7\/35. Let f(j) = -j - 15. Let l be f(-10). Let z = -5\/77 + 19\/77. Which is the nearest to t? (a) l (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 2, t: 1, d: 2, y: 1}. What is prob of sequence yzp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzim when four letters picked without replacement from {i: 1, m: 4, p: 2, b: 1, z: 2, q: 7}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193 - 3*w**2 + 396 - 198 + 5*w)*(-2*w + 2 + 2*w - w).\nAnswer: 3*w**3 - 11*w**2 + 5*w + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59 times -40.78?\nAnswer: -24.0602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 1 + 14871 + -14980?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779268?\nAnswer: 2, 3, 7, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 5 - 5. Suppose 0 = -4*v + 5*p - 2*p - 19, -9 = 4*v - p. Let o(c) = 2*c + 1. Give v*k(j) - o(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = -2. Let l = h + 22. Let p = 22 - l. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-5 + 12\/60*20)\/(3\/(-1551))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*c**3\/4 - 2315005*c**2\/2 + 10803285*c\/4 - 1543325\/2 = 0. What is c?\nAnswer: 1\/3, 2, 308665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-32))\/(1\/(-2)). Solve -5*j**4 - 12*j**u + 5*j**2 - j**5 + 6*j**5 + 7*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041*t**3 + 2960*t + 526*t**3 + 518*t**3.\nAnswer: 3*t**3 + 2960*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/15 + -1)\/((-2805)\/(-9350)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38617 + -4.38617. Suppose 0 = 4*p + 3*s - 22, p = -3*s + 10. What is the nearest to f in 1, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 28*i - 110*i - 1122. Let b(v) = -v - 18. Calculate b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*(h*h**(-2)*h)\/h)\/h))\/h)\/h*h\/(h**4*h)*(h**(-2\/5))**(2\/45))**(1\/4) assuming h is positive.\nAnswer: h**(-226\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11815631 and 16019.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(35)\/(sqrt(7) + sqrt(343)) - sqrt(5)).\nAnswer: -8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1171 - -0.1171. What is the closest to l in -1, -0.06, -0.5, 3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843489771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*h = 5*d - 32, 16 = d + 3*h. Let i be ((4 + -3)\/1)\/(1\/d). Suppose 0 = 2*y - 3*r + 9, -i*y - 3*r + 9 = -y. Solve y = 2*p - 3*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 149732836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240*h**5 - 244*h**2 wrt h.\nAnswer: 14400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-5 + 4)) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/90 + 1240\/90*(-6)\/20.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 14) in base 6?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((3\/(-9))\/(86\/(-903)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**5 + 2*a**4 + 133093*a**2 - 828994246*a.\nAnswer: -160*a**3 + 24*a**2 + 266186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*m - 200720 = -126*m - 3075*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 16*d + 19*d + 12, -a - 11 = 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31145, 31147, 31157, 31181, 31225, 31295, 31397?\nAnswer: 31537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*g + 35233, -59*b + 55*b + 3*g + 46977 = 0. Is b a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/21*(9\/10 - (-12)\/(-30)). Let m = 3 - 2.5. Which is the closest to 0.3? (a) m (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -23*x - 5*k - 12935, 2*k = 5*x - 12947. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 (base 13) in base 9?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 6 - 16. Let d = 4 - 6. What is the closest to 0 in 0.1, g, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001694015 rounded to 6 decimal places?\nAnswer: 0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29251949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 564 + -281. Suppose 4*z = a - 6*a + m, -5*a - 179 = -2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133328 + -92485. Does 187 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158818 and 1078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d**3 + 9*d**3 - 16*d - 32 + 8*d**2 + 5*d**3 = 0. Calculate d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 6, 11, 5, -3, 0 in ascending order.\nAnswer: -3, 0, 5, 6, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.021 - -23.979. Let i = x + -22. Let d = 0.36 - -0.14. Sort i, d, -3\/5.\nAnswer: -3\/5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3105191732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/((-899)\/93))\/4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/442*(-3 + 2)\/(-3)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25513209 divided by -44217?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(1\/2)))\/l**(-9))\/((l*l*l\/l**(1\/3))\/l)**(-2\/11) assuming l is positive.\nAnswer: l**(647\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 17*o**3 - 4*o**2 + 92*o - 193. Is g(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*g - 853, -2*l - 155 + 497 = 2*g. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/(-16))\/5)\/(3\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 111, 121, 149, 201, 283, 401, 561?\n\"Answer: q**3 - 9*q + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -1\/4, 5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5\/3 - 263*s**4\/3 - 926*s**3\/3 + 248*s**2\/3 = 0. What is s?\nAnswer: -62, -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h = -125*h - 201 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 460417.9 seconds in nanoseconds?\nAnswer: 460417900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (5\/2)\/(4041\/(-20205)).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 15. Let l be y(6). Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Let y = -31\/120 - -2\/15. Sort y, h, 5 in ascending order.\nAnswer: y, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99096440?\nAnswer: 2, 5, 2477411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a microgram in nanograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -32, 150, 6, 3 in increasing order.\nAnswer: -32, 3, 6, 7, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -20. Suppose -s = -g - x, 4*s = -7*g + 2*g + 12. Suppose -63 = -s*f - 3. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i = -59*i - 56*i + 81. Solve 0 = -3*k - 29*z + 25*z - 29, i*z + 6 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121.1 and -32.\nAnswer: -3875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 163*s - 2883. What is m(-143)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/17))**(15\/2) assuming z is positive.\nAnswer: z**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11 + 40 - 7 - 16 + 20*p wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/90 - 7*j**5\/120 + j**4\/24 + 2*j**2. Let i(p) be the second derivative of q(p). Is i(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1828 + -1828.1. Which is smaller: -152 or g?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, w: 8}. Give prob of picking 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8873983 is divided by 806723.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2. Let m be t(1). Suppose 5*c + 3*r = -2*r + 55, 2*r = 2. What is the highest common divisor of c and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, 4\/21, 2, -0.18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let r(g) be the second derivative of -g**5\/15 + g**2\/2 - 5*g. Let a(p) be the first derivative of r(p). Give d(a(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 + 7*k + 0*k**2 - 35\/12*k**4 + 0*k**3. Let j(f) = f**2. Give x(j(v)).\nAnswer: -35*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64830919?\nAnswer: 37, 1752187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5617 and -0.239?\nAnswer: 5617.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864) + -1*1*sqrt(864) - sqrt(864)*-1*-5)\/(-3*sqrt(72)\/(sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(150))*-5))).\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15864.486 months in centuries?\nAnswer: 13.220405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8024*c - 576.\nAnswer: 8024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - o + 3, 0 = 5*a + 604517*o - 604516*o + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-25)\/(-75) + (-86)\/(-6) - -2 and -25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(1 + 4) + -3. Suppose 119 = -6*a - u. Let t(p) = -p - 37. Let n be t(a). Is n != -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-8))\/20*(-3 - 289). Suppose 0*b - 4*b = -824. Let i = p + b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190548592 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*m + 41. Let r(o) = -o**3 - 4*o - 4. Let z(s) = -5*s - 2*s - 2 - 2*s**3 - 5. Calculate m*z(w) + 7*r(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:07 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 31. Suppose -3*y = -5*y + 60. Calculate the highest common divisor of q and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 16 - 110*l**2 + 110*l**2 - 2*l in the form g*l + c + u*l**2 + y*l**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 912.5084 micrograms in tonnes?\nAnswer: 0.0000000009125084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 663618.\nAnswer: 86270.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 14*s**2 + 24*s + 1. Let a be l(-12). Find the common denominator of 11\/10 and (a\/(-67))\/((-2)\/12).\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199784?\nAnswer: 2, 3, 49991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4722*j + 4693*j + 290 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.58 + -5.38. Let t = d + 5. Sort 0.3, t, 0.4.\nAnswer: t, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/21840 and -89\/4630080.\nAnswer: 4630080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/275 and -4\/21536875?\nAnswer: 236905625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 1145 - 1145 - l - 1146 + 3436.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -165129 divided by 19\nAnswer: -8691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2079233 is divided by 120.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4, -96, 3, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 70, 1\/4, 1, -3, 2\/63?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2 - -8)*14\/(-35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 3874291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 2, j: 1, m: 1}. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 3 = 0. Let p be 39 + (-1)\/(1\/3). Let n be 2\/12 + 2\/p. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -42. Let j = -358 + 449. What is the remainder when j is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -33*w + 2169. Give p(65).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111212322 (base 6) to base 14\nAnswer: -3a9678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3239*r - 2089. What is the tens digit of l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -604 - -604.001144. What is o rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = 4*a, 4*q + 0*a - 37 = -5*a. Let z(g) = 4*g**3 + 3*g**2 + 2*g - 2. Calculate the remainder when z(q) is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*(-12 - -8). Suppose -l + o*l = 15. Sort -1, 3, l in decreasing order.\nAnswer: l, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 5*k + 1. Let b(q) = q**3 - 9*q**2 + 4*q + 75. Calculate the remainder when j(6) is divided by b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 7:29 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.936185 take away -12845210?\nAnswer: 12845215.936185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -2*o**7\/273 + 3*o**6\/65 + 7*o**5\/130 - 3*o**4\/26 - 5*o**3\/39 + 2*o + 91. Solve q(j) = 0.\nAnswer: -1, -1\/2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - ((-12 - 1) + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*2 + (sqrt(110) - (sqrt(110) - 4*-3*sqrt(110))))\/((-1*sqrt(80)*6 - sqrt(80))\/(1*sqrt(8)*2)).\nAnswer: 20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(100\/(-6) - 18\/(-27)). Let p be 4\/10*(-3 + -2). Let a be (-6)\/4 + (-1)\/p. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + -1)*-2*5)**2.\nAnswer: -2200*sqrt(17) + 205800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242831.\nAnswer: 37, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 469 = -j, 4*j = -j - 5*q - 2265. Let h = 632 + j. Suppose -4*p = 4*b - 1488, 3*b - 565 = -p - h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 13*n + 5. Let w be 39\/(-5) + (-18)\/(-10) + 10. Let g(o) = 3*o**2 - 6*o + 2. Give w*h(q) - 9*g(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 556 and 32?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 931 = -1229. Let i = z - 234. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 316*t + 616 = 0. What is t?\nAnswer: 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122541244 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 7. Let l(j) = 123966*j. What is z(l(g))?\nAnswer: -247932*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183 - -128. Let i = w - -107. What is the highest common factor of i and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3890*j**3 - 28*j - 14. Let t(g) = -3*g**3 - 2*g - 1. Calculate -d(s) + 14*t(s).\nAnswer: -3932*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 4, x: 1, b: 1, v: 1}. What is prob of sequence vx?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704) - (sqrt(11) + sqrt(44))*2)**2 + 1*((sqrt(1584)*-2)**2 - sqrt(11)).\nAnswer: 3*sqrt(11) + 6381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 509 and 10.\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 + 647 = 2*s. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768434 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: Is 15037 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 0)\/((-6)\/4 - -3). Let m be 7 - 31\/4 - k\/8. What is the closest to m in -0.3, -5, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 + 14. Let w = 46 - 46. Suppose -2*d + 3*b - 1 = 4*b, w = 2*d + 4*b + 4. Calculate the remainder when 26 is divided by j(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1729907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, w: 9}. Give prob of picking 3 g.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + l**2 - 3. Let y(p) = -16*p**3 + 283*p**2 - 7*p + 18. What is 6*f(n) + y(n)?\nAnswer: 2*n**3 + 289*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 851810 and 27810?\nAnswer: 22998870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 4. Suppose 5*m = 15, 5*t - 3*m - 18 = -j*m. Suppose -6 = -49*v + 46*v. Solve q + 3 = v*q, t*c - 2*q - 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7467435 and 1182960?\nAnswer: 119478960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 249*h + 2886. Determine s(-12).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfxfiwifxawaiwi. What is prob of sequence ij?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -5 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1098826 + 861682 = -3*c + 1921755. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*k**3 + 418*k**3 - 668*k**3 + 414*k**3.\nAnswer: 388*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:03 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-198) + 292\/1606.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 - 10 = -2*t, 0 = t + 5*n - 20. Suppose -62 = -t*x + 2*l, 0*x = 2*x - 3*l - 27. Calculate the least common multiple of 16 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((sqrt(40)*-3)\/sqrt(5)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32464, -64891, -97318, -129745, -162172, -194599?\n\"Answer: -32427*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2274 + 3.\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -37?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Let d(m) = -4*m**2 - 9*m - 18. Let u be d(-5). Let t = 76 + u. Put t, -2, a in ascending order.\nAnswer: -2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*d = -n + 26, -11 = -n - 2*d. Solve 0 = -n*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 169 + 11 = -13*p - 29 + 1, n = -0 - 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440746 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202180 - -202180. Let j = 1 + -2. Let o = -1 - j. Which is the nearest to o? (a) 2 (b) -1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/15 + 160849\/195. Suppose -2177 = -4*o - k. Suppose 0 = 3*i + 6, -5*w = -3*i - i - o. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14760586.\nAnswer: 2, 7380293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let m = 131 - 131. What is the least common multiple of (-8)\/(m + 2 + -4) and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3348 - 1864. What is the remainder when v is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.3, -76, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 13*v**2 + v - 14. Let c be (3 + -6)*221\/(-51). Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 0.2 (c) 2\/11 (d) -3\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v + 2*i, -10*i - 5 = -5*i. Solve 4*x = -y + 7, 2*y + 7 = v*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135136 + 13452?\nAnswer: -121354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.98 take away -0.2?\nAnswer: 164.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxhccxxchhc. What is prob of sequence xxch?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 8*c**2 + 9*c + 6. Let m be b(8). Suppose -2*q = -0*q - m. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19 + -4)\/((-6)\/(-28)). Find the first derivative of 2 - f*c**4 + 3 + 65*c**4 wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 60 = 36. Let s = u - 60. Let m = s - -51. Solve c = -3*y + m, 3*c + 0*y = 3*y - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -0.2, 4, 50?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 0.03?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 9*c + 27. Give i(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 654 and 27?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 670770 and 46260.\nAnswer: 1341540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let p be j\/4*(-1 + -1). Suppose -5*g = o + 7, -5*o = -9*o - 5*g - 13. Is o not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -129. Let u be -1 + c*(-7)\/14. Let g = -5097\/5 + 1024. Is u less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -0.4 (c) 1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -22. Suppose 2*w + 85 = 5*d - 2*w, w - 34 = -2*d. Calculate the remainder when k\/(-1*2\/(-12)) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**4\/4 + w**3 - 7*w**2. Let s be b(-3). Calculate the greatest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(132) + (sqrt(132) - sqrt(132)*1 - sqrt(132)))*-4)\/(sqrt(1728)*1 - sqrt(1728) - sqrt(48)\/sqrt(4)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*((-134)\/134)\/((-6)\/(-42)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12184\/(-6)*(-39)\/52. Let l(m) = 0*m - 1531 + u + 8*m - 11*m**2. Let p(r) = -r**2 + r - 1. Determine 3*l(g) - 24*p(g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51849 is divided by 305?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 1, v: 1, w: 1, r: 1, s: 2}. Give prob of picking 1 q, 1 w, and 2 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 624548.\nAnswer: -124909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-180)\/(-4)))\/((-9)\/(-15)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 - 6*r**2 - 5*r + 56. Determine v(6).\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1121320400 (base 5) to base 2\nAnswer: 1001101000110010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4466 - a1a5?\nAnswer: -5a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110440221 (base 6) in base 14?\nAnswer: -1864017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-587199)\/(-149136) - (-2 + 0). Let b = 1\/6214 + o. Let r = 544\/91 - -21\/26. Calculate the common denominator of b and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611974 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 0 - 24 = 0. Suppose j*m = 2*k + 3870, 51 + 2864 = 3*m - 4*k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) 0.365 (d) 4\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 divided by 54?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -16*h + 1. Calculate y(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 41131300*z.\nAnswer: -4*z*(z - 10282825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137.85 - 134. Let n = y - -0.15. What is the smallest value in n, -0.3, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4800 and -29\/23640?\nAnswer: 945600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -166.06\nAnswer: 166.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182246494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -220 + 861?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 193) + 39\/(-13). Calculate the common denominator of (-267)\/9*(-3)\/30 and (-1295)\/o - 24\/(-132).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22025915 + 22025915.22299823. Let f = -0.197 + 0.42. Let j = f - m. What is j rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53642\/9 + 5967. Calculate the common denominator of p and -47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*q - 0*c + 25, -2*c + 30 = -5*q. Let z(o) = -5*o. What are the prime factors of z(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5 = -5*y, 0 = -61*y + 56*y + 2*w + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 21151816.\nAnswer: 63455448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/595)\/(315\/294))\/(4\/(-10))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.09754 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 155836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c = -29 - 301. Solve 5 = -c*u + 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 31*u + 126. Let x be r(33). Suppose -x*n + 61*n = 83. Calculate the remainder when 246 is divided by n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 186.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 29*f**2 + 20*f - 5. Let s(g) = 29*g**2 + 16*g - 4. Calculate -2*o(n) + 3*s(n).\nAnswer: 29*n**2 + 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -2324.969994336.\nAnswer: -2324.569994336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107.99929 - 108. What is y rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + l - 26. Let i be n(0). Let v = i + 34. What is the lowest common multiple of 10 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137224 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 ((2 + sqrt(2736) + (sqrt(2736) - (-1 + sqrt(2736) + 2) - sqrt(2736)) - -3*(sqrt(2736) + 5 + 1 + sqrt(2736) + sqrt(2736))) + -1 + 5)**2.\nAnswer: 4968*sqrt(19) + 222145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3. Let w(x) = x**2 - 4. Let r(n) = -n**2 + 4. Let g(p) = -4*r(p) - 3*w(p). Suppose o - 2*o + 4 = 0. Determine o*y(d) + 3*g(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -32, -122, -302, -602, -1052?\n\"Answer: -5*m**3 + 5*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/42 - (-55)\/42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -229, -2, -4\/9, 0, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eewe when four letters picked without replacement from weeewwwewweeeeweww?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 26 - 29 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 341995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 109 (b) -2\/39 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*z - 4*a, -3*z + 59 = -2*a - 52. Suppose -2*m + j - 4*j + 36 = 0, 4*m - 5*j - 72 = 0. Calculate the remainder when z is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -0.233, 2\/3 in descending order.\nAnswer: 2\/3, 2\/9, -0.233, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 56*x**2 - 72*x - 292. Let z(w) = 19*w**2 - 26*w - 97. Let q(n) = -4*j(n) + 11*z(n). Differentiate q(g) wrt g.\nAnswer: -30*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 280806, 5, -1, 1.\nAnswer: -2, -1, 1, 5, 280806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and 73\/1670?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 152061.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -321568 + 21?\nAnswer: -321547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.18 - -21. Let z = u - -0.178. Round z to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - -76. Let g = d + -156.00000089. What is g rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 22 - 43. Let g = c + -12. Solve 2*m + 1 = -g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3\/3 + 194*a**2\/3 + 880*a\/3 - 200.\nAnswer: 2*(a + 10)**2*(5*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7919 + -7911. What is the nearest to l in 9, -2\/15, -1\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:10 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*u + 11 - 11 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 - -0.68. Put 0.4, 0.04, x in increasing order.\nAnswer: 0.04, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 93.7, 0.4, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101022 (base 3) in base 9?\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 52*q + 193. Let u(h) = -13*h + 9. Let m(k) = -32*k + 19. Let i(l) = -96*l + 58. Let f(b) = 3*i(b) - 8*m(b). Give q*f(a) + 12*u(a).\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 82, 96, 130, 190, 282, 412?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14401455 (base 6) to base 11.\nAnswer: -310221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 63621296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 3. Let j(c) = -2*c - 2. Let o(n) = 2*j(n) - 3*r(n). Let q be o(3). Solve -5*h - q*k = -8, -h + 5*k - 4 = 4*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14053870 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {z: 2, e: 10, a: 1, s: 2, y: 2, v: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2\/2 - 2*o - 1. Let u = -46 + 43. Let k be g(u). Solve 0 = 2*n - k + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*m**2 + 6*m**2 + 7*m**2 - 2*m wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/6432*(-4776)\/(-1990).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 4. Let o be r(4). Let j(f) = 2*f**2 + 15*f + 26. Let m be j(-2). Put 1, o, m in ascending order.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 13*s**2 + 124)*(-5*s + 0*s - s).\nAnswer: -78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k, -4*y = y + 5*k - 60. Calculate the remainder when 58 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19352 at least as big as 21158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14441412 (base 5) in base 10?\nAnswer: 155857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 + -6 + -11 + -2 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2. Let i(v) = v - 8. Let a be i(10). Let z(g) = -4*g + 4*g + 4*g**a. Determine s(z(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320471130 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**2 + 4*t - 1. Let d(r) = -2*r**2 + 3*r + 1137. Determine d(c) - u(c).\nAnswer: -c**3 - c + 1138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.11, -0.1, 1\/2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 10, -4, -5 in descending order.\nAnswer: 30, 10, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-2464)*(-296)\/111?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11020221 (base 3) to base 4.\nAnswer: -300133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 17?\nAnswer: -25\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 385799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.294537 and 909.83.\nAnswer: 908.535463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 1 - 1)*(0*w**2 - 2*w**3 + 0*w**2) + w**4 + w**2 - w**2 - 96 + 7*w - w**4 + 14 + 35 to t*w**3 + f*w + y*w**2 + h + g*w**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(24\/(-240))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008727 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578959 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, y: 4, k: 1, r: 3, s: 4}. Give prob of sequence rskr.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 113795 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**2. Let y(t) = 37*t - 16*t - 33*t + 89*t. Determine y(d(z)).\nAnswer: -462*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284 by -263.\nAnswer: 284\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486 + 5867*s - 30352*s + 487.\nAnswer: -24485*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -14 + 8 + -32 + 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381543 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5107, 10124, 15141?\nAnswer: 20158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 385*f - 1657*f - 6360 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 1, w: 4}. What is prob of picking 2 o?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2830788 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 38. Let n be b(20). Suppose -5*j - 8 = -2*t + n, 5*j = 5*t - 165. What is the greatest common factor of 264 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1602259*g**2*w**2 + 256*g*w + 30*w**2 wrt g.\nAnswer: 3204518*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 4553601.38731.\nAnswer: -4553633.38731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from xqiivav.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 57*u + 758. Is s(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 - -0.25999456. Round u to 7 dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(1*2\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*l*r - 321350*i*l - 4*i*r + 1411*l*r + 87*l wrt i.\nAnswer: -l*r - 321350*l - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*b**6 - 311*b**5*d**2 - b**2*d**2 + 459*d**2 wrt b.\nAnswer: 1920*b**3 - 18660*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30911 times -139?\nAnswer: -4296629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 5\/2, 31\/4, -1, -1\/9 in decreasing order.\nAnswer: 31\/4, 5\/2, 0.7, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**10\/90720 + d**4\/6 + 2*d**2. Let g(i) be the second derivative of q(i). Factor g(u).\nAnswer: u**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = -t, -8*d + 7*d - 2*t = -6. Solve -x + 6 - 5 = d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbwivwcwbbbwwpv. Give prob of picking 1 b, 2 w, and 1 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3581 (base 12) in base 15?\nAnswer: -1ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u - 30. Suppose -3*g + 26 = -2*t, 3*g - 20 = 3*t + 16. List the prime factors of c(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5982 is divided by 77?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -156, -526, -1240, -2412, -4156?\n\"Answer: -19*n**3 - n**2 - 4*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7084 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 + 0*a**3 + 3*a**3 + (-6*a**2 + 3*a**2 + 2*a**2)*(-a + a + 2*a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 - 24 = -3*m, a - 3 = -m. Let u be m\/49*-7 + 16\/(-7). Does 9 divide (-92)\/46 + (-1)\/(u\/100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - v - 28, 3*j - 5*v = 74. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c, -3*c - c = y - 4. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2 + 4 + 0)*(0 + t + 0)*(0 - 1 + 2)*(-4 + 4 - 5)*(t**3 - 20*t**3 - 9*t**3).\nAnswer: 560*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - 0 - (2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 1. Let r be t(-1). Suppose r = -3*w + 10. Find the first derivative of w*b**2 - 1 - 4*b**2 - 2*b**2 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 3970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59653 or -1\/3?\nAnswer: -59653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s - 26*s - 7*s)*(3*s - 5*s + 0*s) + (-s + 2 - 2)*(-3*s + 2*s + 0*s) to the form r*s + g + u*s**2 and give u.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 + 2.3. Let o = -3 - -2. Let y be o\/(-2 + 3\/1). Which is the closest to y? (a) s (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454968 to the power of 1\/2, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.542026 * 565\nAnswer: -306.24469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 - -210. Suppose v*m + 24 = 22*m. Solve 0*c = m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**4*h**3 + 1244904*f**3*h**3 + 18521*f*h**3 - 258*f*h wrt f?\nAnswer: 48*f**2*h**3 + 7469424*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -2 (c) -0.3 (d) -3\/5 (e) 5 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 4. Let r(w) = -w**2 + 4*w + 1. Let q be ((-3)\/3)\/(2\/(-6)). Let k be r(q). List the prime factors of t(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874, 873, 872, 871?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 782672 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -164 and 2.0374601.\nAnswer: -161.9625399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162278221 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.1. Let w = -0.2999975 - a. What is w rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 93.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1814 and -133\/18?\nAnswer: 16326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = 2*v, 0 = -3*f + 5*v + 1163. Let m = -356 + f. Calculate the remainder when m is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6971326 divided by 3?\nAnswer: 6971326\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 12 + (-98 - -96) + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138171839 to the nearest integer?\nAnswer: 11755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v + 358 - 848 = 386 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/2 + 33*u**3 + 1089*u**2\/2 = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474915*t**2 - 474786*t**2 + 4*t + 0*t - 4*t.\nAnswer: 129*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 2*q**3 - 4*q**2 + (0*q**2 - q**2 + 0*q**2)*(3*q - 2*q + 0*q) + (-2*q + 0*q + q)*(-q**2 + 4*q**2 + 0*q**2).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 414?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) + 7\/(-70)*-10. Suppose 0 = -x + 3*x. Let s be (x\/3)\/(1 - 2). Solve -u*l = -s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let f = -3 + p. Let d = -0.23 - -0.13. What is the closest to d in -0.4, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxttkrtlxxxrrx. Give prob of picking 1 y, 1 l, 1 t, and 1 k.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - l**3 + 0)*((1 - 1 + 1)*(-1 - 1 + 3) + 7 - 25 - 11) in the form b*l + v*l**2 + j*l**3 + u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2063242*c*d**3 + 23*c*d + 4051*d**3 - 7*d - 157 with respect to c.\nAnswer: 2063242*d**3 + 23*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*w = 1810, -109*w + 716 = 2*y - 107*w. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297.59 take away -0.4?\nAnswer: -297.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4517390568.\nAnswer: 2, 3, 188224607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 + 14914*b\/3 + 2160848\/15.\nAnswer: 2*(b + 29)*(b + 37256)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 17 = 3*d, -5*p - d + 95 = 2*d. Let n be (8\/16)\/((5 - 3)\/p). Let u be n\/(-12) - 40\/(-12). Solve 3*c - 7 = -2*c - u*w, 5*c + 1 = -w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e (base 16) in base 6?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-250)\/(-4) - (-3)\/(-6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(-164)\/42*3. Suppose 3*q + 26 + 27 = 2*i, -80 = -5*i - 3*q. What is the remainder when (68\/10)\/(b\/615) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 5 = 0. Let y be 123\/12 - f\/4. Solve y*m - 5*m = -5*i, -5*m - 4*i + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o**2 - 7*o + 3. Let j be a(-6). Find the second derivative of 11*y**2 - j*y - y - 5*y**2 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 345341*v**2 + 529241 wrt v?\nAnswer: 690682*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*u = 35, u + 3*u - 20 = -4*z. Solve 7*f - z*f + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1010199925 or 1?\nAnswer: 1\/1010199925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amw when three letters picked without replacement from mdawr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -26, 3, 4, -5 in descending order.\nAnswer: 6, 4, 3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1007\/10 - -94. Let j be 3\/21 + (-125)\/(-7). What is the common denominator of d and 3 - (-1)\/(j\/(-5))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3 - 32532*m**2 + 65078*m + 97608 = 0. What is m?\nAnswer: -16268, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 9*l - 9. Let t be p(-8). Suppose -t = -4*s + 17. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose u*o + 2 = -6. Is (8\/6)\/(o\/(-66)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1275*d*u**2 - 7*d + 60*u**4 - 726*u wrt u?\nAnswer: 2550*d + 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/9174 and 133\/90?\nAnswer: 137610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.588 to one decimal place.\nAnswer: -68.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 39. Solve -6*q - x = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 9 - 74*p + 72 + 126*p - 70*p to the form z + k*p + c*p**2 and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)*w**(6\/13)*w*(w**(-2\/7)\/w*w)**(-2) assuming w is positive.\nAnswer: w**(-88\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14*w - 540 = 0. Suppose 9*f + f - w = 0. Solve -f*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m*m*m**(1\/10)*m)\/(m**(-5)*m**(-5)))\/(((m**(-1\/3)\/m)\/(m**(2\/11)*m))\/(m*m*((m**(-3)*m)\/m*m)\/m*m*m**(4\/5)*m*m)) assuming m is positive.\nAnswer: m**(8387\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*z**2 - 11 + 17*z + 31 + 66*z to the form a + g*z**2 + x*z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 459\/135 + 1*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, v: 6, q: 6, d: 1, l: 1}. What is prob of sequence yvy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*s - 178 = -0*z, 210 = z + 5*s. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88.79 + 0.21. Let t = 89.3 - l. Put 3, 7, t, -4\/7 in descending order.\nAnswer: 7, 3, t, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -14. Solve 0*s = -a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = 4*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -14481706\nAnswer: 275152414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 167*d**2 - 871*d - 5688.\nAnswer: (d - 9)*(167*d + 632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 - j**4 + 2*j**4)*(-2 + 11 + 2) + (-1 + 3*j**2 + 1)*(-1 - 1 + 1 - 2*j**2).\nAnswer: 49*j**4 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - (-10)\/105*186. Suppose -2*w + 2 = d, w - 3*w - 22 = -3*d. Suppose -y + d = -2*r. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-2)*-1*(-682)\/396*(-87)\/899.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -902, 34, 3, -4, 0 in increasing order.\nAnswer: -902, -4, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*f = 72 + 58, -4*f - 94 = 3*j. Let c = -23 - 12. Do c and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226 and 949254014?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-3))\/(6\/(-8)). Let y(v) = -4*v + 4. Let c(o) = -12*o + 12. Let a(s) = d*y(s) + 5*c(s). Let n(h) = 3*h - 3. Calculate -4*a(x) + 6*n(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 16 - 1. Suppose 2*z - v*n = -n + 12, -5*n + 18 = z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 765, 2648, 5431, 9108, 13673?\nAnswer: 19120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23420 is divided by 1081?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/60 + h**4\/12 + h**3\/6 + 4*h**2 - 2. What is a(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - (-56 + 139 - 77)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(-9*(-2)\/(-16))*(-29175)\/778?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 6*f**2 - 34*f + 148. What is the least common multiple of 15 and s(8)?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3390 and 51178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*q + 28. Does 10 divide 902\/q + (2 - 11\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1391.245 meters to kilometers.\nAnswer: 1.391245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -154626147 greater than -154626147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*w - 42, -5*j + j + 12 = 0. Let i = 9 - 4. Let o = w - i. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1216 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -94*c. Let r(y) = y**2 - 120*y. What is x(r(v))?\nAnswer: -94*v**2 + 11280*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 - 0.12. Put 1, 3, n in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11211220 (base 3) to base 6.\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -44*u + 4546. Let s(m) = -53*m + 4547. What is -6*j(r) + 5*s(r)?\nAnswer: -r - 4541","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 7376?\nAnswer: 51632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + (-3)\/(-1 + 0). Let g = 20 + b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 30 = 2*l + 20, -8 = -r + 5*l. What is the third smallest value in -0.2, 19, r?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 9*z + 171. Let m be z\/18*-20*-2*3. What is the remainder when 62 is divided by (-19)\/(m\/336) + (-1)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 2*o - 7. Let a be n(5). Let c = 30 - a. What is the remainder when 2\/(((-4)\/(-130))\/1) is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -12. Suppose -3*x + w*x = 0. Suppose x = 5*s + r - 6*r - 220, 4*r = 2*s - 94. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*n + 4 = 0, -2*o + 5*n + 0 - 1 = 0. Suppose 2*d + o*l = -8, d - 2*d = 3*l + 14. What is the remainder when 28 is divided by (-6)\/((-2)\/d)*5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 6. Suppose -2 = -2*r - 3*r - 4*d, -d = -5*r + 12. Let n(l) = l + 2*l + 3*l - r*l + 11. Let w = 4 - -2. Calculate w*n(i) + 11*t(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3601 = -9*j - 4*j. Is 35 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 - a - 1. Let t(h) = 2*h**4 - 8*h**3 - 20*h**2 - 12*h - 12. Let s(n) = t(n) - 8*x(n). What is the second derivative of s(p) wrt p?\nAnswer: 24*p**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166.071 + 166. Round h to 3 dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1.87.\nAnswer: 3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 7. What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896711784 a multiple of 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6477)\/(-4)*(-8)\/(-2). Suppose 14*n = 2917 + v. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b**3 - b**2 - 3*b. Suppose -28*s + 32*s = 2*d + 8, -4*d = -s - 5. Let l(v) = -14*v**3 - 2*v. Determine s*l(h) - 2*f(h).\nAnswer: -14*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1. Let q = -12.3 + 12. Let h = q - -0.7. What is the closest to -2\/7 in h, f, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4107*h + 69818. Determine i(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i**2 + 4*i + 4. Let p(y) be the second derivative of 49*y**4\/6 - 35*y**3\/6 - 35*y**2\/2 - 462*y. Give -35*b(a) - 4*p(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/9? (a) -4 (b) -0.3 (c) -3\/7 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 4*l - 35 = 0. Let y be (3\/l)\/((-6)\/30). Solve -y*r - 13 = o - 2*o, -2*o = -3*r - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.044*-48.361\nAnswer: 50.488884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 580 and -2?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = t + 2*o + 2, 4*o - 56 = t. Let y = 30 - t. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*j = -37406 - 26553 - 5524 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/4)\/((-77)\/(-308)). Let c be ((-9)\/2)\/(((-351)\/(-18))\/t). Solve -g = -c + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768805 is divided by 6801?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 201062.547 seconds?\nAnswer: 2.3271128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4196589 litres to millilitres.\nAnswer: 419.6589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from uuouuuuouuo?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -80. Factor -2\/9*h**4 + 0*h + 2\/9*h**2 + 0 + 0*h**s.\nAnswer: -2*h**2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 10942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 37 + 110. Let f(z) = 4*z**2 - 21*z - 3. Let j be f(9). Let y = j + -53. What is the remainder when y is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 11 = -i, 4*i - 60 = -76 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {i: 9, v: 2, g: 3, o: 1, k: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 539359?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4405483*l**3 - 4707369*l?\nAnswer: -26432898*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 8*x + 3. Suppose -26 = 2*v - 14. Let h be l(v). Solve -4*a = 2*q - 20, 1 + h = 4*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s + (1 + 0 - 2)*(-s + 3*s + 0*s) + 3*s - 13*s + 4*s)*(-38 + 7 - 3).\nAnswer: 238*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s\/((s*s*(s\/s**(-2\/25)*s)\/s*s)\/s)*s)\/s)))\/s**(-16) assuming s is positive.\nAnswer: s**(348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -770437108 divided by 4.\nAnswer: -192609277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.805 + -0.955. Which is the fourth smallest value? (a) t (b) 10 (c) -3\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1822\/(-395))\/((-840)\/325). Let v = 1\/948 + z. Let h = 12\/7 + v. Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 102779712.\nAnswer: 102779712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 465 + -476. What is the third biggest value in 3, 0.4, -3\/7, m?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0*q**2 - 3*q + 3*q**2 + 9*q + 1. Suppose 0 = 2*i - 29 + 15. Calculate the remainder when v(-4) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54433 (base 7) in base 16?\nAnswer: 351d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let v(r) be the first derivative of -r**6\/120 + r**3 - 4. Let y(q) be the third derivative of v(q). Give y(h(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77222005?\nAnswer: 5, 7, 677, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 292 + 359. Calculate the lowest common multiple of 3 and o\/2*52\/78.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h + 6. Let w(j) = j**2 + 16*j - 17. Give 11*k(i) + 4*w(i).\nAnswer: 4*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622316, 1243537, 1864758, 2485979, 3107200, 3728421?\nAnswer: 4349642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/360 + 20*a**3\/3 + 117*a**2. Let j(x) be the first derivative of o(x). Let m(g) = 2*g - 7. Determine m(j(d)).\nAnswer: 2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381491656?\nAnswer: 2, 7, 13, 74861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + -4 + sqrt(52)\/sqrt(4) + 2.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 19 = 3*j, -4*i - 21 = -0*j - 5*j. Let u be (i\/2)\/(1\/(-6)). Let l = 8 + u. Sort l, 4, 3 in increasing order.\nAnswer: 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 + 3*k**5 - 3*k**5 + (7*k**3 + 7*k**3 - 6*k**3)*(0 - k**2 + 0))*(-3 + 1 + 3).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*(sqrt(425) + -2)*1*5 + -1)*3)**2.\nAnswer: -37800*sqrt(17) + 867681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2915 and -39\/331780.\nAnswer: 3649580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 14 - (7 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(-4 + (5*((sqrt(833) - (3*sqrt(833) - sqrt(833))) + sqrt(833)) - sqrt(833)) + sqrt(833)*-4 + 5))**2.\nAnswer: -840*sqrt(17) + 333209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y. Suppose 3 = 3*w - 2*i - 15, y = -5*w - 2*i + 30. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b = 20*b + 80. What is the least common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -697697 rounded to the nearest 10000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeeeeec?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -127*j**2 + 111*j - 32. Let t(r) = -201*r**2 + 166*r - 49. Let l(h) = -8*a(h) + 5*t(h). Determine l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.85 * 0.01.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/((-1485)\/18)*-96?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10)*3\/9. What is the second smallest value in v, -4, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003358830484 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*o + 145 = -0*d, 0 = 3*d - o + 459. Let a = d + 294. Is (-14)\/(-4)*a - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200448?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 522797 and 556998530.\nAnswer: 557521327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*((sqrt(475)*-3 - sqrt(475))**2*-2 + sqrt(475) + (sqrt(475) - ((4*sqrt(475))**2 + sqrt(475)))*-2) + 4 + 5.\nAnswer: -25*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j**2 - 12*j. Let b(x) = -x**2 + x. Let a(t) = -4*t - 11. Let o be a(-3). Give o*m(h) + 12*b(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 0) + (23 - 14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -1 - (-127 - -159)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/66 + 8\/(-44). Which is the nearest to g? (a) 0.1 (b) 0.3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6072 - -0.4432. Which is the second biggest value? (a) -1\/6 (b) -3\/4 (c) -1\/4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l)\/l**(2\/9) assuming l is positive.\nAnswer: l**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-24)*(29 - -1). Suppose -l + 44 = 3*l - 5*d, -3*l + k = -2*d. Calculate the least common multiple of l and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/3 + (-4)\/(-6). Let w(v) = -v. Let s be w(d). Let j = s - 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 47 = -147 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.3103 tonnes to grams.\nAnswer: 293310300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*t + 2, -w - 8 = 3*t - 15 - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 4*a**2 - 6*a + 4. Let g be x(5). Let v = -161 + 3221\/20. Is v > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, u: 1, f: 4}. What is prob of picking 2 c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34009\/34956 + 2\/2913. Calculate the common denominator of -29\/12 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**5 - 5*k**4 - 5*k**3 - 5*k**2 + 5*k. Let t(a) = -a**5 + a**4 + a**3 - a. Let x(q) = d(q) + 5*t(q). What is the third derivative of x(h) wrt h?\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -57. Let v = -23 + q. Solve -3*o - l = -v + 2, -3*l = 2*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 53*j + 230. Give d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158885772 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -5. Let m = q + 14. Suppose -w + m = -4*w + 2*x, 3*w - 5*x = -10. Solve -l - 3 = -w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101780429 to the nearest integer?\nAnswer: 10089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/360*18)\/((5\/(-22))\/(-5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 28. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14810 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - 151. What is the derivative of 24 + 9 - 21 - h*d + 32 wrt d?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-765)\/180 - 855\/(-252))\/((-2)\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*t = 30, 3*t - 40 = 5*v - 0*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2823, 0.011, -2\/9?\nAnswer: 2823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1. Let c(z) be the first derivative of z**2 + 5*z + 1. Suppose 6*i = 9*i + 18. Let f = -5 - i. What is f*c(w) + 5*l(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -729, -1657, -2797, -4149?\n\"Answer: -106*w**2 - 610*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 133\/4. Let x(d) be the first derivative of 0*d**3 + 1\/20*d**5 + 1\/8*d**4 - 1\/4*d**2 - t*d + 1. Find a, given that x(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232 * 0.0932.\nAnswer: -21.6224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(1944))\/sqrt(8) - ((0 + sqrt(3) + sqrt(3)*2 + -1 + -1*sqrt(3))**2 + -5).\nAnswer: -8 + 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**3*u**3 - 2*d**3*u - 6*d**2*u - 24*d*i*u**3 + 3*d*u**2 + 5*i*u**3 + 5*i*u**2 - 3*i*u - 2*u**3 wrt u?\nAnswer: -24*d**3 - 144*d*i + 30*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 106465.\nAnswer: -106465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 1. Let d = x - -5. Let j = -3772 + 3774. Sort -2, d, j.\nAnswer: -2, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**7\/21 + f**4\/3 - 3*f + 2. Let h(q) be the first derivative of x(q). What is the third derivative of h(i) wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 + -194.9. What is the biggest value in 0.3, 1\/2, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*d**3 - 2*d**2 - 325*d wrt d.\nAnswer: 342*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 134 = -18*q, 2*n - 9*q = -7*n - 0*q - 12*q + 69 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 26. Let k = x - -14.3. Let d = -21.2 - k. Round d to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 - 1118*j - 5840. What is n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1379*b**4 + 16*b**2 + 14*b - 1633. Let t(l) = 690*l**4 - 7*l**2 - 6*l + 816. Let p(u) = 3*f(u) + 7*t(u). Find the third derivative of p(k) wrt k.\nAnswer: 16632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 61*p**2 + 55*p - 367. Calculate h(-60).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31094, 31087, 31080, 31073?\n\"Answer: -7*w + 31101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*v = -221887, -58613 + 3148 = -a + 3*v. List the prime factors of a.\nAnswer: 2, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -4*q - 2240. Which is bigger: q or 159?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - ((3 - 1) + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -34\/5 (b) 3\/2 (c) 2\/11 (d) 428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0967875 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 16*k**2 + 47*k - 662. Determine d(16).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 4)*(2 + -1). Does 2 divide 0 - (2 - n - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6672.5 + 6680.5. Let h be (26\/14 + -2)\/1. What is the second biggest value in h, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose -86 = -4*q - 2*z, 3*q - o*z = -3*z + 62. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 6. Let i = u + 11. Let r = -9.99872 + i. Round r to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = s + 2*s + 27, -22 = 2*s + 3*r. What is the units digit of 8\/20 + (-148)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 16282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 72. Let j = 18 - d. Let t = j - -9. Let r(p) = p**2 - 2*p + 1. Give r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -f - 7. Let g = -41 + 90. Suppose 2*r + g = 171. Calculate the remainder when r is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5302 divided by 2651\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s - 21. Let a be m(-4). Let u = 3 - a. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {c: 11, f: 9}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -61. Suppose 7*v - g = -4*k + 8*v, -3*v = 5*k - 166. Suppose 2*n - k = 24. What is the greatest common factor of 70 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 2, i: 8, f: 4}. Give prob of sequence fiwf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 138 = -v + 5*s, -5*s = 2*v - 64. What is the remainder when v is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6, -107, 0.3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.7 + -54. What is the nearest to 6\/11 in u, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*w - 28. Solve v + 3*a + 3 - 11 = 0, -w*v + 2 = 2*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -178*i**3 - 3*i**2 + 7*i + 15. Let f be y(-2). Let t = 5428 + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*j - 20. Let s(u) be the third derivative of -5*u**4\/12 - u**3\/6 - u**2. What is s(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.326587 rounded to 2 dps?\nAnswer: -36.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1135431, 1135430, 1135429?\n\"Answer: -p + 1135432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*v, -2*l + 4*v - 147 - 985 = 0. Let j be (-3)\/(l\/(-77) - 7). Let u(h) be the third derivative of -h**4\/24 - h**3\/2 + h**2. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*78\/(-2)*456\/(-1026).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -320201100 (base 4) to base 12\nAnswer: -b1b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3398\/(-313) + 11) - (0 - -7).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2535 and 3765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/15)*w*w*w**(-8))\/(w\/(w\/(w\/(w\/((w**(2\/5)*w)\/w)))))**2 assuming w is positive.\nAnswer: w**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*-3*2*(-4)\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -171\/10 (b) -5\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2394615*a. Let p(t) = 40*t**2. Give p(g(c)).\nAnswer: 229367239929000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*p**2 - 65*p**2 - 99*p**2 as v + l*p**2 + x*p and give l.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = h - 8, 196622*g - 196621*g - 4 = 0 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*p + 11. Let i be (-4)\/((-8)\/p)*2. Let j = i + 16. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867974*i - 867974*i - 8*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 2 + 4)*(-3 + 2 + 4) + 0 + 1 + 1 - 5 + 2 + 4)*(-2*u**2 + 2*u**2 - 2*u**3) in the form o*u**2 + x + v*u + k*u**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 2*i**2 - 32*i**2 + 520*i - 520*i.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 37 - 34) + 1 + -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 5. Let h(q) = -2*q - 38. Let v = -57 - -40. Let w be h(v). What is t(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.1057.\nAnswer: -0.01057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 453793874 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 9) in base 4?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 1\/12*v**4 + 0*v + 0*v**3 + 0 - v**2. Let q(k) be the third derivative of k**5\/15 + 7*k**2. What is c(q(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06357 + 480.43643. What is k rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = -4*i - 6, -3*i = -j + 9. Let -2\/13*l**2 - 2\/13*l + j = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17668094.4 + -17668092.89000061. Let c = 1.51 - h. Round c to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 1 i when three letters picked without replacement from iwwccwiwwciwc.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 302440*w**2 - 604868*w + 302432.\nAnswer: -4*(w - 75608)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -403, -393, -373, -337, -279, -193, -73, 87?\n\"Answer: m**3 - m**2 + 6*m - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*b + 385*b - 203*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 47, -1\/14.\nAnswer: -1\/14, 1, 8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20634.\nAnswer: 2, 3, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 265642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -1350, -1348, -1346, -1344?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23394.3 months to millennia.\nAnswer: 1.949525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-154))\/(34 + 26015\/(-770))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + 2*j)*(j**2 - 3*j**2 - 3*j**2 + (-2*j + 2*j - 3*j)*(0*j - 4*j + 5*j) - 2*j**2 - 3*j + 3*j - 4*j**2 + 0*j**2 - 7*j**2).\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*a = 2, 4*j = 5*a - 9*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(3 + 20\/(-5)). What is the greatest common divisor of h and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + j. Solve 2*y + 10 = -j*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gosddmsp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqkqqqq. What is prob of sequence qq?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 1590 (b) 15 (c) 3 (d) 0.7 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/40 and -47\/132?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(3 + 0 + -4). Let k(y) = y**2 + 3*y**2 - y**z + 0*y**2. Let g(p) = 4*p**2. What is g(k(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 151. Which is smaller: s or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*w = 4204 - 4263, 0 = 2*d - 8*w + 30 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/5, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -18557004?\nAnswer: -1\/4639251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = -3*t - 3 - 3, 6*t = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 1\/7*y**3 + 0*y**2 + 1 + 0*y. Factor q(i).\nAnswer: 3*i**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(2 - 1 + 0)*(16 - 7*i - 2*i - 17).\nAnswer: 9*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1151 - -6692959.46\nAnswer: 6692959.3449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 161 * -0.5\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742 a factor of 18261386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((28 - 24)\/8)\/(-3 + (-258)\/(-88))\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 = 3*h, 2*b + 5*h = -0*h - 14. Suppose b*x - 5 - 4 = 0. Which is greater: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -7 in descending order.\nAnswer: 5, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -5, -1837 in descending order.\nAnswer: 4, 2, -5, -1837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 4. Let a be q(4). Let k(s) = 41 - 20*s - 18*s + 579*s**3 + 38*s**2 - 578*s**3. Let z be k(-39). Solve a = -l - z*l - d + 11, 2*d = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 15. What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*t - 3 = 10, -5*w - 5 = -5*t. Let b(v) = 6*v - 3. Let n be b(w). Let j = n - -47. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 1 + 1)*(-15*r**2 + 30*r**2 - 17*r**2) - 2*r**4 - 4*r**2 + 3*r**2 + 4*r**2 to j*r**2 + s + v*r**3 + c*r**4 + a*r and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Is 2 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q + 280 - 134 - 146.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276.7354 - 277. What is x rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2142 + 2179. Calculate the remainder when d is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301122 - -11?\nAnswer: 2301133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s + 2205 - 4083 = 4734. Put -4, -2, 1, s, 6 in increasing order.\nAnswer: -4, -2, 1, 6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 29 - 331 = 0. Suppose -2*r + 5*c = -p - 46, 5*r + 5*c = 330. Let b = r - 33. Solve k + 4 = -i, k + b - 7 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2549 + -2589. What is the closest to -3 in 0, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - k**2 + 1 - 4*k**3 - k**4 + 3*k - k**4 + 2*k**3 as p*k + d*k**3 + n + m*k**4 + t*k**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a**3 + 2*a**2 - 2*a - 2. Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -35. Let p be ((-36)\/n)\/((-3)\/(-160)). Let i = p + -29. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {p: 1, f: 1, a: 2, r: 1, y: 2, j: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**7)**(-22))**20 assuming o is positive.\nAnswer: o**2640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505.07 - -7.591.\nAnswer: -497.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19998930 by -1999893.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36290565 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 + h - 4. Let m be v(-5). Let l(c) = 2*c**2 + 4*c + 9. Let u = 1 + 3. Let q(r) = r**2 + 5 + 2*r + 0 - 1. Give m*q(g) + u*l(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, c: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/25 in 5, -1\/2, -2\/19, -1\/8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34131*f**3 - 2*f**2 - 34143*f**3 + 2*f**2.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**2 + 0*s**2 + 0*s**2 to f*s**2 + m*s + c and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -2*y + 348. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {k: 1, a: 4, v: 2, z: 3, x: 3, g: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.351 + 0.649. Sort -2, 0.038, 1\/4, v in increasing order.\nAnswer: -2, 0.038, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -365*a + 360*a + 390. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2\/7)\/g)*g)**(-2\/7)*g\/g**2*g\/(g*g**(-2\/39)) assuming g is positive.\nAnswer: g**(-3607\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**4\/8 - j**3\/3 + 26*j**2. Suppose 3*a = -2*a - 505. Let q = a + 106. Calculate f(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 301\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8148 and 1505784.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**3 + 0 - 71*y**2 + 0*y + 1\/300*y**5 - 1\/20*y**4. Let i(t) = 0. Calculate t.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 17 = -39*h + 34*h, -i + 2 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-215)\/(-35) - -1) + -7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/126? (a) -5 (b) -3 (c) 32.4 (d) 2\/7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 50957763*0.06\nAnswer: 3057465.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-65))\/((-2)\/10). Let p = -0.41 - -0.01. Let n = p - -0.6. Which is the nearest to n? (a) l (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*l - 111*l + 261. What is the remainder when l is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38731 by 1236.\nAnswer: -38731\/1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4597227 decades to years.\nAnswer: 4.597227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 441. Let u be c(0). Is -442 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*k - 1208 = 4834. What is the remainder when 111 is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 3, o: 1, t: 3, w: 3}. Give prob of sequence pol.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1350816743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 25 = 9. Let g = x + 29. Calculate the remainder when 36 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 41263992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863759648.\nAnswer: 2, 3, 19414163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by -10\nAnswer: 343\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*q + 2. Sort q, 3, -3 in decreasing order.\nAnswer: 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/176 + -41\/528. Let m = 3 - 3.4. What is the third biggest value in 2\/9, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from {m: 1, c: 4, n: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c19 + -2?\nAnswer: -7c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxznnxnnn. Give prob of picking 1 n and 1 x.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 2*i**2 - 9*i + 7. Let z be x(1). Determine v, given that 21*v - 30*v**z - 2*v + 27*v**3 + 35*v - 21*v**2 = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, -21.1 in ascending order.\nAnswer: -21.1, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 60 = -4*z - 17*u + 19, -4*z = -5*u - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*-4*((-2 + (sqrt(28)\/sqrt(4))**2 - (sqrt(700)*-2)**2) + (sqrt(189)*2)\/sqrt(3)).\nAnswer: -11180 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 159*r - 15. Let w(s) = 53*s - 6. What is 3*u(v) - 8*w(v)?\nAnswer: 53*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.1 + -15.2. Which is the biggest value? (a) -1\/4 (b) 0.1 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1639217 or 1639216?\nAnswer: 1639217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + k - 3025 + 3025.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 30. Determine y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/13)*(m\/m**10)\/m*m\/m**4*m**(-2\/9) assuming m is positive.\nAnswer: m**(-1574\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732424 is divided by 732361?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffgt. What is prob of picking 1 f and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Solve d*g - 2*g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8559 and 94803605.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1278 (b) -1\/7 (c) 1.5 (d) -5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4215 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n + n**3 + 31*n**2 - 36*n**2 + 6 + 10*n**2. Calculate g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*x + 37, -18*q = -2*x - 17*q - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:11 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 0 - (-1 + -1). Suppose 0 = -v*t + 2*t + 10. Solve -t = r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 6, o: 1, z: 4}. Give prob of sequence azoa.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(40)\/(2*sqrt(4)))\/(sqrt(5) + (-4*sqrt(5) - sqrt(5))*-6 + sqrt(5)).\nAnswer: sqrt(2)\/64 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 85.16. Let k = 1.359 + q. Let m = 0.059 - k. Round m to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5.7. Let p = 0.2 - j. Let v be 0 - ((-45)\/12)\/(-5). Is p less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**4\/4 - 7*t**3\/3 - 4*t**2 - 2. Let l be s(3). Solve 3*z + 0 = -l*v + 27, -4*z + 32 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 637787, 5102281, 17220209, 40818293, 79723255, 137761817, 218760701?\n\"Answer: 637787*u**3 - 5*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 4. Let l be t(4). Suppose 0 = 23*x - 17*x - 36. Solve l*v + 3*p = -v + x, -v = -3*p + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112264245 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u**6 + 2 + 0*u**4 - 1\/7*u**7 - u**3 + 0*u. What is the third derivative of f(b) wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/z**6*z))\/((z\/(z\/(z\/((z\/(z**(-5)*z))\/z))))\/z))**17 assuming z is positive.\nAnswer: z**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*w - 22, -5*f + 2*w + 18 = 4*w. Suppose y - 2*j = -f*y - 1, 2*y + j - 11 = 0. Solve -d + 0 = y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5938653 tonnes?\nAnswer: 593865300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*g**2 + 1114*g**3 - 214*g**2.\nAnswer: 1114*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233827 and 957.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -131695286575.\nAnswer: -131695286561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25917.7783 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5292678898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - p + 2*p - 3*p + 3*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*c**4 + c**3*v + c**2*v**3 - 21*c*v**3 - c*v + 2*v**3 wrt c.\nAnswer: -180*c**2 + 6*c*v + 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*g - 2*n - 28, -3*g + 5*n - 25 = 0. What is the units digit of -5 - (-4 - (-6 - -5)) - g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 85139*s.\nAnswer: 85139*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -925?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -31 + 18 + -3 + 15\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62106?\nAnswer: 2, 3, 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2394 and 1026.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 33. Let o = x + 20. Let j = 2 + o. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*x - 28 = 0, -b + 2*x - 3*x + 8 = 0. Let g = -2 + b. Let a be 29\/g + (-6)\/12. What is the highest common factor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -4*r**3\/3 - 13. Let n(y) = -10*y + 66. Let u(b) = -b + 6. Let f(w) = 4*n(w) - 44*u(w). Give f(o(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13485 and 992?\nAnswer: 431520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -9. Let k = p - -3. Let o = 909\/5824 - 1\/448. Which is the fourth biggest value? (a) 2\/5 (b) 2\/7 (c) k (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763 = -3*l + 10*l. Let t = l + 249. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-8 + -4)) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 + 19*a - 1. Let n(i) = -4*i**2 + 11*i. Let s(k) = 3*b(k) - 5*n(k). Let x(f) = -21*f**2 + 11*f - 16. Calculate -11*s(j) + 2*x(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-3)\/66)\/(1376\/3784)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/432)\/(1 + (-2)\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -7 - 6) + 11. Let i(u) = 2. Let l(o) = o + 5. Let y(k) = f*i(k) - 2*l(k). Let w(c) = -15*c**2 + 8. Give y(w(d)).\nAnswer: 30*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11265 is divided by 750?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let k(m) be the second derivative of 0*m**2 + 0 - 13\/3*m**3 - 53*m. What is k(l(p))?\nAnswer: 52*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -35563\nAnswer: -14225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -402*k**2 - 381*k**2 - 414*k**2 - 362*k**2 + 1613*k**2. Let a(p) = 17*p - 5. Let r(j) = -42*j + 12. Let h(f) = 12*a(f) + 5*r(f). Determine t(h(v)).\nAnswer: 1944*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1122 + -7250673?\nAnswer: -7247551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 6*a - 12. Suppose -z - 24 + 3 = 3*v, -3*v - a = -2*z. Let l(j) = -4585 + 8*j + 4585 + j**2. Determine l(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*h + 110, -f + 4*f = 2*h + 68. What is the lowest common multiple of 8 and -15*(2 + f\/(-10))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 9617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Suppose 2*w - 36 - 8 = p. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 93. Put 1, 9, m, -3 in increasing order.\nAnswer: -3, 1, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*j + 34*j = 236 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -110. Let r = 14249 - 14122. Calculate the remainder when r is divided by y.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 799*z - 813*z + 2427*z - 815*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 31*o + 254. Let d be n(16). Solve d = -w - 13*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218127 and 31059?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q - 1 - 6 - 17*q - 6*q**2 - q**3. Let x be n(-7). Let i be -3*((-2)\/12)\/(2\/64). What is the highest common divisor of x and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118716291209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k + 4. Let g be y(7). Let p = g + 112. Let s = 92 - p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372741.\nAnswer: 3, 124247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 34 = -5*c, -5*c = -0*b + b - 18. Let i be (b - 6)*1*2. Solve -15 = 4*u - 5*t, -i*u - 12 = -3*u - 4*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11767*m**3 + 5*m**2 - 382?\nAnswer: 70602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7513, 8983, 10451, 11917, 13381?\nAnswer: 14843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 78300521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -1 - (292 + -299)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -220, -719, -1536, -2659, -4076, -5775?\n\"Answer: 2*a**3 - 171*a**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98542 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104571*c**5*k**2 + c**5*t - c*k**2*t - 18*c*k*t + 6*c*k + 4*k**2 - 2*k + 9 wrt c.\nAnswer: 2091420*c**3*k**2 + 20*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/20 - (-19)\/4. Let f be (0 - 3) + z*1. Suppose 2*x + 3*b = 85, -9 = f*b + b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.122 - -0.082. Let z = u - -4.34. Let x = 0.9 + -1. Sort 1\/7, z, x, 4 in increasing order.\nAnswer: x, 1\/7, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z*z)\/(z*z**(-2\/11)\/z)*(z**1)**(8\/7) assuming z is positive.\nAnswer: z**(25\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*r = -47, r - 67 = g - 5*g. Calculate the lowest common multiple of g and (-35)\/(-2) - (-3)\/6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 + 3*l**2 + 10*l - 3. What is the tens digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39500 and 175.\nAnswer: 276500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 5. Suppose 3*m + 5 = 2*m. Let i be b(m). Let c(d) = d**3 - 2*d**2 - 2*d - 3. Let p be c(3). Solve i*n - n - 5 = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.59 + 1.5899515. What is p rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/36112971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*i**4 - 5518*i**3 + 116893*i**2 wrt i?\nAnswer: 3024*i - 33108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 + 16*k - 19. Let x be a(-9). Is x\/((-4)\/15976) + (0 - 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*n + 7322 - 17520 = -147*n + 9962 for n.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**7\/126 + z**6\/90 + z**4\/12 + 9*z**2. Let k(p) be the second derivative of v(p). Factor k(i).\nAnswer: -4*i*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 8*v**2 + 20*v + 1. Let g be q(-10). Which is smaller: -3\/7 or g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 38 = -4 - 250 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*i**3 - 6*c*i**2 + 7*c*i - 335106*c + 33*i**3 + 11655*i**2 wrt i?\nAnswer: -12*c*i - 12*c + 198*i + 23310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 6*l + 2. Let w be f(6). Let v(s) = -37 + 4*s**2 + 37 + s + 6*s**w. What is the remainder when 24 is divided by v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 389 - 101. What is the highest common divisor of 36 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 52060190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + -1111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*f**2 - 41*a**2*f*s + 7952*a**2*j*s - 2*a**2 - 2*a*f**2 + 21*a*f*s + 34*f**2*j*s + 6*f*s - 2*j wrt j?\nAnswer: 7952*a**2*s + 34*f**2*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 651.9873ns?\nAnswer: 0.000000010866455","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(-1)*80445\/5190\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 1:20 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7400 divided by -1.\nAnswer: 7400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667725.\nAnswer: 5, 19, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 5*g**4\/12 - 5*g**3 - 35*g**2\/2 + g. What is a in n(a) = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from hhhhchhhhhhhhhhcch.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5773826 is divided by 360857.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 594*h = 595*h - 6, 5*j - 2*h = 33 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m, 86*l - m = 84*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 23\/5, 3, -0.3807?\nAnswer: -0.3807","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-40)*-2)\/((-250)\/(-625)). Which is the second biggest value? (a) -3\/7 (b) -1 (c) g (d) -11 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5415964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + -18 - (26 + (-53 - -118))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p, 0 = 3*r - p - 54. What is the remainder when 143 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711613.8 months to centuries.\nAnswer: 593.0115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -48?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 91*2)\/(-1). Let z(n) = 17*n - 166. Let b be z(10). Suppose -b*m = m + 5*q - 430, 2*m - q = c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 4*z, 5*z + 12 = -3*x + 35. Suppose -580 = z*m - 588. What is w in 4\/5*w**m - 4 - 16\/5*w = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4113 (base 5) to base 12.\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by -247.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 15 + 0*p + 5 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3786.05 - -5128200\nAnswer: 5131986.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 2. Suppose 4*z - 2*o - 12 = 0, -4 = -z - 0*z + o. Suppose 0*s = -z*s - 16. What is the smallest common multiple of i(s) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 461638600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 233, 349, 485, 647, 841?\n\"Answer: l**3 + l**2 + 92*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340699069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(21 - 23))\/((-15)\/(-2))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2448)\/(-1428))\/((-8)\/7 + 1). Suppose 0 = 5*s + 4*n - 115, -115 = -2*s - 3*s + n. Let i = j + s. Solve 4*z - i = 3*g, 0 = -0*g - 5*g - z - 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -249*z - 12186. Let j be i(-49). Solve -4*a + 2*p = -14 - 4, -5*a + 5*p = -j for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -192. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*60.6\nAnswer: 3.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -216.061*2414\nAnswer: -521571.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 16122868*p\/3 - 96737216\/9.\nAnswer: 2*(p - 24184304)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 + 2*j - 1. Let b be y(-3). Let c(r) = 13*r - 4*r + 45*r**2 - 6 - 46*r**b. Does 4 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91592078 from -0.3.\nAnswer: 91592077.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k - 3. Let t = -9 + 13. Suppose 0 = 2*d - 2, -2*g + 0*g + t*d = 0. Suppose -5*r + g - 22 = 0. Determine x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 3:44 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 14*u + 5*g - 1, -4*u + 10 = 2*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 5. Suppose z - 272 = -33*z. Suppose z*l = 21*l + 39. Let a(m) = -6. Calculate l*a(i) - 2*u(i).\nAnswer: 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 51. Let c(m) = -m**3 - 37*m**2 - 33*m + 84. Let i be c(-36). Let z be s(i). Is z less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863.3939 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75\/15*-4 - -79 and 1239?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-5)\/15*-1779. Let g = 1016 - x. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -75. What is the tens digit of (-4 + 6)\/v + (117 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134675534 to the nearest integer?\nAnswer: 11605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -14. Let a(k) = k**2. Let r be a(t). Suppose 0 = -4*u + 39 + r. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*p - 360 = -949*p - 0*q + 4*q, 3*q - 30 = -6*p + p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 119 = -5*b, 5*b = -0*t + t + 131. Determine y so that 4*y**2 + 158 + 241 + 69*y + 177 + b*y = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 4*c**2 - 5*c - 2. Let g be z(5). Calculate the common denominator of 3\/16 and -1 - g - 151\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 + 0\/(-2). Suppose 0 = -4*b - 0*c - 5*c - 23, x = 3*b - 3*c - 3. Let d be (2\/b)\/((-2)\/4). Solve 3*y - 6*y + d*i = 14, i + 19 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**6\/165 - h**5\/110 + h**4\/22 + h**3\/33 - 2*h**2\/11 - 27*h. Find l such that a(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*9\/(-5) + 2. Let b = 4.18 + -3.68. What is the third biggest value in 1, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1927710\/7 < -275386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84930 - -0.0764.\nAnswer: -84929.9236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16766 - 16746. Suppose 0*j - j = 5, -30 = -5*a + 3*j. Suppose -q + a*q - 63 = -3*m, 2*q + 5*m - 53 = 0. What is the remainder when q is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 706 + -709. What is the remainder when (2\/b)\/((16\/555)\/(-16)) is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 174, 719, 1540, 2565, 3722, 4939, 6144, 7265?\n\"Answer: -12*l**3 + 210*l**2 - l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-48)*175\/(-21)*(-4)\/(-130)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 1770, 2638, 3480, 4290, 5062, 5790, 6468?\nAnswer: 7090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 403, -3, 7, -4, -2156, 2, 3.\nAnswer: -2156, -4, -3, 2, 3, 7, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 121. Let i = 0 + 3. Suppose -5*a - 541259 = 5*k - 21284, -i*k - 519985 = f*a. What is a rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f + (2*f - 3 + 3)*(2 - 3 + 5))*(0 + 2 - 5)*(-1 + 2 - 2).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = h - 2*q + 3*q, h + 5*q = 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 474, 485, 510, 555, 626, 729?\n\"Answer: l**3 + l**2 + l + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 141, 152, 151, 120, 41, -104?\n\"Answer: -3*z**3 + 12*z**2 - 4*z + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 - 36 = -4*g, -14 = -2*r - 5*g. Let t be 2 + -1 + -1 + -1. Let p = -2 - t. Which is the closest to p? (a) 2\/7 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 21*f - 26. Suppose u + 30 = 2*a + 3*u, 5*u + 39 = a. Let j be h(a). Let v = -10 + j. Solve -d + v*d = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (35 - 31) + -39.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 34*b. Let g(p) = p. Give g(n(u)).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720865 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 11*u**7\/7 - 8*u**3\/3 + 22. What is the third derivative of x(l) wrt l?\nAnswer: 1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, 24, 0.3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*d**3*k**2*q**3 - 374*d**3*q**3 - 7*d**2*k**2*q**3 - 117*d**2*k**2*q + 2*d*k*q**3 - d*k*q**2 - 3*k*q wrt d.\nAnswer: -282*k**2*q**3 - 2244*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193537950 > 193537949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 47 - 6*c**3 + 48 - 98 as g + b*c + z*c**3 + n*c**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rruuourruoou. Give prob of sequence uur.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/(3\/(-1))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -443, -856, -1249, -1622, -1975?\n\"Answer: 10*c**2 - 443*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -25\/4. Let c = -141 - -985\/7. What is the closest to c in i, -1, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 8, t: 5, n: 2}. What is prob of sequence noo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:27 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26818*h + 14002*h - 22991*h - 9959*h to o + r*h and give r.\nAnswer: -45766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0 + 0)*(-3 - 1 + 0*r - 2*r)*(206 - 60*r**2 - 206).\nAnswer: -240*r**5 - 480*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 2. Let n(h) = h**2 - 33*h + 87. Let z be n(30). Let i(j) = -2*j - 1. Determine z*r(w) + 4*i(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407195509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -920, -3404, -7448, -13046, -20192?\n\"Answer: w**3 - 786*w**2 - 133*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let i(y) = y - y - d*y. Let v(x) = -19*x + 22*x - 1 + 1. Determine i(v(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 + 2*f**2 + 83 - 84 + 0*f + 0*f - 2*f**2 + (-1 + 2*f**2 + 1)*(0 - 1 - 1) - 2*f**2 - 5 + 5 + 4 - 4 + 2*f**2 - 2*f - f**2 + 2*f.\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {v: 3, y: 1, p: 2, r: 4, t: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 989*m**2*v**3*z - 4*m**2*z - 2*m*v**2*z + z wrt v.\nAnswer: 5934*m**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 divided by 109?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9 and -53\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i. Let y(q) = 27*q**2 + 10. What is x(y(w))?\nAnswer: -405*w**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 - 6585558*x**3 - 26342264*x**2 = 0.\nAnswer: -4, 0, 3292783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (660\/(-12375))\/((-6)\/5). Which is the nearest to -1? (a) -3 (b) m (c) -0.2 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.121 - -1.951. Let w = 1.83194 - r. What is w rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 47 = -77*g + 497. Solve -8*w - 15 = -13*w, 4*q = g*w - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + m + 3, -2*m - 6 = 2*z - 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -b - 5. Let p = b - 9. Solve -3*j - p*a = -5, -j + 4 = -3*a - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33731 divided by -117?\nAnswer: 33731\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y, -3*y + 4 = o + 19. Let j(p) be the third derivative of 0*p**3 - 6*p**2 + 0 + 7\/24*p**4 + o*p. Let r(b) = -b. Calculate j(r(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 477*n**2 + 6750*n - 7224.\nAnswer: -3*(n - 172)*(n - 1)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*t - 483*t = -8. Let d(k) = 4*k**2 - 4*k - 9. Let w(r) = 101 + r - 48 - 52 - r**2. Calculate t*d(a) - 5*w(a).\nAnswer: a**2 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 12. Let w be (3\/2 + -1)*-12. Let h = w - -6. Solve 3*j = -h*j - o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/11779 + 12139\/1413480. Let a(x) be the third derivative of 1\/20*x**5 + 0*x + n*x**6 - 1\/3*x**3 - 15*x**2 + 0 + 0*x**4. Determine a(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42450, 84901, 127352, 169803?\nAnswer: 212254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4179*j + 5310. What is the units digit of p(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3 + (13 - -11). Let q = 46 - z. Suppose -4*t**4 - 25*t**3 + t**4 + 81 + q*t**2 + t**3 - 73*t**2 = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/(r*r\/r**(-2\/11)*r*r*r))\/r))\/((r\/r**(-8))\/r) assuming r is positive.\nAnswer: r**(-31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 91177 + 91177 - 9*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4271 - 977. Is 183 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105273 is divided by 333.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + r**3 - 60 + 5*r**2 - 11*r**2.\nAnswer: r**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 45 + 3 + (1 - -13) - 7?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.468 - 6454847\nAnswer: -6454847.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisiswiiiqqwqqwdg. Give prob of picking 2 s and 2 q.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 11*q + 3. Let s(n) = 4*n - 1. Let u be s(3). Let b be h(u). Suppose -b*l = -3*j - 60, -25 = -4*l - 2*j + 31. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from mmwwmwwmwmlkwmmklwmk?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**(-1)*(h**(3\/2))**(-2\/141) assuming h is positive.\nAnswer: h**(85\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -29*i**5\/60 - i**4\/12 - 284*i**2 - i - 2. Let s = 11 + -9. Let o(h) = -s*h**2 + 0*h**2 + 2*h**2 + 2*h**2. Determine v(o(j)).\nAnswer: -116*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m - 3*m)*(-5 + 1 + 2 + 0 + 2 - 4 + (1 + 0 + 0)*(0 + 0 + 2)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 525571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -16831*i**2 + 4*i + 2. Let u(x) = -2*x**2. Determine k(u(q)).\nAnswer: -67324*q**4 - 8*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1086517*o**2*w + 104*o*w - 3*w - 695 wrt o?\nAnswer: 2173034*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56, 919, 3396, 8285, 16384, 28491, 45404, 67921?\n\"Answer: 133*d**3 + 9*d**2 - 95*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7297.1046ns in hours?\nAnswer: 0.0000000020269735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(-2*s**2 - s**2 + 2*s**2 + (5*s - 2*s - 5*s)*(-4*s + 5*s + s) + 0*s**2 - 3*s**2 - s**2).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d855 (base 14) to base 13.\nAnswer: -8054a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 402.6 - 405. Which is the second biggest value? (a) 0 (b) 3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 32305.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-6)*(-153)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 120. Find the third derivative of -z*u**2 - 26*u**2 - 15*u**3 + 33*u**3 wrt u.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z - 4*m + 112, 0 = 2*z - 2*m - 56. Let v = z - 20. Suppose v*w + 26 = 2*y + 3*w, 0 = 4*y - 4*w - 40. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/80 and -48\/6805.\nAnswer: 108880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j**2 - 60*j + 4. Let n be c(-6). What is the closest to -0.1 in n, 2\/11, 133?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*u - 6 = 0, -5 = -3*t - 4*u + 3*u. Let h(g) = 8*g**2 - 7*g + 7. Let y be h(t). Let d(q) = -q + 12. What is d(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 3*k + 4. Let s = 4 - 1. Let q be m(s). Sort 0, q, -5 in descending order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -1 + (12 - -12). Calculate the greatest common factor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 9. Let h(w) = -w + 5. Let g(b) = -7*h(b) - 4*v(b). Let o be g(-7). Solve -o = 4*k + d + 7, 3 = 3*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -126 (b) 0.7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3542*p. Let v(k) = 13*k**2. What is j(v(c))?\nAnswer: -46046*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37781433 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 164 = -3*q + t, 2*q - 120 = -2*t. Let k = q + -32. Suppose -4 = -5*a - k. Sort a, 4, 0.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -44 - 190. Let o = 34 + a. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 16*p - 73. Calculate n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131\/105 + 67\/35. Factor -1\/6 + 1\/6*c**2 + 2\/3*c**3 - o*c.\nAnswer: (c - 1)*(c + 1)*(4*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a factor of 217588295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -11) + 17 + -5 - 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.1 + -11.6. Let g be (8\/42)\/((-2)\/(-3)). Which is the nearest to 2\/3? (a) g (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2555*0.4\nAnswer: -0.1022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 3597 + 4537 = 0. Suppose -4*o = -3*o - 20. Calculate the smallest common multiple of g and o.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(5 + (sqrt(245) - (sqrt(245) - (sqrt(245) + sqrt(245)*-2)))*2 + (sqrt(245) - (sqrt(245) - sqrt(245)*-1)) + 1 + (0 + sqrt(245))*-4))**2.\nAnswer: -433476 + 21168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 2. Let d = -10 - p. Let i = d - -28. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1 + 9 = -4*q, 4*q = 5*h - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5612.02 and 0.2?\nAnswer: -1122.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -40. Let n be -20*(3 - 2) + -3. Let r = n + 29. What is the smallest common multiple of r and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*b = -0*l - 54, -4*b + 12 = 0. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 17*k - 1. Let g be n(15). Let d be ((2 - 2) + 1)*-18. Let s = d + g. Calculate the highest common divisor of s and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y - 4 = -47*y - 3*q, 0 = 2*y - 4*q - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.084 - 10.884. Let z = p + 10. Let d = 1 + z. Which is the second biggest value? (a) d (b) 2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 + -226.00119. Round i to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2559 = -14*j - 2574 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13089 - 8393. Suppose -q - 5*v + z = 0, 8*q - 3*v = 12*q - 18784. Suppose -30*k + q = -22*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -88, -73?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -453481, -453479, -453477, -453475, -453473, -453471?\n\"Answer: 2*h - 453483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 780622557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110977 < 110977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380 (base 15) to base 11.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b178b (base 15) to base 11.\nAnswer: -166a882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3659113, 3659114, 3659115?\n\"Answer: p + 3659112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-14))\/((-112)\/(-294)). Determine o so that -3*o**4 + 3*o + 0 - 9\/4*o**3 - i*o**5 + 3*o**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -49*b**4 - 12*b**2 - b - 5142. Let t(s) = 97*s**4 + 21*s**2 + s + 10285. Let a(j) = -7*i(j) - 4*t(j). What is the derivative of a(c) wrt c?\nAnswer: -180*c**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - 2) + 4)\/2. Let g(r) = -r**4 + r**2. Let i(a) = -5*a**4 + 9*a**2. Let d(c) = z*i(c) - 6*g(c). What is the third derivative of d(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 20. Suppose -l*x + 7 = 2. Suppose -4*q = x + 3. Are 1\/24 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 14*q - 65 = 0. Solve -z - 2 = q*s + 13, -5*s + 3*z = 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 50 = 2 - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -47\/3284, 3, 2\/3, -4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15d (base 14) in base 9?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 1, 0.7, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*z**5 + z**5 + 0*z**5 + (0*z**3 - 2*z**4 + 0*z**3)*(0 + z + 0).\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584 + 570 + 21*r**2 - 2282 + 564 + 564.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -45. Let h be (-144)\/(-42) + (u\/(-21) - -1). Suppose h*n + 5*c - 77 - 86 = 0, -223 = -4*n - c. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(((sqrt(136) - (sqrt(136) + sqrt(136)*1 + sqrt(136) + sqrt(136))) + sqrt(136))*3 + sqrt(136) - sqrt(136))\/sqrt(8))**2*-3.\nAnswer: -66096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 44 = 69. Let t be z\/(300\/(-352)) + -6. Let y be 4\/(-8)*1*-8. What is the third smallest value in t, -3\/25, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 491?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o - 5*o + 165 + 55 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n - 42. Let t be r(14). Is ((-1)\/(-3))\/(t\/3970428) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 136*k**2. Let i be w(-1). Let h be i\/(-12)*(-3)\/2. What is the third derivative of -10*x**4 - h*x**4 + 21*x**4 - 4*x**2 wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiie when four letters picked without replacement from {i: 9, e: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 - 3*r + 6. Let c = 19 + -22. Let v(z) = 3*z**2 + 3*z - 5. Let g(f) = c*v(f) - 2*m(f). List the prime factors of g(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 242. What is the units digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 146*p + 990. Give u(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 0. Let j = o - -11.1. Round j to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.211 + -5275989.\nAnswer: -5275989.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 233301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12169\/133200 - -1\/925. Is t less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 2*h - 1. Let o be j(1). Find q such that -3*q**5 - 54*q - 70*q**4 + 52*q**3 + 5*q**5 + 54 - 36*q**2 + 52*q**o + 0*q**5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1006459993 and 6545?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-210))\/(26550\/(-13276) - -2). Let c = l + -476. Calculate the common denominator of (-4)\/5*(-21)\/(-8) and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -392, -572, -770, -992, -1244?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 19. Suppose -2*z + 42 = 4. Let t = l + z. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17207.\nAnswer: 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001110010011010 (base 2) in base 15?\nAnswer: -134051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -107*t**3 + t - 2*t**3 + t**2 - 57*t**3 + 1. Let b = -21 - -20. Is h(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 23 + 77. Let k = j - 15. Suppose -2*z - 2*z = -m - 73, -61 = -4*z + k*m. What is the remainder when 54 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1499 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k - 16. Let q(f) = -f + 3. Let a(y) = -y**3 + 10*y**2 - 10*y - 2. Let b be (1485\/(-44))\/5*8\/(-6). Let w be a(b). Determine w*q(t) - 2*i(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 16) in base 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 239\/4 + (-1)\/(-4). Suppose -2*m + 5*s + 3 = 8, -m - 10 = -4*s. Let h be (-35)\/m*(-12)\/7. Calculate the highest common factor of c and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4.8. Let u = -0.36 + 0.06. Let y = -1.1 + 1. What is the smallest value in b, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 312 - 95. Suppose 0 = w - 4*h + i, w - 2*h + 0*h + 209 = 0. What is the common denominator of (0 + w\/(-12))*-1 and -27\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l. Let k be v(1). Suppose -3*a + 5*a - 20 = 4*n, -a = k*n. Suppose 4*u + w = 20 + 16, -w + a = u. Solve 2*s + 4 = u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*v + 4*r, 0 = -2*v + 2*r + r + 17. Calculate the greatest common factor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**2 + 2*t - 1. Let g(q) = -11*q**2 + 2*q - 1. Let i(o) = o**2 + 48*o + 87. Let n be i(-46). Calculate n*g(a) + 6*r(a).\nAnswer: -5*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48201, -47932, -47663, -47394, -47125?\n\"Answer: 269*d - 48470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 59\/6?\nAnswer: 59\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421179 divided by 33.\nAnswer: -12763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/(189\/(-4060)) + 12\/(-27) and 16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 + 9*t + 9. Let k be l(-4). Find the third derivative of -39*j**2 - 3*j**3 + 3*j**3 + 2*j**k - 30*j**5 wrt j.\nAnswer: -1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 21891.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.2 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 102\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.8. Sort 6\/11, k, -8 in ascending order.\nAnswer: -8, k, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 + (-5)\/(-20). Let q(i) = -20*i + 11*i + 16*i. Let j(c) = c. Let w(y) = o*q(y) + 4*j(y). Let l(t) = 2*t. What is w(l(f))?\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101002210 (base 3) to base 4.\nAnswer: 1303011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 + 370. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 20.2 (c) -8\/5 (d) 0.4 (e) -5\/2 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.67 take away 108?\nAnswer: -106.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3886 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -684 + 39109?\nAnswer: 38425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(1 - (-4)\/(-2)). Let a(s) = -s**3 - s**2 + s. Let l(j) = -5*j**3 + 3*j**2 + 12*j + 5. Let z(q) = -4*a(q) + l(q). What is the units digit of z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 985564, 985395, 985226, 985057?\n\"Answer: -169*y + 985733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 4*i + t, i - t = -5*t + 40. Let o be ((-266)\/21 + 6)\/((-4)\/12). What is the highest common divisor of o and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34037 - 48317 = 992*b - 30770 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u*u\/u**(1\/5))\/u))**(-40)\/((u**(-6)*u)\/u*u**6) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398 - -397.99993. What is n rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y**2 - 17*y - 20. Let n(g) = 29*g**2 - 31*g - 37. Let q(m) = -6*n(m) + 11*o(m). Determine q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 2*g**3 + 0*g**3 + (-23 + 23 - 52*g)*(3*g + 5*g**2 - 3*g) to the form d*g**2 + c + b*g + t*g**3 and give t.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6466, 7514, 8558, 9598, 10634, 11666?\n\"Answer: -2*g**2 + 1054*g + 5414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096969.\nAnswer: 3, 59, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 - 13 = 4*w, -2*w = -3*c - 13. Suppose -4*y + w*l = -12, 5*l - 22 = -0*y - 3*y. Solve 0 = -y*b + 2*g + 14, 5*b + 1 = 4*b - 4*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:00 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*j**4 - j - 35.\nAnswer: 1188*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f. Let r be a(-1). Let w be 7*2 - (-11 + r). Factor -w*n - 4*n**3 - 7*n - 12 + 17*n**2 + 16.\nAnswer: -(n - 2)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6591*n - 1318*n - 1346*n - 1308*n - 1307*n - 1314*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 4*p**2 - p**2 - 7*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333143 (base 7) to base 11.\nAnswer: -190a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eweq when four letters picked without replacement from qeqqwwqeee?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upsdrpudplsuddsdppuu. Give prob of sequence uppu.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/90 and 103\/1649484.\nAnswer: 8247420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/27)*a)\/a**21*(a*a**(10\/9))\/(a\/(a*a**(2\/9))) assuming a is positive.\nAnswer: a**(-478\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173516372*m**4 + 564766560 with respect to m.\nAnswer: 694065488*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 109.76. Let g = -0.24 + p. Which is the third biggest value? (a) 0.5 (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011111011111001101 (base 2) in base 14?\nAnswer: 585c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 10\/9*f**3 + 3 + 2\/9*f**4 - 8\/9*f + 4\/3*f**2. Factor u(l).\nAnswer: 2*(l + 2)**2*(4*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/2))\/t*t**(-16))\/(t**(-3)\/(t\/t**(8\/9))) assuming t is positive.\nAnswer: t**(-205\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -96. Solve -5*m - 12 + 2 = o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -60. Let b = -36 + x. Suppose -b*t = -13*t + 94. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/3 - (-6)\/18. What is the nearest to v in 3, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**2 - 1773270*v + 157224324645 = 0.\nAnswer: 177327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 3393*r - 63015. Determine k(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5485 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - -1) - (-12 + 2 + 8 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*s = -0*s - 36, s = -3*j + 32. Suppose -11*b = -j*b + 3. Let g be (22\/(-14) - -2) + b\/7. Solve m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32489 or -32490?\nAnswer: -32490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 2. Let m(g) = -g + 1. Let h(y) = -3*m(y) - n(y). Is h(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -985450, -985588, -985666, -985654, -985522, -985240?\nAnswer: -984778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - a**2 - 2. Suppose 3*f = h + 8, f = 5*h - h + 10. Let z be k(h). Let d be 7 + -4 + (-10)\/z. Sort d, -4, -0.1 in descending order.\nAnswer: -0.1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 19*y**2 + 2*y + 13. Let p be n(-19). What is the remainder when 27 is divided by (-20)\/p*(-15)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*t = -190, -4*g = -2*t + 6*t - 124. What is the hundreds digit of 5356\/g + (-4)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 2. Let l be g(-3). Let u(b) be the third derivative of -b**4\/3 + b**3\/6 - 48*b**2 - 261. Determine u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 13*h**2 - 23*h - 8. Let n(y) = 2*y**2 + 3*y - 1. Let d be n(-3). Let r be v(d). Determine q so that r + 1\/2*q**2 - 1\/2*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9396)\/(-8) + (-2)\/(-4). Suppose -u - 1182 = -4*u - 3*a, 3*u = 4*a + d. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 222*l + 844. Determine a(-7).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 2289*r**2\/4 + 3423*r\/2 - 1140.\nAnswer: 3*(r - 760)*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -b + 300 - 34, 5*i = 5*b - 1345. Let o = 17 - 12. Suppose -o*d = -b + 30. What is the greatest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2057) + (sqrt(2057) - sqrt(2057)*-1) + sqrt(2057).\nAnswer: 5 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2427*d + 24233. Give j(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 6\/(-12)*(2 + -4). Suppose 0 = 2*n + 4, j + j - c = 2*n. Factor -3\/4 - 1\/4*f**j - f.\nAnswer: -(f + 1)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 2. Suppose -w*j - 18 = r + 2*j, r + 13 = -3*j. Differentiate -3*c**3 + r*c**2 - 2*c**2 - 3 - 1 with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 304969*a*l**3 - 2*l**3 - 28*l**2 + 37*l wrt a?\nAnswer: 304969*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 + t**4\/8 - t**3\/6 - t**2. Let v = 6 + -4. Let l be m(v). Solve -2*z + 7 + l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.141 - -0.101. Which is the third smallest value? (a) -2\/7 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 6 - 8 + (2 - 1 + 1)*(-10 - 5 + 2))*((19 + 3*v - 19)*(4 - 3 - 4) + 2*v + 0*v - v + (-4*v + 2*v + 4*v)*(-5 + 3 + 3)) to o*v + x and give o.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 3*s**2 + 2*s - 3. Let y = -11 + -20. Let p = y - -34. Let q be c(p). Solve -4*v = -j - q - 5, 3*v - 21 = -3*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43882198 divided by -410114\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(3*k**4 - 2*k**4 + k**4)*(-22 + 34 + 37).\nAnswer: -392*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*y + 117*y + 4. Solve j = y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/5*(-5 - ((-88)\/32 + -2)). Solve 0 + 3*v**3 + 9\/5*v**2 - 27\/5*v + h*v**4 = 0 for v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26041508 and 548.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-4))\/((-3)\/12). Let z = -4 - -3. Let g = w + z. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8688 - -0.1052. Let a = -26 + 25.974. Let o = i - a. What is the closest to o in 1\/2, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 57. Let o = x + -34. Let s = -9 + o. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 12*q + 3558. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 - 1375\/9. Let d = -352 - -354. Sort d, u, 0.11, -0.5 in descending order.\nAnswer: d, u, 0.11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5057 = 16*j + 449. Suppose -41067*l**2 + 41875*l**2 + j*l**4 - 752*l**3 + 31 - 28*l**5 + 25 - 372*l = 0. Calculate l.\nAnswer: 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 730 - -1502. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 2 + 0 - 5 - 3 + (0 + 2 - 3)*(-4 + 3 + 2))*(-2*q**2 + 2*q**2 + 2*q**2) to i + p*q**2 + w*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 145 = 3*r, -r + 2*d - 4*d = -53. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 9*o**2 + o + 17. Let d be s(-9). Let z = -11 + 21. Let q be (z\/2)\/((-1)\/(-4)). What is the highest common factor of q and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 3852.\nAnswer: 42372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*m**3*v**3 - m**3*v + 58*m**3 + 351*m**2*v**2 - 17*m*v**3 wrt m.\nAnswer: 348*v**3 - 6*v + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 4. Let y(s) = -s - 2. Let x(a) = -6*b(a) - 11*y(a). Let l be x(-7). Factor 3\/2*k - 3\/2 - 3*k**3 + 3*k**2 + 3\/2*k**l - 3\/2*k**4.\nAnswer: 3*(k - 1)**3*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8*s**2 + 18*s - 8. Let l be x(4). Let v(a) be the third derivative of -1\/2*a**4 - a**3 + l + 21*a**2 + 0*a. Differentiate v(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*h - 297*h + 54 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)\/(-2*(-4)\/(-392)). Is s\/(-35) - -1 - 221511\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/(-210))\/(1\/((-4)\/(-10))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250\/14 + 2\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 668 or 2\/100567?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 139 - 3*y - 2*y + 6*y**2 + 144. Let c = 5 + -2. What is the units digit of q(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, 177, 2, -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2510 - -7676. Let o = j - 82587\/16. Find the common denominator of o and 38\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 297. What is a(16)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55, 2, -59, -134, -229, -350, -503, -694?\n\"Answer: -v**3 + 2*v**2 - 52*v + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 5*u**2 - 4*u + 1. Let m be r(4). Let q = -51.9 + 52.1. Let g be (-9)\/8*2\/(-3). What is the closest to m in g, 4, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640914981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30654690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 6194402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4 = 2*u, -4*y + 2*u + 12 = 0. Suppose 0*f = -f + y. Let x(o) = o**3 + 7*o**2 + 2*o + 14. Let v be x(-7). Solve -f*m - 4 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.16 - 17. Let x = q + 0.04. Let b = -13 - -10. What is the second biggest value in b, x, 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*i - 612 = 232, 3*j = 2*i + 633. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -0.0274.\nAnswer: -12.0274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 292500000 to the nearest 1000000.\nAnswer: 293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317892 is divided by 5653?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*m - 8. Suppose 0*g + 3*g = -4*w + 185, 5*w + 3*g = 235. Suppose 3*a = m*a + w. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 33 + 32*i)*(-2 - 1 + 4)*(-1421 - 337*i + 1421).\nAnswer: -10784*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**3 + 13*p**2 + 8*p + 12. What is the thousands digit of v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 9)\/((-1)\/(-2)). Solve j - 2*j - a = -x, j + 3*x = 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 1:27 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087 = -2*w - 47. Suppose 11*u = u + w. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3263.\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeeq. What is prob of sequence eqe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let w(n) = 84*n**2. Give w(u(q)).\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2 + 20*b + 4. Let t be k(-9). Solve t*c = 6*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16313 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/995928 and 41\/7323?\nAnswer: 995928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 - (-7 - -14)\/(609\/2958).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20792163.\nAnswer: 3, 7, 101, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 0.4, -0.2, 16, -2.\nAnswer: -60, -2, -0.2, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + d**2 - 8*d**2 + 0*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 2 = 7*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*10.849.\nAnswer: -4.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3642301768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4, 0*y + 4*o - 52 = -4*y. Let v be (-12)\/(1 + 2) + y. Solve -h - h = -v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3*r**2 - 12550*j*r**2 + 58908*r**2 wrt j?\nAnswer: -6*j**2*r**2 - 12550*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/66*10164\/168.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 2*d**5 + d**3)*(-11 - 4 - 17).\nAnswer: 64*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = -8. Let o(j) = j + 6. Let z be o(-3). Let a(v) = 4*v**2 - 15. Let w(t) = 3*t**2 - 16. Let r(s) = k*a(s) + z*w(s). Differentiate r(q) wrt q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from mssmmmsmsm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - n**3 - n**3)*(-2 + 0 + 3)*(0*n**2 + 3*n**2 - 5*n**2) + (727*n**2 - 61*n**2 + 140*n**2)*(n**3 - 3 + 3).\nAnswer: 810*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + 1\/(5\/(-15)). Solve -4*c + 2*t - 20 = 0, c + 3 = -b*t - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -46, 4, -5, -71 in descending order.\nAnswer: 4, 2, 1, -5, -46, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -16, -g + 2*g - f + 3 = 0. Solve g = -2*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 5:23 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Suppose 5*m + 10 = -b*r + 8*r, 0 = 2*r - 3*m - 4. Solve 4*k = -r*y, -2 = -3*k - 3*y - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 402 - 1609\/4. What is the biggest value in 22, -0.4, x?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 16*u - 9. Give q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*b*t**4 + b*t**3 - 53*b*t**2 + b*t - 5*t**4 - 16 wrt t.\nAnswer: 504*b*t + 6*b - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 538*o**2 + 3*o - 1. Let u be h(2). Let n = 1167 - u. Round n to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let l(h) = -h**2 - 18. Let w(x) = 2. Let u(n) = -n + 1. Let p be u(3). Let z(m) = p*l(m) - 18*w(m). What is r(z(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1311 (base 10) to base 6\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 32\/5 of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -580 + 579. Which is greater: p or -3\/277?\nAnswer: -3\/277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3418905*u**4 + 1880313 wrt u?\nAnswer: 13675620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -461725?\nAnswer: -461727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = -24. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9036, -15859, -27234, -43167, -63664, -88731?\nAnswer: -118374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(396))**2 + -4 - 1*(-1 + (sqrt(396) - -2*sqrt(396))**2).\nAnswer: -3170 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + 196 + -208.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -29. Suppose -14 + 47 = 3*g - 2*k, 0 = k + y. Find the third derivative of 18*s**5 + 5*s**2 - 9*s**2 - g*s**2 wrt s.\nAnswer: 1080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10122 (base 3) to base 5\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - -114?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - (-20 + -3)) + (-13 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*n**2 - 101*n**3 + 109*n**3 + 340*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (10 + -12 + 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5))**(3\/4)*d**(6\/7)\/d**(4\/7))**(-38) assuming d is positive.\nAnswer: d**(-1273\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x = 70*x - 21024. What is the remainder when 7343 is divided by x?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 18*a**2 + 66*a + 37. Let q be b(12). Do q and -316\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/15 - 2*g**3\/15 + 2*g**2\/3 - 2*g\/5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06487 and -71.\nAnswer: -70.93513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m. Suppose 3*p = -4*v - 5 - 3, 5*p = -4*v - 16. What is the units digit of o(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 33*b - 20. Let r(z) = -z**2 - 17*z - 11. Let m(c) = 6*h(c) - 11*r(c). Determine m(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -4*f, 0 = -f + 2*s - 3. Let p be (-4 + 0 - -5)*-1. Put -2, f, p, 1 in ascending order.\nAnswer: -2, p, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 4.2. Let k = -10 + 7. What is the nearest to -2\/3 in a, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002152755096 rounded to five decimal places?\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/17 + 5276*m**2\/17 + 31602*m\/17 + 47376\/17 = 0.\nAnswer: -2632, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*o - 24*o + 856. Suppose -z - 528 = -2*v - 3*v, 4*v = -2*z + o. What is the remainder when v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c, -u + c = -3 + 6. Let t(j) = u*j + 3*j - 3*j. Let b(n) = -2*n + 757 - 4*n + 5*n - 757. Determine b(t(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.3, -2\/5, -42, -0.1, 376?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 8*u - 1. Let b be z(8). Let n be b + 6 - (-9)\/(-3). Solve s - n = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5681 rounded to one dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120760*x**3 + 3*x**2 + 6*x - 220450094.\nAnswer: -362280*x**2 + 6*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 0*o - 3*o**3 - 11 - o + 0 in the form h*o**3 + c + t*o + k*o**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 2*n**3 + 0*n**2 + (1 - 1 - n)*(0*n**2 + 0*n**2 - 3*n**2))*(-3 - 3 - 3)*(-7 + 3 + 0).\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 1. Let g be o(5). Suppose 408 = g*d - d. Suppose -22*f + d = -18*f. 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: Solve 0 = -2*q - 4*c, -120*q + 115*q = -3*c + 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54519 is divided by 329.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(7 - 7 + w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = 32*k - 52*k - 52 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356.114 meters in kilometers?\nAnswer: 2.356114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(-1 + sqrt(72))*-3)**2 - -6*-4*(sqrt(72) + 0)**2*3.\nAnswer: -2591 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 = -3*i, -54 = -5*a - i - 2*i. Let s(h) = h**3 - 3*h + 2 + a*h - 10*h**2 + 3*h**2 + 4. What are the prime factors of s(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3425 - -3473. Let f(i) = i**2 - 5*i. Calculate the lowest common multiple of x and f(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108*(4*(-23)\/(-23))\/(-2*3)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 4 - 47)*(-17*t - 17*t + 3*t)*(-1 + 0 - 1).\nAnswer: -5456*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = 19. Suppose p*k = -5*f + 91153 + 38842, -2*f + 2*k + 52002 = 0. Suppose f = 25*v - 23*v. Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**4 + 3*j**3 + 7*j**2 - 7*j - 4. Let p(f) = 3*f**4 + 6*f**3 + 15*f**2 - 15*f - 9. Let w(q) = 4*p(q) - 9*y(q). Factor w(d).\nAnswer: 3*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)\/(23\/(-8) + 3). Suppose 93 = n*l - 163. Suppose 31 + l = 7*f. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:24 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28801997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6612526 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1415*f**2 - 2795*f - 16. Determine a(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(6\/13))\/(w**(-1\/2)*w))\/(w**(-9\/5)\/w**(-4)) assuming w is positive.\nAnswer: w**(-281\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:25 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 824\/(-12) - 4\/12. Let r = p + 102. Let x = -33 + r. Which is smaller: 1\/42 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-25.17\nAnswer: -5.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-105))\/((-90)\/130800). Let n = t + 238\/9. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75353893 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/24 (b) 0.04 (c) 5 (d) 0 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17109849 + 11976897363\/700. Let u = -8\/1561 + 150056\/39025. Let m = u - b. What is the common denominator of -43\/6 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30\/17 (b) -0.325 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(1\/60))**(-32)\/((f*f**(2\/9)*f*f**(-5))\/(f**(-4\/7)\/(f\/(f**(-1)*f)))) assuming f is positive.\nAnswer: f**(436\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.002 + -0.002. Let l = 114 + -149.7. Let i = v + l. Which is greater: i or 0.08?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5563785*v**2 - 639847*v - 66?\nAnswer: -11127570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400584389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 304?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((7 - 3) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 32*v. Let o be x(-2). Let l be (-4)\/14 + (-14892)\/(-231). Let n = l + o. Which is the smallest value? (a) n (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110774990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266944 litres in millilitres?\nAnswer: 26.6944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102417 is divided by 198?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33032*o - 3*i = -33037*o - 54, -8*o - i - 42 = -3*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 2. What is z(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -975\/2 + 501. Find the common denominator of z and (-404)\/5858 + (-1053)\/290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 5\/4, -671, 0.0125, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from nnnnnnnnbnnnb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -71*d + 10136. Calculate z(145).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 + 2665*f**4 - 38165*f**3 + 68315*f**2 - 32820*f = 0 for f.\nAnswer: -547, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from rgjrjrjrjjgrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61776\/6006)\/((-4)\/(-14))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3252546, -3252676, -3252806, -3252936, -3253066, -3253196?\n\"Answer: -130*b - 3252416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 40*q**2 - 128*q + 45. Let u be x(-43). Calculate the remainder when ((u - 4) + 1)\/(2\/(-2158)) is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 32*l. Let b be 2 + 4\/(-5 + 4732\/1576). Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 97678\/8 - (26\/(-8) + 3). What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1819927.\nAnswer: 5459781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u + 1. Let f be r(-2). Suppose z - 2*q = 4*z - 33, 4*z - 3*q - 61 = 0. Let n = z + f. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 34. Let c be f(14). Let w(x) = -10 - 36*x + 35*x + 4. Calculate w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60*(-46)\/4140*222\/4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13177476 and 1776.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4 - (275\/10)\/1)*-2. Calculate the highest common factor of 6850 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735 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: What is the second derivative of -k**3*x**2 + k**3*x + 9*k**2*x**3 - 481*k**2 - 19*k*x**3 - 2*k*x - 2*k wrt x?\nAnswer: -2*k**3 + 54*k**2*x - 114*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -10 + 8. Which is bigger: r or -4\/179?\nAnswer: -4\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2565 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.201 rounded to 0 dps?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 83249.\nAnswer: 4\/83249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:21 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**3 + 18*u. Let a(t) = -3*t**3 + 7*t. Let g(z) = 12*a(z) - 5*d(z). What is the second derivative of g(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -34*p**3 + 32*p**2 - 4*p - 4. Let x(u) = -u**3 + u + 1. Let v(l) = 3*i(l) + 12*x(l). What is the third derivative of v(c) wrt c?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155742*3.\nAnswer: 3467226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/4 + -5)\/1. Factor -a - 3*m - 9\/2*m**2.\nAnswer: -(3*m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*x + 5*x**2 - 1 + 362*x - 184*x)*(-4*x + 4*x - 3*x).\nAnswer: -15*x**3 + 9*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3782767 to the power of 1\/2, to the nearest integer?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82760463 to the nearest integer?\nAnswer: 9097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b9 + 6?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**(-4)*r*r**(3\/5))**(-5\/4)*(r*(r**(-3)\/r)\/r*r*r*(r**(-2)\/r)\/r*r)\/(r*(r*(r*r**(-1\/2)*r)\/r*r)\/r*r\/(r*r**4)) assuming r is positive.\nAnswer: r**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x**4\/2 - x**3\/3 - 8*x + 97. What is the third derivative of l(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 5 - 10)*(0*c**3 + c**3 + 4*c**3 + (-3 - 3 + 4)*(5 + 3*c**3 - 5) + 6*c**3 + c**3 - 3*c**3).\nAnswer: 51*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g - 1. Let a be x(1). Let l = 9 - 13.3. Let w = -4 - l. What is the closest to 1 in -2, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)\/q)**(-1\/12)\/(q*q\/(q\/(q\/(q*q**(-1)*q*q))*q))**(-1\/6))\/((q*q\/(q\/(q**(-1\/2)\/q))*q**(5\/4))\/(q*q\/(q**(-1\/4)\/q)*q)**25) assuming q is positive.\nAnswer: q**(3797\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-20)*-6)\/(24\/(-20)). Let b = -3.04 - -0.04. What is the nearest to -1\/2 in -2, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(2448)*5 + sqrt(2448))*-5 + -3 + -6*(sqrt(2448) + -2))*-6)**2.\nAnswer: -1057536*sqrt(17) + 114255504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 1631120*l - 16311208\/5.\nAnswer: 2*(l - 4077802)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + n - 539 = 0, 9*s - 168 = 8*s + 2*n. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217952.0806 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 564958050 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + w - 1)*(w - 7 + 7 + (10*w - 2*w - 11*w)*(2 - 1 + 1) + (4 + 1 - 6)*(0*w - 4*w + 3*w) + 3*w - w - 3*w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 11*s**2 + 23*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 589661 and 19939?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39748, -76795, -113842, -150889, -187936?\n\"Answer: -37047*j - 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2092712 to the nearest 1000.\nAnswer: 2093000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179.857, 33\/2, 4 in decreasing order.\nAnswer: 179.857, 33\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -194. Sort 3, y, 0.4 in descending order.\nAnswer: 3, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-5) - 70\/35. Suppose r = -2*r + 9. What is the closest to g in 1, r, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201322333133 (base 4) to base 12.\nAnswer: -2b8a07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/5 - 14*a**4\/5 + 12*a**3 - 106*a**2\/5 + 83*a\/5 - 24\/5.\nAnswer: (a - 8)*(a - 3)*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**3 - 14*z**2 - 4*z - 13. Let g(f) = 15*f**3 - 28*f**2 - 7*f - 25. What is -6*g(b) + 11*w(b)?\nAnswer: -2*b**3 + 14*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by 37\nAnswer: -82\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/(r**(-9)*r*r*r))\/(r*r*r**(-1\/4)*(r\/r**5*r)\/r)*(r**(-2\/17)*r*r**(-2\/5))**(-37) assuming r is positive.\nAnswer: r**(-3093\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 17 = -5*j, -5*y + 4*j = -4*y. Suppose -3*m + 4*i = 20, -5*m - 4*i + 10 = -2*i. Solve -y*s - 4 + 12 = m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -112. Let q be (-7*46\/(-1449))\/(3\/5). Is q < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 + -141. Let d(f) be the first derivative of 0*f**4 - 1\/2*f**v + 0*f**3 - 1\/5*f**5 + 0*f + 1. Find the second derivative of d(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101602718 divided by 5.\nAnswer: 101602718\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 193\/29?\nAnswer: 193\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -19. Is (699\/r)\/((-2)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2104 divide 82082164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*m + 489187 = 502455 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 380\/(-12))*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:12 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18226 is divided by 9002?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615*a - 195 = -614*a. What is the tens digit of 4\/52 + (-213705)\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 + 8 - 3 - 676*g**2 + g - 11723*g**3 - 501*g**2 - 565*g**2 wrt g?\nAnswer: -70338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5794611, -50, 1.\nAnswer: -5794611, -50, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 104*a + 2. Let v be k(2). Let g = -134 + v. Suppose -y + 4 = -g. What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 19*w**3 - w**2. Let f(s) = 19*s**3 - s**2. Let l(g) = 4*f(g) - 3*h(g). What is the third derivative of l(k) wrt k?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(32))\/(sqrt(6) + (sqrt(150) - -1*sqrt(150)))*6*-4.\nAnswer: -12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from ddder?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -5 - (-7 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/21*33\/25. Let i = -3133608489\/350 + 8953176. Let u = y - i. Calculate the common denominator of u and 139\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxwwlxlxwkw. What is prob of sequence gl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (15\/4)\/((-3)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-156) + 15\/((-585)\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250489.26 rounded to the nearest 100?\nAnswer: -250500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15174, 60471, 135616, 240327, 374322, 537319, 729036, 949191?\nAnswer: 1197502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 141.50056 and -10849.\nAnswer: -10707.49944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -203*s**3 + 23*s**2\/2 - 79*s. Is k(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 10, y: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7738524 less than -7738524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 8840474\nAnswer: -6\/4420237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5907753 and 2826.\nAnswer: 11815506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 733385.8 litres?\nAnswer: 733385800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 8*i + 12*i**3 - 5*i to x*i**2 + n*i + s*i**3 + w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1477, 1466, 1449, 1426, 1397, 1362, 1321?\n\"Answer: -3*q**2 - 2*q + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 3:31 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108605973 - -108606728.0000248. Let u = q + -755. What is u rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2715400 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3258 + -2727. What is the greatest common factor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 47 = n - 4*z, -5*n + 5*z + 260 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5. Let u(w) = -4*w + 15. Let i be u(5). Let p(l) = l + 6. What is i*p(z) + 6*j(z)?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = -23*u + 889. What is the greatest common factor of u and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 32*k - 1. Let z be u(32). Let g(y) be the second derivative of -y**3\/6 + y. What is g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605813520 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12438)\/9674*(-2)\/(-6)*16\/(-6).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25285 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 2801\/1276 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 911*m**2 - 12*m - 20. Let j(y) = -y**2. Let r(p) = -6*j(p) + k(p). Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 17*y + 4. Let b be q(-17). Suppose b*c - 111 = -15. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 322083458 - 322083458.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12000398 by -5.\nAnswer: 12000398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 75 = -2*w, 4*w + w = -3*c + 183. Calculate the common denominator of 32\/7 and ((-105)\/w)\/(3\/(-8)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -9*i - i. Suppose -5*x + 15 + i = 0. Solve -x*z = -p + 25, -3*p + 0*z = -z - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 707 and 9.\nAnswer: 6363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2213033133223 + -10?\nAnswer: 2213033133213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1582 - -1582. Solve c + y = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, 1\/4, 9, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (4 + -1) - (6 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 968680233 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743 a factor of 21067249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/2, -0.04725 in decreasing order.\nAnswer: -0.04725, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y, -15*o - 844 = -17*o + 3*y. Solve 12*u - o = -425 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 6 - (9 - (16 + -7 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 68 = -2*h. Let c = -16 + h. Suppose n - 2*q + c = 0, -2*n + n + 2 = -q. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10902900 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 - 114*b - 1.\nAnswer: -114*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 3\/2*y**2 - 25\/2*y = 0.\nAnswer: -9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + s, -2*s - s = 4*k - 17. Suppose k*o - 10600 = 3*o. Round o to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -24. Suppose 0 = n*y + 5*k - 37, 6 = 3*k - 0*k. Calculate the remainder when 26 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-8) + 0)\/(-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9368 or 2?\nAnswer: -9368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 84 - 32 = 7*d. Suppose 2*w = -4*b + w - 7, -w - 5 = 3*b. Put d, -1, -3, b in increasing order.\nAnswer: -3, b, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(1539) + 3)**2.\nAnswer: 54*sqrt(19) + 1546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/52608 and -14\/33.\nAnswer: 578688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3091223, 6182442, 9273659, 12364874, 15456087, 18547298?\n\"Answer: -d**2 + 3091222*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mppm when four letters picked without replacement from mppmpppp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.0848059 to 2 decimal places.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, -4, -2\/3, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/27 and -163\/29914434.\nAnswer: 29914434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 - 2*n**3 + n**3 + 20*n + 5*n**3 - n**3 - 10*n**2 to c*n**2 + o*n**3 + d*n + f and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*t - 25*t - 5 + 3)*(-862*t - 16*t**3 + 862*t).\nAnswer: 112*t**4 + 32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 2. Let g(j) = -j**2 - 8*j + 45. Let h be g(-8). Let r be 5\/(-20) - h\/12. Let i(v) = v - 2. Determine r*i(k) + 3*n(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 31901*d**3 - 3553332*d**2.\nAnswer: d**2*(d - 32012)*(d + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19387.9 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/2113, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607 = -4*x - 3*t + 605, -3*x - 16 = -5*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 5.2. Let w = -0.1 - f. Let u = -5 - w. What is the closest to 1 in 5, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/3 + 80*k**3\/3 + 2131*k**2\/3 - 12950*k\/3 - 5000 = 0?\nAnswer: -25, -1, 6, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23648791.9999938 + 23648794. Let b = -2.3 + 4.3. Let k = d - b. Round k to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 2*b + 1. Let q be j(1). Suppose -t = -4*g + 21, 3*g - 2*g = -3*t - 11. Sort -2, q, g.\nAnswer: -2, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:27 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)\/sqrt(108))\/(sqrt(567) + -3*sqrt(567)) - 2*(3 + 2*sqrt(7))*-2*-2.\nAnswer: -865*sqrt(7)\/54 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-11)*d**(-5) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -20.1 (b) -2\/25 (c) -10 (d) -1\/2 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -7\/3, 5 in ascending order.\nAnswer: -7\/3, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23170 + -6971. Is y != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 431584 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*q - 2*w = -350*q + 44, 3*w + 90 = -4*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.356923ug to milligrams.\nAnswer: 0.008356923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12761, -3, -5, 5, -1 in increasing order.\nAnswer: -12761, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25954, -25906, -25766, -25492, -25042, -24374?\n\"Answer: 7*u**3 + 4*u**2 - 13*u - 25952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*i - 187*i = 110. Let m(b) be the third derivative of 0*b + 3\/40*b**4 + 0 + 2*b**2 + 1\/100*b**i + 0*b**3. Factor m(r).\nAnswer: 3*r*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 164665.\nAnswer: 4\/164665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 16*k**5\/3 + 3392*k**4\/3 - 11092*k**3 - 309188*k**2\/3 + 2599580*k\/3 + 957372 = 0.\nAnswer: -221, -9, -1, 19\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14170 is divided by 337?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71344.9 and 56.\nAnswer: 3995314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745 and 65411?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 266\/1995 - (1 - 27943\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 - 2.578. Let a = 0.192 - i. Let l = 0.17 - a. What is the second smallest value in 3, 0.22, l?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 41?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206402417 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099374131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8372558*y - 2980237?\nAnswer: -8372558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80695 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 - 405\nAnswer: -404.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(1\/16)*u\/(u\/((u**(-2\/19)\/u)\/u)) assuming u is positive.\nAnswer: u**(-51\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 40*q**3 - 3*q**2 - 21*q + 136. Calculate the remainder when h(6) is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**3 - 31*t**3 + 74*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.028 (c) 1 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -37389 (c) 2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 7*y + 11. Let t(q) = -q**2 + 8*q - 12. Let x(w) = 3*o(w) + 4*t(w). Determine x(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:16 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let h(f) = -164*f**2. Give n(h(s)).\nAnswer: 26896*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 + -120. Does 13 divide ((-28)\/8 - -5)\/(h\/(-2832))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1180 = 4*s - 668. Let n = 2304\/5 - s. What is the nearest to 1\/3 in n, -1\/7, -3, -22?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547761 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-9)*51579\/(-5731)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 24. Let j = -7 + i. Solve -g + 2*u = 4, -j*g + 15 = 5*u - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568391 divided by 2011\nAnswer: -568391\/2011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f - 28 = 0. Differentiate 3 - 4*x + f*x + 12 wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m, 4*m - 893 - 1367 = -5*p. Suppose -2*i = i + 4*h - 339, 3*h = -4*i + p. Suppose -5*v + 3*l + 146 = -v, 3*v = 4*l + i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - -4) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d + 4. Let p(w) be the third derivative of 1\/6*w**3 - 1\/24*w**4 + 0*w - 2*w**2 + 0. Let k(z) = -4*p(z) + s(z). Let h(a) = 3*a. Calculate h(k(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4 + 5 + 6 - g. What is the units digit of u(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 3:24 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-26)*1590\/2385?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - w + 1. Let s(p) = -13*p**2 + 4*p**2 + 25607 - 11*p - 25713. Let u(z) = -4*j(z) - s(z). Differentiate u(y) with respect to y.\nAnswer: 2*y + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.8382mg to nanograms.\nAnswer: 900838200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 26023, -3, 3 in ascending order.\nAnswer: -3, 3, 26023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.385.\nAnswer: 0.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31299112*l**3 - 5*l - 372069939?\nAnswer: 93897336*l**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235643*b**2 - 6*b + 1401679.\nAnswer: 471286*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/74430 and -15\/8.\nAnswer: 297720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*a - 2*b, a + 351 - 334 = -4*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 23. Let n = -0.1 - -0.2. Which is the smallest value? (a) -1 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -68\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 35 = 5*m, 2*y - 1106 = 5*m - 1136 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -0.36?\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -89. Find the second derivative of -8*q - 38*q**2 + 3*q + 1 - 4*q - x*q wrt q.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172 = -9*u - 1127 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, u: 1, z: 2, k: 2, w: 1}. What is prob of picking 2 w and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -11079, 5 in ascending order.\nAnswer: -11079, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 26. Let x(n) = -n - 5. Suppose -8*y + 208 - 80 = 0. What is y*x(l) - 3*a(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/18)\/(2\/18). Is z not equal to 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5380 - -5380. Solve 99*x - 89*x - 40 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-27)*(-14)\/(-70). Let p = -0.3 + 0. Which is the second biggest value? (a) 1\/9 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*w**5 + 382921*w**3 - 4697917*w**2 - w wrt w.\nAnswer: -3720*w**2 + 2297526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 7*q**3 + 36 - 19.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2110661.\nAnswer: 7, 61, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 2)\/(6\/10). Suppose u*o - z - 3 - 8 = 0, z + 1 = 0. Suppose -4 = -o*c + 14. Calculate the greatest common divisor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 68. Solve 5*a - f - 16 = 2*f, -5 = -4*a + x*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 59355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = 9*r - 30, -4*r + 41 = 5*m. Suppose 3*a - 9 = 3. Solve 4*f - 16 = 4*n, 4*f = 4*n + m*f - a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7.3, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -4\/9, 7 in ascending order.\nAnswer: -4\/9, -0.01, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1726982.7 minutes to hours.\nAnswer: 28783.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/70*(-1 + 344\/24). Let i(b) be the first derivative of 1\/7*b**4 + 2\/7*b + 2\/5*b**5 - 4\/21*b**6 + 2\/7*b**2 + 1 - z*b**3. Let i(p) = 0. What is p?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -22*b**2 + 33*b**2 - 9*b**2. Let i(a) be the first derivative of 0*a**2 + 1 + 0*a - 14\/3*a**3. Calculate i(t(v)).\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3612*m = -3604*m - 120. Solve 22 = m*p + 67 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/1050 - j**6\/200 + j**5\/150 + 9*j**2\/2 - 2*j. Let k(s) be the first derivative of i(s). Factor k(a).\nAnswer: a**2*(a - 2)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -5 - 0) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-8 + (-1 - (-13 + 6))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 144*a**2 - 837*a + 278. Calculate x(-138).\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 120, 190?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -198, -284, -322, -288, -158?\n\"Answer: 4*z**3 - 114*z - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 + 11.77. Let d = w + -10. What is the second smallest value in 0, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1\/5)\/(71244\/(-148425)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146 by -15632.\nAnswer: -73\/7816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132070 + -93457. What are the prime factors of o?\nAnswer: 3, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6199497 and 2268.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 5. Let n be x(6). Which is smaller: n or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*j - 0*j - 17, 8 = 3*t - j. What is the highest common divisor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/27 + 0 + 74\/9 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**3 - 1\/12*l**4 - 15*l**2 + 0*l + 0. Let k(r) = 2*r + 16. Determine k(m(d)).\nAnswer: -4*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 10. Calculate the common denominator of n*(-1)\/(28\/6) and (-4)\/(-72)*67 + -3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 983680 and 31320.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 3\/2)*2. Let u(p) = p - 1. Let c be u(s). Suppose -11 + 1 = -2*y, -y + 25 = -c*a. What is a rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12821 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/96 + 7*o**3\/48 + o + 288. Suppose f(l) = 0. Calculate l.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 27*l**3 - 12*l**2 + 7*l + 6. Let c(n) = 3*n**3 - n**2 + n + 1. Let t(o) = -6*c(o) + s(o). Let a(k) = 8*k**3 - 5*k**2 + k. Give 7*a(b) - 6*t(b).\nAnswer: 2*b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-90)*6*(-9)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = i, -2*c = 3*i - 10 - 9. Suppose 0 = -i*u + 9 + 11. Let t(b) = 4*b - b - u*b + 3*b. Let p(l) = -16*l**2. Give t(p(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (621\/(-414))\/(12\/(-4))*1\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252404 and 801?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 21*x**2 + 2*x - 39. What is p(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168306?\nAnswer: 2, 3, 28051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.202775 centuries in decades?\nAnswer: 42.02775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-22)*(-60)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97832, 195768, 293764, 391820, 489936, 588112, 686348?\nAnswer: 784644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (247085 + -7 - -12)*(-1 - 3\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let q(t) be the first derivative of -4*t**3 + 10. Determine q(k(y)).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -19) + (5 - -1) + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + v + 2. Let d be o(2). Let a = -1 - 6. Let z = d + a. Solve -5*g - 3 = 4*f, -5*g + 2*f = -2*f - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 6. Suppose -4*f + 172 = x - 5*x, 45 = f - 3*x. Let q = f + -27. What is the remainder when h is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 380618 and 36539328.\nAnswer: 36539328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-1*4 - (sqrt(121) - sqrt(121)*-1*-1))\/(6*(sqrt(11) + 6*sqrt(99))))**2.\nAnswer: 44\/3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3566, 3654, 3758, 3884, 4038, 4226, 4454, 4728?\nAnswer: 5054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2013569 centuries to decades.\nAnswer: 2.013569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = -151 - 138. Let z(q) = q**2 - 2*q - 3. Let d be z(6). Let v = d + h. Calculate the lowest common multiple of 9 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199100 rounded to the nearest ten thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2)\/(-2) + 0. Let f = -16257 - -16254. Let q = -13.9 - -2.9. Which is the third biggest value? (a) n (b) q (c) f (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -240?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*r - 217 - 231*r + 446*r)*(-3 - 1 + 3) + 5 - 5 + 7*r.\nAnswer: 12*r + 217","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 + -171. Suppose 0 = 4*x + 15 + j. Let d(f) = 6*f + 2. Let u(b) = 5*b + 2. Give x*d(r) + 5*u(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -21469028 and -1.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 36 = 0. Let b = -7 + w. Suppose -b*t = 2*t - 4. Solve -4*m - 11 = t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139\/40 + 31\/8. What is the nearest to 1\/2 in -5, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 4*u + 0*u + (2*u - 4*u + 0*u)*(0 + 1 + 1) - 2 - u + 2 + (-2*u - 4*u + 4*u)*(1 - 7 + 3) - 2*u + 4*u + 0*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18194 is divided by 1808.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49420333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 9*r + 12. Let o be t(-6). Let b = o - 25. Let n(w) = w**3 - 6*w**2 + 7*w - 4. Calculate n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 841909.\nAnswer: 841909.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188896.\nAnswer: 2, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(1 + 0 + 0)*(5 + 15 - 79).\nAnswer: -118*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -435*y - 9. Let w(p) = 218*p + 5. Let c(b) = -3*i(b) - 5*w(b). Is c(2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.18 - -52.18. What is the closest to -0.4 in h, 21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = h + 6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 49*d + 9 = 0. Solve -d*v + 2*v - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaavaqaqaqaa. Give prob of picking 1 v and 2 q.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 16. Let b(n) = 4*n**3 + 79. What is b(v) + 5*q(v)?\nAnswer: -v**3 + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -6*w + w, s = 4*w + 11. Let l(t) = -2*t**2 - 11*t + 2. Let v = 7 - 3. Calculate the remainder when l(s) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 212 in ascending order.\nAnswer: -2, 3, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, d: 9, j: 4}. What is prob of sequence jw?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795, -3171, -7129, -12669?\nAnswer: -19791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.3 (b) 2 (c) -4\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 14*h**2 - 15*h. Let o be -7 + 11 - 19\/1. Give x(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 8*q + 10. Suppose 6*g - 28 = 2*g. Let n be h(g). What is the second biggest value in n, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. What is the units digit of 5 + -4 - (-9 - l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 11*y**2 + 15*y + 33. Let n be o(-12). Let g = -1.5 - 0.5. Which is the third smallest value? (a) g (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 - 0.659. Let z = p + -4.35. Sort -4, 4\/5, z.\nAnswer: z, -4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 * 254\nAnswer: -44196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1541914 from 0.585.\nAnswer: 1541914.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 5754?\nAnswer: 5761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/4*a**5 + 0 + 0*a**3 - 1\/2*a**2 + 0*a**4 + 3*a. Find the first derivative of d(g) wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-24))\/((-619)\/3). Let o = d - -62559\/6190. Let z = -12842\/975 + 3\/650. Find the common denominator of z and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 20, -254 = 5*o + 4*g. Let d = 68 + o. Is (d\/4)\/((-4)\/((-456)\/3)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19759 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6578*l**3 - 4183*l**2 + 2090*l**2 + 2093*l**2.\nAnswer: 6578*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.9 - 4. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -16075?\nAnswer: -3\/16075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 1048 = -7*h + 749, 0 = h - 4*s + 57 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39737537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = r + 3*t, 2*t + 62 = -4*r. Suppose 7*y = -2*y - 216. Let s be (-1 + r\/(-4))\/((-3)\/y). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14257 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -95. Suppose -204 = -2*w - x*d, 0*d = 3*w - d - 306. Calculate the smallest common multiple of w and 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16937*g**2 + 1828*g**2 - 11925*g**2 + 7315*g**2 as x + b*g**2 + r*g and give b.\nAnswer: -19719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 209*o**3 - o - 1. Let r be t(-1). Let d be r\/(-133) - (-1)\/7. Let 6\/7 + d*f**3 - 10\/7*f - 2\/7*f**4 - 4\/7*f**2 - 2\/7*f**5 = 0. What is f?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*f - 30 - 90 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -35*l + 38. Let a be (-2390)\/(-38) - l\/361. Which is bigger: 64 or a?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/3172319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -184*x**3 + 3*x + 2. What is the hundreds digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286812198 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10011101001111111110 (base 2) to base 15\nAnswer: -cac99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3785?\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:53 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394126?\nAnswer: 2, 197063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -404 - -293. Is -111 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 - -136. Suppose -3*x + l*x = -v + 630, 2*v - 312 = -x. What are the prime factors of x?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:23 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 882 and 490.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 776*k**2 - 8124*k - 7344.\nAnswer: 4*(k - 204)*(k + 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5226 is divided by 1542.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -24*m + 12. Let i(s) = -11*s + 5. Let o(p) = 3*f(p) - 7*i(p). Let j(q) = -q + 1. Let k = -74 - -70. Give k*j(b) - o(b).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -26*d - 3\/20*d**5 - 2*d**4 + 3 - 15*d**2 - 17\/2*d**3. Factor j(w).\nAnswer: -3*(w + 1)*(w + 2)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15 - 2*v + v**3 - 3*v**2 + 2*v + 2 - 19. Suppose -2*d + 3*d - 3 = 0. Let w be 2\/(2 - d\/2). Give l(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*o + 17, 0 = -5*o + 5*y + 154 - 119 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q + 7. Let a be g(0). Let n = -52 + 60. Suppose 0 = -2*w + n, -2*x + 334 = -a*w + 2*w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3541 + 1?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 9, 6 in descending order.\nAnswer: 9, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*sqrt(1100)*-3 + (5*(sqrt(1100) + sqrt(1100)*-2) + sqrt(1100) - sqrt(1100)) - (-6*-2*sqrt(1100) + -1 + sqrt(1100) + -3)))**2.\nAnswer: -1320*sqrt(11) + 1197904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**7\/105 + h**6\/30 - h**5\/30 - h**4\/6 - 6*h**2. Find f such that r(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 114811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 50. Let l be 951\/(-15) + t + 12\/(-20). Let o = l + 142. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*r - 295 - 6, r = 4*a + 72. Is r less than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*u*z**4 - 19*u*z + 128442*u + 29484*z**4 wrt z?\nAnswer: -408*u*z**2 + 353808*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854653529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 1098414?\nAnswer: 34050834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 - -8 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 4674 = 16*l. Calculate the remainder when 426 is divided by l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13758701 (base 9) to base 4\nAnswer: -122003130100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**4 - 13. Let x(q) = -3*q**4 - 4. Let c(g) = 3*d(g) - 8*x(g). What is the first derivative of c(v) wrt v?\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*g + 132 + 68, 5*w + 200 = -3*g. Let s = -2 + -4. What is the units digit of 1*w\/6*s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.3, -1\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 255153?\nAnswer: 255150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(3 - (2 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-seven quarters of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3674741ml?\nAnswer: 0.0003674741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 79528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -5 (b) -3 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1)*-6*-5)**2 - (sqrt(68) - (sqrt(68) - (sqrt(68) - sqrt(68)*3*-4 - sqrt(68))) - sqrt(68) - sqrt(68))\/sqrt(4).\nAnswer: 1790*sqrt(17) + 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21345888.\nAnswer: 2, 3, 43, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59942 and 170.\nAnswer: 299710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 11*x - 5*a = 4, -2*x + a = -12. Suppose -751 - 677 = -x*m - 5*l, 2*m = -4*l + 708. What are the prime factors of m?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 3 + 135*g**3 - 33 + 95*g**3 - g**2 + 2*g.\nAnswer: 230*g**3 - g**2 + 2*g - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 38 + 4 = 0. Let w = -10 + v. Suppose m = -t - 2*t + 2, -2*m = -5*t + w. Let p(r) = -r - 1. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-28)*1*-5*1. Suppose 4*b - 6*b - t = -132, -b + y*t = -66. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/(-70))\/(44\/110)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875600 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 352*t + 1879. List the prime factors of g(4).\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 44. Let n(y) = -21*y**2 + 965*y + 1. Determine n(i(g)).\nAnswer: -84*g**4 - 5626*g**2 - 83115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 507 and 136890?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1132.5 + 1088.607. Let f = -0.107 + k. Let w = -44.0000152 - f. What is w rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y**5 - 40*y**4 - 9*y**5 - 20*y**5 - 64*y**3 = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**3 + 74*s**2 + 34*s - 276. Determine d(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - 5*i - 7*i + 5*i to y*i + r and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 27*d**2 + 1. Let f = -19454 - -19456. Let r(p) = 26*p**2. Give f*z(v) - 3*r(v).\nAnswer: -24*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 973 and 3753?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75924 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510942?\nAnswer: 2, 229, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*d + 22, -d + 0 = -2*t - 2. Suppose -21 = -3*w - d. Solve 2*i - 9 = -w*k, -4*i - 20 + 2 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -1 (c) -5 (d) -2\/47 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33524 divided by 34.\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 692644 and 5332?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -17256064?\nAnswer: 189816704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*d = 170*d + 75. Let l be ((-80)\/28)\/((-1)\/28). What is the highest common divisor of d and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089280083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + -2 + sqrt(99)) - (sqrt(99) + 1 - sqrt(99) - sqrt(99))*6)**2*4*5*-2.\nAnswer: -144000 + 8640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 2, c: 7}. Give prob of sequence mc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-30)\/9. Let a = k + 27. Let y = 76 - a. What is the remainder when y is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 3*k**3 + 6*k - 10*k + (4*k - k**3 - 4*k)*(2 + 1 - 5) to l*k + p*k**2 + x + i*k**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/84360 and 161\/1096680.\nAnswer: 1096680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h + 2*h - 3*h + (0*h + 5*h - 2*h)*(-3 - 1 + 2) + h + 4*h - 3*h - 8*h + 7*h + 12*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**3 + 43*h**3 - 36*h**3 - 28*h**2.\nAnswer: -43*h**3 - 28*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*3*5\/(-405)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15021 + -1038?\nAnswer: 13983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 + 818575\nAnswer: 818574.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92711027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -1\/3*s**3 + 2*s - 1\/2*s**2 - 1. Calculate the remainder when z(0) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6264558 and -5410378.\nAnswer: 854180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 7. Let a be 102\/34 + (-4 + 0)\/(-2). Let f(k) = -4*k + 10. Calculate a*f(y) - 7*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7866 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4253 + 3304*k + 4*k**2 - 3132 + 2564 + 11413 = 0.\nAnswer: -824, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(12)\/sqrt(4) + 0)**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -34. Let f(a) = 4*a - 10. Let r be f(g). Let i be -7*24\/r*-1. Solve p + i = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b + 12. Let x(d) = -24*d - 40. Let a(z) = -10*i(z) - 3*x(z). Let g(t) be the third derivative of -25*t**4\/24 - t**2 - 20*t. Give a(g(j)).\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1459 + -1453. Let x = -50 - -90. Suppose -2*u + x = -0. What is the smallest common multiple of w and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 92430\nAnswer: 5545.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 175514153*b**4 + 337960770 wrt b?\nAnswer: 702056612*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 4 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4527.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9444261 or 9444264?\nAnswer: 9444264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/1 - (-92)\/2. Suppose -573 + i = 6*d. Let o = -74 - d. Solve -3*z = 4*m - o, 3*m - 1 = -m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**2 - 5*r**2 + 4*r**2 + (-4 - 3 + 5)*(38 + 12 - r**2 + 88)*(0 + 0 + 2).\nAnswer: -3*r**2 - 552","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from jjaajjjjjw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*y + 4*y. Suppose 0*b - 65 = -y*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12685, -12684, -12683, -12682?\n\"Answer: j - 12686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:28 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3509.9, -2\/11.\nAnswer: -3509.9, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*y - 2741 = -11645 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 3*u + 6835. Let l = u + -890. Suppose -3*n = i - l, -5*n + 1001 - 206 = 3*i. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 1. Let i be n(1). Suppose 11*q - i*q - 1164 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 32\/7 (b) -8 (c) 51651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d + 0*d**4 + 0*d**6 + 0*d**3 - 5*d**2 - 23\/336*d**8 + 0 + 1\/210*d**7 - 9\/10*d**5. Find the third derivative of i(r) wrt r.\nAnswer: -1380*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1320 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1891, 7552, 16993, 30214, 47215?\nAnswer: 67996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2914 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2382 - 2382. Which is the smallest value? (a) -2 (b) 1\/2 (c) 19 (d) k (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -i + 5*y, -2*i + 8 - 11 = -3*y. Suppose i = 2*d - 4 - 10. Solve 0 = 9*m - 2*m + d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -53, -5, 511, 2 in decreasing order.\nAnswer: 511, 2, -2, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.61362 + 3.386444. Let v = b - 4. What is v rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6341 + -4?\nAnswer: 633b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49777248 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 8*r**2 - r**2 to g + l*r + c*r**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.0519.\nAnswer: -0.1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, 4 in ascending order.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:00 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7239\/(-4826)*(-188)\/(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1268*y + 81153. Calculate b(-64).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 34 = -7*r, 0 = 119*r - 122*r + 4*c + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(0*p + 3*p - p) - 59*p - 28*p - 16*p)*(-2*p**4 - 2*p**4 + 3*p**4).\nAnswer: 107*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 - 2*i + 5. Let n(x) = -4*x**3 - 3*x**2 - 7*x + 16. Suppose -147 = 4*d - 151. Let s be d\/2 - (-870)\/(-60). Determine s*g(f) + 4*n(f).\nAnswer: -2*f**3 + 2*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21928 and 21928.\nAnswer: 21928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 7\/(-17 - -10) + 66*23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 50*m**3 - 41*m**2 - 15*m + 247. Let t(r) = 28*r**3 - 20*r**2 - 8*r + 124. Let o(q) = -7*t(q) + 4*x(q). Factor o(h).\nAnswer: 4*(h - 5)*(h - 3)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(24\/(-30))*3\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1940075073 to the nearest integer?\nAnswer: 44046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)\/s)\/s**(-5)*(s**2\/s)**(-4\/23) assuming s is positive.\nAnswer: s**(662\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 838488*h*j - 7*h - 2841182*j + 2 wrt h.\nAnswer: 838488*j - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**4\/12 - m**3\/2 + 2*m**2 - 2*m. Let q be z(-8). Let d = 94 + q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 51. Let v be (-2)\/(-6) - r\/(-6). What is the highest common divisor of v and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35706 and 2705.\nAnswer: 178530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -44. Suppose 151 = 3*k + 2*k - 3*m, t = -2*k + 2*m + 62. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122823554 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 56714*h + 566962. Give n(-10).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/120 + p**5\/6 + p**4\/3 - 5*p**3\/3 - 33*p**2. Determine n(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33030\/105 + 6\/14. Suppose 21*m - l = 12*m. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -70 + -5 + 34 + -1 + -73?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*b**5 - 2*b + 67*b**5 + 8*b wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -50. Put 5, 4, 3, d in ascending order.\nAnswer: d, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, -0.08, 3\/4, -2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025443176 a multiple of 3063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w**(-2\/3)))\/(w\/((w\/(w**6*w))\/w)))\/(w*w\/w**2)**(-50))\/(((w*((w\/(w**(-2\/13)\/w*w))\/w)\/w*w)\/w)**38)**(4\/3) assuming w is positive.\nAnswer: w**(-629\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzhvzzvvlzzmy. What is prob of sequence hvzl?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*(-3*sqrt(704) - sqrt(704)) - sqrt(704)) + -5)**2 + 5*-3*(sqrt(704) + sqrt(704) + 1 + 4).\nAnswer: -960*sqrt(11) + 158334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 z when three letters picked without replacement from zztpttszcc?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Let d(p) = 2*p**2 + 2 + p - p**3 - 5*p**2 + 0*p**f. Give d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(0 + -1)*5. Let j = o - -3. Let a(c) = -5*c**3 - 11*c**2 + 21*c. Let t(x) = -x**3 - 2*x**2 + 4*x. What is j*a(z) + 11*t(z)?\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x + 0*x)*(32 - 32 - 4*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/217)\/(1188\/294 - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2432) - sqrt(2432))\/sqrt(2).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a factor of 182977380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:25 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.407 + 2.593. Let x = 348 - 347.9. Which is the closest to 1? (a) x (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22414169, -44828298, -67242415, -89656514, -112070589, -134484634?\n\"Answer: l**3 - 22414136*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*((-5 - -2) + 2). Suppose -a = -3*p + 2*p. Let d = -2 - -4. Solve 2*u - 8 = p*t, d*t + 4*u - u = -7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 404 = 1388. Suppose -g = -10*y + 66. Let i = 423 - 296. What is the remainder when i is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 748 = 58. Suppose -2*l + 1360 = -o. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 3)*(u - 3*u + 0*u).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 6) - (-17 + 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3274\/5 - -655. Determine y, given that -1\/5*y**2 + 3\/5*y**3 - g*y**5 - 2\/5*y + 0 + 1\/5*y**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - h**2 + 3*h**2)*(1684*h**3 + 22 - 360*h**3 + 22 - 44).\nAnswer: -2648*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1003 and 276061?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.028 (b) 305 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - q + 423 = 0, -4*r = -5*q + 3*q - 330. Suppose 0 = -b - 3*a + 25, 6 = 2*b - 2*a - r. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26876874.\nAnswer: 2, 3, 37, 121067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 3. Let b(p) = -6*p - 7. Let q(k) = -3*b(k) - 7*h(k). Let i(u) be the third derivative of u**4\/8 + 498*u**2. Give i(q(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 n, and 1 i when four letters picked without replacement from {s: 2, i: 6, v: 3, n: 2}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1848)\/60 + 4\/5. Is q <= -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4) - (-6)\/(-4)) + 57. Let b = -46 + o. Solve -3*p - b = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 + j + 11. Let l be (-7 - (0 - -1))\/(-1). Suppose -4*a - l = 0, -2*a = -s + a + 6. What is the tens digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -28. Solve 2*b = l - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:51 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -0.061.\nAnswer: 0.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnm when three letters picked without replacement from mmrbrbnnbmm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174141001?\nAnswer: 11, 7243, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*v + v - 21, 5*x - 67 = 4*v. Solve 3*i + 6 = x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3107122*m + 189*m**2 - 3107122*m - 12*m**2.\nAnswer: 177*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24533103.\nAnswer: 3, 7, 1168243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000148885 to six decimal places.\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. Let g = 0.4 + -0.5. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.206 - -0.306. Put -2\/9, -1, y, -5 in descending order.\nAnswer: y, -2\/9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 19. Let a be x(-14). Solve 0 = -a*w - 31 + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5*y**2 + 79*m**5 + m**2*y + m*y**2 - 493*y wrt m?\nAnswer: 120*m**2*y**2 + 4740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/3 in -0.3, 4\/3, 51649?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 70, -1, 0.09, -10, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3977 + 3972 + 3971 - 21605 - 5*a + 9685.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + -0.9. Let h = 600\/23 - 26. What is the smallest value in f, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32709 - -32709.041402. What is q rounded to 4 decimal places?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*650\/50*(-152)\/(-208).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5 (b) 215 (c) 4\/5 (d) 3.2 (e) 0.35 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1890499, -1890520, -1890571, -1890664, -1890811?\nAnswer: -1891024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 6*y - 36 = 0. Suppose 4*b - y*b = -868. Calculate the remainder when 556 is divided by b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 474*u - 444*u - 497640. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-26)\/(-8) - (-276)\/368.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1523*28728.\nAnswer: -4375.2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*4*(4 + (sqrt(1377) - sqrt(1377)*-4*1 - sqrt(1377))))**2.\nAnswer: 1036800*sqrt(17) + 79372800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2160)\/(-156))\/(-60)*(-39)\/18. Let o = -13.1 - 2.9. Which is the closest to o? (a) -2 (b) h (c) 0.2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w = -103954 - 26198. List the prime factors of w.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6408, -2, -2\/2647 in descending order.\nAnswer: 6408, 1, -2\/2647, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*s + 4*s - 78, s = 3*v - 138. Let g = v - 36. Calculate the remainder when 34 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {a: 3, y: 5, o: 2, t: 5, e: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let m(c) = 6*c - 3. Let a(i) = 5*h(i) - m(i). Let u be a(-2). Suppose 2*y + 2*y = u. Solve y = 4*f - 2*r - 0 + 6, 3*r - 9 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1377) - -2*sqrt(1377)) + 5 + sqrt(1377) + -2 - (3 + (4*sqrt(1377)*2*2)**2).\nAnswer: -352512 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q - 65 = -4*f - 354, 9*q - 7*f - 110 = 7*q + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.398 + -20.27. Let b = -0.098 + -14.902. Let f = b + q. What is f rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -5, -36257, -1, 1 in descending order.\nAnswer: 72, 1, -1, -5, -36257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -4, 9 in decreasing order.\nAnswer: 15, 9, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*i**2 - 10398*i + 11*i**2 + 10398*i + 3 + 1 to h*i**2 + d*i + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 791568.651 - 791979. Let t = u + 411. Round t to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*f - 9, 0 = -2*q - f + 4*f + 3. Suppose -q*b + b + 64 = 0. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11600 and 10.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 4*t + 4. Suppose -4*p - t*w = -w + 4, 16 = -4*p + 2*w. Let i be (3 + 0 - 3)\/(3 + p). Sort 1, 2, i in increasing order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 7) to base 6.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14395*b**2 - 33605*b**2 + 15081*b**2.\nAnswer: -4129*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 1866870*w**2 + 7467540*w - 7467560 = 0 for w.\nAnswer: -373378, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -18531832.\nAnswer: 1\/842356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-336501)\/198)\/(-103).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711806.\nAnswer: 2, 17, 47, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + g. Let d be b(1). Let t be 0*(d + (-1)\/2). Suppose 0 = r - t*r. Solve 3*o + 2*o = 4*j + 12, 3*o + j - 14 = r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1282 + -1280. Solve 0 = 3*s + 4*r - 5, -3*s + d*s - 2*r + 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*(sqrt(171) + 0) - ((sqrt(171) + 3)*6 + sqrt(171))) + -3)**2.\nAnswer: 1296*sqrt(19) + 14427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - 15*-158*(-5 - -6). Calculate the greatest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178641200*t - 178641324*t + 13020 = 0 for t.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/55)\/((-186)\/(-2))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -199 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.059 + 21.559. Round k to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/1903350 and 149\/66617250.\nAnswer: 66617250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419 - -609. Suppose z = 5*k - 395. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -985 + 12811\/13. Which is the nearest to 1? (a) 0.1 (b) l (c) 4 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let o(r) = -2. What is 2*f(w) + o(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -106, -133, -160, -187, -214?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyywzfrfqfyfwrrr. What is prob of picking 2 r and 2 w?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 432 - 122. Let z = 20883 + -20533. Suppose -z - c = -15*i. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*w + 16*w - 11*w + (-4 + 4 - 3*w)*(13 - 31 + 19) to the form j + v*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 11*n - 9. Let b be k(-10). Let f be b\/2*(4 - 2). What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -485\/202, 3?\nAnswer: -485\/202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*b**2 + 387*b**2 - 793*b**2.\nAnswer: 37*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 85*b**4 - 60*b**3 + 5*b**2 + 3*b. Let l(d) = -86*d**4 + 60*d**3 - 6*d**2 - 2*d. Let r(z) = 3*l(z) + 2*u(z). Factor r(g).\nAnswer: -4*g**2*(2*g - 1)*(11*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30118 is divided by 210.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(8\/20 + (-2268)\/5620). Let c = z - -405. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158.1 + 151.4. Which is the closest to g? (a) -0.2 (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1445 + -2520?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 3*f + 4. Let u be t(-2). Suppose 5*c + 7*h = u*h + 30, 2*h - 8 = 0. Solve 3*a = 2*o - 10, -20 = 3*a + c*o - 6*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -3*x**4\/4 - 2*x**3 + 4*x**2 + 13*x + 101. Let b be w(-3). Solve 9 = -3*s - 2*j, 4*j + b = -s - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569205.8mg in tonnes?\nAnswer: 0.0005692058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 126. Sort d, 2\/5, 13\/2, 1\/5.\nAnswer: d, 1\/5, 2\/5, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-16) - 75\/(-4). Suppose 0 = 2*k - 4*i - 20, -3*k + 2*i = -i - t. Solve -3 = k*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41895557457637266 + 41895556558236259.99999945. Let x = p + 899401024. Let d = x + -18. Round d to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-16)\/576)\/(-1)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16*h + 1235. What is s(77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3928508 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -6916.4\nAnswer: -13832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -33, -57, -85, -117, -153, -193?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 1397. List the prime factors of c.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:32 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71818 is divided by 189.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380907.\nAnswer: 3, 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12.5. Let o = -4.97 + -0.03. What is the second smallest value in o, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 + 90*v + 90*v - 180*v.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 4. Let k be s(-4). Suppose o = w + 43, k*o - 3*o - w = 215. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -20 - -5) + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8849870 - 13280*v + 8849870 to the form z*v + n and give z.\nAnswer: -13280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3, -77*p + x - 6 = -74*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553145125 (base 6) in base 2?\nAnswer: 100101111101101001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (71 - 63 - -75)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/9 - 58248*w**2 + 47721674*w\/9 = 0.\nAnswer: -262207, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*i = -23 + 117, -3*i - 245 = 5*p. Let v(n) = -35*n + 3. Let j(b) = -316*b + 26. Let m(r) = p*v(r) + 6*j(r). Let x(a) = -a**2. Calculate x(m(u)).\nAnswer: -5776*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiyljtu. What is prob of picking 1 t, 1 u, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583604?\nAnswer: 2, 7, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7372905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y + 3*g - 6, -3*g = -9. Let a(h) = 2*h**3 + 3*h**2 - 2*h - 2. Calculate a(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1600441118 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5 + 0 + (-82 - -481)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 5*k = 6, -2*h = -2*k + 12. Let m = -4 + 6. Sort m, 3, h in descending order.\nAnswer: 3, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r**2*z - r**2 + 598100*r*z + 1890*r + 12 wrt z?\nAnswer: 8*r**2 + 598100*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-7) + -2)\/(10\/15). Let g be 1 + -4 + 1*-2. Let u = 0.9 + -1.9. Which is the nearest to u? (a) -0.2 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -5\/2*g**2 + 0*g**4 - 1\/6*g**3 + g + 1\/14*g**7 + 0*g**6 + 1\/4*g**5 - 32. Find the second derivative of y(x) wrt x.\nAnswer: 60*x**3 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - 480 = 117*i - 39*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/36 and 179\/216335028.\nAnswer: 649005084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -270, -267, -264?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -374, -259, -74, 175, 482, 841, 1246, 1691?\n\"Answer: -v**3 + 41*v**2 - v - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1572874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 10*i**4 + 17*i**4 - 9*i**4 - 2*i**3 + 2 as l*i**4 + v*i + t + r*i**2 + q*i**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 32. Let l be 90\/(-25) + 4 + ((-12)\/30)\/1. Give i(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - 4) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -z + 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 479 + 475 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m + 1. Let x be r(-1). Suppose 0 + 6 = t. Let j be 2\/t - (-668)\/12. What is the highest common divisor of x and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 23*x**2 - 58*x + 24. Give q(20).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 1010843306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.53, -5, -0.31.\nAnswer: -5, -0.53, -0.31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 4 + (99 - -1 - 56).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*t + (-2 - 3 + 6)*(3*t - 2*t - 3*t) + 0 - 2*t - 1 - 2 - 80 + 24*t - 78 + 153 in the form p + r*t and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, -21, 0, 1 in increasing order.\nAnswer: -21, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1)\/(-3)*-3. Solve 10 = 2*x - k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/10 - d**4\/4 + 3*d**2\/2 + d. Let x(w) = -w**3 - w**2 + 1. Let h be (3\/(-5))\/((-2)\/(-10)). What is h*x(g) + r(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13532312 divided by 1\nAnswer: -13532312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0959432 grams in kilograms?\nAnswer: 0.0000959432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -342, -315, -260, -171, -42?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/7 + (0 - -1))\/(-7). Is p less than 0.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24251560 - -5?\nAnswer: 24251565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175\/3 + -58. Suppose 9 = -x + 4*x. Let i(o) = -o**3 + 4*o**2 - 3*o + 2. Let y be i(x). What is the second biggest value in g, y, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*y - 4 - 60 = 0, -2*y - 6 = 0. Let d be 13\/r + 6\/(-4). Let n = -0.13 + 5.13. Which is the closest to 1? (a) -4 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 13553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 473 and -4.\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -18 + 6. Is 1 + -4*(-2)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 + 1639*g**4 + 982*g**3 - 280*g**2 - 15*g + 78 wrt g.\nAnswer: -120*g**3 + 39336*g + 5892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/4)\/((-1)\/4). Let i = n - 11. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/287712 and -67\/320.\nAnswer: 2877120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 3. Let f be n(-7). Let y(s) = s**2 - 2*s. Is y(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15017316 divided by 1572.\nAnswer: 9553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 586584160*-0.1\nAnswer: -58658416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**2. Let n(u) = 1119*u - 184. What is n(q(v))?\nAnswer: -8952*v**2 - 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 4 = -17*t. Suppose 0 = 3*z - 0 - 3, 43 = -3*d + z. Let m be t\/(-10) + d\/70. Solve m*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 3 + 2 - 1)*(1 + 2 - 5)*(800*z - 946*z - 1300*z) to p*z + q + a*z**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -150383.\nAnswer: -4\/150383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1201 + 250. Let q = -951.000387 - t. Round q to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -152. Which is the second smallest value? (a) -0.2 (b) 1.8 (c) 1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -42*j**2 - 3. Let s(q) = 5*q**2. What is b(s(a))?\nAnswer: -1050*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, -1, 0 in descending order.\nAnswer: 18, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547396 is divided by 754.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-12)*6*(-52)\/(-6). Suppose -3*c - j = -151, 2*c + 8*j = 13*j + o. Solve 45*f + 16 = c*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*t = 21, -7*t = -3*n - 3*t - 6. Suppose -l = n*l - 24. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3162 and -49\/1963602.\nAnswer: 1963602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2172\nAnswer: 1\/1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0133809 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2172330283 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = -18. Suppose -w*u - 3 - 9 = -2*s, -u - 3 = -4*s. What is the smallest value in s, -4\/7, 1\/8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.449 and -100.\nAnswer: 144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88205 or -0.132?\nAnswer: 88205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-m - m + 3*m)*(-2*m**2 + 5*m - 5*m)*(2 + 2*m - 2).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100\/159 + 2\/53. Let y = -12092 + 133014\/11. Which is the closest to h? (a) y (b) -1\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59811 - 59816. Let o = -11.6 - 1.4. What is the fourth biggest value in -3\/5, o, h, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4378677.\nAnswer: -4\/4378677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -49.032?\nAnswer: -48.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 8551b2?\nAnswer: 8551b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*r**2 + 2*r + 4128?\nAnswer: -546*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/3599 (b) 1\/9 (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 1\/17, 38?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 + -70*20\/(-16) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 185\nAnswer: -38\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 113.43249 months?\nAnswer: 0.094527075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/77944189, -5, 4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.692131 minus 3.02?\nAnswer: -4.712131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10581 - 10586. Let h(c) = 3*c**2 - 5*c. Let p(n) = 4*n**2 - 6*n. Give k*p(b) + 6*h(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*u - 4 = 0. Suppose -j = -3*j + 2*c, -u*c + 10 = -2*j. Suppose p - 8 = -0*r - 4*r, 4*r = -j*p + 24. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*c = -4*c + 20, -c = -h. Suppose -2*q = h*b + 3*q - 529, -5*q + 121 = b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.874 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + g + 9 = -12, 5*a + 4*g = -9. Factor -3\/4*n**3 + 3\/2*n**2 - 6 + a*n.\nAnswer: -3*(n - 2)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*x + 1197*x - 135*x + 1135*x as k*x + c and give k.\nAnswer: 2091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 471756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 1365*r**4 - 88235*r**3 + 676125*r**2 - 707000*r - 1470000 = 0. What is r?\nAnswer: -140, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38c26 (base 13) in base 10?\nAnswer: 105319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 3 (b) 5 (c) -4 (d) 0.196 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 64*m**3 - 11*m**2 + 1339*m + 4327. Let r(u) = -12*u**3 + 2*u**2 - 268*u - 865. Let t(n) = -2*i(n) - 11*r(n). Differentiate t(s) with respect to s.\nAnswer: 12*s**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280026 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 430*p**2 + 5354*p - 21901. Give k(442).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -11) + 1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 330200, 4, -4 in ascending order.\nAnswer: -4, -3, 4, 330200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1642, -5, -3, 464 in increasing order.\nAnswer: -1642, -5, -3, 7, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 39*i = 29*i + 403 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*w**5 + 224*w**4 - 8*w**2 - 8*w - 3?\nAnswer: 720*w**2 + 5376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/2 at most as big as 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 8*i + 9*i - 122 to m + k*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 76*m - 68*m. Suppose -k = 3*l - 15, 5*k + l = 7*k + m. Solve 2*s = -k*s - 3*a - 3, 12 = 2*s - 2*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 5\/6*x**4 + 0 - 1\/15*x**6 - 2\/3*x**3 + 9*x + 0*x**2 + 1\/21*x**7 - 3\/10*x**5. Find c such that l(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4176\/(-1566)*1*(-18)\/(-44).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1216 = 1306. Let g be 42\/q + (-87)\/18. Sort 4\/3, 1, 2\/5, g in increasing order.\nAnswer: g, 2\/5, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 0*w - 1\/3*w**3 + 0*w**2 + 123. Let g(v) = -v**2 - 98*v. Give h(g(s)).\nAnswer: -s**4 - 196*s**3 - 9604*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5269 - -5273. Solve c*z + 43 = -5*q + 18, 0 = -5*z + 3*q - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1799.6 and -79?\nAnswer: 1878.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 - 8107*p - 144837. What is w(-1140)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10610*m**3 - 10632*m**3 + 31848*m**3 - 10677*m**3.\nAnswer: -71*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5\/7 + 27*q**4 - 19554*q**3 + 10543662*q**2\/7 - 31823043*q - 33348861 = 0. Calculate q.\nAnswer: -277, -1, 49, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*z - 41 + 9, -4*z + 2*c = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5, -305\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b**2 - 9*b + 4. Suppose 0*m + 9 = -m. Let l(p) = 4*p**2 + 2*p - 1. Give m*l(f) - 2*v(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n**3 + 0*n**2 + 26 + 11\/4*n**4 - 90*n. Differentiate v(u) wrt u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*d + 4, -d = -4*n - 1 - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088808417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/76*3\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*k - 45 = -104*k + 2*d, 0 = k - 2*k + 5*d - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 2*i**3 - 2*i**3)*(i - 4*i + 4*i) - i**5 + 0*i**5 + 2*i**5 - 6*i**5 + 58*i - 20*i + 11*i**5.\nAnswer: 7*i**5 + 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 20. What is y(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**4 + 137608*q**3 + 2566550*q**2 - 962548*q - 1741616 = 0.\nAnswer: -22916, -19, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -131. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1070, -1074, -1082, -1094, -1110, -1130, -1154?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxmd when four letters picked without replacement from {t: 1, x: 5, f: 1, g: 3, d: 4, m: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -25. Let r = -16 - u. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1. Let j(q) = -2*q - 10. Give 60*f(d) - 6*j(d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*i**3 - f**3*i - 2*f**3 + 6350*f**2*i**4 - 58*f*i - 10*i wrt i.\nAnswer: -12*f**3*i + 76200*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10718278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38093670 divided by 6?\nAnswer: 6348945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 189191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**5\/140 - b**4\/42 - b**3\/42 + 7*b - 1. Let z(a) be the first derivative of u(a). Find v such that z(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 442428 and 2254.\nAnswer: 3096996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4669054 to the power of 1\/2, to the nearest integer?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5552 is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 3*a**2 + a + 1. Let i be k(2). Let o(r) = -r**3 + 6*r**2 + 8*r - 4. Let s be o(i). Suppose -2*n = 2*n - 24. Which is bigger: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*l**3\/17 - 6452*l**2 + 695006*l\/17 + 1828700\/17 = 0. What is l?\nAnswer: -18287, -2, 25\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33073.062 rounded to 0 decimal places?\nAnswer: -33073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 2*g**2 + 4. Give f(-5).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -74, -160, -278, -428?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 356\/30 + 44\/330. Solve 0*g + q = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*k + 25*k**2 + 0*k**3 + 2 - 23*k**2 - 131*k + 4*k**3 to i*k + p*k**2 + y*k**3 + w and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Suppose 25 = -5*o - 4*m, 5 = -o - 5*m - 0*m. Let d = -3 - o. Let z(v) = d*v - v - 3*v. Calculate s(z(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*w = 4*a + 12, -2*a - 509*w = -514*w + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27.5 and -949.300810871?\nAnswer: 976.800810871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 5\/7, 5\/1669?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) -112 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 508*f**5*u - f**4*u + 2*f**2*u - 1354*f**2 + 2*u wrt f?\nAnswer: 30480*f**2*u - 24*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127498, -127253, -127006, -126757, -126506?\n\"Answer: x**2 + 242*x - 127741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*p + 133*p - 20 = 0. Solve -5*n - x + 23 = 0, -2*n - 3*x = -0*n - p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**2 - 15*b - 1. Let p(y) = 4*y**2 + 14*y + 1. Calculate 2*n(i) + 3*p(i).\nAnswer: 2*i**2 + 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 28, 1, 4 in descending order.\nAnswer: 28, 8, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 34 = 3*u - 6*z, u + 2*z = 14. Suppose m = 4*m - u. Suppose m = -5*p + 39. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 44871*b - 2013406641\/2.\nAnswer: -(b - 44871)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 12. What is the least common multiple of 20 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let g(k) = -5*k + 3. Suppose 39*j - 6 = 149 + 1. Determine j*c(d) - g(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*j - 6 - 16 = 0, 0 = -4*l - 3*j + 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16250 is divided by 1225.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 5\/3, 1, 2, 3506, -0.3?\nAnswer: 3506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 52*y**3 - 44*y**2 - 52*y + 48.\nAnswer: -4*(y - 12)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) 1\/2 (c) -5 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-231))\/((-152)\/665)*15*17\/(-425)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4\/9, 4, -3\/2 in descending order.\nAnswer: 4, 4\/9, 1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5340018 is divided by 1780005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**3\/6 - 2*g**2 + 25*g. Suppose 13*o = -105 + 27. Give v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.2, -5, 5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(192) + -3))**2*3.\nAnswer: -32400*sqrt(3) + 135675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.19 - 10.99. Which is the nearest to o? (a) 11 (b) -1.7 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51355967\/499081968 + 1\/315077. What is the common denominator of 35\/891 and d?\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t + 21. Let f be n(5). Let p(q) = 114*q**3 + 4*q**2 - 6*q + 2. What are the prime factors of p(f)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*((-1972)\/(-38) + (-48)\/(-456)). Let p = k + 383. Let m be 284\/14 - (-2)\/(-7). Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 54. Suppose 0 = 5*s + 118 + y. Let w = -18 - s. What is the lowest common multiple of 2 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -2*(sqrt(153) + sqrt(153) + 1)) + -2)**2*-3 + 3.\nAnswer: -11472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 - 1. Let m be d(-1). Find the third derivative of -v**2 + 4*v**m - 2*v**3 - 2*v**2 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 (base 11) in base 6?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -145757\nAnswer: -58302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5291440398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45430857.\nAnswer: 3, 37, 136429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2686455 is divided by 55962.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/3 + 1300*q**4\/3 + 215120*q**3\/3 + 1259680*q**2\/3 + 2498720*q\/3 + 1658944\/3 = 0. Calculate q.\nAnswer: -322, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 30, 53, 74, 87, 86?\n\"Answer: -q**3 + 8*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 20. Let y be (-3)\/(-2) + 5\/10. Suppose 0 = -0*o + r*o - 4*s + 16, y*s - 8 = o. Sort o, 1\/9, -2 in decreasing order.\nAnswer: 1\/9, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 166*l**2 - 466 with respect to l.\nAnswer: 332*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -16. Suppose -m*j - j = -16. Let s = 0.8 - 0.5. What is the nearest to -1 in j, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 0, -1, -5, 8237 in ascending order.\nAnswer: -6, -5, -1, 0, 1, 8237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**3 - 16*w**3 - 10*w**3 + (-3*w + 2*w - 2*w)*(5*w**2 - 4*w**2 + 0*w**2) + 2*w**3 - 1 + 1 in the form p*w**2 + j*w + c*w**3 + g and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liqliliiilcicc. Give prob of picking 2 c and 2 l.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(378\/24)*21\/6)\/6. Which is smaller: 0.0807 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 at most as big as 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**5\/f))\/f**18)**(-41) assuming f is positive.\nAnswer: f**902","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 - 2)*(q - q + 25*q) to t + f*q and give f.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4008 - 4008 - 45*o**2. Let z(h) = 6*h. Determine z(y(t)).\nAnswer: -270*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 5*v + v + (0 + 3 - 1)*(-5 + 4*v + 5) + (-1 + 1 + v)*(-4 + 0 + 6) + (1 - 1 - v)*(5 - 4 + 1).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10674 (base 9) to base 6\nAnswer: -52534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2423 - 7261 + 2426 + 2412 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 49 - 24*a - 16*a + 39*a - 3*a**3 in the form u*a**3 + v*a**4 + s*a**2 + n*a + k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 12*b - 5. Let k(n) = -n**2 - 13*n + 4. Determine -3*k(f) - 2*z(f).\nAnswer: f**2 + 15*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*o - 8, 0 = 2*o + n + 4*n - 4. Let c(u) = -1 - u**o + 3*u - 4*u + 0. Let s be 3\/(-2)*40\/30. What is c(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and 29\/12740.\nAnswer: 38220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgb when three letters picked without replacement from {z: 3, g: 1, b: 3, d: 8, v: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 385517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 not equal to -0.07487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -5. Let m be 3 - (h - 201\/(-39)). Let f = 13 + -13.5. Sort f, 6\/7, m.\nAnswer: f, m, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 149 - 8971. Suppose 201*k - l = 193*k. Does 30 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5\/3 - 1540*w**4\/3.\nAnswer: -4*w**4*(w + 385)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -2*w - 1\/2*w**2 - 3. Determine i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2736 and 99\/25232.\nAnswer: 227088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*(9\/6 - 2). Suppose 3 = -4*t - f. What is the units digit of 6*1*t\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1818 and 9873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*k + 10, 9 = -4*k - 5*g + 30. Suppose 0 = s - 6 + 5, -3996 = -d + k*s. Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let d(k) = -8*k - 16. Let c be d(-2). Let q(n) = 489*n**2 - 525*n**2 + 0*n + c*n. Calculate q(a(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 3*s + 10*s + (s - 3*s + s)*(-4 - 2 + 4) + (-6 + 2 + 7 + (-1 + 1 - 4)*(-8 + 1 - 4))*(0*s - s + 2*s).\nAnswer: 61*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 55*v - 15. Let p(k) = 3*k - 40. Let d be p(9). Is o(d) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -503\/5 - -100. Let j = -2.5 - -3. Let p = 1 + -6. Which is the nearest to -1\/3? (a) p (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 - 37*h + 9. Let w(c) = -16*c**2 - 110*c + 25. Let t(l) = -7*g(l) + 2*w(l). Is t(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-35)*13\/((-1092)\/(-144))*-70?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 2, m: 4, s: 1, n: 4, r: 3}. What is prob of picking 1 w, 1 r, and 1 n?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2538 = 62*d - 66*d, 0 = -3*u - 27. What is the least common multiple of d and 22?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 7 - k**2 - 10*k - 3*k. List the prime factors of b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/56)\/(-5)*-5.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 9*y + 8. Let n be g(-8). Let h(u) = 3*u**2 + 3 + 8*u + n*u**2 - 12 - 4*u**2. Let b be h(6). Solve -2*l + 7 = -b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*10\/1048*5424\/88140?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o + 5. Let s be h(-8). Suppose t = 3*w + 2*w + 62, 2*t = s*w + 104. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/20 and -53\/22000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, l: 2, v: 3, t: 2, n: 2, z: 4}. Give prob of sequence ntnx.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 342973973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1664 - -1688. Calculate the remainder when 158 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 354 - 195. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -0.3, 19, 0.2, 24 in increasing order.\nAnswer: -3, -0.3, 0.2, 8, 19, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24) - (sqrt(24) - (sqrt(144)*1 - sqrt(144))\/sqrt(6)) - (sqrt(120) - sqrt(120)*-1)\/sqrt(5)))\/(2*((sqrt(968) - sqrt(968)*2) + sqrt(8))*-1).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (4 + -538 + -2). Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -989, 2\/5, -1, -6, -4, -8?\nAnswer: -989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 21 - (4 - (-3 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 2*f**4 - 2*f**4)*(3*f - 3*f + 2*f + (-2*f + 2 - 2)*(5 - 4 - 3) - 2*f + 2*f - 4*f).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3538284445.\nAnswer: 5, 89, 7951201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-10 + -8) - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(3\/2*-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -1\/10*a**6 + 3\/4*a**4 + 0 + 0*a**2 + 0*a**5 - a**3 + 6*a. Factor t(q).\nAnswer: -3*q*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1206 = -5*m - 2*y, 0*m + 2*m - 5*y = 465. Let l be (6\/135)\/(3\/m). Determine w, given that 16\/9*w + 2\/9*w**3 - 14\/9*w**2 + l = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -5*j**8\/336 - j**4\/3 - 2*j**2 + 6. Let n(r) be the second derivative of p(r). What is the second derivative of n(h) wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-198))\/((-336)\/(-23408))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2800\/30)\/35 + 50\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.88 less than -1227116?\nAnswer: -1227225.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = n + 1, 13 = a + 5*n + 2. Solve a = 2*f + j + 10, 0 = 5*f + 4*j + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 392 = 560 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - j + 15 = 0, 30 = 4*z - 5*j + 57. Sort -5, -209, z.\nAnswer: -209, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 50*d - 7. Let u be c(17). Suppose 56 + 24 = u*w. What is the greatest common factor of 72 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -507 + 509. Suppose 0 = 2*i - f - 3, -4*i - 3*f + 30 = 9. Let j be 2 + (1 - i) - 0. Sort -4, j, x, 1 in increasing order.\nAnswer: -4, j, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + n**2 + 21*n + 3. Let o(r) = 5*r**3 + 3*r**2 + 41*r + 7. Calculate 7*c(t) - 3*o(t).\nAnswer: -t**3 - 2*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 551\nAnswer: -13224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/78 - 32*j**3\/39 + 528*j**2\/13 - 48*j - 42. Determine a so that n(a) = 0.\nAnswer: -44, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*g - 25 = -965 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 1. Determine h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*3 + -2 + 189\/21. Suppose -4*l + 6*l - 16 = -i*d, l = 4*d - 10. Solve x + 5 = 5*k - l*x, x = -k + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -1e1?\nAnswer: 1f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 34*q + 63. Let x(k) = -37*k - 92. Let h(b) = -3*p(b) - 2*x(b). Let i(n) = 140*n + 26. Give -16*h(r) - 3*i(r).\nAnswer: 28*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125, -464, -1023, -1796, -2777, -3960, -5339, -6908?\n\"Answer: y**3 - 116*y**2 + 2*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 19*f**2 + 4*f - 4. Determine t(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3241316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1)\/(11\/((-33)\/(-3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*d**3 + 31*d**2 - 1637*d**3 - 31*d**2.\nAnswer: -2165*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -41*o**3 + 35*o**3 + o + 3*o + 5 + 5*o**2. Let y(x) = -4*x + 23. Let a be y(7). Let f(j) = -j**3 + j**2 + j + 1. Calculate a*f(h) + w(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16880.9 + -16881. Let i = 1443\/22 + -131\/2. Sort i, h, -1, 0.\nAnswer: -1, h, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 105 (b) 0.5 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 + 3\/2*f**2 - 3\/4*f + 3\/4*f**3.\nAnswer: 3*(f - 1)*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 6*l**2 - 35 + 6*l**2 + 972*l**3 - 966*l**3 - l in the form s + h*l**3 + r*l + w*l**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21462 times 90\nAnswer: -1931580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*a - 42, 5*a + 2*g - 5*g = 92. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -26 - (8 - (-4 - -8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 2941.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Let z be (-26)\/s + 2\/(-3). Solve 4*n = 5*m - 6*m, m - 4*n = z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48047868.\nAnswer: 2, 3, 11, 121333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 1117 - 286 - 517 = -97*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 15*l + 4*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {o: 2, y: 1, j: 1, g: 13, m: 1, s: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 5, 0, -2, 190 in increasing order.\nAnswer: -2, 0, 5, 22, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 7784?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.4 + 21.4. Is 0.02 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2256 - 1351. Suppose -439 = -2*w + 3*g, -g + p = 4*w + 2*g. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 36859.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*s = 53*s + 184. Suppose -2*d + 13 = r - 3*d, -3*r - 4*d = -74. Calculate the lowest common multiple of r and s + 22 + (-2 - 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(152)*1*-2 + sqrt(152))\/(sqrt(96)\/sqrt(108)) + ((sqrt(2299) - (5 + (sqrt(2299) - 1*sqrt(2299)) - sqrt(2299) - sqrt(2299)))*3)**2).\nAnswer: -559332 + 8919*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5)*c**6*(c**4\/c)\/c**(2\/7))**(-7\/5) assuming c is positive.\nAnswer: c**(-284\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(g**(-9)\/g))\/g*g*g*g)\/g)\/(g*g**(2\/11)) assuming g is positive.\nAnswer: g**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 247*u**3 + 12219*u**2 - 218753*u + 1292876.\nAnswer: (u - 188)*(u - 23)**2*(u - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 80. Solve -12 = -f*b - 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 10*g**2 + 12*g - 13. Let u be k(-5). Let v = -67 - -23. Let n = u + v. What is the greatest common factor of n and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*g**4 + 182558*g**3 + 7654018*g**2 + g - 11 wrt g?\nAnswer: -1608*g + 1095348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*k + 5765381 = 5765376, k - 11 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3*f + 3. Let t be u(3). Suppose 0*s = -t*s + 30. Suppose -7*m = -s*m + 99. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 9*f + 26 = 0. Suppose r - 2\/3 - 1\/3*r**f = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -70, -93, -114, -133, -150, -165?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l + 3. Let d be 2 + -3 - (-3 + -2). Suppose -3*z + 4*i - 11 = 0, 0*z = -d*z + 3*i - 17. Is r(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -886044 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477201 (base 9) in base 8?\nAnswer: -3077216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 61960000 to the nearest one million.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1612940 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*k = -587*k + 60 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9354 to 2 decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1133*q - 318. Is a(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.4, -2, 0.2, -1375?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*d + 14*d - 7*d)*(1 - 1 + 3*d**4) + 10*d**5 + 11*d**5 - d**5.\nAnswer: 41*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213737 + h + 213737 + 0*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40681 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p + 6509 - 118701 = 0. Is p a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 0 - j**4 + 10*j**3 + 293754*j**2 + 0 - 293752*j**2 as q*j + h*j**3 + f + d*j**2 + y*j**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 4. Let f = -2 + s. Let t = 1.05 + -6.05. Which is the second biggest value? (a) t (b) f (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28921 - 29019. Which is the third biggest value? (a) 51 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w + 1. Let j(h) = 135*h - 675. Let n be j(5). Give k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*m + 6 - 25, 4*v - m - 17 = 0. Suppose 21 = 6*f - 4*f - v*l, 0 = 4*f - 3*l - 33. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11761a (base 15) in base 16?\nAnswer: cbdb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 583 - -137. Let c = g + -503. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 18. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 4. Let l be x(-7). Suppose 6 + 24 = -5*v. Let u = v + l. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60021 is divided by 3001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 406911 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82248, -82230, -82212, -82194, -82176, -82158?\n\"Answer: 18*v - 82266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-156)\/(-27) - 7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.3 (b) -1.5 (c) 0.3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 + 4*a**2 - a**2)*(6*a**3 - 8 + 8) + (a**2 + a**2 - 4*a**2)*(3*a**3 - 2*a**3 - 2*a**3) - 2*a**5 - a**5 - a**5.\nAnswer: 70*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 16611?\nAnswer: 16611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 21924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*1.0936\nAnswer: 0.295272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j + 28. Suppose -m - 4*m + 140 = -2*w, -112 = -4*m + 2*w. Suppose 0 = -5*f - m + 123. Calculate the remainder when f is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 21 = 2*l - 2*t, -22657*l - t = -22661*l + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 806001751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*s + 4*m, 0 = 2*s - 0*m + 4*m + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 5*g**2 - 6*g - 11*g + 25*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921369541.\nAnswer: 3, 23, 1049, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 4. Let s(v) = 6 - v - 3 - 4. Let y = 98 + -92. Suppose 34 = -y*c + 22. Calculate c*k(w) - 7*s(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p. Let h(g) = -227*g**2 - 2. Determine l(h(a)).\nAnswer: -1362*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 + 5*f**3\/6 + 7*f**2\/2 + f. Calculate the least common multiple of x(5) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -216*x + 25916. Give g(111).\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1870461\/26 or -71941?\nAnswer: -1870461\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.3127158 to 1 dp.\nAnswer: 94.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.15 (c) -36 (d) 1 (e) 88\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -862*h + 934. What is the tens digit of o(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 9 - j**2 + 1 + 28*j - 11*j. Let q(l) = -l**2 - 8*l - 5. Let z(h) = 5*q(h) + 2*v(h). Let g be (-18)\/4 - 3\/(-6). Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a + 1. Let b be n(4). Let f = 7 + 1. Calculate the remainder when f is divided by 1\/(b + (-12)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 18 = 3*c, 0 = -3*c + 2*o + 2 + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 1 + 2)*(3 - 3 - 1)*(-64*n + 65*n + 1 + 75*n) to k + j*n and give j.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.39 - -0.61. Let o = -126 - -130. Which is the nearest to 4\/13? (a) o (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-2304)\/(-16))\/16)\/((-22)\/(-24)). Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chxxxaxiiacyha. What is prob of sequence hcxx?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -80.5863 * 4\nAnswer: -322.3452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653677474.\nAnswer: 2, 179, 10205803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.9718713 + -54.5381.\nAnswer: -86.5099713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 13. Suppose q*w + 6 = -o, 0 = o - 0*o - 2*w. Let u be ((-7)\/3)\/(o\/72). Calculate the greatest common factor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*t = -13, 3*t + 5 = 3*i + 2. Solve -i*k - b - 1 = 15, k - 4*b = -1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 1 + sqrt(175) + 2*(sqrt(175) + -1 - sqrt(175))))**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1397 and -47958189825.\nAnswer: -47958191222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**3 + i**2. What is l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1124 - -112?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p + 6. Suppose 2*n = 2*o + o - 1, -3*n + 26 = o. Let s be t(n). Let q = s - 9. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-341))\/(-2*18\/(-24))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2. Let h(i) = 9*i**2 - 27 + 25 - i**2 - i - i**3. Let q be h(3). Let k(f) = -f + q - 40. Give k(c(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11802457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-20)*(9 - -1). Let v be (q - -7 - -3) + -2. Suppose -3*p - v*s = -118, 0*p + 2*p - 112 = 4*s. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o + 5603. Let z(c) = 152*c. Determine z(q(v)).\nAnswer: 912*v + 851656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, c: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - 33*y**2 + 33*y + 33. Let v(d) = 13*d**2 + 5*d - 7. Let n(j) = -37*j**2 - 14*j + 20. Let o(c) = 6*n(c) + 17*v(c). What is -2*f(q) + 66*o(q)?\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32 - 29)\/(6\/30). Suppose -2*v + 5*p - 5 = 0, 3*v + 5*p - 32 - 23 = 0. Calculate the greatest common factor of w and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 78*m**2 + 8*m. Let s(l) = 78*l**2 + 6*l. Determine -3*s(p) + 2*u(p).\nAnswer: -78*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6147168, -6147193, -6147218, -6147243?\n\"Answer: -25*q - 6147143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1602967 (base 11) to base 15\nAnswer: 392546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 7199 + 6969. Solve 0 = x - 6*d + 2*d - k, -5*x + 2*d + 25 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 0.5, -0.1, 17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79593.\nAnswer: 3, 43, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 3*o**2 + 11*o\/2 + 3.\nAnswer: (o + 1)*(o + 2)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -76. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 5 + (2*2 - (21 + -24)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -237, -318, -399?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/354 and 1*-12 + 3395\/295.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -24*r**4 + 45*r**3 - 108*r**2 + 105*r - 54. Let n(m) = 11*m**4 - 23*m**3 + 55*m**2 - 53*m + 26. Let a(s) = -4*k(s) - 9*n(s). Factor a(v).\nAnswer: -3*(v - 6)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 - 2.25. Let a = 4 + -1. Suppose -2*k = 5*l - 16, l = -k - 3 + 8. What is the closest to r in -0.5, l, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3227905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*z - 6 = 0, -5*z - 2 = 4*k - 5. Suppose -2*l = 5*c - k*c - 2, -5*c - 4 = -4*l. Factor -2\/5*g**4 - 6\/5*g**2 - 2\/5*g - 6\/5*g**3 + c.\nAnswer: -2*g*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)**(-4))**(1\/5)*(i\/(i\/i**7))\/((i\/i**(-1\/3))\/i)*i**(1\/2)\/i**(5\/2) assuming i is positive.\nAnswer: i**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-4))\/(-3))\/(-2 + 2\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 916655?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)\/o**4*(((o**(3\/7)\/o)\/o)\/o)\/o**(-2)*(o\/o**(-1\/4))**(-35)*((o**(-5\/4)*o)\/o)\/(o\/o**7) assuming o is positive.\nAnswer: o**(-361\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + (-5)\/30*-8. Let v(k) be the first derivative of 0*k**2 - 7\/4*k**4 + 0*k + 2 - t*k**3. Find the third derivative of v(l) wrt l.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -685150.\nAnswer: -685147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 - 31585*m - 997612225\/2.\nAnswer: -(m + 31585)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*10*(-1)\/3. Let n = 10 + c. Solve 4*o + 16 = 0, n*f - 5*f - 9 = -4*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*m, -5*j + 2*m = m + 278. Suppose s + 3*n = 4*n - 13, -2*n - 22 = 2*s. List the prime factors of j\/(-6) - 8\/s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 4*d**2 + 3*d**2 - 2*d)*(6 - 6 - 3*d).\nAnswer: -3*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 94 = 2*v - 4*v, 0 = -5*v + 3*f + 193. Suppose 0 = v*n - 46*n - 41050. Round n to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/40954810 and -23\/104.\nAnswer: 163819240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57392895.\nAnswer: 3, 5, 7, 546599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 764*d + 752. Let f(l) = -4*l**2 - 767*l - 753. Let b(w) = -9*f(w) - 8*g(w). Differentiate b(k) with respect to k.\nAnswer: 8*k + 791","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(88) - sqrt(88)*-2) + sqrt(88) - sqrt(88)))\/(1*sqrt(128)).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30914838008 + -2\nAnswer: -30914838010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**3*g**3 - 19*c**3 + 12*c**2*g + g**3 + 1 wrt c?\nAnswer: -36*g**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 89.\nAnswer: -4539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1*(-8)\/(-30))\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + -27. Let t = b + 49. What is the units digit of (1 + (-17)\/t)*306\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12731, -12732, -12733, -12734, -12735?\n\"Answer: -v - 12730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p + 6. Let y be o(0). Suppose -2*w + y = -3*w. Find the common denominator of 23 and (142\/w)\/((-8)\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 223*o**3 + 870*o**3 - 1867*o**3 - 1598*o**3.\nAnswer: -2818*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -7*j**5\/5 - 3*j - 6. Differentiate r(y) wrt y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 1. Let j(x) = x**3 + 6*x**2 - x - 1. Let o be j(-6). Let f = -3 + o. What is the second smallest value in f, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-99)\/(-27))\/(18\/27)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 32 = -15*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 = -6*b + 3*b, -15 = 3*b. Let j = 1 + l. Let x(i) = -i**2 - 28*i - 49. Let z be x(-23). What is the greatest common factor of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1196*k + 505. List the prime factors of w(-4).\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 67. Let d(f) = -8*f + 67. Let v(y) = -2*d(y) + 3*g(y). Let p be v(13). Solve -b = 7*m - 2*m, 5*b + 27 = p*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(5 + 4 + (-6*(sqrt(99) + sqrt(99) + 1))**2) + 1 + 0.\nAnswer: 432*sqrt(11) + 14304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1045620 != -1045622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1296)\/90)\/(((-777)\/(-70))\/(-37))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189561629?\nAnswer: 2189561629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from oooooooooloboloooool?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*f - 1 - 4, 0 = 5*p + 5*f - 25. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.044, 10, -1.2, -2?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 + 15?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11190342.\nAnswer: 2, 3, 1865057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -695 (b) 0.06 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.66 - 1.66. What is the nearest to q in -5, -0.2, 0.1, 1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 1. Let b(r) = -111*r - 1. Determine -b(c) + 4*l(c).\nAnswer: 103*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13617?\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -12)\/(15\/(-95)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-8)\/58)*5. Let w(o) = -o**2 - 4*o + 2. Let m be w(-4). Suppose -h = -m*l + l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-99)\/(-4))\/(-11)*4. Let v be (3\/(0 + q))\/((-16)\/18). Let j = -1.1 - -0.1. Which is the closest to -1? (a) v (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 40\/(-4)) + (-9 - 1 - -3). Solve -v*u + 6 - 14 = 2*n, 2*n + u = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 22086390*k - 24390431161605.\nAnswer: -5*(k + 2208639)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-16)*4 - -2. Suppose -3*y - 642 = -3*u, u = k*u + 2*y - 416. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 5. Let g = m + 7. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 + -400. Solve -h*d = 3, 3*d + 3 = l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 15282.7.\nAnswer: -76413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.6 - -31. Put -0.31, -0.3, d, 9 in decreasing order.\nAnswer: 9, d, -0.3, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*(sqrt(660)*5 - sqrt(660)) + sqrt(660))\/sqrt(12))\/(2*1*sqrt(132)\/sqrt(12)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24626 - 23331. List the prime factors of a.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 668153*v*y**3 - 119*y**3 - 2098*y - 1 wrt v.\nAnswer: 668153*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 56 (c) -1\/3 (d) 3 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/((-4)\/(-8)))*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 28*z**2 + 9*z - 16. Let i be n(-16). Suppose 27*f + i = 35*f. What is the greatest common factor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29156196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 19 = 2*h + 23, -3 = -k - 5*h. Let y = k - 1. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1478*t**6 + t**4 + 351*t**3 - 1368045*t**2 - 2*t wrt t?\nAnswer: 177360*t**3 + 24*t + 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Suppose 3*a - 2*x = 426, 633 = y*a - 4*x - 77. Find the common denominator of 6\/8 + a\/8 and -35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 397, 891, 1573, 2437?\nAnswer: 3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 142302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 9*d + 7*d. Suppose -2*s = d, 2800000 = -2*l - 4*s + 2*s. Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2 + 4. Let n(b) = b**2 + b - 9. Let u be n(-4). Solve -u*r + h = 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (sqrt(363) + 1)) - sqrt(3) - sqrt(3))*-5 + 3.\nAnswer: 8 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -921663 divided by 307221.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35d15 + -3?\nAnswer: 35d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 686449854 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3716 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)\/(19 - 916\/48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(5\/126)\/((-4)\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.5. Let o(a) = a**2 + 9*a + 9. Let c be o(-8). Let t be (-3)\/2*c + 1. What is the third biggest value in q, t, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 369.6 - 341. Round f to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 2 + 26\/(-14). Suppose 0 = -2*x - 598 + 606. Sort g, -5, -0.5, x in ascending order.\nAnswer: -5, -0.5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 j, and 1 c when four letters picked without replacement from {j: 4, c: 2, o: 7, q: 1}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 2. Suppose 3*b + 13 = 5*l, -5*l + 2*l + 7 = -2*b. Let v(n) = -1. What is l*v(h) + g(h)?\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3106.\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 - 3504*h**2 + 335157*h - 331656 = 0.\nAnswer: 1, 104, 1063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 5*m - 4. Let j be s(-6). Is 8 + 4\/j + -2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-55))\/((-10)\/25)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 8 - 4*b**2 + 8*b**2 - 9*b**2 - b**3. What is the tens digit of s(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -6, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 5*s**2 - 8*s - 7. Let j be i(-5). Let p be j\/(-20) + (-4)\/(-10). Differentiate -p*k - 3 + 3*k + 0 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(33)\/sqrt(48) + (sqrt(11) - (sqrt(11) + (sqrt(44)\/sqrt(16))**2)).\nAnswer: sqrt(11)\/4 + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7964.6 and -2.471.\nAnswer: 19680.5266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -476489\/9 + 52834. Let m = q + 109. Which is the closest to 4? (a) -1\/4 (b) m (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 6*x - 1. Let s be d(-6). Let f(i) = -61*i**2 - 1. Let y be f(s). Calculate the remainder when 2\/4 - y\/4 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7001565*g**4 - 8199110?\nAnswer: -28006260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7824778 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9216219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y**2 + 26*y + 8101. Is q(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 10*o**2 + o - 9. Let v be a(10). Suppose -k = v - 12. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178\/89*1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-18) - 44\/6)\/(-16). Let r = g - 3\/16. Solve 1\/4*x + 0 + 3\/4*x**3 + 3\/4*x**2 + r*x**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1050)\/(-12)*(-2380)\/4165.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 + 42*v + 248. What is t(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 10*o + 12. Let p be -4 + 10 + (-21)\/o. What is the nearest to -2\/7 in p, 5, -24\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*48\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c**2 + 7 + 21*c**2 + 14*c**2. Is i(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/(y*y\/y**2*y)*y**(2\/5)*y\/(y*y*y**2)*(((y*y\/(y\/(y\/(y**(2\/5)*y)*y)))\/y)\/((y\/y**10)\/y*y))**(-17\/2) assuming y is positive.\nAnswer: y**(-451\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -30*h**3 + h**2 - 6*h + 4. Let c be b(1). Let j(d) = -d**2 - 38*d + 6. List the prime factors of j(c).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.092 - 3.2?\nAnswer: -2.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/(2\/(-6)). Suppose -3*q + 6 = 0, 5*v = o*v - 2*q + 7. What is the third derivative of -h**2 - 4*h**3 + v*h**3 - h**3 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -55*j**5\/12 - 43*j**2. Let b(a) = -a**2. Give b(v(w)).\nAnswer: -75625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -440885681 and -0.124.\nAnswer: -440885681.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4052760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136610 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -987*s + 2644. Determine t(3).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67269.39um to centimeters.\nAnswer: 6.726939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -157, -3, 4, 3 in descending order.\nAnswer: 4, 3, -3, -51, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 82. Let f = 2.3 + -2.3. Which is the closest to f? (a) p (b) -0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Suppose -5*g = -0*g + 100. Let w = -18 - g. Let n(d) = 0*d - w*d + 12*d + 5*d. What is a(n(b))?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012739681893 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6960 - -6961. Which is smaller: p or 2253?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 9*u + 12, 3*u = k - 2 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/84 and 71\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, 6, 0.5, -1\/7, 4\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -29.964. Let j = -2469.2 + 2469.3. What is the third biggest value in j, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 2*d**7\/21 + 2*d**6\/15 - 3*d**5\/5 - d**4\/3 + 4*d**3\/3 + d. Factor z(o).\nAnswer: 4*o*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54555.22ug?\nAnswer: 0.00005455522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51601 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50844, 203380, 457606, 813522?\n\"Answer: 50845*f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48245, -48246, -48247, -48248, -48249, -48250?\nAnswer: -48251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -35. What is q in 1\/4*q**4 + s*q + 1\/4*q**5 + 0 - 1\/2*q**3 + 0*q**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11)\/(275\/15) - 4886\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10170 and 40680.\nAnswer: 40680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -22\/5 (c) -5 (d) -1 (e) -8 (f) -0.046 (g) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -362*s**2 + 5256*s + 7. Let d(x) = -103*x**2 + 1752*x + 2. Calculate 7*d(u) - 2*f(u).\nAnswer: 3*u**2 + 1752*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01913 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3*w**2\/2 + 10*w - 6. Let s be f(2). Suppose 5*p - 35 = -s*c, 0*c - c - 1 = -2*p. Solve p*v = 6*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(32)\/sqrt(8)))\/(sqrt(3) - (sqrt(300) - (-2*sqrt(300) + sqrt(300)))).\nAnswer: -sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -43. Solve 2 + 6 = k*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 12. Let u be o(-8). Suppose 9*q - 17 = 8*q + 3*j, 0 = 2*q + 2*j - 10. Solve -u*k = -8*k - q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**2 - 11*a - 5. Let l(z) = -5*z**2 + 5*z + 3. Let h(b) = 5*l(b) + 3*s(b). What is the second derivative of h(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14557 - 7316. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i + 4483 - 10624 = -5181 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3873, 4 in decreasing order.\nAnswer: 4, -5, -3873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91939893 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14406 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 869823 divided by 9.\nAnswer: 96647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 3)*(-4 + 3 - 1) - 7 + 1 + 2 - 4 - 1 + 3)*(55*y - 55*y - 5*y**2).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 7*i + 7. Let g be n(7). Let k = 102 + g. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 98. Let m(w) = -w**3 + 4*w**2 + 6*w - 3. Let r be m(5). Let c(x) = 2 - 5 - x + 0 + 4*x**r - 3*x**n. Determine c(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18762049 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -35*i - 36*i + 31*i. Let v(f) = f**3 - 14*f**2 + 25*f - 10. Let l be v(12). Let y(d) = 2*d - d**l - 8*d + 6*d. Give r(y(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*j**2 - 476*h**2*j*q**2 + 24*h*j**2*q**2 wrt j.\nAnswer: 4*h**2 + 48*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/8 - 2*m**3\/3 + 3*m**2. Let t(w) = 21*w - 27. Determine 27*q(g) - 4*t(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 2*n - 3*n + 4*n. Let q(c) = -c - 6*c + 0*c. Determine s(q(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*c - 23*c - 52 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -s - 23, 2*s + 28 = 3*p. Calculate the greatest common divisor of p and 9876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h - 2*h)*(-3 - 2 + 4)*(1 + 2 - 1)*(2 + 1 - 5) to c*h + w and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose -2*a + s = -6. Solve -24 = 5*j - 4*i, -7 = -0*j + j - a*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/2 - (-3 + 6). Let r = 8 - b. Suppose 0*c + 2*c = 4. Solve 2*a = -c - r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 22201 + 23906. What is the remainder when k is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*4\/(-14)*18\/90\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2.69, 0.6639 in increasing order.\nAnswer: -1\/4, 0.6639, 2.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - f**4 - 2)*(-6060*f - 10248*f + 9747*f).\nAnswer: 6561*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 843*a + 4. Let l(x) = -9*x**2. Give l(u(p)).\nAnswer: -6395841*p**2 - 60696*p - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 36645?\nAnswer: -36649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 13*z**2 + 5. Let o be k(13). Suppose 0*y = -o*y + 5. Let x be 4\/(-14) + 304\/133. Sort y, 5, x.\nAnswer: y, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6266274.00071 + 6266303. Let a = y - 29. Round a to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, -75 in decreasing order.\nAnswer: 1, -12, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 8*t**3 - 1 - 7*t**3 - 4*t**2 as g*t**3 + k + p*t**2 + d*t and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167428172 by 1642.\nAnswer: 101966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x*x*x*x**40)\/x)\/x)\/x)\/((x\/(x**(-14)*x*x*x))\/x*x))\/(x**(3\/20))**41 assuming x is positive.\nAnswer: x**(457\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 - 2038779*m\/2.\nAnswer: 3*m*(m - 679593)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -3007?\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:53 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34294893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/60 - f**4\/8 + 11*f**2. Let n be (-26)\/(-10) - (-6)\/15. What is the units digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6874 + -151193\/22. Suppose 156 = -5*a - 969. What is the common denominator of k and (a\/1085)\/((-6)\/21)?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**2 + 2*d + 2. Let s(v) = 11*v**2 + 3*v + 3. Give -2*s(g) + 3*z(g).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 9*x + 8. Determine r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 802116.7t?\nAnswer: 802116700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.381062 hours in seconds?\nAnswer: 22971.8232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.088047ml?\nAnswer: 0.002088047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = 0, f = g + 3*g - 5. Which is bigger: -45 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 8303.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4\/(-6)*6 + 240. Suppose -4*p - n = -344. Calculate the greatest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4 - 40*c**2 + 13 + 39*c**2 - 6*c. Let h be r(-7). What is the tens digit of (1232\/(-42))\/(h\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - s = 18*r - 1056, r = -5*s + 216. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498525 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 518848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:56 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2 - 11*k - k**3 + 3 + 13 - 12*k**2. Let i(s) = 5*s**3 - 17*s**2 + 2*s + 1. Let f be i(3). What are the prime factors of c(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - u - 2*u)*(-3 + 5 - 1) - 3273 + 1318*u - 444*u - 437*u - 436*u as a*u + n and give n.\nAnswer: -3273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 6. Let u(v) = -4*v - 7. Let m(d) = 7*i(d) - 6*u(d). Suppose 75*f + 148 = -152. Let h(x) = -x**2 - 4*x. Give f*m(z) - 3*h(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 3748\/607?\nAnswer: 3748\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -35. Suppose -3*n + 44 = n + 2*z, z - 32 = -3*n. Calculate the least common multiple of n and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 10*v + 2*v + v + 2 - 2 + (2 + 3 - 4)*(-3 + 3 + v))*(-38*v + 6*v + 1 + 17*v)*(-4 + 1 + 8).\nAnswer: 600*v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -247 + 252. What is the second derivative of -62 + 40*j - 6*j**4 - 2*j**5 + 5*j**q + 30 + 30 wrt j?\nAnswer: 60*j**3 - 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/6, 3\/29 in increasing order.\nAnswer: -4, 3\/29, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 0.134, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 331*i + 88 = 328*i, -2*q - 5*i = 265 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15944115 is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(114)\/(sqrt(6) - (sqrt(30)\/sqrt(5) - sqrt(6))) + sqrt(19) + -1 + -2)**2.\nAnswer: -32*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154234 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4595 + 4538.475. Let i = -99.2 - r. Let k = i - 1.025. What is k rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -35200004 - (-4 + 3 - 3). Round w to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14860943843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23478.3441ms in days?\nAnswer: 0.00027174009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**2 - 88*x**2 - 2 + 2 + 68*x**2.\nAnswer: -59*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oou when three letters picked without replacement from ooooouohoofoooo.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q + 18*q**3 + 9*q + 10*q**4 - 19*q**3 wrt q.\nAnswer: 120*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 44. Let g be d(-12). Suppose -g*k - 1582 = -15*k. What are the prime factors of k?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 7*v = -24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3 - 58 - 38)*(0*y - 2*y + y)*(-4 + 3 - 4).\nAnswer: 930*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (14 - 7) + (15 - 122)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 4) + (-3 - -67). Let z(n) = 9*n**2 - 10*n - 5 - u*n**3 + 63*n**3 + 0. Suppose -2*l - 3*v + 5*v = 26, 5*l = -v - 47. Calculate z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 194 + 194 + 0*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110680411\/2485 - 311772\/7. Let n = 4\/71 + z. Find m such that -1\/5*m + n*m**2 + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 88737*a + 45156*a + 43581*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*b)*(0 - 12 - 13) to p + o*b and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (91\/5 - 3\/15) + 3. Suppose -o = -x + 11. Is 32 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 at most as big as 29896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (1 + -5))\/1. Let h(v) = 2*v - 2. Let n be h(z). Solve n = -5*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - -20a6215?\nAnswer: 20a6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(110)\/sqrt(40)*-4 + 5 + (sqrt(33)\/(sqrt(243)*-2))**2.\nAnswer: 1631\/324 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*n - 16, -1501*n + 1497*n + 34 = -3*b. Let i(j) = -5*j + j**2 + 2*j + 4*j. What is i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126.98 - 128. Let n = z - -1.069. Round n to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -83*u - 8. Let q(w) = -3*w**2 - 122*w + 207. Calculate q(c(g)).\nAnswer: -20667*g**2 + 6142*g + 991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-12) - 2\/8. Let f(w) = 6*w**2 + w**3 - 3*w**h - 3*w**3. What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 420480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + (sqrt(3888) - (3 + (sqrt(3888)*-1 - sqrt(3888)))) + 1)**2.\nAnswer: -576*sqrt(3) + 62212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/11)*s**(4\/5))\/((s**(-1\/15)*s)\/s**(-2\/47)) assuming s is positive.\nAnswer: s**(8506\/7755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1, o: 2}. Give prob of sequence ua.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 240 and 29.8.\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 4*g**3\/3 + 5. Let t(u) = 2*u. Calculate r(t(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14211, -12278, -7031, 3186, 20029, 45154?\n\"Answer: 276*y**3 + y**2 - 2*y - 14486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -69. Let y(r) be the first derivative of 0*r + 3\/10*r**s + 7 - 1\/5*r**6 - 4\/15*r**3 + 4\/25*r**5 + 0*r**2. Let y(u) = 0. Calculate u.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/14*8*200\/50?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 6. Suppose 5*p - 11 = -2*d, -2*d + v*p - p - 7 = 0. Is d\/(-7) - (-2712)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3143 and 325076?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*h + 12, 32*i - 33*i + 6*h = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.70086 + -1.7. What is p rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 7 + 1 + (-2 - 1 - -5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*i**3 + 0)*(-1 + 5 + 3) - 4 + i**3 + 4 + 2*i**3 + 4*i**3 - 4*i**3 to d + x*i**2 + c*i**3 + f*i and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 265a956a3 - -3?\nAnswer: 265a956a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055709 rounded to 4 decimal places?\nAnswer: 0.0557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/12 and 61\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let g(i) = 6*i + 0*i - 6*i + 5*i**2. Calculate t(g(w)).\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119651384.\nAnswer: 2, 14956423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + l + 2 + l - 3*l. What is the remainder when z(9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124439 is divided by 1124248.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 14 = 12*a + 46 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/9))**11*h**(1\/11)\/h*h**(-4\/5) assuming h is positive.\nAnswer: h**(3389\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 284 = -11*q. Let d = 621 - q. What is the remainder when d is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -187, -384, -581, -778, -975?\n\"Answer: -197*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185976 + -121019. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1304*o**3 - 21*o**2 + 187*o + 8. Let w(b) = -435*b**3 + 7*b**2 - 62*b - 3. Let m(s) = 3*j(s) + 8*w(s). Find the third derivative of m(t) wrt t.\nAnswer: 2592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2046 - 1999. What is the remainder when 281 is divided by v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {m: 3, o: 1, g: 1, v: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 - 1.1. Let o = -0.1 - w. Sort o, 3, -0.3 in decreasing order.\nAnswer: 3, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*b**2 - 424*b**3 + 36*b**2 - 3*b**2 to the form u*b + g*b**2 + m + x*b**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*a + 24, 3*r + a - 2 + 0 = 0. Let m be 0*(-1)\/(0 - 1). Find the first derivative of 5 - 2 + m + r*l**3 wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4 + 124*p**3 + 552*p**2 - 19504*p + 35840 = 0.\nAnswer: -14, 2, 10, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 2*h. Let q = h + 9. Suppose 5*d + q*d = -1500. Round d to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2) + (-1 - -1). Let x = 0 - l. Is 570\/5*(-1)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 0.064?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 7, t: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-15)*(-1)\/(6\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7783 = 302*i - 2620 - 6080 + 477 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4)*(-4)\/(-5). Let u be (-12)\/15 - 8\/(-10). Suppose -o - 3*h + 16 = 0, 16 = 5*o - u*h - h. Solve o*p - 14 = -p - a, -p = -a + y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25133 times -16\nAnswer: 402128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16099*n**2 - 32210*n**2 + 3529 + 16110*n**2 in the form r + f*n**2 + m*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -283961, -283959, -283957, -283955, -283953, -283951?\n\"Answer: 2*s - 283963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -2112310?\nAnswer: 2112333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/13)*c**(-25)*(c*c**43)**(-2))**(-3\/5) assuming c is positive.\nAnswer: c**(4362\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*v**6 - 2*v**3 + 189*v**2.\nAnswer: -7440*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -364, 0.11, 0.1, 13, -0.3 in descending order.\nAnswer: 13, 0.11, 0.1, -0.3, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/27 - (-116)\/36. Suppose 15 = -k*m, -3*f = -2*f - 5*m - 183. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -541 by 274775.\nAnswer: -541\/274775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/11, -2, -0.5, -0.3 in increasing order.\nAnswer: -2, -0.5, -0.3, -1\/11, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6811 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: Divide 52 by -26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*b - 451*b + 16291 = -577*b + 39501 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11.462+141588\nAnswer: 141576.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 905561, 5.\nAnswer: 5, 6, 905561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*f - 1, 5*t - 2*f - 8 = 0. Suppose 6*i - 675 = i. Suppose 0 = t*o - 3*n - i, 5*o - 4*n = n + 325. Calculate the greatest common factor of o and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 316*(0 + 1\/2). Let o = -14 + g. Suppose 0 = -l + o + 5. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 155 - 130 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1116 times -0.9?\nAnswer: 0.10044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u + 2*u - 3*u + (0*u + 0*u - u)*(-1 - 1 + 4))*((-5 + 4 - 1)*(-6 - 5 - 1) - 3 + 4 - 2 - 4 + 0 + 5) in the form w*u + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0, -7.4761, 5, 3\/7 in descending order.\nAnswer: 5, 3\/7, 1\/4, 0, -7.4761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25929*j = -25890*j - 780 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.1 - 18. What is the third biggest value in 2\/9, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 2 + 10. Suppose 3*a + 2*d + 6 = c, a - 2*d = 12. Suppose 0 = -0*k - a*k + 116. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20 + (-10 - -28))*3\/(-6). Which is the nearest to j? (a) 0.5 (b) -4\/7 (c) 0 (d) -1.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124, 189, 232, 241, 204, 109?\n\"Answer: -2*u**3 + u**2 + 76*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -0*x. Let q(h) = x*h - 2 - 6*h + 8*h + 3. Give q(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 + -196. Suppose -5*d = x*u - 80, 0 = 2*d - 2 - 0. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 8*k + 2. Let l be r(9). Which is greater: l or -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/126)\/((-58)\/(-1421))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/3 + 11\/(77\/13636) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3595, 3577, 3549, 3511, 3463, 3405, 3337?\nAnswer: 3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 + 10 - 10)*(-3 + 3 + 2*q).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:04 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 374332.\nAnswer: 4866316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-657*w**2 + 657*w**2 + 258*w**3)*(w + 0*w + 0*w)*(0 - 6 - 6).\nAnswer: -3096*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**6\/40 + f**3\/3 - f**2\/2 - 2*f. Let o(l) be the first derivative of c(l). Differentiate o(m) with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {v: 2, u: 2, i: 3, z: 8, n: 1, q: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915757095.\nAnswer: 5, 2309, 425791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*m*q**3 - 3*m*q**2 - 3979352*m + 196318655*q**3 wrt m.\nAnswer: 5*q**3 - 3*q**2 - 3979352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = -4*q + 5*o - 93, 0 = o - 4 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41232 and 52?\nAnswer: 536016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3883*x**2 - 4*x - 54301 wrt x?\nAnswer: 7766*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 69*i. Let v(x) = 71*x - 1. Suppose 238*t = 237*t + 2. Let w(u) = t*v(u) - 3*a(u). Let m(h) = 3*h. What is m(w(r))?\nAnswer: -195*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 4 - (62 - (-14 + 9 + -8 + 19))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c4a94 + 0?\nAnswer: -c4a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44144 and 9345.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 0*u = 3*u. What is the third derivative of -12*m**4 + 17*m**2 + u - 7*m**2 + 0 wrt m?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/60 and 131\/131034.\nAnswer: 1310340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*i*p**4 - i*p**2 + 201*p**4 - 19798*p**2 + 2*p wrt p?\nAnswer: -912*i*p + 4824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-420)\/8) + 4\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6902, -14034, -21166, -28298?\n\"Answer: -7132*i + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*n + 9 - 28*n + 159*n)*(3 + 2 - 2)*(3 + 5*n - 5 - 4*n) in the form x*n + t + g*n**2 and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*u - 1341 = 3781 + 125 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*-26*(147\/(-12) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -163587.\nAnswer: -163587, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -45. Let t be (5\/r)\/((-3)\/36). Let h(y) = y**2 - 7*y + 6. Determine h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-25)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - -10010111111100?\nAnswer: 10011000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*p**3 + 1736*p**2 + 7688*p = 0.\nAnswer: -62\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from {w: 4, l: 15}?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -82. Solve 3*u + 2*w = -1, m*u - w = 13 + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*i - i + 4*j, 20 = -4*j. Let y be 224\/7 + -3 + 1. What are the prime factors of 4910\/y - 2\/3*i?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -550 <= -598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55129*m*q**2 + 11*m*q - 22*m - 5*q - 1 wrt q?\nAnswer: -110258*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14211.7834 to the nearest one hundred.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(117) + (-2 + sqrt(13))*-6.\nAnswer: -3*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8495 - 274*r + 8492 - 342*r - 135*r.\nAnswer: -751*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8312647 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361 divided by -10?\nAnswer: 1361\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -347 - -256\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g - 15. Let s(j) = -11*j + 10. Determine -5*k(h) - 7*s(h).\nAnswer: -3*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.117 and 72.\nAnswer: 72.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose -50 = -2*j + z. Suppose 4 - 13 = -u. Calculate the remainder when j is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**3 - 4*s**2 - s + 5. Let b(g) = -7*g**3 - 2*g**2 - g + 2. Let y(p) = 5*b(p) - 3*t(p). What is y(3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 36*t**2 - 39*t - 73. Let n be l(-37). Let y be -1 - -38 - (n + -2 + -4). What is the highest common factor of y and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 43*p**2 - 135*p**2 + 51*p**2 + 43*p**2. Let m(y) = 834*y. Determine m(w(a)).\nAnswer: 1668*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 11}. What is prob of sequence otto?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124.6 + -125. Which is the closest to -0.2? (a) 5 (b) 1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Let m(b) = b - 1. Let r be m(n). Suppose -t + 4*d = -30, 0*d + 160 = r*t + 2*d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 164427837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4522.462l to millilitres.\nAnswer: 4522462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -1328?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 2\/9, -2\/9, 0.53, 9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 5*t - 5. Let p(k) = 4*k**3 - 6*k + 6. Determine -5*p(z) - 6*v(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x, -3*f + x + 11 = -5*f. Let q be (-2)\/f + (-96)\/(-60). Does 11 divide (3 - 5) + q + 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -1, 823?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2123 + -2064. Solve -7*z - 66 = -p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122, -551, -1266, -2267, -3554, -5127, -6986?\n\"Answer: -143*h**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*t**3 + 2*t**2 - 1?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -3 (b) 0.3 (c) -4\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -5, -1230 in ascending order.\nAnswer: -1230, -5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 534179*o**4 + 2*o**2 - 162564*o.\nAnswer: 12820296*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120774695 by 5.\nAnswer: -24154939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:59 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3222 - 0?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s*z**4 - 2*s*z**3 + 3*s*z**2 + 41*s + 9*z**4 + 4 wrt z?\nAnswer: 192*s*z - 12*s + 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -570737.\nAnswer: 10\/570737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweee. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134794649 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -10, 24, 92, 206, 378?\n\"Answer: 2*o**3 - o**2 + o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1 (b) -1.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1)**2 + (sqrt(300)*3)**2.\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*(n*n**(-6))\/n)*n)*n**(-12))\/((n**10\/n)\/(n**11*n)) assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:19 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-369)\/(-33) - (-18)\/(-99). Let k(c) = 2*c**2 - 23*c + 22. Does 2 divide k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 145\/4, 2 in decreasing order.\nAnswer: 145\/4, 2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95432.3l?\nAnswer: 95432300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g - 4. Let d be c(7). Let y = d - -8. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6075*x**2 - 341*x - 3595*x + 375*x wrt x.\nAnswer: 12150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -140. Let z = g + -98.1. Which is the second biggest value? (a) z (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 22836 = -14*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*-8*(-3)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 - -126. Suppose b = 5*f - 1679, 2*b = -2*f - n*f + 674. Let m = f + 617. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o, 4*o = -2*s - 0*o + 86. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 20 = 0, -3*p - p - 348*n = -344*n + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3)*(-18)\/3. Let s(a) = a**2 - 2. Let q(t) = 1 + 76669*t - t**2 - 76669*t. Let d(b) = w*q(b) + 2*s(b). Let l(o) = 11*o**2. Determine l(d(g)).\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235839034*l - 110140383?\nAnswer: -235839034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffrnfrnfrnfn. What is prob of picking 3 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**4 + 17*m**3 - 9*m**2 - 12*m + 1. Let o(j) = -38*j**4 - 50*j**3 + 26*j**2 + 36*j - 2. Let h(y) = -5*o(y) - 14*s(y). Factor h(v).\nAnswer: 4*(v - 1)*(v + 1)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 48 - 48 - y**3.\nAnswer: -y**3 - 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. Suppose 5*x - 3*x - 16 = f. Let w = -1946 - -2010. Calculate the highest common divisor of x and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -97.\nAnswer: 7\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (-2 + (-12 - -30)). Let z(a) = 22*a**2 - 4*a + 4. Let u(c) = -c**2 + c - 1. Calculate p*u(j) - z(j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -295, 18754, -5?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38.35959 and -1.2?\nAnswer: 39.55959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = 30. Let y = -12 - -6. Let x be (z\/(-35))\/((-2)\/y). Which is the third biggest value? (a) x (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3999)\/50 - (-1079 - -999).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -72. Let o = d - -50. Calculate the greatest common factor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t - 2940 = -3325 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69, -124, -143, -120, -49?\n\"Answer: b**3 + 12*b**2 - 98*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002864 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1685 divided by -195?\nAnswer: 337\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 41. Let f be 1 - -2 - (0 + q). Sort -13, 3, -4, f in decreasing order.\nAnswer: 3, f, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573 + 586 - (-1 + -4 + (-3 - 13)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 26 = 3*q, q = 3*r - q - 27. Suppose -4*z - r*z = -1243. What are the prime factors of z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3267323 divided by 33.\nAnswer: -3267323\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/10 + 9*t**5\/20 - 5*t**4\/4 - 3*t**3\/2 + 104*t**2 - 1. Let o(v) = 0. Calculate v.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(375) - (sqrt(375) - (sqrt(375) + -2*sqrt(375) + sqrt(375)))))\/(-6*sqrt(320)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 215\/(-3)*((-134136)\/540)\/(-207)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3517993760?\nAnswer: 2, 5, 21987461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/116)\/(-3)*34\/(-1683)*-33.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 - 132*m - 99072 = 0.\nAnswer: -192, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -99851.28 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjwwwfff. What is prob of sequence jfw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -78*i + 39*i - 8 + 36*i. Let w be (-5)\/((-5)\/2) - 14. Let v = 6 + w. Give b(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10272798*-0.5.\nAnswer: -5136399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, -229, -137 in descending order.\nAnswer: 3, -29, -137, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdvybx. What is prob of picking 1 y and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2) + 1\/1. What is the common denominator of (-25)\/6*5\/y and (-3 + (-690)\/(-144))*(-6)\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.947 + -69.947. Let m = 8 + -4. Which is the nearest to 2? (a) m (b) 5 (c) -1\/3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(1053) + sqrt(1053)*-2)*3 - (3 + -6*(sqrt(1053) + sqrt(1053)*1 + sqrt(1053) + sqrt(1053)) + -1))**2.\nAnswer: 39312*sqrt(13) + 1860196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486857945.\nAnswer: 5, 7, 29, 31, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2 + 7 + 44*b - 4. List the prime factors of v(5).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*r - 118*r + 60*r + 0*r + 4*r - 5*r + (0*r - 2*r + 3*r)*(2 + 0 - 4) - 1 + 1 + r - 2*r + 4*r + r + (2*r - 2*r + 2*r)*(4 - 5 - 1) + 2*r - 4*r + 0*r.\nAnswer: -154*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*k + 377 = -205. Solve -2*o + 33*p = 32*p + k, -5*o - 4*p = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a factor of 182755544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 130062 or 0.2?\nAnswer: 130062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(640) + sqrt(640) + -2*sqrt(640) - sqrt(640))\/(sqrt(44)\/sqrt(176) + sqrt(4)))\/((sqrt(8)*-2 + sqrt(2) + (sqrt(18)*1)\/sqrt(9))*1))**2.\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, -17, 1, -1\/2, 1\/5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1041348 and -155\/446292.\nAnswer: 3124044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:03 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-352)\/210 - (0 - 2). Let b = h + 10\/21. What is the second biggest value in b, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 42561.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1896\/11, -3, -2\/9, 0.04?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/11, -0.244, -2, -4, 1\/5.\nAnswer: -4, -2, -0.244, -2\/11, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1873 = -5*v + q + 1392, -2*v - 3*q + 1289 = 0. Suppose 19*x - 30 = 4*x. Suppose 0 = -3*b - i - v, 2*b + 204 = x*i - 220. Round b to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -6232758432166?\nAnswer: 6232758432165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 125045*u + 1125405. Determine c(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:02 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344 (base 7) in base 4?\nAnswer: 202331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094239423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 157 and -9.7796.\nAnswer: -1535.3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 1\/124, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 + 2*z - 39. What is d(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100010100101111011 (base 2) in base 10?\nAnswer: 403835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, v: 2}. Give prob of picking 1 v and 1 p.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/(i\/(i\/(i\/(i*i\/(i\/(i**(1\/4)\/i)))))))\/((i\/(i*(i*i\/i**8)\/i))\/i)**(-2\/11) assuming i is positive.\nAnswer: i**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)\/y)**(-19) assuming y is positive.\nAnswer: y**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000307852 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3 (b) -37 (c) -1\/6 (d) 16 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4bf - -1a78?\nAnswer: 15b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23694*a*l**3 + 20536*a*l**2 - a - l**4 wrt l?\nAnswer: 142164*a - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*l = 859*l + 1218*l - 28440 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/598 + 6\/299 - (-2)\/13\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - 187*r**2\/5 - 377*r\/5 - 189\/5.\nAnswer: (r - 189)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6) + (-18)\/27 + 22. Let r be (9\/((-18)\/k))\/(-2). Solve -r = -8*z - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 * -4.1.\nAnswer: -0.1107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 3. Let b(t) = t - 3. Let c be b(f). Suppose -c*d = -5*g + 1 - 5, -3 = 5*g - 3*d. Solve g = -3*o + 7*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -455 in -0.02, 0, -2\/5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (241038\/2394 - 99) + -2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2. Let t(w) = -2*w**2 - 4. Calculate k(t(u)).\nAnswer: 12*u**4 + 48*u**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 4:02 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8)*(4 - 2). Suppose -2*p - 5 = -x, 5 = -4*p - p. Suppose 2*o + 4 = x*y, -3*o = 2*o + 10. Do k and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 380*j. Let w(k) = 34*k. Give w(n(h)).\nAnswer: 12920*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1107 - 2173 = -4*x, -3*x + 15 = 0. Let w = s - 373. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 14 - 75*c + 14 - 30*c. Suppose -i + 168 = 5*d - 143, -3*i + 3*d = -933. Let r(k) = 2*k + i - 311. Calculate r(a(m)).\nAnswer: 2*m**2 - 210*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-3 - 1) + 3). Let m be c\/1 + 5 + -8. Let j be 1 - (m + 1 - 1). Solve -5*i = -4*o + 21, -o + 2 = -i + j*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**5\/25 + 133*s**4\/5 + 35906*s**3\/15 + 35112*s**2\/5 + 34848*s\/5 - 1239. Factor f(z).\nAnswer: 2*(z + 1)**2*(z + 132)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 20 = 5*u, u - 44 = -5*z. Let c = z + -5. Solve -2*s = c*x + 7, 4*s - 31 = -3*x + 6*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, -482.5, -13 in decreasing order.\nAnswer: 0.3, -3, -13, -482.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -20) + -7 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35421 = 10203*n - 21362*n + 10654*n + 26189 for n.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5\/8 + 173*z**4\/8 - 6441*z**3\/8 - 11093*z**2\/8 - 2241*z\/4 = 0. Calculate z.\nAnswer: -83, -1, -2\/3, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/((21 - 20)*(-2)\/(-44)). Let d = y + 828. List the prime factors of d.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 1. Let x be d(-8). Is x at most as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -937 - -606.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1060 by 265.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6200 is divided by 1206?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 115.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*r + 13, 0*r = s - 2*r - 13. Suppose 6*i - i + s = 0. List the prime factors of (12\/(-20))\/(i\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:02 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 52 = q, q - 3*v - 15 = 42. Suppose 0 = 3*d - 4*d + q. What is the greatest common factor of d and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -106.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*q + 16, b = -2*q + 4*q. Let g(l) = -l**2 + 10*l - 1. Let i be g(10). Let r = i - b. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (6 + -36 + 19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1297, 1\/65, -170\/23, 0.1, -1\/5?\nAnswer: 1297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(0 + (-2 - 0)). Let u(m) = -2*m - 6*m + t*m. Let g(k) = -k**2 + k - 1. Let p(j) = 35*j**2 - 30*j + 30. Let w(i) = 30*g(i) + p(i). Give w(u(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 10 = 2*n - 13*t, -4*n + 20 = -4*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2938 - -17535. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -70.808. Let f = 23.592 - s. What is f rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-84) + (-4)\/14. Suppose 137 = -4*x + 249. Let d be x\/8*(-3)\/14. What is the nearest to g in 2\/19, 1.3, d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 1. Let c = -5 + 5. Let j(b) = -5 + c*b**2 - 1 + b**3 - b - 4*b**2. Let g(r) = -j(r) - 5*m(r). Let g(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756800 rounded to the nearest 10000?\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 96 = -12*h. Suppose -8*a + 9*a = -40. Is 50\/a + 202\/h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -3*s - 5*d, 0 = -3*s - d + 30 + 2 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/(14\/(-240)). Let u = -1\/49 + -1271\/147. Let p = u + a. Do p and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85983066 to the power of 1\/2, to the nearest integer?\nAnswer: 9273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 132*y**2 + 5*y**2 + 2 - 77*y**2.\nAnswer: y**3 - 204*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1846 + -1846.3. Which is smaller: f or -429?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 102.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*f + j + 488, 2*f + 188 = j. Let c = f + 136. Suppose 10*h = 2*h + c. Solve h*x + 6 = 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w + 68 - 52. Let u(b) = -b**2 - 2*b + 1. Let x be u(-2). Sort x, -4\/3, w in increasing order.\nAnswer: -4\/3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**4\/5 + 348*x**3\/5 - 258*x**2 - 348*x\/5 + 1296\/5 = 0. Calculate x.\nAnswer: -1, 1, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2273 = 2*u - 2283, -2 = u + 4*b for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - ((-1 - -28) + -32 - 17).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v + 7*v. Let y be 4\/(-6)*v - 12. Let u = y + 25. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1a5519?\nAnswer: 1a551b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*y + 24 = 4*q, 9 = -3*q - 3*y. Let h = -1426\/7267 - 14\/169. Let a = h - -27\/559. Which is bigger: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73, 280, 631, 1132, 1789, 2608, 3595?\n\"Answer: o**3 + 66*o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94269 divided by 31423?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -1, 23, 77, 173, 323, 539, 833?\n\"Answer: 2*j**3 - 3*j**2 + j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36610 and 2030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/32, 31, -0.3, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (11 - (-7 + 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen tenths of a kilometer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 9 = -3*v, -v + 46*t + 12 = 48*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5477*b - 5472*b + 42, -d + 4*b = -39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let v = -1.97 - 0.03. Let n = x + v. Which is the biggest value? (a) -4 (b) n (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = -r, 4*d = 9*r - 4*r + 1. Let s = -1.6 - 1.4. What is the nearest to -5 in s, r, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j + 5. Let q(t) = 3*t + 2. Let h(l) = -4*l - 7. Let a(d) = -h(d) - 5*q(d). Give -5*a(m) - 3*y(m).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**13*b)\/b*b*(b*b**(1\/8))\/b assuming b is positive.\nAnswer: b**(121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4 - 1745*c**3 + 106929*c**2 - 206910*c = 0?\nAnswer: 0, 2, 285\/4, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a\/a**(-2\/73))\/a)*a**(-28)*(a**(-1\/22))**(2\/39) assuming a is positive.\nAnswer: a**(-846490\/31317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p - 4*p)*(1 - 6 + 0)*(0 + 2 - 1) + 2*p - 3*p + 2*p in the form y*p + q and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1913*l + 6. Is j(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Suppose -6*m + 50 = -4*m - 2*a, -2*a - 92 = -4*m. Let b be 1\/(9\/m) - 2. Sort -4, b, w in ascending order.\nAnswer: -4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2924821, -5849645, -8774469, -11699293?\nAnswer: -14624117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -5, 0, 3, -4 in increasing order.\nAnswer: -34, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10604 and 2311672?\nAnswer: 2311672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.76\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -2 - -9) + 0 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -5*r + 2464. Let y be r\/(-21)*(-5625)\/(-4). What is y rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2499)\/34)\/7*40\/30\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-9 - -1) - 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (115 + 5*y - 54 - 58 + (y - 2*y + 2*y)*(-4 - 2 + 5))*(3 + 0 - 6 + (-1 + 1 + 1)*(0 + 1 + 0)) to r + g*y and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*y + 5259 = -4967 - 14695. Are -100 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o. Let p(t) be the third derivative of t**7\/840 - t**4\/12 - 6*t**2. Let d(y) be the second derivative of p(y). Calculate b(d(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/513 and 65\/19287369.\nAnswer: 366460011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 5, 0.128, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 divided by -334?\nAnswer: 309\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.86 in 3, 1\/2, 3675?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 46*i + 5. Let k be (8\/(-20))\/((-2)\/10). Let w be c(k). Suppose 3*v - 2*y = w, -4*y = -v + y + 28. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602698.824 rounded to the nearest 10000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 14*x = -22. Solve x = -5*g + 3*l - 12, 0 = 5*g + 3*l + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -92*g + 217. What is the tens digit of w(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (6*2*sqrt(44))\/sqrt(4))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-32))\/((-810)\/36*(-3)\/6). Let t(b) be the third derivative of 0*b + 10*b**2 + 0*b**4 + 0 - 2\/15*b**5 + 0*b**3 + z*b**6. Factor t(u).\nAnswer: 2*u**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -9424762.\nAnswer: -9424759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*u**5 - 502808*u**3 - 1298251263*u**2 wrt u.\nAnswer: -16140*u**2 - 3016848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52\/19586765 or 0?\nAnswer: 52\/19586765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33072385, 33072380, 33072375, 33072370, 33072365?\n\"Answer: -5*x + 33072390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 6, 8, 0, -24?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggk. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1423234 + 100?\nAnswer: 1423334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Suppose 0 = c - x - 0*x + 6, 2*c = -2*x + 8. Let p be f(c). Suppose -55 = 33*d - 22*d. Sort p, -4, d.\nAnswer: d, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 - 174*w + 7569 = 0?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -43, -64, 5.\nAnswer: -64, -43, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(2) + -2 - (sqrt(4)\/(sqrt(8)\/sqrt(4)))**2).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(320) + sqrt(320) + 0) + 2 + 2 + -1 + sqrt(320) + (sqrt(320) - 1*(sqrt(320) + (sqrt(320) - (sqrt(320) + 1)))))**2*3.\nAnswer: 960*sqrt(5) + 24048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-800)\/120)\/(4\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9026, -9027, -9028, -9029, -9030, -9031?\n\"Answer: -l - 9025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 40 + 143 + 142)*(0*t**2 + 3*t**2 - t**2).\nAnswer: 436*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose -8 = -4*c - 0. What is the second derivative of -c*a**5 + 6*a**v - 6*a**3 + 2*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184018985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 5. Let g = 578 - 583. Let i(v) = 11*v**2 + 8*v + 14. Let y(m) = -4*m**2 - 3*m - 5. Let n(k) = -3*i(k) - 8*y(k). What is g*n(s) - 2*f(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + -115. Let n = 267 + g. What are the prime factors of n?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 89. Let c = -73.99999883 + j. What is c rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*p + 3, 3*p = -p + 5*d - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(4\/7))\/(b*b**(-14)*b))\/(b**16)**4)**25 assuming b is positive.\nAnswer: b**(-9025\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33184?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 at most as big as 552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -0.1, 2.6, 373 in decreasing order.\nAnswer: 373, 8, 2.6, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 1 + 4 + 16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**2 - 8*c + 17. Let n(q) = 4*q**2 + 4*q - 9. Let d(o) = 5*n(o) + 3*v(o). Determine d(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2450) + 5.\nAnswer: 5 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1774 (base 12) to base 3.\nAnswer: 212022122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -2.5679981.\nAnswer: -0.25679981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 817742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -49*p**2 + 9*p - 5. Let r(m) = 24*m**2 - 4*m + 2. What is 2*a(f) + 5*r(f)?\nAnswer: 22*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610378 is divided by 523?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -15. Let z = -2 + d. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -5, 128, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/355 and 2\/3.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - c**2 + 145*c**4 + 0*c**2 + 2*c**3 - 3*c - 135*c**4 as g*c**3 + d*c**2 + p + r*c + w*c**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0.2. Let a = -2735\/9632 + -17\/9632. What is the closest to a in -1, -5, g, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5078 and -1365766\/269 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11347, -16563, -21779, -26995?\nAnswer: -32211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aayayayyyayyyaayyyy.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24490715 is divided by 125.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1419 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 + 5582*p**2 - p**3 - 5582*p**2.\nAnswer: -p**3 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9307\/8 - 2037977\/1752. What is the common denominator of -1\/396 and a?\nAnswer: 28908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4380759?\nAnswer: 3, 643, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28029 is divided by 501.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(-1 - 3). Let l = 29 - -69. Let i = l + -97.6. Which is the smallest value? (a) r (b) i (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -29*o**7\/7 + 122*o**5\/15 - 3*o**2 - 32. Find the third derivative of u(z) wrt z.\nAnswer: -20880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t = 119*t + 30*t + 48*t + 17485 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65 and 524.6905435.\nAnswer: 589.6905435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51822234.\nAnswer: 2, 3, 19, 53, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59568830 is divided by 15096.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145006?\nAnswer: 2, 181, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*m - 33*m - 354*m - 1 - 341*m - m**4 in the form g*m + h*m**3 + l + y*m**2 + t*m**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -147*c - 42. Let q be d(-9). Suppose 0 = -88*x + 91*x - q. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001001001 (base 2) to base 11\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5427 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -110 in -8, 0, -0.3, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 5) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Let c(f) = 2*f + 426. What is i(c(w))?\nAnswer: 4*w + 852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5))**(3\/13) assuming o is positive.\nAnswer: o**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 13*h - 26. Calculate the smallest common multiple of a(8) and 117\/12 - 2\/(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5754967847, -5754967846, -5754967843, -5754967838?\nAnswer: -5754967831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 198*u**2. Let o(h) = 56613*h**2 + 2. Determine o(w(a)).\nAnswer: 2219456052*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1473*h**2 + 5 - 2200*h**2 + 2957*h**2 - 2210*h**2.\nAnswer: 20*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 11, -3, -1, -2 in decreasing order.\nAnswer: 11, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62108809 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243900 divided by 1626?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2720)\/152 + (-2)\/19. Let c be 268\/24 - 15\/n. Calculate the highest common factor of 432 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*s + 8*s**3 + 17*s + (-s + s + 2*s**2)*(2*s - 1 + 1) - s**3 + 2*s**3 + s**3 - 1 + 2*s**3 + 1 - 332*s**3 - 298*s**3 + 69*s**3.\nAnswer: -545*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/105)\/r*r**(-2\/113))\/((r**(-11)\/r)\/r*r\/(r\/(r*r*r**(-8)*r))) assuming r is positive.\nAnswer: r**(201269\/11865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 47\/12*q**4 + 1\/2*q**3 + 3\/2*q**2 + 0 - 4*q. Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5288275588 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (0 + 54)\/(-2). Calculate the highest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = 2*s + 2*s. Let h = s + 319. Suppose 4*f - h = -60. What is the least common multiple of f and 46?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -15784 <= 106224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 - -137. What is the first derivative of -u + 3*a - 1484*a**2 + 1481*a**2 - 2*a wrt a?\nAnswer: -6*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from wjxpctc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -38 + 104\/3*k**3 + 0*k + 26\/15*k**5 + 24*k**2 + 1\/18*k**6 + 193\/12*k**4. Let y(i) = 0. Calculate i.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t + 5*z - 32, 4*z = -5*t + 79. Solve 0 = -t*u + 4*u - 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385054758 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61 - 6*o - 12*o - 3*o - 12*o wrt o?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 + 4515*n**2 + 2258*n + 751. Determine b(753).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:57 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 102*v - 86. What is the remainder when b(-36) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54764269452 + 23266101651. Let g = -31498167827.299999477 - w. Let a = -26.3 - g. What is a rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471, 4, 53 in decreasing order.\nAnswer: 53, 4, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3747*c - 4. Is k(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 + t**3\/6 - 3*t**2. Let f be q(6). Let w = f - -10. Solve -2*g + 6 = 3*r, 0 = -w*r + 30 - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-2*c**2 - 2*c**2 + 6*c**2) - 2 + c**2 + 2 + 2*c**2 - 4*c**2 + c**2 - 14*c**2 + 72 - 72 + c**2 + c**2 - c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 13*h = -969. What is the remainder when h is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14475*n**2 - 60*n**3 + 14476*n**2 - 3 + 3 + 107*n**3 - 49*n**3.\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 5:11 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (78 - (17 + 29))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67, -150, -297, -514, -807, -1182?\n\"Answer: -q**3 - 26*q**2 + 2*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 12 (b) -0.13 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455709.\nAnswer: 67, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 13300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -7\/4, -5, -4\/59, -304?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.673 minus 0.11?\nAnswer: 0.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134211533?\nAnswer: 367, 365699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-18))\/(4\/(-2))*(-15)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 + 2*x**2 - 10*x + 7. Let k be h(-4). Let u = k + 115. Suppose -4*r + u = -530. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daakakktaaaa. What is prob of sequence aak?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -h, 1 = 2*v - 1. Suppose h = -c + 2*t, -15 = -c + 2*c - 5*t. Suppose 0 = 5*n - c*n - 100. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 21 = -5*p. Let m be 1\/(-1) - (0 + 1). List the prime factors of p + 8 - 2\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, y: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*l**2 - 23*l**2 + 51*l**2 - 8*l**3)*(-l - l + 0*l).\nAnswer: 16*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 3626?\nAnswer: 3626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 498030 and 165.\nAnswer: 5478330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -1\/5 (b) -140 (c) -0.4 (d) -1\/4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(216))\/(sqrt(1452) - sqrt(1452)*-1))**2.\nAnswer: 9\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 31*a + 567 = 32*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 11, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325\/(-100)*-1*8.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let a(l) = -l**2 - 2*l. Let c(n) = 2*a(n) - 2*x(n). Let t(u) = -4*u. Give c(t(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -m. Calculate the remainder when 88 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 = -2*o, 3*o - 5 = 2*o. Suppose 1 = c*t + 15. Let u(r) = -r**2 - 9*r - 6. Is 3 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*g - 54*g - 63*g - 55*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-132)\/(-15))\/2 - 4. Suppose -4\/5 + 6\/5*t - q*t**2 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v. Let w(p) = -p**2 + p. Let k(l) = 5*d(l) + 4*w(l). Factor k(c).\nAnswer: c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1382 (b) 2\/3 (c) -0.14 (d) -0.3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10 - 70. Suppose b = -o + 7, 3 + y = -3*o + 5*b. Solve o*m - 1 - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**3 - 25*d + 8*d - 41*d wrt d.\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*w**5 + 1\/2*w**4 + 0*w - 1\/2*w**3 - 1\/2*w**2.\nAnswer: w**2*(w - 1)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r + 3. Let l(y) = -4*y**2. Let g(w) = -w**2. Let q(m) = r*g(m) + l(m). Let o(h) be the second derivative of 2*h**3\/3 - h. Give q(o(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 235, 517, 901, 1381, 1951, 2605?\nAnswer: 3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -24*g**3 - 2*g**2 + 3*g. Let y(r) = -25*r**3 - 3*r**2 + 4*r. Determine -4*l(s) + 3*y(s).\nAnswer: 21*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0, 115, -8, 5 in ascending order.\nAnswer: -8, -4, 0, 2, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-6 + 3)*1. Let v(a) = a**2 + 5*a - 6. Let z be v(y). Let w(k) = -k**2 + k + 68. Is w(z) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 1. Let r(s) be the third derivative of s**3\/6 + s**2. Let l(k) = k**2 + k - 45. Let u be l(-7). Calculate u*r(n) + 3*x(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206*a**2 + 18*a**2 + 37*a**2)*(1 + 0 - 2 + (4 - 3 - 3)*(-2 - 2 + 3) + 1 + 1 - 3 + 1 - 1 + 1 - 2 - 3 + 7).\nAnswer: -453*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 9, -27, -77, -141, -219, -311?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.491 and 1113.\nAnswer: 1113.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -345*y + 114. What are the prime factors of a(-13)?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(2\/15))\/f)\/f)\/(f**(-1\/14)*f)*f**10*((f*f**(-1\/9)*f)\/f)\/f)**(2\/43) assuming f is positive.\nAnswer: f**(5099\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 + 114. Solve 4*i = -4 - t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -93, -201, -331, -471, -609, -733?\n\"Answer: 2*v**3 - 29*v**2 - v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021 (base 3) in base 6?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 57739?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9394, -9391, -9388?\nAnswer: -9385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = -28*z - 486 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 973*g - 25292. Determine x(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1288302 + 24*x**2 - 3*x + 1288291 + 0*x - 107*x**2 as y*x**2 + o*x + k and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*p - 61, 3*u = 4*p - 6*p + 46. Let k be ((-2 - -2)\/(-2))\/(u - 10). Are k and 7\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 4386*n - 147968.\nAnswer: -(n - 4352)*(n - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 4*r**2 + 32*r + 10. Let d be q(8). Let l be (-39)\/d - 6\/10 - -4. Which is the closest to -1? (a) 5 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/18*606\/4626. Let u = w + -1\/514. Which is the third biggest value? (a) -0.038 (b) -2 (c) 0 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -38 - 1 - (0 - 2). Let c = t - -25. Let h = c - -39. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157383304 or -157383305?\nAnswer: -157383305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4540\/7, -1\/4, 955.2.\nAnswer: -1\/4, 4540\/7, 955.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11352 and 1529682?\nAnswer: 6118728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wcmtmmmwm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o + 2*o. Let h(i) = -i + 10. Let d be h(5). Suppose d*k = 30 + 10. Solve 2 = o*p - k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqk when four letters picked without replacement from {o: 2, k: 2, s: 1, u: 1, q: 10}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/(-25))\/(1\/(-15)*-1). Suppose -r + 396 = v - 5*v, -396 = 4*v + r. Let t = n - v. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -145. Let b(r) = r - 4. Let l be b(7). Let f = 7 - l. Put g, -5, f in increasing order.\nAnswer: -5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and -33\/2380?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 194640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i - i**3 + 2*i**2 - 16*i + i**2 to the form z*i**3 + c + t*i**2 + y*i and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2518, 4990, 7462?\n\"Answer: 2472*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**4\/9 + 43*v**3\/9 - 26*v**2 - v + 560. Factor r(l).\nAnswer: -2*(l - 2)*(2*l - 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 7*p - 52 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 103*h + 921. Calculate t(93).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.7, 1, -0.03, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drr when three letters picked without replacement from ddddddddddddddr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5599266?\nAnswer: 5599269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**4*w - h*w - 152*w wrt h?\nAnswer: 4*h**3*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*b + 179*b - 3*x = 63, 0 = -3*b + 5*x + 57. What is the least common multiple of 321 and b?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 28*d - 82. Let v be z(3). Solve -2*j + v = -6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 3*m**2 + 3*m - 5. What is q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 41*i = -52 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8863 - 8862.5. Put n, 157, 0.02 in ascending order.\nAnswer: 0.02, n, 157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4000 divided by -500.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2102591\/3 + 700869. Factor -4\/9*z**2 + 20 + t*z.\nAnswer: -4*(z - 15)*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47645360 to the nearest 100000.\nAnswer: -47600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:58 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/(10\/(-180)). Suppose -6*z - u = -7*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393 - 35 + 414 = 19*n - 273 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 179*o + 16 = 2*b - 183*o, 4*b - 9*o - 7 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/42 + (46\/(-690) - (-46)\/(-210))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*f - 2*f**2 - 146*f + f**2 as v*f**2 + o + b*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 124*o + 196. What is the units digit of j(33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 90 = -84. Let v = -39 - c. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-2275)*-13 + (-5)\/14. Which is the third smallest value? (a) -5 (b) 5 (c) -0.9 (d) -0.3 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, j: 2, y: 1, a: 12}. Give prob of picking 1 y and 3 a.\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 12. List the prime factors of t(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-22)\/d*d**(-14)*d)**1 assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 5*l**2 + 60*l + 14. Does 15 divide y(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.22766535 rounded to 3 decimal places?\nAnswer: -2.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + u - 5*u = 6, -w + 7 = -3*u. Sort w, -17, -5, -3.\nAnswer: -17, -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 47, -0.4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)**(9\/7))**46)**(-5\/7) assuming a is positive.\nAnswer: a**(-2070\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6)*85\/(-15)*-3)\/((-474)\/4266).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1392 and 624.\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29051 + 31470. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5850 - -20915. Is 131 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126.9 + 130. What is the nearest to 2 in s, -0.4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10291222.\nAnswer: 2, 17, 53, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15254 - -22986. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 10*b - 7. Let v(o) = 3*o**2 - 11*o + 7. Let y = -4 - -8. Let g(k) = y*z(k) + 3*v(k). What is the units digit of g(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 25 = 5. Let w be 15\/g*40\/6. What is the second biggest value in w, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/5)*(r*r\/((r*r**(-7)*r*r)\/r)*r)\/r*(r*(r\/((r\/(r*r\/(r*r**0)*r))\/r)*r)\/r*r)**(-10\/11) assuming r is positive.\nAnswer: r**(168\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + (4 + -17 + 5 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/14915 and -67\/5220.\nAnswer: 15571260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + 31 - 8 - 3 - (57 - -4).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -77. Solve -2*c = m*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1782 = -19*h. Let i(f) = -2*f**3 - 5*f**2 - 2*f + 2. Let c be i(-4). Let z = c + -37. What is the remainder when h is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2332893.9 months?\nAnswer: 19440.7825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*n - 282*n - 1404 = 0. What is the remainder when n is divided by 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -284*i + 1149. Give h(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001101010101 (base 2) in base 11?\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 81. What is the fourth smallest value in -4, w, -0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 15 = -2*k. Suppose s - k = -0*s + 5*i, 2*i + 16 = s. Solve s = g - 6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(3\/300*40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 131 + 107 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-22))\/(71\/781)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d9 (base 15) to base 6.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/5 + 7565054*q\/5 = 0. What is q?\nAnswer: -3782527, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - d**2 + 3 + (0*d + 0*d + d)*(3*d - 4*d - d) + 3 + 1531*d**2 - 1526*d**2 + 2.\nAnswer: 2*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 4*x**2 + 4*x**2)*(-8 + 2 + 2) + 3 - 3 - 2*x**4.\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(6\/33))\/(9\/18). Solve -r*b - 32 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 = -q + 264 - 563 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15*9\/(-15)*-61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + 8*f + 5. Let z be p(-3). Let b(h) = h**2 - h - 1. Let u be b(0). What is the closest to z in u, 1\/6, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*p + 510, 5*x = -0*x - p + 820. Let s be 8\/x*(-57)\/(-4). Let a = s - 3\/5. Is 0 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5 + 30*i + 3 - 8*i**2 - 48*i - i**3. What is the remainder when 164 is divided by w(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27539*p + 247845. Calculate a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 6*q**2 + 2*q - 8. Calculate c(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from kzakav?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-65) + (-12)\/30. Sort u, -4, -0.5 in descending order.\nAnswer: u, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -156034\/4059, 0, 4?\nAnswer: -156034\/4059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -36. Let i = -23 - m. Let f = i + 16.9997. Round f to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 = 3*h, -40 = -4*m + h - 5*h. Solve -3*y = -2*f - 4, 5*y - 3*f - f - m = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 4 - 1046*o**2 + 408*o**2 - 4*o + 344*o**2 to v*o + k*o**2 + y and give k.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8860199 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15224.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -11. Let m(d) = -d**2 + d + 2. Let h be m(b). Let s(l) be the first derivative of l**4\/4 - 2*l**3\/3 + l**2\/2 - 2*l - 3. What is s(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1)*-1)\/((-66)\/(-231))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6309\/325965*(14\/(-3) + -2).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -2bb44?\nAnswer: 2bb43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 equal to -3087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 21 - 12*x - 4 - 124*x + 3*x to l + v*x and give v.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -63.2. Let h = -12 + p. Let y = -2026.8 + 2027. Which is the closest to y? (a) h (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*y - 1645, 3*a - 2*y = 5*a - 656. Let t = a - -21. Is 59 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let v be c(-6). Suppose 101 = -6*j + v*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*o - 4*k + 8720, 2*k + 8 = 0. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.226, -1\/2 in ascending order.\nAnswer: -2, -1\/2, 0.226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -4122?\nAnswer: -411b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12629 is divided by 550.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -115967 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 55 = 7*a. Let z(v) = -18*v - 9. Let j(q) = -6*q - 3. Let x(o) = 8*j(o) - 3*z(o). Let y(r) = 12*r + 7. Let g(w) = -9*x(w) + 4*y(w). What is g(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1498 + -699. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605284\/7 + 1560\/7*f**2 - 2\/7*f**3 - 305754\/7*f = 0.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 85365.11cm?\nAnswer: 853651100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 14 + 2 = 0, -3*w - 376 = -4*b. Let i = 3214 - 3071. Calculate the smallest common multiple of i and b.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.35 - 2.568. Let s = 0.48 - 0.8. Let w = s - p. Round w to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11*-1 - 1)*(-33)\/66. Suppose 0 = -4*n + 3*t + 9, -g*n + 3 = -n - t. Solve -2 = -2*l - n*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*g = -3*f - 934*g - 58, 5*f = 26*g - 214 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 37*p**2 - 61*p - 911. What is s(-36)?\nAnswer: 2581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/24 + d**2. Let b(i) = 60 - 60 - i - i. What is c(b(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/14790 and 53\/138839.\nAnswer: 120789930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n. Let s be 1*2*(n - -5). Solve s + 0 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -46\/3. Let m = -19 + 32. Let j = m + -10. Which is the closest to d? (a) -3 (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-15)\/(-72)*(-120)\/400.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 7*i + 0*i - i + 18*i - 1026.\nAnswer: 4*i - 1026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -9. Let s(j) = -j**2 - 11*j + 13. Let g be s(f). What is the highest common divisor of g and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*n**2 + 52*n**2 - 67*n**2)*(-n**3 - 4*n**2 + 4*n**2) - 208*n**3 - 2*n**5 - 2 + 408*n**3 - 203*n**3 + 0*n**5 - n**5 - 3*n**5.\nAnswer: -38*n**5 - 3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66958*z - 66924*z + 133902*z - 1142)*(-2*z - 5 + 5 + (-3*z + z + 0*z)*(-3 + 5 - 4) - z + 2*z + z) + (2*z - 2*z - 2*z)*(0 + 2*z + 0).\nAnswer: 76*z**2 - 4568*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -495 divided by -99.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 7. Let m be k(6). Let t = m - -19. Let q(f) = f**2 - 8*f + 4. What is the lowest common multiple of 4 and q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2. Let q(y) = -42*y**4 + 5*y**3 + 5*y**2 - 11*y. Let z(m) = -2*q(m) + 10*w(m). What is the second derivative of z(u) wrt u?\nAnswer: 1008*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3422306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u = 25*u - 22*u - 43 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3530 (base 7) in base 2?\nAnswer: -10100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 11*w + 3. Let q be b(-11). Suppose q*s - 97 - 44 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181, 359, 535, 709, 881, 1051, 1219?\n\"Answer: -y**2 + 181*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 1903689?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 63230.08 grams?\nAnswer: 0.06323008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-5265)*1275)\/((15\/9)\/(-5))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/952 and 9\/88774.\nAnswer: 355096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 - 3. Let u(h) = -h**3 + 5*h**2 + 2. Let q(j) = -3*u(j) - 2*z(j). Let f(n) = -n**3 + n**2. Give 4*f(g) + q(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-52)\/(-16) - 3). Solve 0*k = -4*k - s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 116*f**3 - 3*f + 2. Let q be a(-2). What is q rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/110 - 49*c**4\/66 - 14*c**3\/3 - 104*c**2\/11 - 2*c + 277. Factor s(r).\nAnswer: 2*(r - 52)*(r + 1)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40700, -40648, -40604, -40568, -40540, -40520, -40508?\n\"Answer: -4*j**2 + 64*j - 40760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 766*c - 768.\nAnswer: 2*(c - 384)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose 0 = -3*c + r*c + 4. Suppose 17 = -0*n + 2*n - m, n = -c*m + 4. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 1566127?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -6*c - 65 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j + 8. Let g be n(6). Let a be 2*(7\/g + -2). Solve 30 = -3*w - 5*z, -2*w - a*z = -5 + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-14)*2*5. Let s(a) = t - 7 - 16 + 4*a**2 - 15*a. Let p(i) = 2*i**2 - 7*i - 6. Give -13*p(j) + 6*s(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**11\/m)\/m)\/(m*m\/m**4))**(2\/17) assuming m is positive.\nAnswer: m**(22\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4209.178 rounded to the nearest 10?\nAnswer: -4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:24 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -780)*(-49)\/(-21). Let y = f + -854. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 11, 0.4, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -3, -2, -4, 1958, 4, -15 in ascending order.\nAnswer: -152, -15, -4, -3, -2, 4, 1958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - a**3 + 2*a**2 - 3 - a**3 - 6*a**2 + 6. Let r be p(-3). Let h(j) = 3*j - j - 4*j - 2 + 14*j**2 - r*j**2. Calculate h(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/(-110)*341\/62\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -25*b**2. Let d(z) = -317*z**2. What is s(d(t))?\nAnswer: -2512225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (18 - 4 - 13) - 11) + 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20915 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.973023 + 374.013723. Let z = -366 + u. Round z to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3342 - -10aa?\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/62? (a) -3\/7 (b) -0.03 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*v - 17 - 11 = 0, -r = v - 7. Suppose r*z = 2*z + 35. Solve z*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 57.1. Put -15, 0.2, r in descending order.\nAnswer: 0.2, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhzzzhhzz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-64) - (-209)\/8. Suppose -230 = -4*b - d. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372*g**5*p + g*p - 4*g - 8*p wrt g.\nAnswer: 7440*g**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-5440)\/28) + 4\/(-14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 + 10*c**2 + 4*c + 6. Let b(f) = 8*f**3 - 18*f**2 - 7*f - 10. Let i(j) = 3*b(j) + 5*l(j). Determine i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 5*w**3 + 15*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 4*n**2 - 1383*n + 1388. Calculate s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8980 in -2, 12\/5, 2?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -87. Calculate the greatest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.243 in 5, -3\/2, -4.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -170*a + 14. Let y(l) = -34*l + 3. Calculate -14*y(f) + 3*z(f).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -863, -970, -1143, -1382, -1687, -2058?\n\"Answer: -33*c**2 - 8*c - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -547.851 - 0.149. Let v = -547 - c. Put v, -1, -5, 47 in descending order.\nAnswer: 47, v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -20. Let k be (-1)\/(-3) + 91\/(-147). Let b be 10 + -11 + 2 + (-4)\/3. Sort r, k, b.\nAnswer: b, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 6 = -11*k. Does 43 divide (66\/(-15)*22)\/(1\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 707282 or 18389369\/26?\nAnswer: 18389369\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {z: 1, p: 5, y: 6, m: 2, t: 1, g: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149.458 or -1\/136?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by 4?\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/4592 and 107\/13219948.\nAnswer: 2168071472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 957 = -31*f - 16*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 30*o**2 - 2*o - 10304. Let u(c) = c**2. Calculate i(u(z)).\nAnswer: 30*z**4 - 2*z**2 - 10304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -51*a + 58327. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvbu when four letters picked without replacement from {f: 2, p: 1, b: 5, v: 4, u: 2}?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahifgfi. Give prob of picking 1 f and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 + 1 - 2*c**2 - 3*c**2 + 2*c. Let b be k(-2). Suppose -31 = -4*v - 5*g, 5*v - 3*g = -b*g + 26. Put 3, 5, v in descending order.\nAnswer: 5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5))\/(w*w**(-11)))\/(w**1)**(-39) assuming w is positive.\nAnswer: w**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 24. Suppose -b*d = -2*d - 860. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23489 is divided by 379?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 < 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 - 3*z + 9. Calculate x(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 109916037.\nAnswer: 2\/36638679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -31*a**2 + 9*a + 29. Let d(m) = 27*m**2 - 9*m - 27. Calculate 5*d(x) + 4*r(x).\nAnswer: 11*x**2 - 9*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 4614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 4, n: 5}. Give prob of picking 1 n, 1 i, and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68958232 and 336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 5*q**2 - 2*q - 35. Let f be s(7). Let r = f - -172. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060656 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 97, -1, 3, 1?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-1806))\/(78\/(-4472))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 705 and 745?\nAnswer: 105045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 3*n, 5*n = -2*a + 6*a + 5. Let x = a - 2. Let y = x - -4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -9.038557?\nAnswer: 3.6154228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45601\/8 + 5689. Let f be ((-6)\/4)\/(6\/(-8)). What is the common denominator of h and 2\/5 - (-1)\/f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -3) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3 + 0)*1. What is the tens digit of (-8)\/(-10)*(-55)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1037cc1 - 4?\nAnswer: -1037cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/3 + 3*i**2\/2 + 2*i + 2. Let k be y(-2). Suppose 60 = -k*l + 5*l. Calculate the highest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*s - 5. Suppose -3*z - y = s*y - 101, -4*y = 4*z - 132. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -73. Which is the closest to 1? (a) 0.3 (b) 2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 16*a = 0. Suppose a*r + r = 4*m - 57, 5*r = m - 209. Let l = r + 117. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 9*f + 21. Suppose 3*s - 4*k - 973 = -987, -2*s + 5*k = 21. Determine v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:33 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -177, -221, -265, -309, -353, -397?\n\"Answer: -44*q - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 4. Let f be d(0). Which is the nearest to -1\/4? (a) f (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (-14 - (-13 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5, -1\/3, 0.03.\nAnswer: -5, -1\/3, 0.03, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -177 - 2?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1214563 * 0.01.\nAnswer: -0.001214563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02034507076 rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7 - 3. Find the second derivative of -r*q + 4*q**4 - q**4 - 3*q + q**4 wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/735, -19\/8, -3?\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89891 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6289 + -6199. What is the highest common divisor of f and 3690?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -5534826.8041?\nAnswer: 5534826.7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 13*a - 3036 = 0. List the prime factors of a.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*f + 15 = 4*u - 542*f, 0 = -u + 57*f + 171 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04511 and -0.26674.\nAnswer: -0.0120326414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:48 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 9.9002.\nAnswer: 2.97006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 582*z**2 - 12877*z - 11225. Calculate p(-559).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 1 + (88 - 88) - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -106*y**3 + 21*y + 6. Let m(h) = h**3 - h - 2. Give f(s) + 3*m(s).\nAnswer: -103*s**3 + 18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-2) - -4)\/((-2)\/(-16)). Let c be j\/(-12) + 3 + (-29)\/(-3). Suppose 5*u = 5*b + c, 0 = 2*b - 4*u - 0 + 12. Solve 9 = -x - b*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**(3\/29)\/(m\/(m**(2\/11)\/m)*m*m**(-8)) assuming m is positive.\nAnswer: m**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*2)\/((66\/96)\/11). Factor 140 + t - 2*t**2 - y + t.\nAnswer: -2*(t - 3)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6788 + 6825. Solve 0 = -0*m + f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48254315.\nAnswer: 5, 151, 63913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1804\/(-121) + (-7)\/77)*(-2)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q + 40 = 0. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 4. Let g be b(3). Let u = -10 - g. Let d = -2 - -3. What is the greatest common factor of d and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34330071 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvlv when four letters picked without replacement from izllivvllidlllli.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/359, -2\/3, 1\/4, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 1. Let n be b(1). Let q(d) = 4*d**2 - d + 1. Let a be q(n). Let j be (2 - 10\/a)*12. Solve -t - 15 = -0*t + j*v, 18 = -2*t - 4*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196336 + 121270. Let g = f - 24936. Let l be (1 - -1)\/1 + g. What is l rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**4 - 2*b + 49*b**2 + 4*b**4 + 11*b**3 + 1 + 54*b**2 - 114*b**2 - 2*b**4 as t*b**4 + g*b**3 + v + f*b**2 + a*b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - k + 2*l - 14, k + 3*l = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5853561 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 278393 times 857?\nAnswer: 238582801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*b - 60*b - 64634 = 194326. Which is smaller: b or -831?\nAnswer: -831","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (-39 - 1)) + (5 - 8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - k + 2 = -1, -3 = -2*s + k. Let o be s\/(-2) - (-11)\/2. Let b = o + -8. Which is bigger: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 3*q**2 - 11*q - 1. What are the prime factors of o(4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 - 248161246*x + 15396001004068129 = 0. What is x?\nAnswer: 124080623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:52 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 634394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7866858 + -4?\nAnswer: 7866854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3336\/5, 4, 0.1, 1\/3, 0.2 in descending order.\nAnswer: 3336\/5, 4, 1\/3, 0.2, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3744*s**6 - 2100*s**2.\nAnswer: -449280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/6 + (-2)\/6)*0. Suppose 0 = 3*z + 3*j - 12, k - 7 = 2*z - 3*j. Is 3\/193 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -122.2. Let x = -22.1 + p. Are -2\/155 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-10))\/(68\/30))\/((291\/(-2))\/97).\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437981?\nAnswer: 89, 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4008 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 9.972. What is p rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-12)\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r + 179 = 153*r - 25. Let m = 4 - 1. Suppose -1 - 8 = -m*n. Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 24*l**2 - 106*l + 838. Give z(28).\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.55. Let z = 2.6 - g. Let r = -27579\/36764 + 3\/18382. What is the nearest to z in -4, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 4*k**4 - 2*k**4 + 3*k**3 - 6*k**3 as p*k**2 + q + f*k + a*k**3 + v*k**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2671\/660 + -49\/12. Let n = v - 9\/55. Which is the biggest value? (a) 1 (b) n (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 - 10. Let l be 8\/32 + (-10)\/o. Is 15 a factor of (30\/l)\/((-1)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 20*z = -105 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8 - 3*g + 19 - 3 + 4*g. Let c be j(3). Suppose -3*y - 2*r + c = 0, -4*r + 8 = 5*y - 7. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768818049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23164106089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 20165*x**3 - 4*x**2 + 5*x - 6. Let j be s(9). What is j rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556, -564, -572?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:58 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119822 or 263?\nAnswer: -119822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -65. Let u = 6\/65 - -4\/13. Which is the closest to -1? (a) u (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 2*w - 3*w + (w - 6*w + w)*(-1 + 23 + 18)*(2 - 2 - 2).\nAnswer: 315*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/12*(-17)\/1666*-21\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/4 - 5\/20. Suppose s*q = -2*q + 136. Suppose -4*b - 2 = 4*u - q, 4*b + u - 20 = 0. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5172*o + 55 + 94 + 93 - 242)*(-2*o + o**3 + 2*o) to u + v*o**3 + w*o**2 + x*o**4 + j*o and give x.\nAnswer: -5172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (161\/(-294) - (-4)\/(-14))*64\/240. Let o(s) = 5*s**3 + 2*s**2 + 2*s + 1. Let k be o(-1). Let t = -0.2 + -0.3. Sort k, z, t in increasing order.\nAnswer: k, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102697*x**5 + 32*x**3 - 42639495*x wrt x?\nAnswer: -2053940*x**3 + 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 0 - (-7 + 4 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**3 - 3*v**2 + v - 2. Let y be r(2). Let t be 591\/4 + 9\/y. Is t - (52\/16 - (-2)\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 8*a - 24. Let u(f) = f**2 + 5*f + 12. Let i(z) = -2*d(z) - 5*u(z). Suppose 0*c - 3*g = 5*c + 48, 4*g = -4. Calculate i(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 10*j + 70. Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128881*n**3\/4 - 385207*n**2\/4 + 1076*n - 3.\nAnswer: -(n + 3)*(359*n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/449 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyyg when four letters picked without replacement from {k: 4, y: 2, f: 6, g: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((4\/8)\/(-1)). What is the nearest to 3 in 8, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1256.06*-5\nAnswer: -6280.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.91 + 0.19. Let l = -1 + p. Let t = -0.5 + l. What is the second smallest value in t, 0, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237 + -483. Suppose 2*z - 3*z - 67 = 3*g, -4*g - 2*z - 88 = 0. Let q = g - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 17*h + 11. Is d(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 4 + 5)*((3 - 5 + 3)*(0*n + 0*n - n) - 1 - 2*n + 1 + (-4 - 2 + 3)*(-2*n + 3*n + n) + n + 2*n - n + 16*n + 19 - 19) in the form w*n + b and give w.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4647485?\nAnswer: 5, 929497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxz when three letters picked without replacement from {z: 6, v: 4, x: 1, k: 1, b: 2, o: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**3 - 36*c**2 - c - 18. Give d(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -2\/35 (b) 1\/3 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**14*j*j**(-9\/2) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1648, 376 in increasing order.\nAnswer: -9, 376, 1648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25392 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5828941 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-9\/2)*w\/(w\/(w\/(w**11\/w*w)))*w)**(-2\/23))**(-39) assuming w is positive.\nAnswer: w**(-273\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29885252 to the power of 1\/2, to the nearest integer?\nAnswer: 5467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -11. What is the nearest to -2\/5 in m, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10527281 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from aybqyvbuqaububbquuu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98.1 - 98. Let x = -0.06 - -0.03. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1764 and 896308?\nAnswer: 8066772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 694539*m*n + 1761*n - 155 wrt m?\nAnswer: 694539*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + (3 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1843 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317576 is divided by 158428.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 9*z**2 + 2*z**3 - 3*z - 3*z**3 + 2. Suppose -v = -51 + 57. Does 3 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.99277 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -218. Is 50 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6876, 14430, 22034, 29694, 37416?\n\"Answer: i**3 + 19*i**2 + 7490*i - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.1 (c) 2\/9 (d) -0.1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -42, -5 in increasing order.\nAnswer: -42, -5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-7\/3)\/z)\/((z\/(z*z*(z*z*z*(z\/((z\/(z**(-17)*z))\/z))\/z*z)\/z))\/z*z) assuming z is positive.\nAnswer: z**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Suppose 8 = 3*y + 3*c - 4*c, -5*y = -2*c - 14. Let z(v) = v**y + 7*v + 13 - 9 - 16*v. Let m be z(9). Determine b(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174171 + 8*y - 174224 + 6*y)*(0 + 1 + 1).\nAnswer: 28*y - 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**3 - 3*m**3 - 837*m**2 - 792*m**4 + 836*m**2 - 1169*m**2 wrt m.\nAnswer: -19008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.14375 + 77563541.\nAnswer: 77563546.14375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (475\/(-190))\/((-1*(-1)\/7)\/((-14)\/(-539)))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 - 20*p - 59. Calculate t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 5305216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 773799803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 + 32*k**4\/7 - 22*k**3 + 268*k**2\/7 - 144*k\/7 = 0 for k.\nAnswer: 0, 1, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*w - 5*p + 22 = -257*w, -5*w = -5*p + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*u + 24*u + 1760 = 60*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bsssaababsa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -98. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -5*o**8\/56 + 3*o**4\/4 + 8*o. Find the third derivative of l(q) wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93270451, -186540905, -279811359, -373081813, -466352267?\nAnswer: -559622721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -124. Suppose -14 = -a*m + 14*n - 10*n, 3*n + 3 = 0. Solve 0 = 3*x + 5*r + 17, -11 = -3*x + 7*x - m*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 46\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5973*g**2*j + 403*g**2 - 9*g*j + 9*g - 987*j + 4482 wrt j?\nAnswer: -5973*g**2 - 9*g - 987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*z - 3437 = -220 + 657 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4\/11, -1, -4, 1\/30 in decreasing order.\nAnswer: 1\/30, -4\/11, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(154)*-1 - sqrt(154))\/sqrt(11))\/(2*sqrt(1800))*1)**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -10409.81.\nAnswer: -10406.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 191. Does 3 divide 3\/(-4 + 561\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3*h + 3. Let x be w(3). Suppose t - 10 = -u, -4*t + 20 = x*u - u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 243701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6\/5 - 47\/5*s + 8\/5*s**2 = 0.\nAnswer: -1\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 72 = 4*u - 4*m, 3*m = u - 10. Let l = 18 - u. Let k be (-2)\/6*(l + 13). Put -12, k, 4\/5 in ascending order.\nAnswer: -12, k, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 7*i - 6. Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 3 - 4 + 7 to z*c + m and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + 0 + -2)\/(5\/205) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -54*l**2 - 10*l - 7. Let y(z) = -108*z**2 - 23*z - 16. Determine -9*p(o) + 4*y(o).\nAnswer: 54*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgc when four letters picked without replacement from ggggggcggggggggcgg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 - 3*i - 4. Give c(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4 + 217043*a**3 - 651123*a**2 + 651121*a - 217040 = 0.\nAnswer: 1, 217040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d. Let p(s) = -3*s**2 - 3*s - 91. Let z(g) = -4*k(g) - p(g). Let q be z(-13). Let i(r) = -r - 16. Determine i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 410422213421?\nAnswer: -410422213420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 - -1649?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. What is the smallest common multiple of t and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, -11, -5 in decreasing order.\nAnswer: 11\/2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/22 and -41\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3574*-2487.\nAnswer: 8888538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, -20, -52, -80, -104?\n\"Answer: 2*u**2 - 42*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 16*a**2 + 72*a + 113. Determine v(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 + 458 + 70\/(-10) is divided by 139?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2 and -47\/912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2492893809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -2\/13, 10763, 3\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**4 - 85*q**2 + 0*q**3 + 0*q + 7\/60*q**5 + 0. Let h(k) = k**2. What is h(g(w))?\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06682 + -0.12345. What is v rounded to three decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/2 + 25 + -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258971?\nAnswer: 258971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3500?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 15045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1087*f**2 + 40*f - 5. Let d(a) = -1085*a**2 - 48*a + 6. Give 5*d(t) + 6*v(t).\nAnswer: 1097*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2059)\/87 + 15 - -9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*q = 3*w - 14, -q = 3*w + 4. Let p = 0.3 - 0.1. Which is the third smallest value? (a) -1 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + u)*(-4*u**3 - 41*u**2 + 41*u**2) + (u**2 + 4*u**2 - 6*u**2)*(u**2 + 0*u**2 - 2*u**2) + 90*u**3 - 27*u**4 - 90*u**3)*(-3*u + 5*u - 3*u).\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.124436l in millilitres?\nAnswer: 8124.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3615 by -723.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -1\/4 (c) -1720\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:50 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 2}. Give prob of picking 1 x and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 678315, 678274, 678201, 678090, 677935, 677730, 677469, 677146?\nAnswer: 676755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2 - (-6)\/12. Suppose -5*y - 3 + 1 = -3*s, -2*y = -5*s + 16. Let m = w + s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 7. Suppose -k - 6 = 0, 77 = -4*i + 2*k + 57. Let s(u) = 6*u - 11. Let c = -2 - -7. Give c*s(h) + i*b(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 26*h - 141. Let z be f(8). Which is the nearest to -1? (a) z (b) -0.3 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225681.0629892 + -225681. Let h = -0.01 + 0.073. Let c = h - u. Round c to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 8374220*o**3 + 334976800*o**2.\nAnswer: -5*o**2*(o - 40)*(o + 1674884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 637\/429 + -1 + -1 and 16\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2436974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12 = -8*o. Let r(m) = -m**2 + 7*m. Let z(p) = p**2 - 6*p. Let n(h) = 2*h - 3. Let u be n(3). Let x(q) = o*z(q) + u*r(q). Give x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**3\/6 - 7589*h. Let p(d) = -74*d**2 + 7. Give n(p(b)).\nAnswer: 74*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 771 = 3. Suppose -2*a - i = -4*m, 5*a + 15 + 0 = 0. Let b(c) = -71*c + 128*c - m*c. Let z(r) = -4*r**2. Give z(b(h)).\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 0 + -2 + sqrt(32) + sqrt(32).\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*p + 12*p = 17*p - 1209600. Is 144 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 583.589 + 3062.1\nAnswer: 3645.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4\/2 - 81*y**3\/2 - 273*y**2\/2 + 81*y\/2 + 135 = 0.\nAnswer: -3, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-70)\/(-15) + -4)*3. Calculate the remainder when -3 - 1\/(z\/(-94)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 24?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)\/x*x*x\/(x*x*(x*x*x\/(x\/(x**9*x))*x)\/x*x*x)*x*x*(x\/(x*x**(-2\/9)))**(1\/2))**(-49) assuming x is positive.\nAnswer: x**(10045\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27802, 26848, 25896, 24946, 23998?\n\"Answer: s**2 - 957*s + 28758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 5. Let o be b(4). Let t(s) be the second derivative of s**5\/10 + 7*s**4\/12 - 4*s**3\/3 - 3*s**2 - 137*s. Is t(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*g**3 - 6*g + 189*g**3 - 266*g**3 + 14*g**3.\nAnswer: 3*g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36417 + -256908\/7. Let n = -285 - r. Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 140 = -3*v. What is the highest common divisor of 175 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 22*l**3 - 125*l**2 - 17*l - 2. Give p(6).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3437*h - 216529. Let d be m(-63). Suppose 484\/5 + 44\/5*l + 1\/5*l**d = 0. Calculate l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3190 > 628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnn. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2309165.\nAnswer: 5, 19, 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 3*k**3 - 18*k**2 = 0 for k.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 194, 276, 392, 542, 726, 944?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 14 = 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.44, 0.022715, 5 in descending order.\nAnswer: 5, 0.022715, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Let w(g) = -9*g**2. Let u(h) = -10*h**2. Let f(i) = -6*u(i) + 7*w(i). Give f(q(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.0044\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)**(-2\/3)*(i*i**(-2))**(-45) assuming i is positive.\nAnswer: i**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from xgxuxxxgxxu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 9. Let j(i) = -2. Let m(v) = -v + 14. Let d be m(10). Give d*p(r) - 18*j(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1472 and 11?\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5\/8 + 3*f**4 - 69*f**3\/8 - 201*f**2\/4 + 357*f\/2 - 147.\nAnswer: 3*(f - 2)**3*(f + 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from wmcwcwmwcmwcmwc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 2966*l**2 + 2262*l + 4259. Differentiate v(j) with respect to j.\nAnswer: 5932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 19789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from {o: 6, c: 1, m: 5, e: 2, j: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 + -5 + -20) - 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:25 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 4:49 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8053?\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/468 - (-6)\/8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58071 + 4?\nAnswer: -58069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.225 (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291*z**5 - 53*z**3 + 51897*z wrt z.\nAnswer: -5820*z**3 - 318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhdqbbhbbbjhhdhhh. What is prob of picking 2 h?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:12 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-10 + 5 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/11))**29\/(x**(-3\/4)*x\/(x\/((x**16*x*x*x*x)\/x))) assuming x is positive.\nAnswer: x**(821\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.07995 times -5\nAnswer: -0.39975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:36 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*m*q*z - 2*m*z**2 - 2*q*z**2 - 81*z**2 with respect to m.\nAnswer: 38*q*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**3 - 7*m**2 + m - 2. What is t(2)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 13*m = -o - 1, 0 = 2*o - 3*m - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-60)*3)\/(7\/7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.9. Let o = -0.5 + v. Sort o, 4, 0.4 in descending order.\nAnswer: 4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 449991 = 2*z - 5*z, x + 149997 = 5*z. Let s be (-280)\/(x\/(-75000) + -2). What is s rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 6*l + 3*l = -3, 4*l - 8 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139003417?\nAnswer: 7, 19857631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/20 - 11*u**3\/6 - 3*u**2\/2 + 88*u. Let h be o(-3). Solve -2*c - 2*d - 10 = h*d, 0 = -3*d - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 378 - 4358*n**2 - 5613*n**2 - 187.\nAnswer: -9971*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*t - 2*t - 2*o, 2*o - 20 = -3*t. Let h be (-4)\/t - (-14)\/21. Let v(a) = a**2 - a + 563. Is v(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/12 - b**3\/2 - 4*b**2 + b. Calculate the remainder when x(6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8427 <= 8412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let u(c) = -26519 + 26627 - 5*c - 4*c. Determine u(w(n)).\nAnswer: 18*n + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(8\/5)*s*s*s**(1\/3)*(s\/s**(-2\/3))\/s*s**(-4) assuming s is positive.\nAnswer: s**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 + q + 14. Let s be i(0). Suppose 0 = -a + s + 5. What is the tens digit of a - 0 - 0\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*y**4 + 25 - y**2 - 9 + y - 16 wrt y?\nAnswer: 276*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/30 + 11*h**4\/12 + 19*h**3\/6 + h**2 - 2. What is the units digit of p(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*r + 839 = -4*r, -557 = -2*j + 3*r. Let h = -198 + j. Round h to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -932*h + 9847. Give x(11).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-5 + 4 + 0)*(2 - 2*t - 2)*(11 - 2 + 20).\nAnswer: -116*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234462.\nAnswer: 2, 3, 23, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 - 18 = 0. Let h be 36\/(-44) + 1 - (-642)\/(-22). Is x at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.174, -0.1, -2\/5?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30271 to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.01 - 9.3. What is z rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 + 251. What is the tens digit of w + -2 - 0 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/11)*s)\/s**(5\/6)*s**(-9)\/(s*s**(7\/11)*s) assuming s is positive.\nAnswer: s**(-721\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-9)\/(-45))\/(11\/(-143)*1)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) + 5\/2. Let w = -966 - 189. Let n be 484\/w - (-4)\/30. Which is the nearest to n? (a) -0.2 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-7)*(-53)\/106)\/(-10*22\/2310)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16446\/(-10964))\/(((-6)\/(-10))\/((-104)\/(-10)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18564)\/1904*3\/27*24\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/1624 - (-491)\/28)*20\/(-7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 8*f**2 - 9*f + 1. What are the prime factors of v(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + (1 + 0 + sqrt(343) - (sqrt(343) - sqrt(343)*2)*-3)))**2.\nAnswer: -252*sqrt(7) + 12357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/4 + q**3\/3 - 31*q + 1685. What is j(0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-21)*(a\/(a\/(a**(-3)*a)))\/a**3 assuming a is positive.\nAnswer: a**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:56 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0, -7, -4\/5, 25 in decreasing order.\nAnswer: 25, 3\/2, 0, -4\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 - 21608*o**3\/7 - 476352*o**2\/7 + 86432*o\/7 + 1905376\/7 = 0. What is o?\nAnswer: -22, -2, 2, 10826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603986591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 + 129. Let y = g + 79.9. Sort -0.1, 0.1, y in descending order.\nAnswer: 0.1, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -1, -3 in decreasing order.\nAnswer: 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1319 + -1323. Which is the smallest value? (a) 0.3 (b) 1 (c) u (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 447*m - 2564*m - 5269 - 2191*m + 660*m + 10542 wrt m.\nAnswer: -3648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*j. Suppose -15 = -j*v - 3*v. Suppose 3*l + 217 = 5*x - 268, v*x - l - 495 = 0. What is the greatest common divisor of 40 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151025*a - 8659*a - 25423*a.\nAnswer: -185107*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115.252 + 0.252. Let r = -107 - m. What is the third biggest value in -1, -0.3, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-356)\/16 + 11 - -10\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*n + 342*n - 66*n - 25*n.\nAnswer: 452*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 37. What is o(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1287)\/6*(-2 - (-50)\/15). Let t = 479 + j. What are the prime factors of t?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lplv when four letters picked without replacement from {l: 2, y: 1, z: 3, p: 1, v: 3, s: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 j when three letters picked without replacement from mwjpwejex?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 - 0.4. Let p = 39 + -38.8. Suppose -1230*a + 1182*a - 336 = 0. Sort p, -3, u, a.\nAnswer: a, -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1d826?\nAnswer: 1d821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/264858 and -123\/24720080?\nAnswer: 74160240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 + 171*o**2 - 732*o = 0.\nAnswer: -61, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258 + 261. Suppose d*i - y - 1050 = 266, -i + 432 = -2*y. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457.1537 - 496793.8?\nAnswer: -495336.6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:45 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - 6*j - 6. Let u be t(-4). Suppose -4*n + 28 = -2*p, 2*n + 7*p - u*p = -10. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 45 + 21 + 14 - 11 + 21.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8503 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 22 = p, p - 4*l = -p - 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-3))\/2*4. Let z = -6 + f. Suppose 4*x + z = 6*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -578, -865, -1150, -1433, -1714?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a + 10. Let i(g) = 8*g + 11. Let q(r) = 5*i(r) - 6*j(r). Let l be q(-4). Let x be (-40)\/(-18) + 0 + 30\/(-135). Sort l, x, -1 in decreasing order.\nAnswer: l, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26669439 divided by -2963271\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1750*113 - 1*(-11 - -21). What is h rounded to the nearest 1000?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 3. Suppose 4*t + 88 = 5*x, 4*t = 2*t + 2*x - 42. Let p = t - -26. Suppose -17 = p*v + 10. Determine m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22940.\nAnswer: 2, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ac6e (base 15) in base 9?\nAnswer: 55125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 593*y**5\/8 - 5329*y**4\/8 - 49255*y**3\/4 - 33967*y**2 - 456*y = 0. What is y?\nAnswer: -6, -4, -8\/593, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one quarters of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312 * -2.3745\nAnswer: -740.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = 4*a - 58, 119*p + 44 = 123*p - 4*a for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -789 in -2\/13, -124, -3?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.92074001 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 92.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2. Let b(i) be the third derivative of -14179*i**4\/24 + 401*i**2 + 7*i. Determine z(b(q)).\nAnswer: 402088082*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 94*n - 252. What is y(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 6*g = -2*o - 44, 83 = -4*g - 3*o. Let x be (g\/3 - -3)*-3. Solve x*m - 3*m + 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5869656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o**(-1\/16))\/o)*o**24\/o*o*o*o**(-17\/5)\/((o**(1\/10)*o)\/o*o*o) assuming o is positive.\nAnswer: o**(329\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13749.\nAnswer: 3, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, -151 in descending order.\nAnswer: 5, 4, -1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let a(w) be the third derivative of 0 + 3\/4*w**4 + 0*w**3 + 0*w - 21*w**2. Give a(c(n)).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-15)\/5)*-2. Let v(a) be the second derivative of 3\/20*a**5 + 0*a**3 + 1\/12*a**4 + 0*a**j + 0 + 2*a. Find the third derivative of v(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*33\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*j + 90. Let k be 1459\/1*(5 + -4) + 5. Suppose 6*f + k = j*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p - p + 3*p)*((-2*p - 4*p + 5*p)*(-4 + 2 + 0) - p + 0 + 0 + (3*p - 5*p - 5*p)*(1 - 2 + 2) + 4482 - 4482 - 26*p) to y + n*p**2 + b*p and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15797*n + 46839. What is t(-3)?\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3087?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 115279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3909 - 3436. Solve 0 = -479*n + t*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995\/2565*3\/56?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 12*q**3 + 5*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240 * -0.5.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - k + 1, -3*k + 3 = 0. Let w(p) = -2*p**3 + 6*p - y*p**2 - 6 - 4*p + p. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f + 65. Let o be c(-3). Let d(h) = 2*h - 8. Let n(r) = r - 4. Give o*n(a) - 2*d(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 64, -2, -3, 88, -6 in ascending order.\nAnswer: -6, -3, -2, 0, 64, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*g - 29614, 22217 = 3*g - 0*p - p. Let s = g + -5245. Suppose -4*c = -f + 481, -5*f + 4*c + s + 293 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y - 29 - 32 + 9*y**3 + 60 to the form t + q*y + l*y**2 + a*y**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + 151 + (308 - 302 - (-9 - (-1 + 0))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28971\/10 - -14488\/5. Which is the fourth biggest value? (a) k (b) -42 (c) 0.4 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 + 19*z**2 - 41*z**2 + 21*z**2 - z**2 + 9 + 15.\nAnswer: 8*z**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 90*u**2 + 1443*u + 37. Give m(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 - -0.24. Let m = 4.11 - p. Let w = -3.99999975 + m. Round w to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -22 - 18) + (-1 - (-1 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:10 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0)*(4*i - i - 2*i) - 9*i + 8*i**2 - 7*i**2 - 21*i.\nAnswer: 3*i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:16 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (79 - (-49 + 41))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 30*a**2 + 85*a - 7. Is v(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 17*i**2 + 37*i + 2. Let k be z(15). Suppose 11*x + 86 = 12*x - 5*g, -k = -2*x - 3*g. Calculate the remainder when x is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (1 - (6 - 3)). Let t(u) = -u**3 + 7*u**2 + 2*u + 4. Let n be t(w). Let v = n - -1. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*g*t**2 + g*t - 409044*g + 1007997*t**2 wrt g?\nAnswer: -13*t**2 + t - 409044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*5\/15)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:35 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 28*s - 2 = 0. Suppose 2*x - x = 4. Let r = 4 - x. Solve r = -s*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17523 and -2.\nAnswer: -17525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*y = 22, 3*b - 2416*y = 2415*y - 4836*y - 31 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70382966 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/54 + (-100)\/(-2295)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a98 (base 13) to base 3.\nAnswer: -2102210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*l + 57 = -p, 0 = -2*p + 5*l + 38. Let b(u) = u**2 + 8*u - 678. What is the remainder when b(-32) is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.8. Let u = -297\/728 + 3\/91. Let y be (0 - -1)\/(2 + -1). What is the nearest to 0.1 in y, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3383*w**2 + 1269*w**2 - 11*w**2 + 794*w**2 to a*w + i + d*w**2 and give d.\nAnswer: 5435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1298610, -2597202, -3895794?\n\"Answer: -1298592*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and 19\/40574.\nAnswer: 40574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/18)\/1*(-6)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*d - 153 = 0, -i + 5*d + 180 = 593 - 266 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -844061*l*m + 5520907*l + 6*m wrt m.\nAnswer: -844061*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8156443 decades to months.\nAnswer: 97.877316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -9*y + 20 + 19, 3*y - 2*y - 142089 = -3*o - 142106 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 360203.\nAnswer: 3241827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m + 25. Suppose -147*s + 142*s + 5*n + 165 = 0, -4*n + 78 = 2*s. What is the greatest common factor of s and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**3 + p - 1. Determine u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 90*n + 6805. Let c be m(-67). What is the highest common factor of c and 2945?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22400 and 79548.\nAnswer: 63638400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2654796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-34)\/(-8)*(-43 - (-1485)\/15) is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 722733427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 15. Suppose 0 = 2*w + 3*w - 2*a - 92, 2*w - 3*a = 39. Calculate the highest common divisor of w and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 4, -22, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11))**40*((g*g\/(g\/((g*g*g**(-5))\/g))*g)\/g*g)\/((g\/((g**(2\/45)*g)\/g))\/g) assuming g is positive.\nAnswer: g**(-19888\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 4*g**2 + 19*g + 1. Let n be s(8). Let i = 1581 - n. List the prime factors of i.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 48. Solve g = 7*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405324 (base 7) to base 12\nAnswer: 33bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -217*f - 219*f + 434*f. Let c(n) = -2*n - 4*n + n. Calculate b(c(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (644\/(-44) + 15)*(-11)\/(-14). Suppose 0 = o + o - 8. Sort 1\/5, 1, k, o in increasing order.\nAnswer: 1\/5, k, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*j + 31, 825*r = 821*r - 2*j - 30. Sort 3, 0.03, r, -0.1.\nAnswer: r, -0.1, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1431 - 1434. Which is the nearest to 0? (a) 5 (b) 4 (c) 6 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*1*1*4 + (sqrt(68)*-1 - (sqrt(17) + sqrt(68)\/sqrt(4) + -4))*-5)**2.\nAnswer: -960*sqrt(17) + 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272407795 to the nearest integer?\nAnswer: 16505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w + 73*w - 5*h - 14 = 0, -2*w = -3*h - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17727778631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 4*h**2 + 3*h - 6. Suppose 0 = 6*w - 4 - 14. Let n be u(w). Which is smaller: n or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -78, -5, 4 in decreasing order.\nAnswer: 4, -1, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:26 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(-1 + 0 + 0)*(-5*k**2 - 3*k**2 + 5*k**2 + (1 - k - 1)*(1 - 2*k - 1)) in the form c*k + j + z*k**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5055*m**5*q - 5*m**4*q - 2*m*q - 78*m - q - 7 wrt m?\nAnswer: -101100*m**3*q - 60*m**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (148\/(-111))\/((-2)\/(-6)*-1). Suppose 0 = -k + q*k + b + 727, 4*k + 981 = b. What is the common denominator of (2\/(-36))\/((-4)\/k) and -29\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(693\/14))\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2819469403 and -1.\nAnswer: 2819469402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 37 = 5*n, -n - 13 = 2*v - 19. Solve -2*k - 4*z = 14, -k - n = -2*z - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/6 - 3*q. Let m be o(-2). Suppose m = 2*t - 2, 5*k + 5*t = 345. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -7\/2*t**2 + 210 - 4*t. Let m(p) = 8*p + 5. What is 6*m(c) + 7*y(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 4*o + 24. Let i be q(-7). Suppose -2*w - 4*k + 7 + 5 = 0, -5*w + 9 = i*k. Let z = -2 + -1. Sort -5, z, w in increasing order.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 + (334299\/43890 - 9\/(-33)) and 101\/570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 85, 130, 179, 232, 289, 350?\n\"Answer: 2*g**2 + 35*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 63?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 6. Let k = -19 + 10. Let y be x(k). Suppose -4*n + 39 = b - y, -n = 5*b - 289. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(112) + sqrt(7))**2 + -5.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.06. Let w = v + 1. Let x = -1.2 + 1. Sort x, w, 5.\nAnswer: x, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12039, -1.97, 0.5.\nAnswer: -1.97, 0.5, 12039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 2 - (-13 + 21 + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/20 and 23\/187120.\nAnswer: 187120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 + s**5 + s**5 - 7*s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4899 and 759.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 979268398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1.2, -1\/22, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4473523634.\nAnswer: 2, 31, 1997, 36131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540883 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 18. Suppose 4 = r + z. Suppose -r*n = -3*n + 10. What is the lowest common multiple of n and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let z(n) = 4*n**2 + 12. Let q(i) = i**3 + 9*i**2 - 10*i + 1. Let r be q(-10). Let d(j) = r*z(j) + 8*l(j). Factor d(a).\nAnswer: 4*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-30)*(-8)\/11*495\/(-66).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 220*y + 1230. Let j be z(-6). Calculate the highest common factor of j and 2952.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1172 - -1184) + (1 + 1 + -4 - 21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 1. Let y(n) = 3*n - 1. Let r = -5 - 0. Let x = 2 + 1. Let i be 3\/x*-2 + 8. Give i*y(v) + r*s(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0*m**2 + 0 + 44*m + 1\/3*m**4 - 1\/20*m**5 - 1\/2*m**3. What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22412 and 16198?\nAnswer: 13962676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/298 + -523\/447. Let p be 0\/(51\/(-119) + 8\/(-14)). Sort p, d, -5.\nAnswer: -5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b + 0 - b**2 + 5 - 5*b - 1. Let o(p) = -p + 1. Suppose 0 = -6*h + h - 15. Let d(f) = h*g(f) + 12*o(f). Factor d(s).\nAnswer: 3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -q - h, -4*h - 15 = 2*q + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.354 - -146.354. Let k = 144 - v. Let y = 0 - -0.2. Sort 0.05, y, k in descending order.\nAnswer: y, 0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + 0*i**3 - 12*i**2 - 2*i**3 - 614*i + 8*i**3 + 0*i**3.\nAnswer: 6*i**3 - 2*i**2 - 614*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66939 + 22986 = 2392*o + 577*o - 25866 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*0.7.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -8260 = -90872\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -18, 43, 2 in increasing order.\nAnswer: -18, 2, 3, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 703225403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.87827nm?\nAnswer: 0.00000000187827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3433*h - 34122. Let w be q(10). Suppose 202 = g + l, -232 = -g - 4*l + 9*l. Do g and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + 0.23. Let t = -0.06 + n. Which is the second biggest value? (a) 0.2 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (-3 - (-1 - -1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26225154 divided by -10333.\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 9 = h + 4, 17*x = -39*h + 40*h + 89 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 759339.07 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(7\/8)\/(j*j*j*(j\/(j**12*j))\/j))\/((j\/j**(10\/7))\/j*j**(14\/3)\/j))**1 assuming j is positive.\nAnswer: j**(1451\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21564 divided by 6\nAnswer: -3594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*j, j + 16 + 2 = 5*b. Suppose 0 = -4*r + 2*a + b*a - 220025, -4*r - 220015 = -3*a. Round r to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*v + 6*y + 11*y - 76, 5*v = -14*y + 66 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -429 + 444. Solve 5*w + 30 = o*i - 10*i, 4*w + 12 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 + 28195?\nAnswer: 28146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2 - 5. Let o(x) = -3*x - 15. Let j be o(-6). What is the smallest common multiple of -3 + 4*j\/3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (((sqrt(66) - 1*sqrt(66)*-2) + sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66)))\/(sqrt(6) + sqrt(24)*4).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6712 = -14*m + 6812. Let l = m + 151. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 2, m: 1}. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-6)*(-18)\/4. Let m = k - -6. Let b(z) = -z + 713 - 709 + 3*z**2 - 2*z**2 + 6*z. Determine b(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 15\/2*r**2 - 6*r + 9 + 7*r**3. Factor m(b).\nAnswer: 3*(b + 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/210 and 97\/4.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-198) - 2560\/18. Let j = d - -59. Let o = 220 + j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**2\/11 + 26*r + 72\/11.\nAnswer: -2*(r - 36)*(4*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*y - 61*y + 124*y)*(-1 + 2 - 3).\nAnswer: -506*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -24. Let v = 7.000015 + h. Let y = 0 + v. What is y rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2093163023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 326*m - 2 = 329*m + 20, 2*m - 14*m - 72 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2 - 3) + (-2 - -15 - 19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eameeeameaeam. What is prob of picking 2 e?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/741 and -77\/39.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9398436 to the nearest integer?\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/10)\/u))**(1\/64)*(u**(-34))**(-1\/5) assuming u is positive.\nAnswer: u**(4361\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -562790.237 or 0?\nAnswer: -562790.237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/16 and -15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 + -182. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k**3 + 387*k**2 - 20*k + 7466. Let z(m) = 17*m**3 - 516*m**2 + 27*m - 9954. Let i(n) = 13*x(n) + 10*z(n). What is the derivative of i(f) wrt f?\nAnswer: 3*f**2 - 258*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 545.13 + -496. Let u = 50 - t. Round u to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -1, 16, 1, -1803.\nAnswer: -1803, -1, 0, 1, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 278 + 107. Suppose 2*v = 3*t + 3*v - 248, 5*t - j = 4*v. Let u = t + -59. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/(-1*6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h. Let z(d) = d + 1. Let w(j) = -j**2 - 3*j - 5. Let b(m) = -w(m) - 3*z(m). Let n(o) be the first derivative of b(o). Calculate p(n(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*(-60)\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*r - 301 + 301 = 0. Let n(z) be the second derivative of 0*z**3 + r*z**4 - 11\/2*z**2 - 4*z + 0 - 1\/10*z**5. Differentiate n(j) wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3\/7 + 25752123*g**2\/7 + 55264229784720*g\/7 - 55264410049728 = 0. Calculate g.\nAnswer: -4292024, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 4*d + 3. Let m(c) = 1. Determine -g(o) + 2*m(o).\nAnswer: -4*o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*w - 5*o + 120, -3*o = -2*w + 99. What is the third derivative of 20 - 7 + 2*u**2 + 25*u - w*u**3 - 13 wrt u?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385\/2272 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 323328, -24 in ascending order.\nAnswer: -24, -1, 323328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from {u: 1, z: 2, t: 1, b: 1, k: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 + 360*x**2 - 1108*x + 744 = 0. What is x?\nAnswer: -93, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.51 + 0.18. Let f = 0.23 + n. Let k be (-7 - -1)*(-2)\/4. Put 0.6, f, k in increasing order.\nAnswer: f, 0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -805.36 + 819. Let i = 3.02 - 2.66. Let j = a + i. Which is bigger: j or 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5658888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-5 + 9 + 4)*(-39 + 39 - 9*v + v**2).\nAnswer: -16*v**2 + 144*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4164.9 - -4164.9000006736. Round j to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14546.\nAnswer: 2, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 - (-24 + 3 - -90 - 6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 64*m + 6. Let g be r(-4). Let d = -425 - g. What is d rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 7042845?\nAnswer: 7042845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from yauybabbrca.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/6 + 716*t**4\/3 + 225587*t**3\/2 + 51135139*t**2\/3 - 772361138*t\/3 + 615890924 = 0. Calculate t.\nAnswer: -482, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92773286 to 3 decimal places.\nAnswer: 0.928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70755.869 rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n*n\/(n**9\/n))\/(n**(-16)\/n)**(1\/38) assuming n is positive.\nAnswer: n**(-173\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h. Let t be c(-3). Let y(k) = 0*k**2 + 4*k**2 - 5*k**2 - 3. Let m(f) = 14 - f**2 - f**2 + 6*f**2. What is t*m(i) - 14*y(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/14 and 17\/1134?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1247 + -1246.9. What is the nearest to n in -0.2, 1\/4, -7\/8, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*x - 3066, -4*x + 5*b - 3*b = -2444. Suppose x*a - 9408 = 598*a. Is 42 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -3, 0 in descending order.\nAnswer: 0, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*h + 18. Suppose -h*j + 460 = j. Suppose 4*i = 20 + 136. What is the remainder when j is divided by i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 1 - 14*k + 9 + 20*k + 6.\nAnswer: 6*k + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2550*m**4 - 2*m**3 + 81*m**2 + 758205*m?\nAnswer: -30600*m**2 - 12*m + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95981566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 445716 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -489 from -1618527729.\nAnswer: -1618527240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) -1710 (c) 5\/4 (d) -2 (e) 3 (f) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2.2, -5 in descending order.\nAnswer: 2.2, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 25\/6 (b) -2\/3 (c) 3\/7 (d) -5\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 19*p**2 - 16*p - 6. Let o be g(18). Let a = -100 - o. Is 2\/(4\/(-2))*a a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523741485.\nAnswer: 3, 5, 1553, 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/3 - 8*j**3\/3 + 8*j**2 + 3*j - 2. Let m(t) be the first derivative of x(t). Let m(l) = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1748, -3775, -5816, -7877, -9964, -12083?\nAnswer: -14240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 913034.8 litres to millilitres.\nAnswer: 913034800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 529 - 528.966. Round u to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.0983123.\nAnswer: -0.04915615","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 77596?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 154. What is the closest to 0.1 in -1, h, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 77 = 38. Suppose 0*r = -3*r + 9. Which is the biggest value? (a) -2\/13 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 8*h**3 - 2*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, t: 2, x: 4, o: 6}. What is prob of sequence to?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6535 and 203?\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3165 is divided by 788.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51848 = 18*v - 272348. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 - 11666586*j**2 - 139998708*j - 419995800 = 0. Calculate j.\nAnswer: -3888850, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-30) + (-1)\/(-6). Suppose 0 = -2*d, -3*d + 10 = 7*g - 2*g. Put g, r, 1 in descending order.\nAnswer: g, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637233577 to the nearest integer?\nAnswer: 25243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*h - 2656 + 12403, -4*h + 5*q = -9749. List the prime factors of h.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70\/27 + -586\/351. Which is the second biggest value? (a) -14 (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.148895ml?\nAnswer: 0.006148895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + -4.1. Let n = y + 3. Let i = 2 + n. Which is the closest to i? (a) 0.2 (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-1076 + 2 + 8)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 0.2. Let j be (-2)\/18*1*-3. What is the closest to w in j, -1, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(66\/26 - 2). Let b = k + -41\/7. Let i = 6 + -10. What is the third biggest value in b, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80299 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 178471951 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*u = -u. Suppose -q = -4*c + 316, u - 4 = -q. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - f - 1. Let o be p(-1). Let -95*s**2 + 57*s**4 - 21*s**5 + 5*s + 12 - s**3 + 26*s**o + 19*s - 2*s**3 = 0. What is s?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + -22524165102.\nAnswer: -22524165088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1069 and -1070 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/3 - 5*q**2\/2 - 2. Suppose 5*z - 6 = 24. Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3780\/441)\/((-70)\/294)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**5 - 29*c**5 + 48*c**5 + (-6*c**5 + 4*c**5 + 0*c**5)*(4 - 2 - 3).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - 9ebe?\nAnswer: -9ee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 28735*p - 18 + 28877*p - 19.\nAnswer: 142*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let c = l + -3. Suppose 2*q - 39 = -y - 0*q, c = -3*y + 2*q + 93. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/5))**46 assuming s is positive.\nAnswer: s**(-414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:11 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 5 + r**2 + 14 - 19.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n + 3*n)*(-4*n - 4*n + 2*n)*(-18*n**2 - 26*n**2 - 11*n**2).\nAnswer: 1320*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5434*q**2 - 1801*q**2 - 1811*q**2 - 1789*q**2.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -239, -261, -297, -353, -435, -549, -701?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 + -149. Let q = -60 + s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123850 by 10.\nAnswer: -12385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3551 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3178*r - 2915*r - 3495*r + 8872*r.\nAnswer: -716*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 414 - 36 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2235 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**5*a**(-6))**(16\/5))**(5\/3) assuming a is positive.\nAnswer: a**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8260 and 903231.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/190 and 11\/570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 12) to base 7.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 times -178236?\nAnswer: -1425.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 30 - 10. Suppose -4*o - q = 6. Let n be 5\/(-10)*o\/(-6). What is the second smallest value in n, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -0*d. Suppose f - 9 = 4*f, d = m + 3*f - 20. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20*(6 + -78)\/18. Calculate the highest common divisor of l and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -129*j + 1668. Calculate n(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -410 - 9ab042?\nAnswer: -9ab452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/5 + 71*m**2\/5 + 612*m\/5 - 324\/5 = 0.\nAnswer: -18, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(20) + sqrt(240)\/sqrt(48))\/sqrt(4))**2.\nAnswer: -9*sqrt(5) + 81\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s + 40. Let u = s + 13. What is the units digit of 9 + (u - -1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685108009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/4522?\nAnswer: -3\/4522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -75. Calculate the lowest common multiple of l and (-2)\/5*(-5)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7481768 divided by -3794.\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 4860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 + 180. Let k = l + -5. Let s = 449 + k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.73442 - -0.06558. Is y != -148\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3282920564?\nAnswer: 2, 7, 11, 101, 105533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, y: 6}. Give prob of sequence yyxy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 1\/3 (c) 2 (d) 1.8 (e) -561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.24 + 56. Round c to one dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.635516\nAnswer: -1.906548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1488 - -0.1486869. What is v rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473782 divided by -7\nAnswer: 473782\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19 + 0 - 16 - 24 + 29*i wrt i.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 451, 954, 1361, 1630, 1719, 1586, 1189, 486?\n\"Answer: -7*p**3 - 6*p**2 + 570*p - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 151\/5? (a) -0.3 (b) -732 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(1 + 0 + 6 + -2 + -2). Is 4\/413 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + 2*n**2)*(-246 + 222 + 530 + 346).\nAnswer: 1704*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3*y**5\/8 + 7*y**4\/6 - 23*y**3\/2 - 35*y. Let h(v) be the second derivative of l(v). Differentiate h(f) with respect to f.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 1 = -b. Let j = 1 + 3.6. Let y = j - 5. What is the biggest value in y, 1\/8, b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l = -76*l + 2, 0 = 4*m + 2*l - 14. Let z be 2\/4 - 1\/(-2). Let p be -1 - (z + 0\/2). Sort p, m, 5 in increasing order.\nAnswer: p, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2624 by -82.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 2. Let p(r) = -r + 2. Let o = -181 - -175. Let q(g) = o*c(g) - 5*p(g). Suppose 0 = 4*l - 3*l. What is q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*i - 0*c - 6, -5*c - 15 = -4*i. Let r = i + 0. Suppose r = h + 4*h - 40. Calculate the remainder when 15 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 32 = 2*c + 156, c = -3*n + 274. Let l be (-6)\/n*((-304)\/(-24) + -14). Let l*i**3 - 6\/23*i**2 + 6\/23*i - 2\/23 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501624 - 126701. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + v**2 + (191 - 191 + 6*v)*(-2*v - 5*v + 6*v) + (-3*v - 2*v + 7*v)*(-3*v + 3*v - v) + 0*v**2 - v**2 + 2*v**2 + v - v - 2*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437563.\nAnswer: 31, 79, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/140360075 and -123\/56144030.\nAnswer: 280720150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4846538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33639 - -33641. Suppose -3\/4 + 3\/4*c**d + 1\/4*c - 1\/4*c**3 = 0. What is c?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13838 = -2*g + 1648*m - 1653*m, g - 6925 = -m. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 99*c**2 + 4453*c - 22. Calculate z(-45).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) -2\/5 (b) -1\/5 (c) -4\/7 (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.063, 0.5?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 16 = -14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20503132*b**2 + 32*b**3 + 21 - 20503132*b**2 as q*b**2 + v + z*b**3 + i*b and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 q when four letters picked without replacement from {q: 14, m: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63871\/4 or 15969?\nAnswer: 63871\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 16 (b) 3\/128 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d + 380. Determine u(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 706 + -866. Let l = 0 + 0.1. Is w bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Let b(h) = -2*h - 8. Let p be b(-7). Let l(y) = -y**2 + 5*y**2 - p*y**j. Let u(d) = -5*d. Determine l(u(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 8 = 15*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 12*n**2 - 11*n. Let y be z(-11). Suppose y = 4*m - 9*m. Is m < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -76. Let l(z) = 9 - 6 + d*z + 13 + 15. What is the units digit of l(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t + 2. Let a be p(2). Let w be a\/10 + (-29)\/(-35). What is the third smallest value in 1, w, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2652159852.\nAnswer: 2, 3, 29, 37, 68659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470301939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16785 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -1*(0 + 38\/(-14)) and -58\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3139*a + 5887*a + 9322*a + 1029883 + 181085 = 0 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 79777\nAnswer: -39888.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 6. Let s be t(7). Let w(h) = 5*h. Let v be w(s). Let y(c) = 2 - 2 + 3 + 648*c**2 - 643*c**2 + 2*c**3 + 2*c - c**3. Give y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 185?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 9, 15, 23, 33, 45, 59?\n\"Answer: g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 5*a - 1. Let k be h(-3). Suppose i = f - 3*i + 22, k*f + 38 = 2*i. Is 2 + f + (110 - 2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 78704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/o)\/o**0*(o*o**(2\/7))**(-31) assuming o is positive.\nAnswer: o**(-335\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155*y + 171 wrt y.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25647? (a) -1 (b) 14 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -24402?\nAnswer: 24371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 2\/7, 4, 39, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11064 + -4764. Suppose -7*u + h - 658 = 0. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h**(-7)\/h*h*h)\/h))\/(h\/h**(2\/3))*(h**1)**(3\/13)*(h**(2\/9))**(-19)\/((h*h**6)\/h**(-3)) assuming h is positive.\nAnswer: h**(-740\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(1 - 10\/6). Suppose -2*a + 40 = -3*f, 2*a = 4*a + b*f - 20. Suppose -m + a = -77. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 36687?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 497.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -12 - 53. Suppose 3*o + x - 22 = 0, -4*o + 3*x + s = 1. Solve -v = -m - o, -2*v - 3*m + 4*m + 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/203 (b) 1 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 18*o - 35. Let d(h) = 2*h**2 + 37*h + 71. Let n(y) = -6*d(y) - 13*g(y). Let j be n(-8). Which is smaller: -9 or j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1735 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(42*x + 72*x - 24*x).\nAnswer: 180*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 + -1165 + 0 + -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41770 (base 10) in base 9?\nAnswer: -63261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m + 21. Let h be r(2). Let g(i) = -i**3 + i**2 + 2*i. Let y be g(2). Suppose h*o - 6 = -y. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 2. Let j(t) = 88*t - 140. What is 7*a(k) - j(k)?\nAnswer: 3*k + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*t + 53 - 359 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158678*s**6 + s**2 - 79560 wrt s.\nAnswer: 19041360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.132560155 rounded to one dp?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from rkgrgrvooggog.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 - 22 - (-47 - 8). Solve 42*b - 20 = x*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27556193 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:59 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-100)\/(-2)*(-2)\/(-4). Suppose 0 = -5*f - 0 + n. Suppose 2*v - 16610 = -2*w, 0 = w - 2*w - f*v + 8325. Round w to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 863*a - 78*a**4 + 56*a**2 - 862*a - 23*a**2 wrt a?\nAnswer: -1872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 63. Let c = -26 - b. Let k = -1 + 2. Sort c, -1, k in ascending order.\nAnswer: -1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 186.03491828 and -0.3.\nAnswer: 185.73491828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.78 and 722.15273?\nAnswer: 722.93273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3204324 in descending order.\nAnswer: 2, 1, -3204324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 - -305. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 31. Let l = -8 + 34. Let m = l - r. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28.69 and -0.5.\nAnswer: 28.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 553.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -1, -11, 2\/15, -12\/7, -1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 1.56 (b) -0.4 (c) 1592 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 0.0289 (c) 0 (d) -6 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 8*q**3 + 133*q**4 - 6*q**3 - 136*q**4 - 10*q in the form b*q + a*q**3 + l + i*q**2 + f*q**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*k + 16, 0 = 10*s - 6*s + 3*k + 16. Let n = -40 - -29. Let i = 15 + n. Put i, -2, s in decreasing order.\nAnswer: i, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/60 and 41\/2550.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*i + 2 = 0, 5*l + 9 - 20 = 2*i. Suppose 2*w - 4*f - 14520020 = 0, -5*f = l*w - 2*w - 7259975. Round w to the nearest one hundred thousand.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 0.1048628893\nAnswer: -0.4048628893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - k + 3. Let f be r(-6). Suppose 2*m = -m - f. Let i = -0.046 - -0.346. What is the nearest to -0.1 in -4, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 274 = 5*a. Let n = -42 + a. Suppose -i = -5*j - 12, -2*j = -i - 3*i + n. Solve 3 = 2*y + i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050\/(-140)*((-456)\/130)\/(-19)*(-8)\/(-3).\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.33 + 1.43. Let b = -1.1 - -1. What is the nearest to b in -1\/2, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-4\/9))\/n))\/n**13)\/(n**(-13)\/(n\/(n**(-5)*n))) assuming n is positive.\nAnswer: n**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -22)*((-28)\/20 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1189\/2 + -580. Let h be (-2)\/8 - (0 - 39438\/(-8)). Calculate the common denominator of q and (-2)\/(-10) - h\/1100.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 42.63. Let q = k - 15.37. What is the third smallest value in 5, 3\/7, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g\/((g\/g**(1\/2))\/g)))\/((g*g\/(g*g**2))\/g**(1\/3))*((g*g**(-1\/5))\/(g**(-2\/3)\/g))\/(g*g\/(g**(2\/7)\/g)*g)**(2\/111) assuming g is positive.\nAnswer: g**(25121\/7770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.639 or 10?\nAnswer: 4.639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 12 = -2*c, 3*z - 13*c = 4*z - 10*c - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 5 - 5*z - 6 + 45.\nAnswer: -5*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 406523 = 5*d, 7*d - 9 = 4*d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/4 (b) 0.26 (c) -2\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-84) + (721\/21)\/(196\/21). Let b*u - 12*u**2 + 3*u**3 + 75\/4 = 0. What is u?\nAnswer: -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 9292.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 19*v = -14*v - 62, -125 = -5*u - 5*v. What is the remainder when 394 is divided by 10 - (-1421)\/u - (-4)\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*j + 183*j = -56 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(60\/(-8))*6. Suppose -5*j + a = -1. What is the remainder when 8 is divided by 1\/j - (0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(0 - 3\/2). Suppose 4*g + 3 = 5*g. Differentiate -i + 2 + 0 - k**g wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -1269\/7. Let i be 20\/66*12\/(-32). Let j = i + 4\/11. What is the second biggest value in j, v, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 642, 584, 524, 462, 398?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 1.37932\nAnswer: -0.965524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -515254531 (base 6) to base 3.\nAnswer: -121210220200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.96 + -0.04. Let x = m - -14. Suppose 2*d - 31 = -25. Sort -5\/2, x, d in decreasing order.\nAnswer: x, d, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -22. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g + 29. Suppose -13*u = -25*u - 48. Let t be c(u). Suppose t*h - 2977 = -611. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (101 + 6474\/(-65))*10\/(-12)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -198*q**2 - 2. Let l(f) = -6*f**2. Give o(l(r)).\nAnswer: -7128*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*((-5)\/2 + 2). Find q, given that -q**v - 4*q + 2*q**2 + 4*q = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(6)\/sqrt(2) + 0 + sqrt(3)*2.\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2146 and 59\/348?\nAnswer: 12876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 5:29 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 + 2*m + 2. Let f be h(3). Let b be (33\/(-9))\/(f\/12). What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*3*8\/(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 1. Let n(d) = 4*d**2 + 2. Calculate n(a) + 3*s(a).\nAnswer: 4*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12440 and 371080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + m + 10 = -m, -j - 4*m + 24 = 0. Suppose 2*x + 5 = -j*f - 3, -2*f + 20 = -5*x. Suppose f = -w + 4*w - 24. Solve b + w = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78970 is divided by 1760.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 169883461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-82 + -65 - -63).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 47. Give f(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 51091376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-5)\/(-7)) - (-4 - -3). Let n(l) be the third derivative of 61*l**4\/24 + 5*l**3\/6 + l**2. Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ddd8 (base 15) to base 8\nAnswer: 133633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 117\/21 - (-6)\/14. Suppose -3*x = -o*x + 3. Suppose 19*d = 6*d + 650. Calculate the lowest common multiple of x and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 269*b**2 + 2033*b - 947. Give u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 times 0.78?\nAnswer: -0.01638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)\/(v\/((v*v**0)\/v)*v))**(-22) assuming v is positive.\nAnswer: v**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -743 >= -752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40838169695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 + 6*i - 8. Let d(r) = 12*r. What is d(b(w))?\nAnswer: 120*w**2 + 72*w - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 365547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 8. Let l be v(0). What is the second derivative of l*u - 18*u**4 + 11*u**4 + 11*u**4 wrt u?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 11. Let r be 2*11\/(-4)*-2. Let t(m) = m - 2. Give r*t(n) - 2*q(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 2*z + 3. Let c be h(-4). What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 57\/21524935?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.434 * -22\nAnswer: -9.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290013 divided by -96671.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*q + 9882 = -319*q. Suppose q + 5976 = 15*b. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115045668 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -8 - (-109822)\/(-27). Let u = j - -4061. Find the common denominator of 113\/6 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15736788643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -4*f**4\/3 + 13*f. Let n(o) = o. Calculate n(b(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 4503400?\nAnswer: 4503400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-three fifths of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1173623 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*u + 11. Let q be u\/(-6)*0 - 20. Let y = -11 - q. What is the remainder when 25 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/((-8)\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13080 times -13?\nAnswer: -170040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -0*c. Let q = 7 + -4. Calculate the remainder when c is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -157 and -149 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97906, -392924, -884620, -1572994, -2458046, -3539776?\n\"Answer: -98339*m**2 - m + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 200 = 17*t. Let m be (t\/12)\/((-2)\/6). What is the remainder when (-40)\/(-50) + (-392)\/m is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 - 4*b**2 + 2*b + 6. Let s(a) = a**3 - 1. Let m(g) = -r(g) - 3*s(g). Give m(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255777196 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.014 + -0.014. Which is the nearest to -0.1? (a) -0.3 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + -6. What is the units digit of 1*(-5)\/(d\/88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -132 + 38 + -15\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 0.2, 16 in decreasing order.\nAnswer: 16, 0.2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*c - 818 = -54*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2692431?\nAnswer: 3, 7, 42737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 3\/2*j**2 + 1\/12*j**4 + 0 + 4*j + 3\/2*j**3. Let q be r(-9). Solve 0 = w + q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-27\/2))**(-1\/9) assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**2 - 3*g**2 - 10*g**2 + 4*g**3 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 35 = 10*o, 3*o + n - 17 = 5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 9*i + 19. Let d be m(7). Solve 0*q + d = 2*q + 3*k, -3*k + 1 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/704718 and -193\/7854.\nAnswer: 7751898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 188107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let r(h) = 24*h**2 - 49630. Determine r(c(m)).\nAnswer: 24*m**2 - 49630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((3 - 10) + 24 + -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z + 4*i - 18, -2*i = -2*z + 24. Let g = z - 6. Let x = 46 - 20. Solve -x = g*u - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, 4.37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3189 + -3188.9. What is the third biggest value in 72, 0.16, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-42) + 2\/(-7). Let u = -354 - -221. Let j be 8\/40 + u\/315. Which is the closest to -1? (a) r (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.2. Let q be ((-5)\/(-25))\/(6 - 7). Let r be (-2)\/(4*(-1)\/2)*1. What is the closest to i in q, -0.5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1973279747\/24901 - 79245. Let s be ((-225702)\/(-18844))\/(-4*777\/1316). Let a = r + s. Calculate the common denominator of -57\/10 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (16 - 20 - (-1 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 14*f**5 - 710*f**4 + 9246*f**3 - 34722*f**2 - 10692*f = 0.\nAnswer: -2\/7, 0, 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {e: 2, m: 18}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 b, and 1 n when four letters picked without replacement from hnvvhthnbnhnhvhvhtbh?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**3)**(-11\/2))**4)**(2\/5) assuming b is positive.\nAnswer: b**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1\/5 + (-9)\/195?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u + 48. Let c be (24\/9 + 0)\/(8\/(-12)). Let f be p(c). Solve -3*x = -4*v, v + 3*v - 4*x = -f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = 5*w - w, 4*w = 0. Let q = -19 - -22. Let s = g - q. Solve 2*c = d + 2, 2*d = 3*d - s*c + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-1\/3)*t))\/t**(-1)*t**(-1\/4)\/((t\/t**(1\/9))\/t))**(-49))**(1\/3) assuming t is positive.\nAnswer: t**(-2107\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 595556488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 12947133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 29286274053.\nAnswer: 29286274048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150852 is divided by 267.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/122964 and -44\/93.\nAnswer: 3811884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*p**4 + 5*p**4 - p**4 - p + p**2 - p**2 + p**3 in the form r*p + f*p**4 + h*p**2 + j + d*p**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*c**4*i - 5*c**4 - 7*c**2*i*q - 8*i*q + 2*q wrt c?\nAnswer: 32*c**3*i - 20*c**3 - 14*c*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5587593 rounded to one dp?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29023?\nAnswer: 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4015911 is divided by 4016?\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -240*g**2. Let f(n) = -2*n. Give f(j(u)).\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 29. Suppose -s*w + 37 = -5. Solve 0*b + w*b = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 629, 942?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 5*z - p - 54 = 0, x*p = -3*z + 33 + 3. Let f = -1 + 2. Calculate the smallest common multiple of f and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339 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: Three letters picked without replacement from ailslgd. What is prob of sequence gis?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:45 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1298*d + 6496. Calculate b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 + -291. Let b = 115 + -577\/5. Let a = b + o. What is the common denominator of 63\/2 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350127743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16286 is divided by 634.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/2))**(-48))**(-6\/19))**(17\/2) assuming o is positive.\nAnswer: o**(1224\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -10699?\nAnswer: -10702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d. Let r(f) = -319*f. Let w(v) = 242*k(v) + 6*r(v). Let t be w(-1). Let c = t + 59. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*l - 27 = 1, 3*l - 22 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -143.94. Let h = r + -0.06. Let n = 0.3 + -0.2. What is the nearest to n in h, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*(-4)\/((-16)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341 + 349. What is the remainder when 396 - i\/(16\/(-6)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -274, -420, -582, -766, -978, -1224?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 + 7*m**5\/60 - 5*m**4\/24 - m**3\/2 - 2*m**2. Let c be g(6). Solve 0 = -2*s - c - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 216\/104 - (-1)\/(-13). Let w = -4 - -16. Suppose -4*b - 3*q + 32 = 0, -4*b + 2*q + w = -0*q. Solve -b*z - 10 = -r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1121, 2241, 3325, 4355, 5313, 6181, 6941, 7575?\n\"Answer: -3*l**3 + 1141*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749914510 a multiple of 6420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2967*i - 2967*i + 5*i**5 + 2 + (0*i**2 + 0*i**2 - i**2)*(3 - 3 - 16*i**3).\nAnswer: 21*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtdddttttdtttdttt. What is prob of sequence dttd?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1833*k**4 - 2*k**3 - 260*k**2 + 56*k. Let s(o) = -o**4 - o**3 - o**2 + 14*o. Let p(a) = -r(a) + 4*s(a). What is the third derivative of p(t) wrt t?\nAnswer: 43896*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*s - 5. Solve -3*o + 3*b = -0*b + 6, -2*o + 5*b - 13 = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4213cd - -4?\nAnswer: 4213d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/65*(-15)\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*o - 3, -4*o = -4*n - 9*o + 23. Let u = n + -5. Let a = -4\/5 + 7\/15. What is the closest to -1\/2 in a, 5, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 7\/3 (b) -2 (c) -5 (d) -3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.85 - 1. Let c = 8.7 - 2.05. Let u = c + l. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c + 2. Let r(f) = 3*f**2 + f + 2. Let q(g) = 5*g**2 + 3*g + 4. Let a(n) = 4*q(n) - 7*r(n). Determine -3*a(j) + 4*h(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 12 + 142. Suppose -2*q - 5*f - 15 = -5*q, 3*f = -2*q + 10. Suppose -v = -q*p + 28. What is the remainder when 60 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260540635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/8)*j\/j**(2\/23)*j)\/(j\/((j\/j**5)\/j)*j\/j**(3\/2)*j))**(-48) assuming j is positive.\nAnswer: j**(4926\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(136) + sqrt(136))\/sqrt(8) + ((sqrt(187)*-1)\/sqrt(11))**2 + 4.\nAnswer: 3*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v + 106. What is g(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -0.04. Let v = 1 - t. Let b(r) = 2*r**2 - 2*r + 2. Let n be b(2). Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3*b - 8. Let s be n(-5). Let q be (12\/9)\/((-12)\/s). Find m such that -8\/5*m - 6\/5*m**q - 2\/5 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 383251240 and 191625620.\nAnswer: 383251240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(-4 + 2*((-2*sqrt(704))**2 + 2))*-5.\nAnswer: -281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3335 + -3458.08. Let x = m + 123. Which is bigger: -1\/8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42\/5 of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0624069 rounded to four dps?\nAnswer: -0.0624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from xzjjjjyyzjjzzy?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.56 and 0.5.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.9885 - -41. Let q = 0.0115 - m. Which is the biggest value? (a) 2 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 230, 228, 226, 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, 6, 0, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/5 and 33\/47690.\nAnswer: 47690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 17*l + 144. Does 13 divide j(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64 - 0 - (-517 - -497). What is the greatest common divisor of w and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*j = -23, 15 = -4*z + 3*j - 35. Let s(h) = h**3 + 7*h**2 - 9*h - 12. Let n be s(-8). Put -3, n, z in ascending order.\nAnswer: z, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0915, -3302, 0.5, 3 in increasing order.\nAnswer: -3302, 0.0915, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(5\/2))\/k))\/((k\/(k**(-10)\/k))\/k) assuming k is positive.\nAnswer: k**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2278*f + 2279*f + 614*f**2 - 4557*f.\nAnswer: 614*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 0.109976.\nAnswer: 2.639424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17194 times -5?\nAnswer: 85970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81386*s + 90500 wrt s.\nAnswer: 81386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/(z*((((z*z**(-5))\/z)\/z)\/z)\/z)*(z*(z\/(z*z**6))\/z)\/(z**(3\/4)\/z))**(-20))**(-39) assuming z is positive.\nAnswer: z**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 - 23 + 121)*((-4 + 3 + 0)*(-4*z + 0*z + 5*z) + 3*z + 1 - 1) to the form s*z + v and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbqbbbbqb. What is prob of sequence bb?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/60)\/((-2)\/255). What is the least common multiple of x - 20\/(-16)*-4 and 7?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from {e: 3, x: 1, k: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72\/13*b**2 + 2\/13*b**4 + 24\/13*b**3 + 0*b + 0.\nAnswer: 2*b**2*(b + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 11:30 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Suppose -4*t - 6*w - 8 = -w, 4*t - o*w = 28. Suppose -2*x - t*x = -210. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26895081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 412597186 divided by 206298593\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1567 - 220?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5269 = -17*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4845 and 1590.\nAnswer: 513570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let g(m) = 6*m**2 - m - 2. Let k(b) = g(b) + 5*u(b). Suppose -3*q - 8 = -2. Calculate k(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -36*z - 106. Let p be r(-3). Let x be (-19 - -27)\/(0 - p). Which is the third biggest value? (a) 0.1 (b) -6 (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 831? (a) 0.3 (b) 1\/48 (c) 0 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*x**3 - 2*x**4 - 2*x**3 + 5 + 4*x**3 as f*x**2 + b*x**3 + g*x**4 + o*x + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6252.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -48780 (c) 17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -251808306 rounded to the nearest 1000000?\nAnswer: -252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d - 23*d + 8*d**3 + (d - d - d**3)*(-2 + 2 + 2) - 13*d**2 - 8 - 2*d**3 + 8 + 0*d**3 + d**3 - 3*d**3 as n*d + i*d**2 + h + b*d**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Work out 278.9 * 0.2.\nAnswer: 55.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-32))\/(2887\/(-415728))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139996 is divided by 7692.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 + 2)\/(-2))\/(5\/(-420)). Suppose -1 = -v - 2*z, 4*v = 4*z - 0*z + 16. Suppose v*n - q = 9. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.7 - 4.723. Let m = b + -29.977. Let s = m + 28. What is the second smallest value in 7, s, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 3, m: 11, t: 4}. Give prob of picking 1 q, 2 m, and 1 b.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**2 + 5 - 18 + 9 - 8 - 2*m**4 to u*m**3 + r + s*m + d*m**4 + v*m**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21722087 to the power of 1\/2, to the nearest integer?\nAnswer: 4661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(3307 - 1633 - 15293*h**2 - 1674).\nAnswer: -45879*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.589604, -2?\nAnswer: -0.589604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 210*w**4 - 7995*w**3 + 13936514?\nAnswer: 840*w**3 - 23985*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -901319, -901331, -901347, -901367?\nAnswer: -901391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 - 92. Let b = -34 + t. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1102, -4438, -10020, -17842, -27898?\n\"Answer: o**3 - 1129*o**2 + 44*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-48))\/((-4)\/(-48)*6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 54. Let a = 187 - 183. Solve d + 4 = -u, -u + a = -q*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-5))\/((-10)\/(-25)). Suppose u = -n*u. Suppose -4*r = w, -2*w + 10 = -u*w - 2*r. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:20 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppppuu. What is prob of sequence ur?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -97.26.\nAnswer: 583.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 - 11*u + 16. Suppose -27 + 0 = -3*b. What is the tens digit of r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 + 3*r - 90 = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69120901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22211001 (base 3) in base 6?\nAnswer: 45431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44791200*m**3 - 89582455*m**3 + 44791253*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 12432 + 12530 = 0. What is the remainder when 97 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.51, -2\/9, -0.3, -5 in decreasing order.\nAnswer: 0.51, -2\/9, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 71*i - 20*i + 210496 = 0. List the prime factors of i.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6253432 micrograms to milligrams.\nAnswer: 0.0006253432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a. Calculate x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 98 = -4*g - 393, 5*w = 4*g + 345. Let v be (-4)\/10 - 432\/g. Calculate the highest common divisor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -573\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 46 = -i. Let x = 69 + i. Is ((-4)\/6)\/(9\/((-146934)\/x)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1069*c**3 + 126*c**2 - 23*c - 23. Let d(o) = 267*o**3 + 32*o**2 - 6*o - 6. Let x(v) = 23*d(v) - 6*u(v). Find the third derivative of x(g) wrt g.\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, 81.\nAnswer: -2, 2, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 14*q = -t - 119, 0 = 4*q + 2*t - 506. What is the highest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away 0.485964185?\nAnswer: -0.415964185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*j - 1528 - 558 - 1677 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -269178 divided by -3094\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 924*o**2 + 90*o + 17. What is the units digit of f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280159889 to the nearest 100000.\nAnswer: -280200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r + 45*r - 144. Solve 19*q = r*q + 47*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t**2 - 7*t - 3. Calculate the remainder when 36 is divided by c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 2*f + 3)*(1 - 1 - 2*f).\nAnswer: 4*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -121240 (base 5) in base 13?\nAnswer: -2107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 224552555.9 to the nearest one million.\nAnswer: 225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (-4*sqrt(539)*-2 + sqrt(539) - sqrt(539)) + -5)*-5 + -4)**2.\nAnswer: -291200*sqrt(11) + 21570816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2992 + 2695. Is f not equal to -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*x + 19 - 583, -2*j = -2*x + 280. Calculate the highest common factor of 1633 and x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/13)*y*y**(-8))\/(y**(-12)\/(y\/(y*y\/y**9))) assuming y is positive.\nAnswer: y**(163\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17171.6 + -17171. Which is the closest to 0? (a) k (b) 0.5 (c) 0.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, 1 r, and 1 o when four letters picked without replacement from {c: 1, t: 1, r: 7, d: 4, n: 1, o: 4}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o - 61. Let f be w(0). Let i = -42 - f. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x - 1\/100*x**5 - 2 - 1\/12*x**4 + 1\/100*x**6 - 1\/1050*x**7 + 0*x**3 + 6*x**2. Factor h(w).\nAnswer: -w*(w - 5)*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (11 - (2 - -25))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17851 not equal to 17852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddduudddddddddddd. What is prob of sequence ud?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 40*g**2 + 17*g**2 + 11*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from {r: 1, m: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - -3. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18726\/31210)\/(2\/130).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 908758013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70 from -31.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*m**3 + 7*m**3 - 14 + 4*m**3 wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/2 + 27*k**3\/2 + 30*k**2 + 18*k.\nAnswer: 3*k*(k + 1)*(k + 2)*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1439*p + 1440*p + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 179*o**4 + 10038*o**3 - 220696*o**2 + 1393952*o + 6453888 = 0.\nAnswer: -3, 28, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 286*k**2 - 201*k**2 - 2*k - 4*k)*(0 - 1 - 1).\nAnswer: 974*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y**3 + 11514051*y**2 + 11925180*y + 411213 = 0. Calculate y.\nAnswer: -137071, -1, -1\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - i. Let w(z) = -29*z**2 - 8*z**2 + 117*z**3 + 24*z + 40*z**2. Let y(h) = 5*k(h) + w(h). What is the third derivative of y(a) wrt a?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.57 * -0.6\nAnswer: 5.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040435 (base 8) in base 12?\nAnswer: -221079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -4411987?\nAnswer: -4411987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-72) - (-278)\/9. Suppose -4*w - n + 35 = 0. Solve -f + w = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 313 = 3*y - 8*y, 3*y - f = 179. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7305120 and 29520?\nAnswer: 299509920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 277 + -272. Let f be 214 + t\/((-1)\/1). What is the greatest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*q - 14 - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose z - 18721439 = -3*h, 5650751 = n*h + 4*z - 6830225. Let l = 10540478 - h. Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 7}. Give prob of sequence aia.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 40*l**3 - 627*l**2 - l**4 + 6*l**4 + 587*l**2 + 720 - 480*l = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 5*x - 14. Let m be q(7). Calculate the remainder when (-9)\/(-3) - (-10 - m) is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 2.734.\nAnswer: -0.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**(-6))\/g)\/g)\/g)\/(g*g*g**3*g*g)*(g**(2\/7)\/g)\/g**(-5))**(2\/41) assuming g is positive.\nAnswer: g**(-150\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19763881 - 10112881. Round a to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326 = -0*g + 6*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5909035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4773513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 5*x - 4. Let q be l(4). Suppose q = -r + 4*r + 57. Let i = 32 + r. Calculate the remainder when 25 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -154. Let o be r - -22 - (4 + -3 + 2). Suppose o = 4*f - 0*f. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -31011.\nAnswer: -1\/31011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*t**4 + 6*t**3 + 11*t**2 - 6*t.\nAnswer: -t*(t - 1)*(t + 1)*(11*t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 17*w**2 - 8*w - 80. Let s be j(-6). Solve 2*i = -4*v + 7 - 3, -3*v + 2*i = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0)\/(5\/(-10)). Suppose -5*v - r = r + 12, r + 1 = 0. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:51 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 2*w + 6. Let j be t(4). Let h = 46.02 + -46. Which is the biggest value? (a) 4 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.332361 - -0.207573. Let o = u + -0.54. What is o rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(297\/(-22))*-3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 - (-7880)\/28) + 12\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241474 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 114904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, 23628, 0, -1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -670, -667, -662, -655, -646, -635, -622?\n\"Answer: v**2 - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 578*r**2. Let j(y) = 60*y - 1. Give n(j(f)).\nAnswer: 2080800*f**2 - 69360*f + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238370 - -238370.320013. Let l = -100 + 99.68. Let y = l + c. Round y to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 0*u**4 + 4*u**4)*(5 - 3 - 3) + (-u**3 + u**3 - 2*u**3)*(0 - 2*u + 0) - u**4 + 5 - 5.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 224483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**7\/105 + c**6\/120 + 38*c**3\/3 - 2. Let m(n) be the third derivative of f(n). What is the third derivative of m(h) wrt h?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (14 - 7) + (5 + 23 - 24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3 = -0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-5)*17272\/125222\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, g: 2, t: 1}. Give prob of sequence tp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let r(m) be the first derivative of m**3\/3 + 10*m - 11. What are the prime factors of r(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(5012 - 5012 + 382*j - 68*j) in the form a + l*j and give l.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14350.7 + -15732. Round b to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 162 + 142 + 54*c.\nAnswer: 54*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -266 in 1, -0.08, -82, -5, 8, 3\/5?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + m + 352, -244 = -0*s - 2*s - 4*m. Let z = s - 58. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 20. Let o be c(-15). Let y be 0 + 67 + (-15)\/o. Let s = y + -62. Solve 4*f = s*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:26 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*m + 8*m - 3156, -4*s + 4*m = -3168. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**3 + 147*y**2 + 20*y - 17. Let h be k(-12). What is the highest common divisor of 8225 and h?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2622 and 50370.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7 = 12. List the prime factors of (-2292)\/(-9)*(1 + a\/2).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 31\/2. Let u = -7 - x. Let b(o) = o**3 + 5*o**2 - o. Calculate the least common multiple of b(-5) and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 0*c + 1567*c**2 - 2*c - 1560*c**2)*(34 + 26 - 6).\nAnswer: 378*c**2 - 108*c + 648","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147\/184 - 21695\/1288. Let d = -103\/6 - w. Let r = -302\/105 + d. Are -2 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 2062701\nAnswer: 14\/2062701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/(-1275))\/(2\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(12\/7))**(-3\/28) assuming h is positive.\nAnswer: h**(-9\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(6\/(-9) + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61599.\nAnswer: 3, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.045136 in 1\/8, 54, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/2))\/y)\/(y\/y**(4\/15)))**(5\/9) assuming y is positive.\nAnswer: y**(-37\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -91, 3 in decreasing order.\nAnswer: 3, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzsllzz. Give prob of sequence za.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:44 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-84)*(-672)\/(-28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7445*h - 1335. Let q(u) = -3709*u + 668. Let i(v) = 5*k(v) + 11*q(v). What is the derivative of i(z) wrt z?\nAnswer: -3574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220863 = -5943*i - 623867 - 304213 for i.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - 43?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11805 and 3122760?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -141. Let u = s + 49. Are 6 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/38946138 and 23\/30600537.\nAnswer: 428407518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.9 + -10.7. Let x = 0.17 - 0.57. What is the nearest to p in x, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197.4827301 rounded to 1 decimal place?\nAnswer: 1197.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89164 * -0.5.\nAnswer: -44582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4109350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129.99 + 116.37. Which is the smallest value? (a) 3\/5 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 3, y: 10, l: 4, c: 1}. What is prob of picking 1 y, 1 c, and 2 l?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -7*j**6\/40 - 31*j**4\/24 + 8*j**2. What is the second derivative of v(o) wrt o?\nAnswer: -126*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 524801197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -245481, -490937, -736393, -981849, -1227305, -1472761?\n\"Answer: -245456*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -889*a**3*q**3 + 2*a**3*q**2*w - a**3*q - 4*a**3 - 6888*a*q**3*w - 67*a*q**2*w + 35289*a*q*w wrt q.\nAnswer: -5334*a**3 - 41328*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5 - 490*o**3 + 1320*o**2 + 485*o - 1320 = 0.\nAnswer: -11, -1, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0 + 4*v + 1\/6*v**4 + 0*v**2 - 1\/20*v**5 + 1\/2*v**3. Let w be p(3). Solve w = -5*q + 11 + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -209 - 15?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.59 and -17.\nAnswer: -10.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 203805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 985 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 12*t + 4*t**2 + 2 - 3*t**3 + 12*t in the form s*t**3 + p + y*t**2 + m*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 2*u**7\/21 - 2*u**6\/15 - 2*u**5\/5 + 2*u**4\/3 + 2*u**3\/3 - 2*u**2 + 252*u. Factor z(w).\nAnswer: 4*(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06749 and -0.134274.\nAnswer: -0.00906215226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 33523796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1580543, 1580519, 1580471, 1580393, 1580279, 1580123?\n\"Answer: -q**3 - 6*q**2 + q + 1580549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 66\/13 (c) -1\/6 (d) -24\/107 (e) -0.5 (f) -4\/3 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45386 - -284091. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 36*v - 61*v**2 + 67*v**2 - 7 - 38*v. Determine l(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10710 - -10708.9186. What is s rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 68706405*n**2 + 393380875021869*n - 393380806315467.\nAnswer: 3*(n - 11451067)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -256452379*y**4 + 45260*y**2 + y + 6?\nAnswer: -6154857096*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 56 = -217*g - 122 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n + 4. Let h be w(-4). Let l = h - -23. Calculate the remainder when 4 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*j, -3*j = -20*y + 26*y - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.07, -4 in increasing order.\nAnswer: -4, 0.07, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 11514315?\nAnswer: -1\/2302863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -3*v + 107 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 2880429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26737 (base 8) to base 4.\nAnswer: -2313133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 132*z.\nAnswer: 3*z*(z + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -752298, -752299, -752300, -752301, -752302?\nAnswer: -752303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 270 = -0*k. What is the highest common factor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/28 + (-4)\/(-14). Let k(r) = -6*r - 2. Let t be k(w). Let p be (-64)\/(-24)*(-9)\/(-6) + 0. What is the highest common divisor of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 - 3)*(-3*y - 3*y + 4*y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbdbdbfddfbb.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64ba (base 14) in base 5?\nAnswer: 1024122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2.5, 31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2856 and 5267644.\nAnswer: 3761097816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 24*r - 9. Let y be i(-20). Suppose -93 = -4*g - 4*w + y, g = 3*w + 49. 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 0.0039497119 rounded to six dps?\nAnswer: 0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 738 = 960. Let s = d - -306. Is s\/(-54) - 2\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 15}. What is prob of picking 1 h and 1 w?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1601340*g**2*v - 3*g**2 - g - 2003 wrt v.\nAnswer: -1601340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -22300411?\nAnswer: -2\/22300411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36036.37 millilitres?\nAnswer: 36.03637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14232 (base 5) in base 7?\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-24)*(-2)\/(-24)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66990, 133820, 200650?\n\"Answer: 66830*p + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -2*j + j - 3*m, 0 = 5*j - m - 651. Calculate the highest common factor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -569 + 638. Calculate the greatest common divisor of 621 and g.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 3*t = -3*p, 0 = -p + 2*t - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127353 is divided by 30997.\nAnswer: 3365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(1\/3)\/m)))\/((m*m\/(m\/(m*m\/m**(3\/8)))*m*m)\/m)*(m**(-2\/11))**17 assuming m is positive.\nAnswer: m**(-2213\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 0*y + 3*y**3 - 7*y + 2 in the form t*y + q*y**2 + s*y**3 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 33 - (1 + 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k**2 - 14918423 + 14918423 + 19*k**2.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 10*f**2 + f - 8. Let r be y(10). Let o(t) = r*t**2 - 4*t**3 + 16*t + 2 + 5*t**3 - 13*t. Give o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19269.\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -43*z**2 + 22*z + 13. Let f(x) = 20*x**2 - 10*x - 6. Give 7*f(a) + 3*n(a).\nAnswer: 11*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -197\/3. Let d(f) be the first derivative of 4 + y*f**3 + 3\/2*f**2 + 0*f. Find the second derivative of d(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:28 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 620, -3, 7, -4, 8 in decreasing order.\nAnswer: 620, 8, 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10272 and 3852.\nAnswer: 30816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**3 + 4*i**2 - i**2 + 0*i**2)*(0 + 3 - 2 + (0 - 1 + 0)*(-4 + 4 + 2) + 1 + 1 + 0 + 3 - 2 + 2) in the form x*i**2 + o*i**3 + z*i + s and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*((-24)\/(-144))\/(1\/(-57)). Calculate the highest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:56 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 9*h**2\/2 + 10*h - 1. Let k(v) = -v**2 - 5*v + 3. Let y be k(-4). Is 12 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 4*s. Let n(u) = 2*u**2 + 3*u. Let o(i) = -4*n(i) + 3*w(i). Let j(t) = -5*t**2. What is o(j(m))?\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -441222085*i**3 - 22785184*i**2 + 3?\nAnswer: -2647332510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 33. Let l be y(-8). Is 22 a factor of (-22*l)\/(-5 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-52)*(-8931)\/12366?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - k - 24, k - 24 = -3*c. Let y be (234\/4)\/(6\/c). Suppose 4*m + 51 = 4*u - 5, -5*u - 3*m = -y. Calculate the highest common factor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 15, -2*b - 2 = -2*k. Let v be ((-3)\/4)\/(k\/(-8)). Is v greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -326816, -1307221, -2941218, -5228807, -8169988, -11764761?\n\"Answer: -326796*h**2 - 17*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*n + 8 = n, 0 = -4*n + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j*k*s**3 - 4090*j*k*s**2 - 3*j*k*s - 26*j*k - 2*s**3 + 67*s wrt s.\nAnswer: -24*j*k*s - 8180*j*k - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70471116863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**4 + 486 - 702*j + 723\/2*j**2 - 78*j**3.\nAnswer: 3*(j - 2)**2*(2*j - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-21))\/((-168)\/196)*(-987)\/(-4465)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27e0c5 - -2?\nAnswer: 27e0c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 21*r + 4*r + 89 = 24*b, 5*b - 3*r = 2*r - 4*r - 41 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347080 divided by -19244?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 7765847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:50 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -122. Suppose -2*i - i + 16 = -4*x, d*i = x + 30. Suppose -s + 6*s - 220 = 0. Calculate the least common multiple of s and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 46 = 3076347*f - 3076341*f, 2*f - 3*f - 21 = -3*z for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.222 and 0.2.\nAnswer: -0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 9*w**2 + 4*w - 26. Suppose -2*v + 32 = -4*z, -3*v + z = -21 - 7. Let k(i) = 2*i - 7. Let f be k(v). What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/14))**(-35\/2)*(l\/(l\/(l*l**(-2\/7)*l)))**(-6\/29))**50 assuming l is positive.\nAnswer: l**(-438575\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 10 = -f - 5*o, -8*o - 109 = -5*f. Solve h - p + 3 = -0, 0 = -3*h - 3*p + f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*d + 5 + 0*d - 38 - 29 - 3*d + 55 + (1 + 0 + 0)*(-3*d + d + 4*d) + 3*d - 2*d + d.\nAnswer: 3*d - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 3*k**4\/4 - 2*k**3\/3 - 2*k + 3. Let p be d(2). Calculate the remainder when 38\/p - 2\/(-7) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 0 - (-6)\/33 - 1351\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*3468\/7803*(-2295)\/(-6).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 7 = 5*o, 18*u - 4 = 22*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1925619 (base 10) to base 2.\nAnswer: -111010110000111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 12. Let s = 30 - 22. Let z(v) = 7*v + 18. Let b(d) = s*p(d) - 5*z(d). Let k(t) = -14*t - 19. Let n(i) = 11*b(i) + 4*k(i). Give n(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (2*(sqrt(612) - (-3*(sqrt(612) - 1*sqrt(612)))**2) - (sqrt(612) + (sqrt(612) + 1)*3 + -3*(sqrt(612) + 1))**2).\nAnswer: -606 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -10, -11, -27, -3, -56 in decreasing order.\nAnswer: 5, -3, -5, -10, -11, -27, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 343413*d - 1373604.\nAnswer: -3*(d + 4)*(d + 114467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -68, -93?\n\"Answer: -25*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1575) - (sqrt(1575) - (sqrt(1575) - (sqrt(1575) + (-1*sqrt(1575) - sqrt(1575)))))*4) + 5 - (-5*sqrt(1575)*2*-4 + 5)**2.\nAnswer: -2520015 - 5925*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 50*g + 61 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/27241140 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. What is the third derivative of 5*h**5 + h**2 + 0*h**2 + v*h**2 wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (-76 - -42) + 41.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81861618 divided by 6?\nAnswer: -13643603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:58 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhbf when four letters picked without replacement from {b: 1, u: 9, h: 4, f: 2, n: 1}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 214. Suppose r = y + y - 4*x, 5*x = -5*y + 400. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/9 + 2*s**2\/9 - 64*s\/3 - 88 = 0. What is s?\nAnswer: -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r - 64 = 64*r + 24 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-16))\/((-35)\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 17, -40?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 20*v**3 - 1 + v**2 - 350*v + 351*v. Calculate n(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 - 7*l**2 + 0*l**3 + 0*l - 7\/24*l**4. Let o(r) = -3*r. Give u(o(m)).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 43*r - 29. Let z be l(13). Let h = z + 154. Solve -30*u - h = -34*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/116 or -403\/4?\nAnswer: -403\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haah when four letters picked without replacement from {a: 3, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}